Conlon Chemicals manufactures paint thinner. Information on the work in process follows: - Beginning inventory, 44,400 partially complete gallons. - Transferred out, 214,500 gallons. - Ending inventory (materials are 20 percent complete; conversion costs are 8 percent complete). - Started this month, 237,400 gallons. Required: a. Compute the equivalent units for materials using the weighted-average method. b. Compute the equivalent units for conversion costs using the weighted-average method.

Answers

Answer 1

Beginning Work in Process = 44,400 Gallons

Transferred Out = 214,500 Gallons

Ending Work in Process = 23,500 Gallons

Percentage Complete = 8% (Conversion Costs)

44,400 gallons + 237,400 gallons = 281,800 gallons281

a. Compute the equivalent units for materials using the weighted-average method. The weighted average method considers the beginning work in process as well as the cost of units started and completed during the period to calculate the equivalent units of materials in the process.

The equivalent units of materials in the process can be calculated as follows: Equivalent Units = Units Completed and Transferred Out + (Ending Work in Process × Percentage Complete)For materials, the equivalent units can be calculated as follows:

Completed and Transferred Out = 214,500 gallons Ending Work in Process = 23,500 gallons × 8% = 1,880 gallons

Equivalent Units = 214,500 gallons + 1,880 gallons = 216,380 gallons

Therefore, the equivalent units for conversion costs using the weighted-average method is 216,380 gallons.

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Related Questions

The following information was extracted from the books of KASTA Business on 31 December Additional information: (i) Withdrawal of RM5,000 from bank account has not been recorded. (ii) Advertising expenses RM65,000 were outstanding. (iii) All non-current assets are depreciated at 30% per annum, using reducing balance method. (v) Closing Inventory RM84,300 fully counted on 31 December. Required: Show all your working. (a) Prepare the Income Statement for the year ended 31 December 2021, and (b) the Balance Sheet as at 31 December 2021 .

Answers

The bank balance has been shown as RM 10,000 and not RM 5,000.

Part (a) Income Statement for the year ended on December 31, 2021 Particulars RM Revenue 700,000 Cost of goods sold Opening inventory 125,500 Add Purchases (10,11,12)500,000

Less Closing inventory (84,300)541,200 Gross profit 158,800 Less Operating expenses Advertising expense65,000Depreciation expense [(400,000 - 40,000) × 30%]108,000173,000 Net income before taxation(14,200) Less Taxation  Nil Net Income(14,200)

Note: Non-current asset of RM 40,000 is subtracted to determine the book value of the non-current asset on which depreciation is applied.

Part (b) Balance Sheet as at December 31, 2021  Liabilities RM Assets RM Current liabilities Accounts payable 125,500 Outstanding Advertising expense 65,000190,500Non-current liabilities Long-term loan200,000

Total liabilities390,500 Current assets Inventory 84,300 Accounts receivable95,000 Bank balance 10,000189,300

Non-current assets Property, plant, and equipment 40,000 Less Accumulated depreciation(108,000)32,000

Total assets221,300Total liabilities and equity611,800

Note: The withdrawal of RM 5,000 from the bank account has not been recorded. Thus, the bank balance has been shown as RM 10,000 and not RM 5,000.

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s
Prepare the appropriate journal entries for each of the following transactions in 2014. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. List all debit entries before credit entries.)
2. Sarasota Analysts purchased $336,000 of its bonds on June 30, 2014, at 101 and immediately retired them. The carrying value of the bonds on the retirement date was $329,600. The bonds pay semiannual interest and the interest payment due on June 30, 2014 has been made and recorded. Prepare the journal entry for the retirement of the bond.
No.
Account Titles and Explanation
Debit
Credit
2.
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enter a credit amount
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The following journal entry will be recorded;

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Answer:

The journal entry for the retirement of the bonds is as follows:

Account Titles Debit Credit

Bonds Payable $336,000

Loss on Bond Retirement $6,400

Premium on Bonds Payable $329,600

Explanation:

The journal entry for the retirement of the bonds is as follows:

Date: June 30, 2014

Account Titles Debit Credit

Bonds Payable $336,000

Loss on Bond Retirement $6,400

Premium on Bonds Payable $329,600

Explanation:

The Bonds Payable account is debited for the face value of the bonds retired, which is $336,000.

Loss on Bond Retirement is debited for the difference between the carrying value and the purchase price of the bonds, which is ($329,600 - $336,000 = $6,400). This represents the loss incurred on the retirement.

Premium on Bonds Payable is credited for the amount of premium that was amortized up to the retirement date, which is $329,600. This reduces the carrying value of the bonds.

Please note that the interest payment due on June 30, 2014, has already been made and recorded separately and is not included in this journal entry.

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The journal entry for the retirement of the bonds is as follows:

Account Titles Debit Credit

Bonds Payable $336,000

Loss on Bond Retirement $6,400

Premium on Bonds Payable $329,600

The Bonds Payable account is debited for the face value of the bonds retired, which is $336,000.

Loss on Bond Retirement is debited for the difference between the carrying value and the purchase price of the bonds, which is ($329,600 - $336,000 = $6,400). This represents the loss incurred on the retirement.

Premium on Bonds Payable is credited for the amount of premium that was amortized up to the retirement date, which is $329,600. This reduces the carrying value of the bonds.

Please note that the interest payment due on June 30, 2014, has already been made and recorded separately and is not included in this journal entry.

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Wilson Company prepared the following preliminary budget assuming no advertising expenditures: Selling price ........................ $10 per unit
Unit sales..............................100,000
Variable expenses.................$600,000
Fixed expenses.....................$300,000
Based on a market study, the company estimated that it could increase the unit selling price by 20% and increase the unit sales volume by 10% if $100,000 were spent on advertising. Assuming that these changes are incorporated in its budget, what should be the budgeted net operating income?

Answers

the budgeted net operating income will be $320,000 after the given changes are incorporated in the budget.

The solution is given below:

It is given that:

Selling price = $10 per unit

Unit sales = 100,000

Variable expenses = $600,000

Fixed expenses = $300,000

If the company estimates to increase the unit selling price by 20% and increase the unit sales volume by 10%, then the new selling price will be:

Selling price = $10 + 20% of $10

Selling price = $12

Variable expenses will not change.

Fixed expenses will remain the same.

Expenditure on advertising = $100,000

New unit sales = 100,000 + 10% of 100,000

New unit sales = 110,000

The budgeted net operating income can be calculated as follows:

Budgeted revenue = New unit sales × Selling price

Budgeted revenue = 110,000 × $12

Budgeted revenue = $1,320,000

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In an Edgeworth box, suppose that the preferences of the two consumers are represented by lines (and not curves) with different marginal rates of substitution (the slopes of the lines are different). In this case, the competitive market equilibrium is necessarily:
A. On the price line that goes through the initial endowment
B. an allocation with all units of one good for one consumer, and all units of the other good for the other consumer
C. impossible to find
D. the initial endowment
E. an allowance on the edges of the Edgeworth box

Answers

Edgeworth Box is an economic model, named after Francis Ysidro Edgeworth, that can help in demonstrating how two-party, two-good exchange relationships can be in equilibrium. In an Edgeworth box, the preferences of the two consumers are represented by lines (and not curves) with different marginal rates of substitution (the slopes of the lines are different). In this case, the competitive market equilibrium is necessarily on the price line that goes through the initial endowment.

Therefore, option (A) is the correct answer. This is because; the competitive market equilibrium in an Edgeworth box, where the preferences of the two consumers are represented by lines (and not curves) with different marginal rates of substitution, is necessarily on the price line that goes through the initial endowment.

It can be observed that with unequal slopes of the indifference curve, the point of maximum satisfaction for both the consumers can't be located on the contract curve. However, an optimal point of equilibrium is located on the price line. The allocation of goods to each consumer varies with the preference of the consumers.

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Suppose the MPC (marginal propensity to consume) is 0.6. For a given magnitude of fiscal policy (lets say an increase in government spending by $100 b or a decrease in taxes (lump-sum) by $100 b ), compare the magnitude of change in real GDP as a result of increase in government spending to the magnitude of change in real GDP as a result of tax cut.

Answers

Marginal Propensity to Consume (MPC) refers to the amount of an increase in consumption due to an increase in income. The relationship between an increase in government spending and tax cut on the magnitude of change in real GDP will vary depending on the value of MPC.

Let's assume that the value of MPC is 0.6.

In this case, an increase in government spending by $100 billion would lead to an increase in GDP by $100 billion x 1/ (1-0.6) = $250 billion. This is because the increase in government spending would lead to an increase in income, which in turn would lead to an increase in consumption.

On the other hand, a tax cut of $100 billion would lead to an increase in disposable income, which would lead to an increase in consumption. The magnitude of change in real GDP as a result of the tax cut would be given by:

Change in GDP = MPC x Change in Disposable Income

= 0.6 x $100 billion

= $60 billion

Therefore, the magnitude of change in real GDP as a result of the increase in government spending ($250 billion) is greater than the magnitude of change in real GDP as a result of the tax cut ($60 billion). This is because the multiplier effect of an increase in government spending is greater than the multiplier effect of a tax cut.

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Olde Town Hospital is accounted for in an enterprise fund of Olde Towne Township. The following data comes from the hospital's financial statements. Total revenues were $20 million. Total expenses were $18 million, consisting of patient care expenses - $13 million; administrative expenses - $2 million; depreciation - $2 million; and interest on long-term debt - $1 million. Principal payments on long-term debt were $1.5 million.

What is the hospital's debt service coverage?

Answers

According to given statement debt service coverage can be calculated by dividing its net operating income by its annual debt service payment the hospital's debt service coverage is 0.8.

Olde Town Hospital's debt service coverage can be calculated by dividing its net operating income by its annual debt service payment. Net operating income can be calculated by subtracting the hospital's total expenses from its total revenues.

In this case, the hospital's total revenues were $20 million and total expenses were $18 million. To find the net operating income, we subtract the total expenses from the total revenues:

Net Operating Income = Total Revenues - Total Expenses
Net Operating Income = $20 million - $18 million
Net Operating Income = $2 million

Now, let's calculate the hospital's debt service coverage. The annual debt service payment is the sum of the principal payments on long-term debt and the interest on long-term debt.

Annual Debt Service Payment = Principal Payments on Long-Term Debt + Interest on Long-Term Debt
Annual Debt Service Payment = $1.5 million + $1 million
Annual Debt Service Payment = $2.5 million

Finally, we can calculate the debt service coverage by dividing the net operating income by the annual debt service payment:

Debt Service Coverage = Net Operating Income / Annual Debt Service Payment
Debt Service Coverage = $2 million / $2.5 million
Debt Service Coverage = 0.8

In conclusion, the hospital's debt service coverage is 0.8.

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Euro-British Pound. How would the call option premium change on the right to buy pounds with euros if the euro interest rate changed to 4.1545% from the initial values listed in this table: The call option on British pounds, if the euro interest rate changed to 4.1545%, would be € ¡ . (Round to four decimal places.)

Answers

A call option provides the holder the right, but not the obligation, to buy a fixed number of shares of the underlying stock at a given price within a given period of time.

The price, or premium, of the call option is the price paid for this right. When the interest rate in the currency used to purchase the option increases, the value of the call option decreases. A call option on British pounds would increase in value if the euro interest rate decreases. 

A call option on the Euro-British Pound would decrease in value if the euro interest rate increases.  The relationship between interest rates and the value of currency is significant in the pricing of foreign currency options. When interest rates in the country of the currency decrease, the currency value increases, thus causing the premium to rise.

When interest rates in the country of the currency increase, the currency value decreases, thus causing the premium to fall. If the euro interest rate changed to 4.1545%,

The call option on British pounds would be € 0.0284 (rounded to four decimal places). 

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Discuss the types of skills that a system analyst should have so
as to succeed in his work on Information Systems projects.

Answers

A system analyst should have a combination of technical, interpersonal, and business skills to be successful in their work on information system projects.

System analyst requires a variety of skills to be successful in their work on information system projects. These skills include both technical and non-technical skills. The skills required are discussed below:

Technical Skills

A system analyst should possess technical skills to comprehend and analyze system needs, limitations, and specifications and provide technical solutions. In general, these technical skills are critical in identifying any underlying issues in systems and determining the most effective ways of resolving them. Some technical skills required include:

Programming knowledge

Database skills

Web development and design skills

Software knowledge

Network skills

Database management

Non-Technical Skills

Communication Skills: To communicate and coordinate with different stakeholders of the project. Being a system analyst requires being able to convey complex technical details in an easy-to-understand manner.

Problem Solving Skills: To develop and implement solutions to technical and business problems.

Critical Thinking Skills: To be able to identify the advantages and disadvantages of various solutions to a problem and select the best one.

Project Management Skills: To manage multiple tasks, anticipate issues, manage team members, and ensure the project meets its objectives.

Leadership Skills: To provide leadership to team members, keep track of progress, and communicate with stakeholders.

Business Skills: To understand business processes, financial statements, market trends, and competitive analysis. This skill helps the analyst to tailor the technology solution to the organization's particular business needs.

In conclusion, a system analyst should have a combination of technical, interpersonal, and business skills to be successful in their work on information system projects.

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1. What significant changes have occurred over the past two years that have altered the global marketplace? How is this different than in the past? 2. What role does faith play in the global marketplace?

Answers

1. Significant changes that have occurred over the past two years that have altered the global marketplace are Globalization, Technology, E-commerce, and Legal and Regulatory Changes.

2. Faith can play a significant role in the global marketplace in several ways. First, many businesses operate based on religious principles and values.

1. Significant changes that have occurred over the past two years that have altered the global marketplace:

Globalization: The number of multinationals continues to grow every year, and businesses of all sizes can now go global at a faster pace than ever before.

Technology: Advancements in technology and communications have made it possible to connect with people all around the world more easily than ever before. This is enabling companies to create and market products in ways that were previously impossible.

E-commerce: E-commerce has exploded in popularity in recent years, and it is rapidly changing the way people shop and do business. As more and more people around the world gain access to the internet, the potential for online sales and marketing continues to grow.

Legal and Regulatory Changes: Governments around the world continue to create and revise laws and regulations that impact the global marketplace. For example, Brexit is causing significant changes in trade and investment relationships within Europe.

2. Role of faith in the global marketplace:

Faith can play a significant role in the global marketplace in several ways. First, many businesses operate based on religious principles and values. For example, some companies may prioritize ethical business practices or environmental sustainability based on their religious beliefs.

Second, faith can be a source of inspiration and motivation for entrepreneurs and business leaders. Many people find that their faith helps them stay focused and committed to their work, even during difficult times.

Finally, faith can be a powerful tool for connecting people from different cultures and backgrounds. Many businesses are now focusing on diversity and inclusion, and faith can be an important part of that effort. For example, companies may hold interfaith events or encourage employees to share their religious traditions with one another. As global markets continue to evolve, it is likely that faith will play an increasingly important role in shaping the business landscape.

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QUESTION 4
4.1 A toy company produces four different products that are processed in four distinct departments labelled A, B, C, and D. The below table indicates the processing information for the respective products.
4.1.1 Develop a from-to-chart for the four products.
4.1.2 Calculate the efficiency of the workflow.
(16)
(4)

Answers

To develop a from-to-chart for the four products and calculate the efficiency of the workflow, we need information on the flow of products between the departments.

Unfortunately, the table or specific details on the flow of products are not provided in your question. Please provide the necessary information or provide the table that indicates the processing information for the respective products, including the flow between departments, so that I can assist you further in developing the from-to-chart and calculating the efficiency of the workflow. Workflow refers to the sequence of tasks or activities required to complete a specific process or project within an organization. It involves the movement of information, materials, or tasks from one person or department to another in a predefined order. A well-designed workflow ensures efficiency, coordination, and smooth collaboration among team members. It helps streamline processes, automate repetitive tasks, and ensure proper allocation of resources. By defining roles, responsibilities, and decision points, workflows enhance productivity, reduce errors, and improve overall operational effectiveness. Effective workflow management is crucial for organizations to optimize their operations, achieve timely deliverables, and meet customer expectations.

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A copy of the signed contract is delivered to the purchaser
A salesperson obtains a written offer to purchase a home that she has listed for sale. The seller accepts the offer and the salesperson promptly telephones the purchaser to notify him of the acceptance. Because the purchaser lives in another state, the salesperson informs him that she will fax a copy of the contract tomorrow. When salesperson has an enforceable contract when

Answers

The salesperson has an enforceable contract when the signed contract is delivered to the purchaser.

In the scenario, a salesperson obtains a written offer to purchase a home that she has listed for sale. The seller accepts the offer and the salesperson notifies the purchaser of the acceptance. However, the salesperson has an enforceable contract when the signed contract is delivered to the purchaser.

In other words, the salesperson notifying the purchaser of the acceptance and faxing the copy of the contract does not create an enforceable contract. It is only when the signed contract is delivered to the purchaser that the contract becomes enforceable.

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Cullumber Company is considering a capital investment of $216,200 in additional productive facilities. The new machinery is expected to have a useful life of 5 years with no salvage value. Depreciation is by the straight-line method. During the life of the investment, annual net income and net annual cash flows are expected to be $10,810 and $47,000, respectively. Cullumber has a 12% cost of capital rate, which is the required rate of retum on the investment. Click here to view PV table. (a) Compute the cash payback period. (Round answer to 1 decimal place, e.g. 10.5.) Cash payback period years Compute the annual rate of return on the proposed capital expenditure. (Round answer to 2 decimal places, eg. 10.52\%.) Annual rate of return % (b) Using the discounted cash flow technique, compute the net present value. (If the net present value is negative, use either a negative sign preceding the number e.g. −45 or parentheses eg. (45). Round answer for present value to 0 decimal places, e.g. 125. For calculation purposes, use 5 decimal places as displayed in the factor table provided.) Net present value TABLE 1 Future Value of 1 TABLE 2 Future Value of an Annuity of 1 TABLE 3 Present Value of 1 \begin{tabular}{cccccccccccc} (n) & & & & & & & & & & \\ Periods & 4% & 5% & 6% & 7% & 8% & 9% & 10% & 11% & 12% & 15% \\ \hline 1 & .96154 & .95238 & .94340 & .93458 & .92593 & .91743 & .90909 & .90090 & .89286 & .86957 \\ \hline 2 & .92456 & .90703 & .89000 & .87344 & .85734 & .84168 & .82645 & .81162 & .79719 & .75614 \\ \hline 3 & .88900 & .86384 & .83962 & .81630 & .79383 & .77218 & .75132 & .73119 & .71178 & .65752 \\ \hline 4 & .8440 & .82270 & .79209 & .76290 & .73503 & .70843 & .68301 & .65873 & .63552 & .57175 \\ \hline 5 & .82193 & .78353 & .74726 & .71299 & .68058 & .64993 & .62092 & .59345 & .56743 & .49718 \\ \hline \end{tabular} Present Value of an Annuity of 1

Answers

The answer is, Cash payback period is 4.6 years and Net present value is $-758.76.

How  to find?

To calculate cash payback period, first, calculate the net cash inflows for each year and then the net initial investment. Then, divide the net investment by the average annual net cash inflows to get the cash payback period.

Calculation of annual rate of return:

Annual rate of return is the percentage of return that an investment generates per year. The formula for the annual rate of return is:

Annual rate of return = (average annual net cash inflows / initial investment) * 100.

Using the formula, we get:

Annual rate of return = (47,000 / 216,200) * 100

= 21.74%

Net present value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows over a period of time. It is used to evaluate investment opportunities or projects.

Using the discounted cash flow technique, the net present value can be calculated as follows:

Year

Annual Cash Flows

Discount Factor at 12%

Discounted Cash Flows

0-216,2001.0000-216,200147,0000.8928

=131,0762-216,2000.7972

=-172,2233-216,2000.7120

=-154,2644-216,2000.6366

=-137,5875-216,2000.5674

=-122,794

Net present value = $-758.76 (Negative)

Therefore, the answers are:

(a) Cash payback period = 4.6 years(rounded to 1 decimal place)

Annual rate of return = 21.74%(rounded to 2 decimal places)

(b) Net present value = $-758.76 (Negative)

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Aneko Company reports the following: net sales of $19,500 for Year 2 and $18,525 for Year 1 , end-of-year total assets of $18,800 for Year 2 and $17,700 for Year 1 1. Compute its total asset tumover for Year 2. 2. Aneko's competitor has a turnover of 20 . Is Aneko performing better or worse than its competitor based on total asset turnover? Complete this question by entering your answere in the tabs below. Compute its total asset turnover for Year 2. Aneko Company reports the following: net sales of $19,500 for Year 2 and $18,525 for Year 1 ; end-of-year total assets of $18.300 for Year 2 and $17,700 for Year 1 1. Compute its total asset tumover for Year 2 . 2. Aneko's competitor has a tumover of 20 . is Aneko performing better or worse than its compettor based on total asset furnover? Complete this question by entering your answers in the tabs below. Aneko's competitor has a tumover of 2.0. Is Aneko performing better or worse than its competitor based on total asset turnover? Is Aneko performing better or worse than its competitor based on total asset turnoves?

Answers

1. Computation of Aneko Company's Total Asset Turnover for Year 2:Total Asset Turnover = Net Sales / Average Total Assets Average Total Assets = (Ending Total Assets + Beginning Total Assets) / 2

Ending Total Assets for Year 2 = $18,800Beginning Total Assets for Year 2 = Ending Total Assets for Year 1 = $17,700Therefore, Average Total Assets = ($18,800 + $17,700) / 2 = $18,250Total Asset Turnover = Net Sales / Average Total Assets = $19,500 / $18,250 = 1.07

Therefore, Aneko Company's total asset turnover for Year 2 is 1.07.2. Comparison of Aneko Company's and its Competitor's Total Asset Turnover: Total Asset Turnover is a measure of a company's efficiency in utilizing its assets to generate sales.

Higher Total Asset Turnover indicates better efficiency and is preferred in comparison to a lower turnover. In this case, Aneko's competitor has a Total Asset Turnover of 2.0. Whereas, Aneko's Total Asset Turnover is 1.07. T

hus, Aneko Company is performing worse than its competitor based on Total Asset Turnover.

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5. Last week, Meerai and her friend Sean organized a school group to raise funds for AIDS research. Yesterday, on their desks, they both found crudely-drawn cartoons making fun of people who are bisexual. Last night, several students shouting anti-LGBTQ comments verbally attacked them on the street opposite the school yard. Their teacher saw the cartoons and has heard rumours of the verbal attack, but feels that nothing can be done because the attack took place off the school premises. Neither student has complained to school officials. Have the students violated Meerai and Sean's human rights?

Answers

Yes, the students have violated Meerai and Sean's human rights. Human rights are a set of rights that belong to everyone, regardless of their gender, race, religion, nationality, or any other aspect. Human rights are a set of basic rights that should be protected and ensured for everyone without discrimination of any kind.

The Universal Declaration of Human Rights (UDHR), adopted by the United Nations General Assembly in 1948, contains a list of fundamental human rights that should be safeguarded in all societies. Some of the essential rights included in the UDHR are the right to life, liberty, and security of person; freedom from torture and slavery; freedom of opinion, expression, and religion; and the right to work and an education. As per the scenario mentioned in the question, the students have violated Meerai and Sean's human rights because they shouted anti-LGBTQ comments verbally and also drew cartoons which are making fun of people who are bisexual. Human rights violations can occur when people's rights are violated because of their race, gender, religion, ethnicity, nationality, or any other aspect. It is the responsibility of everyone to respect and protect the human rights of all individuals.

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Imagine that Beth is the best florist in the world and the best pianist in the world. But can earn more as a florist than a pianist. Using this example explain the difference between comparative and absolute advantage and tell us what profession Beth should pick.(200 words)

Answers

Beth is the best florist and pianist in the world, but she can earn more as a florist than as a pianist. This is an example of the difference between comparative and absolute advantage.

Comparative advantage is when a person or a country has a lower opportunity cost than another person or country in producing a good or service. Opportunity cost is the value of the next best alternative given up to pursue the chosen option. In this example, Beth has a comparative advantage in floristry because she earns more as a florist than a pianist. Therefore, if she has to choose one profession, it would be floristry.

She has a comparative advantage in floristry because she earns more as a florist than as a pianist. Hence, if she has to choose one profession, it would be floristry as she can earn more in that profession. Beth should choose to pursue floristry as it is the profession that will allow her to maximize her earnings.

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The manufacturer of a product had fixed costs of $120,800 per
year. The variable costs are 60% of selling price. What is the
break-even point in sales dollars?
Round to the nearest cent

Answers

Break-even point can be defined as the sales level required to cover all the costs and expenses that a company bears. To find out the break-even point, we need to have information on total fixed costs, variable costs, and selling price.In this problem,

we have fixed costs of $120,800 per year and variable costs of 60% of selling price. We need to find out the break-even point in sales dollars. Let’s solve the problem:

Let S be the selling price per unitSelling price per unit (P) = SVariable cost per unit = 0.6STotal cost = Total fixed cost + Total variable costTotal cost = $120,800 + 0.6SWe know that break-even point is the point where Total cost = Total RevenueTotal revenue = Selling price per unit (P) × Quantity sold(Q)Total revenue = SPWe have,Total cost = Total Revenue$120,800 + 0.6S = SPut SP on one side to get the break-even sales equationSolve for S,$$\begin{aligned}&120,800+0.6S=S\\&120,800=0.4S\\&S=\frac{120,800}{0.4}\\&S=302000\end{aligned}$$Therefore, the break-even point in sales dollars is $302,000.

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Describe the difference between the current ratio and the acid test ratio. Which one do you think is more useful and why?

Answers

Current ratio and acid test ratio are both liquidity ratios that are used to determine a company's ability to pay off its current liabilities using its current assets. Here is a detailed explanation of the difference between the two ratios:

Current Ratio: This ratio is a measure of a company's ability to pay off its current liabilities using its current assets. It is calculated by dividing the company's current assets by its current liabilities. The current ratio measures the company's overall liquidity, including its inventory and prepaid expenses. It is expressed as a decimal or a ratio. A current ratio of 1:1 or above is generally considered healthy.

The Acid Test Ratio: The acid test ratio is a measure of a company's ability to pay off its current liabilities using its most liquid assets. It is calculated by dividing the company's current assets minus inventory and prepaid expenses by its current liabilities. This ratio is also known as the quick ratio or the liquid ratio. The acid test ratio is more conservative than the current ratio since it excludes inventory and prepaid expenses from current assets, which are not as liquid. A quick ratio of 1:1 or above is generally considered healthy. The acid test ratio is more useful than the current ratio in determining a company's short-term liquidity. The acid test ratio measures a company's ability to meet its short-term obligations using its most liquid assets. This ratio is a more conservative measure of a company's liquidity since it only takes into account its most liquid assets.

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DRUG PRICES: MARKET PRICING OR PRICE GOUGING? Drug makers persist in raising prices far beyond the rate of inflation. 2-Why would pharmaceutical companies choose to raise prices in direct contradiction to the President's request to hold them level?

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Pharmaceutical companies choose to raise prices in direct contradiction to the President's request to hold them level because they want to earn profits. They want to make money as much as possible.

The manufacturers persist in raising drug prices far beyond the rate of inflation because of the following reasons:

Making more profits – Pharmaceutical companies raise prices to make more profits from the customers. They do so to offset the increased cost of research and development of new drugs they introduce into the market.Greediness – Pharmaceutical companies may also raise prices because of greediness.

They do not care about the welfare of customers, but their goal is to make more profits. Patent protection – Pharmaceutical companies hold patent protection over a drug for a certain number of years. During this time, the company has the right to sell the drug for more than 100% of the cost of production.

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(a) OCBC Bank is offering an interest rate of 7% per annum for fixed deposit account holder. The minimum deposit amount is RM10,000. If you had deposited RM20,000 into the fixed deposit account today, how much would it be worth 10 years later. Compute total returns using compound interest method and draw the cashflow diagram.

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Given that OCBC Bank is offering an interest rate of 7% per annum for fixed deposit account holders. The minimum deposit amount is RM10,000. If someone had deposited RM20,000 into the fixed deposit account today, how much would it be worth 10 years later.

We have to compute the total returns using the compound interest method and draw the cash flow diagram. Compound interest is the interest added to the principal amount of a loan or deposit. It is calculated by adding interest to the principal amount so that the interest that has been added also earns interest.

A deposit of RM20,000 is made in a fixed deposit account that pays 7% interest annually. The interest rate is compounded annually, and the deposit has a term of 10 years. We must calculate the worth of the fixed deposit account after ten years.

The interest rate is 7% per annum, which means that the interest rate for the year will be 7/100 = 0.07. The deposit of RM20,000 would earn an interest of 7% per annum for the entire 10 years, using compound interest.

Thus, FV = 20,000 x (1 + 0.07/1)^(1*10) = 20,000 x 1.96715 = RM 39,343 Compound interest formula can be used to calculate the total interest earned over ten years as follows:  Total Interest (I) = FV - P = RM39,343 - RM20,000 = RM19,343.

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When you go to a store, you want to know whether things are high quality or low quality and whether they are underpriced or overpriced. When buying goods, you do this in many different ways - you comparison shop, check for sales, read online reviews, and consult professional surveys (such as Consumer Reports magazine). Let's zero in on that last one: the professionals who review products and say which ones are high-quality and well-priced.
Equity analysts like Alberto Moel are the Consumer Reports of capital markets. They look at the equity values of companies and make judgments on the relationship between a company’s value and their current price. On the basis of their analysis, they makes a final call - buy, hold or sell.
Analysts need information to do this important task, and they spend most of their days on the phone trying to get it. Who do you think they are on the phone with?

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Equity analysts are the Consumer Reports of capital markets. They look at the equity values of companies and make judgments on the relationship between a company's value and their current price. On the basis of their analysis, they make a final call - buy, hold or sell.

Who are they on the phone with?

Equity analysts are usually on the phone with the following people to get information:

Management: Management is usually the first point of contact for the analyst. Analysts may reach out to the management of a company for clarity on certain aspects of the business such as strategy, outlook, management style, etc. In some cases, the management may even offer up information without being prompted to gain investor interest.

Customers and competitors: Analysts reach out to the customers of a company for feedback and opinions on the company's products and services. Competitors may also be contacted to get a better understanding of the competitive landscape and how the company is doing compared to its peers.

Industry experts: Analysts contact industry experts for their opinions on the industry and the company. They may also ask for industry data to form the basis of their analysis.Regulators: Equity analysts may reach out to regulators for information on the regulatory environment in which the company operates. Analysts need to understand how regulatory changes may affect the company's financial performance.

Other experts: Equity analysts may reach out to other experts such as accountants and auditors to get an understanding of the company's financials and how they are being accounted for.

Overall, equity analysts are on the phone with a wide range of people and organizations to get information that will help them form an opinion on the company.

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Consider an open economy with flexible exchange rates. Output is at the natural level and there is a trade deficit. Also, the Marshall-Lerner condition holds. The government wants to reduce the trade deficit and leave the level of output at its natural level. What is the appropriate fiscal and monetary policy mix? a. an increase in interest rates and no fiscal policy variation b. an increase in interest rates and a fiscal expansion c. an increase in interest rates and a fiscal contraction d. a cut in interest rates and a fiscal expansion e. a cut in interest rates and a fiscal contraction

Answers

An open economy with flexible exchange rates requires a combination of monetary and fiscal policies to manage the balance of trade deficit.

The combination of the two policies will enable the government to reduce the trade deficit and leave the level of output at its natural level.

The appropriate fiscal and monetary policy mix for the government to reduce the trade deficit and leave the level of output at its natural level in an open economy with flexible exchange rates is option C, which is an increase in interest rates and a fiscal contraction.

An increase in interest rates will lead to an appreciation of the exchange rate, thereby making imports cheaper, and exports expensive, thus reducing the trade deficit.

Fiscal contraction will involve the government implementing austerity measures such as increasing taxes and reducing spending to reduce the overall demand for goods and services, which will also reduce the trade deficit.

Together, these policies will help the government to reduce the trade deficit while keeping the output level at its natural level.

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Open the 10C10−1 Magazines file. 3) Record January 31 month-end adjustments for Rama Magazines, a company that supplies various magazines, candy and small toys to businesses. Rama Magazines is using the COMPANY. PAYABLES, RECEIVABLES, and INVENTORY \& SERVICES modules and does not use the Account Reconciliation journal. Rama Magazines has the following adjustments for the January month-end: a) Bank service charges for the month are estimated to be $43.50. b) The Prepaid insurance account balance represents 4 months' insurance that has not been used as of January 1. Adjust the account accordingly. c) A part-time employee (use YOUR ACTUAL NAME as the part-time employee's name in the comment line) did not submit his time sheet and was not paid $158.00, the regular wages for the pay period ending January 28. (Magazine Sales charges all salaries and wages to Salaries Staff Account # 5290.) Accrue the wages for the period (ignore CPP and EI). d) The value of the Store Supplies on hand was counted, and is $358.00. e) Depreciation of Store Equipment is $1,500.00 for the year (\$125.00 per month). f) The long-term bank loan arranged on December 31, 2023, with the Canadian Bank, is for a 5 year period at an interest rate at 9% (per annum effective monthly rate of 0.7207% ). Monthly payments of $998.26 are due at the end of each month. The January 31 , automatic bank payment of $998.26 (including interest of \$291.07) has not been made or recorded. g) A new vendor, Snowgone Services, submitted a January snow removal invoice (A5631) dated today, for $140.00 phus HST, net 30 days (Maintenance Expense). h) The inventory count found that 10 Puzzle magazines are missing. Adjust inventory. (Hint: Chapter 8, Exercise 8-20.) 4) Print All Journal Entries for the entries above. 5) Print a Trial Balance as at January 31. 6 - Back up your data before moving on. Your instructor may require you to: i) advance the date to February 1. j) reverse the appropriate accruals on February 1 . 7) If required, print All Journal Entries for the February reversing entries above.
Previous question

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The requested task involves making various month-end adjustments for Rama Magazines, such as recording bank service charges, adjusting prepaid insurance.

Accruing wages, counting store supplies and adjusting inventory, recording depreciation, and addressing a missed bank payment and a new vendor invoice. The instructions also mention printing all journal entries for these adjustments, generating a trial balance as of January 31, and potentially advancing the date to February 1 and printing journal entries for any reversing entries made then.

The task requires performing several adjustments for Rama Magazines at the end of January. These adjustments include recording bank service charges, adjusting the prepaid insurance account, accruing wages for an unpaid employee, counting store supplies, adjusting inventory for missing items, recording depreciation for store equipment, addressing a missed bank payment with interest, and processing a new vendor invoice for snow removal services. Additionally, the instructions state that all journal entries for these adjustments should be printed, followed by generating a trial balance as of January 31. There is a possibility of advancing the date to February 1 and printing journal entries for any reversing entries made at that time.

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join nodes in an activity diagram are used to bring concurrent or parallel flows together back into a single flow.true or false?

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Join nodes in an activity diagram are used to bring concurrent or parallel flows together back into a single flow. This statement is true.

Activity diagrams are a type of flowchart that is used to represent the movement and flow of control within a system or process.

The purpose of activity diagrams is to provide a visual representation of the steps, actions, and decisions that are involved in completing a particular task or activity.

Join nodes are used to bring concurrent or parallel flows together back into a single flow.

When the flow of control in an activity diagram splits into multiple parallel or concurrent flows, it is necessary to bring them back together at some point in the process.

The join node is used for this purpose.

It represents the point at which the various flows come back together and continue as a single flow.

This allows for the representation of complex processes that involve multiple concurrent actions or steps.

Thus, join nodes play a crucial role in activity diagrams as they ensure that all the different paths of the flow join back together to complete the process.

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green power company is considering buying a new machine that will last for 11 years. the machine cost 137,416 dollars today. maintenance expenses will be 39,511 dollars the first year, and will increase by 7,276 dollars every year afterward (e.g. maintenance at the end of year two is equal to 39,511 plus 7,276 dollars). the interest rate is 8% per year, compounded annually. what is the net present value (npv) of this machine? assume all maintenance expenses occur at the end of every year. (note: round your answer to two decimal places; do not include spaces or dollar signs.)

Answers

The net present value (NPV) of this machine is approximately -$196,594.72.

To calculate the NPV, we need to discount the cash flows (cost and maintenance expenses) to their present value and subtract the initial cost. Here's the revised calculation:

Present Value of the Machine's Cost:

The initial cost of the machine is $137,416.

[tex]PV(machine cost) = $137,416 / (1 + 0.08)^0\\= $137,416.[/tex]

Present Value of the Maintenance Expenses:

The maintenance expenses in the first year are $39,511, and they increase by $7,276 every subsequent year. We need to find the present value of these expenses over the 11-year period.

[tex]PV(maintenance \ expenses) = $39,511 / (1 + 0.08)^1 + ($39,511 + $7,276) / (1 + 0.08)^2 + ... + ($39,511 + $7,276 * 10) / (1 + 0.08)^{11}[/tex]

Calculating the sum of the series using the formula for the sum of a geometric series, we find:

[tex]PV(maintenance \ expenses) = $39,511 * (1 - (1 + 0.08)^{-11}) / (0.08) + $7,276 * ((1 - (1 + 0.08)^{-11}) / (0.08))\\= $334,010.72[/tex]

Net Present Value (NPV):

The NPV is calculated by subtracting the present value of the machine's cost from the present value of the maintenance expenses:

NPV = PV(machine cost) - PV(maintenance expenses)

NPV = $137,416 - $334,010.72

NPV = -$196,594.72.

Therefore, the net present value (NPV) of this machine is approximately -$196,594.72.

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When long-term debt investments are accounted for using the
amortized cost (AC) method?
Select one:
a. the book value is not adjusted to the investments’ fair value
at the end of the accounting so,

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When long-term debt investments are accounted for using the amortized cost (AC) method, the book value is not adjusted to the investments’ fair value at the end of the accounting period. In the amortized cost method, the investor accounts for the long-term debt investment at its initial cost.

Subsequently, it adjusts the book value for the amount of interest earned and the amortization of any premium or discount on the investment. This is done until the long-term debt investment is fully repaid. Therefore, the book value of the long-term debt investment will always be less than its fair value. This is because the fair value includes the changes in interest rates and market conditions that can affect the value of the investment. Thus, the amortized cost method is used when the long-term debt investment is intended to be held until maturity and the investor wants to avoid fluctuations in the fair value of the investment over time.

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Since companies have different numbers of shares outstanding, it is not useful to compare earnings per share ratios. True.

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The given statement "Since companies have different numbers of shares outstanding, it is not useful to compare earnings per share ratios." is False.

While it is true that companies may have different numbers of shares outstanding, comparing earnings per share (EPS) ratios can still be useful. EPS is calculated by dividing the net earnings of a company by the number of shares outstanding.

By comparing the EPS of different companies, investors and analysts can gain insights into the profitability and performance of the companies on a per-share basis, regardless of the number of shares outstanding. It allows for meaningful comparisons between companies and can be a useful metric in evaluating investment opportunities. The given statement is false.

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In your own words, explain the reasons why a researcher will want to use panel data. Also provide some real-life examples where panel data is used in South Africa.

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Panel data is valuable to researchers because it allows them to analyze changes over time and capture individual-specific variations.

It enables the study of dynamics, causal relationships, and the effects of policies or interventions.

Panel data is advantageous for several reasons. First, it provides more observations than cross-sectional data, which enhances statistical power. Second, it allows for the examination of individual-specific effects and their interaction with time-varying variables. Third, panel data permits the control of unobserved heterogeneity through fixed or random effects models. Fourth, it enables the investigation of causal relationships through techniques like difference-in-differences or instrumental variable estimation. Lastly, panel data facilitates the study of long-term trends, shocks, and persistence of phenomena.

In South Africa, panel data is utilized in various research fields. For instance, economists use panel data to analyze the effects of government policies on economic growth, income inequality, or labor market dynamics. Sociologists may employ panel data to examine educational attainment, health outcomes, or social mobility over time. Additionally, panel data is valuable in studying the impact of interventions or programs aimed at reducing poverty, improving education, or enhancing public health in South Africa. Overall, panel data is a versatile tool that allows researchers to uncover valuable insights by capturing temporal and individual-specific variations in a South African context.

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Sometimes consumers put off purchase decisions until the last minute. Think about the Last-Minute Shopper segment discussed in Consumer Insight 1–1: Have you ever still been shopping on Christmas Eve? Or have you ever waited until right before a vacation to book a flight and hotel? Well, you are not alone, and the consequences are significant. A recent study examined how people react to different advertising themes when they were either booking a last-minute summer vacation or planning for a winter-break vacation many months away. Two ad themes for an online travel service were created, with differing taglines, as follows:24
Prevention-focused ad: Don’t get stuck at home! Don’t get ripped off!
Promotion-focused ad: Give yourself a memorable vacation! Get the best deals!
After viewing the ads, consumers were asked how much they would pay for a ticket from the service. The results may surprise you because scaring people sometimes led to a willingness to pay more, but not always. Can you predict when the prevention-focused ad worked better and when the promotion-focused ad worked better? Here are the results:
Last-minute summer vacation (how much would you pay for a ticket?)
Prevention-focused ad: $672
Promotion-focused ad: $494
Future winter-break vacation (how much would you pay for a ticket?)
Prevention-focused ad: $415
Promotion-focused ad: $581
This may seem odd until you consider the fact that when consumers are shopping at the last minute (last-minute summer vacation in the example above), their goals are prevention-focused such as minimizing losses and mistakes. The prevention-focused ad worked best in this situation because it played into consumer fears about those losses. Alternatively, when consumers are shopping well in advance (future winter-break vacation in the example above), their goals are promotion-focused goals such as personal growth and aspirations. The promotion-focused ad worked best in this situation because it played into those consumer desires and aspirations.
According to Jennifer Aaker, an expert in this area: [It’s] about how people are motivated by hope and optimism on one hand and by fear on the other.
For holiday marketers, the results seem clear: Utilize positive (promotion-focused) messages early on and negative (prevention-focused) messages close to the holiday. Last-minute shoppers beware!
Answer these questions:
1. Why is it that fear-based appeals are not always the most effective?
2. Do you see any ethical issues associated with applying knowledge of decision timing to decisions about promotional themes? Explain.

Answers

Fear-based appeals are not always the most effective because consumer response depends on the timing of their purchase decision and their underlying goals and motivations.

Fear-based appeals may not always be the most effective because consumer response depends on various factors, including the timing of their purchase decision and their underlying goals and motivations. In the case of last-minute shoppers, who are focused on preventing losses or mistakes, fear-based appeals can be more persuasive as they tap into consumer concerns and prompt them to take action. However, for consumers planning well in advance, their goals may be more promotion-focused, centered around personal growth and aspirations. In such cases, positive and optimistic messages tend to resonate better.

Regarding the ethical implications, applying knowledge of decision timing to promotional themes raises concerns about manipulating consumer emotions. By strategically using fear-based appeals close to holidays or last-minute shopping periods, marketers may exploit consumer vulnerabilities and induce impulsive or unnecessary purchases. It is essential to consider the ethical implications of creating advertisements that leverage consumer fears or aspirations and ensure that the messaging aligns with the genuine value and benefits of the product or service being promoted. Transparency, honesty, and responsible marketing practices are crucial to maintaining trust and fostering long-term relationships with consumers.

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What risk does a borrower take with an adjustable-rate mortgage?

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With an adjustable-rate mortgage (ARM), borrowers take the risk of potential interest rate fluctuations. The monthly mortgage payments can increase or decrease based on market conditions. Borrowers must consider their ability to handle changing payments and future income prospects when opting for an ARM.

With an adjustable-rate mortgage (ARM), the borrower takes the risk of potential interest rate fluctuations. Unlike a fixed-rate mortgage, where the interest rate remains constant throughout the loan term, an ARM has an interest rate that adjusts periodically based on market conditions.

The specific terms of an ARM typically include an initial fixed-rate period, after which the interest rate is subject to change. The adjustment is usually based on a specified financial index, such as the U.S. Treasury rate or the London Interbank Offered Rate (LIBOR), plus a predetermined margin.

The risk for the borrower lies in the uncertainty of future interest rate movements. If interest rates rise, the borrower may experience an increase in their monthly mortgage payments, potentially making it more challenging to afford the loan. Conversely, if interest rates decrease, the borrower may benefit from lower payments.

The borrower's ability to manage fluctuations in interest rates, their financial stability, and their future income prospects are critical factors to consider when opting for an adjustable-rate mortgage.

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Chem Company uses a Sales Journal, a purchased journal, a cash receiptd, journal, a cash disbursements journal, and a general journal. The following transactions occurred during the month of july 2020:
July 1 Purchased merchandise on credit for $8,100 from Angler The., terms n/3e. 8 Sold merchandise on credit to B. Harren for $1,500, subject to a $30 sales discount if pald by the end of the mesth. Cost, $620. 10 The owner of Chem Company, Pat Johnson, invested $2,000 cash. 14 Purchased store supplies from Steck Company on credit for $240∗, teras 2/10+,n0/3. 17 Purchased merchandise imentory on eredit froe Marten Cowpany for 37,600, teras n/se. 24 Sold merchandise to H. Winger for. $630 cash. cost, $350. 28 Purchased menchandise inventory from tiadley" s for, $9,000 cash. 29 Poid Anglen Inc. $8,100 for the merchandise purchased on July 1.
Journalize the july transactions that should br recorded in the purchased journal assuming the periodic inventory system.

Answers

The purchased journal is used to record purchases of inventory, whether cash or credit transactions. The periodic inventory system is utilized by Chem Company to record purchases.

To record transactions that took place in the month of July 2020, the Chem Company used various books of original entry including sales, purchased journal, cash receipts, cash disbursement, and general journal.The purchased journal is used to record purchases of inventory, whether cash or credit transactions.

The periodic inventory system is utilized by Chem Company to record purchases. To record transactions that took place in the month of July 2020, the Chem Company used various books of original entry including sales, purchased journal, cash receipts, cash disbursement, and general journal. The Chem Company should record the following transactions that took place in July 2020 in the purchased journal:

July 1: The Chem Company purchased merchandise on credit from Angler Inc. for $8,100. The terms of payment are n/3e. Debit Purchases: $8,100Credit Accounts Payable: $8,100July 14:

The Chem Company purchased store supplies from Steck Company on credit for $240. The terms of payment are 2/10+, n/30.

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What is the appropriate fiscal and monetary policy mix? a. an increase in interest rates and no fiscal policy variation b. an increase in interest rates and a fiscal expansion c. an increase in interest rates and a fiscal contraction d. a cut in interest rates and a fiscal expansion e. a cut in interest rates and a fiscal contraction A cyclist is riding along at a speed of 12(m)/(s) when she decides to come to a stop. The cyclist applies the brakes, at a rate of -2.5(m)/(s^(2)) over the span of 5 seconds. What distance does she tr // #taskEnhancedRotation//---------------------------------- Code Starts Here -----------------------------------/* GOAL: This code enables xFig to rotate shapes to different degree angles. Currently,* xFig is locked to 90 and 180 degrees. How can you change xFig to accept more angles* options than the ones defined below? Eg. 0, 33, 45, and 310 degrees.* INFO: This project has infinite solutions, you can make the program accept any type of* value. The function 'fabs(act_rotangle)' is updating how much the object will rotate* and gives out the absolute value.* CHALLENGE: Verify if the angle is valid. If it is not, convert it to a valid angle.* For example, the user can enter a number bigger than 360. */F_line *l;F_compound *c1;if (fabs(act_rotnangle) == 90.0 || fabs(act_rotnangle) == 180.0)return 1;else if (!valid_rot_angle(c1))return 0;// GOAL: Once you are done, save the file and go to the next file.//------------------------------------ Code ends Here -----------------------------------return 1;}void rotate_compound(F_compound *c, int x, int y){F_line *l;F_arc *a;F_ellipse *e;F_spline *s;F_text *t;F_compound *c1;for (l = c->lines; l != NULL; l = l->next)rotate_line(l, x, y);for (a = c->arcs; a != NULL; a = a->next)rotate_arc(a, x, y);for (e = c->ellipses; e != NULL; e = e->next)rotate_ellipse(e, x, y);for (s = c->splines; s != NULL; s = s->next)rotate_spline(s, x, y);for (t = c->texts; t != NULL; t = t->next)rotate_text(t, x, y);for (c1 = c->compounds; c1 != NULL; c1 = c1->next)rotate_compound(c1, x, y);/** Make the bounding box exactly match the dimensions of the compound.*/compound_bound(c, &c->nwcorner.x, &c->nwcorner.y,&c->secorner.x, &c->secorner.y);}void rotate_point(F_point *p, int x, int y){/* rotate point p about coordinate (x, y) */double dx, dy;double cosa, sina, mag, theta;dx = p->x - x;dy = y - p->y;if (dx == 0 && dy == 0)return;theta = compute_angle(dx, dy);theta -= (double)(rotn_dirn * act_rotnangle * M_PI / 180.0);if (theta < 0.0)theta += M_2PI;else if (theta >= M_2PI - 0.001)theta -= M_2PI;mag = sqrt(dx * dx + dy * dy);cosa = mag * cos(theta);sina = mag * sin(theta);p->x = round(x + cosa);p->y = round(y - sina);}void rotate_xy(int *orig_x, int *orig_y, int x, int y){/* rotate coord (orig_x, orig_y) about coordinate (x, y) */double dx, dy;double cosa, sina, mag, theta;dx = *orig_x - x;dy = y - *orig_y;if (dx == 0 && dy == 0)return;theta = compute_angle(dx, dy);theta -= (double)(rotn_dirn * act_rotnangle * M_PI / 180.0);if (theta < 0.0)theta += M_2PI;else if (theta >= M_2PI - 0.001)theta -= M_2PI;mag = sqrt(dx * dx + dy * dy);cosa = mag * cos(theta);sina = mag * sin(theta);*orig_x = round(x + cosa);*orig_y = round(y - sina);}