In economics, the law of stable supply that Select one: or to As the price of an item decreases, the quantity supplied remains the same. or b. As the price of an item decreases, the quantity supplied increases or c. As the price of an item increases, the quantity supplied increases or d. As the price of an item increases, the quantity supplied decreases.

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Answer 1

The correct answer is (b) As the price of an item decreases, the quantity supplied increases. This relationship is known as the law of supply in economics. According to this law, there is a positive correlation between the price of a good or service and the quantity that suppliers are willing to produce and offer for sale in the market.

When the price of a product decreases, suppliers generally find it less profitable to produce and sell the item. As a result, they may reduce their production levels or choose to exit the market. Conversely, when the price of a product increases, suppliers are motivated to increase their production as it becomes more profitable to do so.

The law of supply is based on the fundamental economic principle of profit maximization. Suppliers aim to maximize their profits by supplying goods or services at higher prices and adjusting their production levels accordingly. However, it's important to note that the law of supply assumes other factors, such as input costs and technological constraints, remain constant.

In summary, the law of supply states that as the price of an item decreases, the quantity supplied increases, reflecting the positive relationship between price and the willingness of suppliers to offer their goods or services in the market.

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Related Questions

Generally speaking, what is the impact of a tariff on total surplus (consumer-producer)? a) It causes total surplus to rise. b) It has no effect on total surplus. c) Tariff has nothing to do with t

Answers

c) Tariff has nothing to do with total surplus. The impact of a tariff on total surplus depends on various factors, including the specific market conditions and elasticity of demand and supply.

In general, tariffs are taxes imposed on imported goods, which increase the price of those goods in the domestic market. This can lead to several effects on total surplus.

In some cases, tariffs can lead to a decrease in consumer surplus because consumers have to pay higher prices for imported goods. Additionally, tariffs can reduce the quantity of imports and limit consumer choices. On the other hand, tariffs can increase producer surplus by protecting domestic industries and allowing them to charge higher prices.

However, the overall impact on total surplus is not straightforward and depends on the specific circumstances. It is possible that the negative effects on consumer surplus outweigh the positive effects on producer surplus, resulting in a decrease in total surplus. Therefore, it is incorrect to say that tariffs always cause total surplus to rise or have no effect.

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Need help with this question please
A preferred stock pays a dividend of $3.00 every 3 months (quarterly). What is the required return (annually) if the stock is currently trading at $150? O 2% 20% 6% 12% 8% 4

Answers

To determine the required return for a preferred stock, we need to calculate the dividend yield based on the current stock price.

The required return on a preferred stock is the rate of return that an investor expects to receive in exchange for holding that stock. To calculate the required return, we can use the dividend yield, which is the annual dividend divided by the stock price.

In this case, the preferred stock pays a dividend of $3.00 every 3 months (quarterly). To calculate the annual dividend, we multiply the quarterly dividend by 4 (since there are 4 quarters in a year):

Annual Dividend = $3.00 * 4 = $12.00

The stock is currently trading at $150. Now we can calculate the dividend yield:

Dividend Yield = Annual Dividend / Stock Price = $12.00 / $150 = 0.08 or 8%

Therefore, the required return (annually) for this preferred stock is 8%.

In summary, to determine the required return for a preferred stock, we calculate the dividend yield based on the annual dividend and the current stock price. In this case, the preferred stock pays a quarterly dividend of $3.00 and is trading at $150. The dividend yield is found by dividing the annual dividend ($12.00) by the stock price ($150), resulting in a required return of 8%.

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Bankers have a reputation for conservatism in politics, dress, and business affairs. Is there an economic rationale for this conservatism? Explain.

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Banking and finance have always been associated with the conservative side of the political spectrum.

Banking is an industry based on stability and consistency, and conservatism is a political ideology based on preserving tradition and avoiding radical change. Therefore, bankers and financiers tend to support conservative political parties because they align with their values and interests.

In addition to their political beliefs, bankers are also conservative in their business affairs because of the nature of their industry. Banks are in the business of managing risk, and they do so by being cautious and conservative in their investments. Bankers tend to avoid risky ventures and speculative investments in favor of more stable, long-term investments that will generate consistent returns over time.

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give three exámenes of strategic technologies and how
they can influencia organizational performance.

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Strategic technologies are those technologies that can be used by organizations to achieve their strategic objectives. They are considered critical because they support a firm's decision-making processes, provide competitive advantage, and improve overall organizational performance.

Here are three examples of strategic technologies and how they can impact organizational performance:1. Artificial Intelligence (AI)AI is a strategic technology that can influence organizational performance by improving efficiency and productivity while reducing errors. AI can be used in a variety of ways, including in predictive analytics, process automation, and customer service. For example, AI-powered chatbots can provide quick and accurate responses to customer inquiries, which can improve customer satisfaction and retention rates.

Internet of Things (IoT)IoT is another strategic technology that can impact organizational performance. IoT refers to the interconnection of everyday objects to the internet, allowing them to send and receive data. By leveraging IoT, organizations can gather data on their operations, products, and customers in real-time. This data can be used to improve decision-making, optimize operations, and create new revenue streams. For example, IoT sensors can be used in warehouses to monitor inventory levels, enabling companies to optimize their supply chain and reduce costs.3. Block chain Block chain is a strategic technology that can influence organizational performance by improving trust, transparency, and security. Blockchain is a distributed ledger technology that enables secure, transparent, and tamper-proof transactions. By leveraging blockchain, organizations can improve their supply chain management, reduce fraud, and increase customer trust. For example, a food manufacturer can use blockchain to track the origin of their ingredients, enabling customers to verify the authenticity and quality of their products.

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fairlane company has an roa of 8.3 percent and a payout ratio of 35 percent. what is its internal growth rate?

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The internal growth rate of Fairlane Company is 5.395%. Hence, option (C) is correct.

Given, Return on Assets (ROA) = 8.3 %Payout ratio = 35 %To find:

Formula:  Internal Growth rate = (Return on Assets × Retention ratio)Or Internal Growth rate = ROA × (1 – Payout ratio)

Calculation: From the above formulas, Internal Growth rate = 8.3 % × (1 – 35 %) = 8.3 % × 0.65 = 5.395 %

Therefore, the internal growth rate of Fairlane Company is 5.395%. Hence, option (C) is correct.

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JOURNAL ENTRIES: Company X currently has a balance in Allowance for Bad Debts of $5,000. Company X's aging schedule indicates that the balance in the Allowance for Bad Debts should be $9,000. What is the adjusting journal entry to increase the balance in the Allowance for Bad Debts to $9,000?
A. Dr. Bad Debts Expense 9,000; Cr. Allowance for Bad Debts 9,000
B. Dr. Allowance for Bad Debts 9,000; Cr. Bad Debts Expense 9,000
C. Dr. Allowance for Bad Debts 4,000 Cr. Bad Debts Expense 4000
D. Dr. Bad Debts Expense 4,000; Cr. Allowance for Bad Debts 4,000
E. None of the above

Answers

The adjusting journal entry to increase the balance in the Allowance for Bad Debts to $9,000 is option D: Dr. Bad Debts Expense $4,000; Cr. Allowance for Bad Debts $4,000.

How can the balance in the Allowance for Bad Debts be adjusted to $9,000?

The adjusting journal entry to increase the balance in the Allowance for Bad Debts to $9,000 is by debiting Bad Debts Expense for $4,000 and crediting Allowance for Bad Debts for the same amount. Company X currently has a balance of $5,000 in the Allowance for Bad Debts, but the aging schedule indicates it should be $9,000. Therefore, an adjustment is required to align the balance with the expected amount.

By recognizing an expense of $4,000 through the debit to Bad Debts Expense, the company accounts for potential bad debts. Simultaneously, the credit to Allowance for Bad Debts increases the balance in the allowance account. This adjusting entry ensures that the balance reflects the expected amount based on the aging schedule, allowing for more accurate reporting of potential losses from bad debts.

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Ms.Taay is a franchise chain selling Ha Long bubble yogurt, a local specialty which is made of yogurt and warm pearls with coconut milk. Currently, their menu has 20 different flavors of yogurt, whose ingredients are plain yogurt and flavored syrup.
As this chain is opening many new stores every quarter, the chain’s managers try to find a way to optimize their production, aiming for a customer service level of 95%.
Assuming that weekly demand at a specific store for each flavor is independent and normally distributed with N(100, 144), while the replenishment lead time from the chain’s factory is one week.
How much safety stock will this store have to hold if the yogurt is flavored at the chain’s factory and held in inventory at the store as individual yogurt flavors?
How much safety stock will this store have to hold if the store holds plain yogurt and flavored syrups (supplied by the chain’s factory) separately and only mixes flavors on demand?
Which option may conclude a less quantity of safety stock? What is the gap of safety stock between these two alternatives?

Answers

The demand is independent and follows a normal distribution with N(100, 144).Hence, the standard deviation (σ) is the square root of the variance (144), i.e., 12.The maximum demand for a week can be 100 + 12 × 1.65 = 120.8.Let's calculate the safety stock when the yogurt is flavored at the chain’s factory and held in inventory at the store as individual yogurt flavors.

The service level (SL) is 95%, which means the probability of not stocking out in a week is 0.95.The Z-value corresponding to 0.95 probability is 1.65.The average weekly demand for one flavor is 100.The standard deviation is 12.Let's calculate the safety stock: Safety stock = Z-value × σ= 1.65 × 12= 19.8Therefore, the store will have to hold a safety stock of about 20 units. Let's calculate the safety stock when the store holds plain yogurt and flavored syrups (supplied by the chain’s factory) separately and only mixes flavors on demand.

The service level is 95%.The average weekly demand for one flavor is 100.The standard deviation is 12.Let's calculate the safety stock: Safety stock = Z-value × σ= 1.65 × 12= 19.8Therefore, the store will have to hold a safety stock of about 20 units. The option that concludes a less quantity of safety stock is holding plain yogurt and flavored syrups separately and only mixes flavors on demand. The gap of safety stock between these two alternatives is zero. The quantity of safety stock in both cases is about 20 units.

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the level of significance can be viewed as the amount of risk that an analyst will accept when making a decision.
t
f

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The statement is False, the level of significance cannot be viewed as the amount of risk that an analyst will accept when making a decision.

The level of significance is used in hypothesis testing and is often set at a value of 0.05 or 0.01. It represents the probability of rejecting the null hypothesis when it is actually true. A lower level of significance means that the analyst is less likely to make a Type I error (rejecting the null hypothesis when it is true), but it also means that they are more likely to make a Type II error (failing to reject the null hypothesis when it is false). Therefore, the level of significance is not directly related to the amount of risk that an analyst is willing to accept when making a decision. Rather, it is a statistical parameter that is used to control the trade-off between Type I and Type II errors. In summary, the statement "the level of significance can be viewed as the amount of risk that an analyst will accept when making a decision" is false.

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Suppose we know that in our economy, C = $20 + .8Y,
with everything expressed in trillions of dollars.
a) How did Keynes interpret

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Keynes interpreted the equation C = $20 + 0.8Y as the consumption function in his theory of income and employment.

According to Keynesian economics, this equation represents the relationship between consumption (C) and income (Y) in an economy. Keynes believed that consumption is a function of income, meaning that as income increases, consumption also increases but at a smaller rate. The equation shows that consumption is influenced by autonomous consumption spending represented by the constant term $20, which is independent of income. The term 0.8Y represents the marginal propensity to consume (MPC), indicating that for every additional unit of income, 0.8 of it will be spent on consumption.

Keynes argued that consumption is a key driver of aggregate demand in an economy. When individuals spend a significant portion of their income on consumption, it stimulates economic activity and promotes employment. By analyzing the consumption function, Keynes aimed to understand the relationship between changes in income and changes in consumption, which is crucial for determining the overall level of economic activity and employment in an economy.

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corporate sustainability, corporate governance and social
responsibility principles in the decision-making process(CLO
3)

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Corporate sustainability, corporate governance, and social responsibility principles play a crucial role in the decision-making process of businesses.

Sustainability refers to the practice of meeting the needs of the present generation without compromising the ability of future generations to meet their own needs. It is a holistic approach that considers environmental, social, and economic factors in decision-making processes. Sustainable practices aim to minimize negative impacts on the environment, promote social equity and justice, and ensure long-term economic viability.

Environmental sustainability focuses on preserving natural resources, reducing pollution, and protecting ecosystems. It involves embracing renewable energy sources, promoting energy efficiency, and adopting sustainable agricultural and manufacturing practices. Social sustainability emphasizes social equity, inclusivity, and community well-being. It involves promoting fair labor practices, supporting human rights, fostering social cohesion, and addressing issues such as poverty, inequality, and access to education and healthcare.

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"Monetary Policy and a Positive Supply Shock: Our monetary model consists of three equations, the Interest-Savings equation, the (Short Run) Phillips Curve, and an Interest Rate Rule, y = A - ar π = πᵉ +k(y – y*) r=r* +Φᵧ (y – y*) + Φπ (π – πᵀ) where y = output, y* = 'efficient' output, r = real interest rate, p* = real interest rate associated with ’efficient' output, π = inflation, πᵉ = expected inflation, πᵀ = target inflation. (b) In short-run: Is y > yₒ* or y < yₒ* Is y > y*n or y < Y*ₙ? (You can use equations or graphs.) (c) In long-run: Is y > yₒ* or y < yₒ* Is y > y*ₙ or y < y*ₙ? (You can use equations or graphs.) (d) In short-run: Is π > πᵉ or π < πᵉ ? Is π > π or π < πᵀ? (You can use equations or graphs.) (e) In long-run: Is π > πᵉ or π < πᵉ? Is π > πᵀ or π < πᵀ? (You can use equations or graphs."

Answers

To determine the answers to the given questions, let's analyze the equations and their implications.

(b) In the short run:

From the Phillips Curve equation, y > yₒ* or y < yₒ* depends on the sign of the coefficient 'a'. If 'a' is positive, then y < yₒ*; if 'a' is negative, then y > yₒ*.

Similarly, from the Interest Rate Rule equation, y > yn or y < yn depends on the sign of the coefficient Φᵧ. If Φᵧ is positive, then y < yn; if Φᵧ is negative, then y > yn.

(c) In the long run:

In the long run, the Phillips Curve becomes vertical at the natural rate of output, yₙ. Therefore, y will tend towards yₙ in the long run. So, y > yₒ* or y < yₒ* depends on the initial conditions and adjustments over time.

(d) In the short run:

From the Interest Rate Rule equation, π > πᵉ or π < πᵉ depends on the sign of the coefficient Φπ. If Φπ is positive, then π > πᵉ; if Φπ is negative, then π < πᵉ.

From the equation π = πᵉ + k(y – y*), π > π or π < πᵀ depends on the value of k and the deviation of y from y*.

(e) In the long run:

In the long run, the expected inflation, πᵉ, will adjust to the target inflation, πᵀ, and there will be no systematic deviation between π and πᵀ.

Note: Graphical analysis of these equations would provide a more visual representation and interpretation of the relationships between the variables and their equilibrium states.

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Which of the following is a characteristic of the JIT philosophy?
Multiple Choice
Large lot sizes to maximize efficiencies.
Queues of WIP inventory are a necessary investment.
Suppliers become partners.
Inventories become a valued asset.
Few, large deliveries of orders from suppliers.

Answers

The characteristic of the JIT (Just-In-Time) philosophy that is represented among the given options is that D) suppliers become partners.

The Just-in-Time (JIT) philosophy emphasizes the importance of minimizing waste, reducing lead times, and promoting a smooth production flow. In this system, D) suppliers are viewed as essential partners in the process, collaborating closely with the manufacturer to ensure timely delivery of materials and effective communication. This partnership allows for better coordination and synchronization, resulting in improved efficiency and reduced costs in the overall production process.

JIT is a lean manufacturing approach that focuses on producing and delivering products in the right quantity, at the right time, and in the right place, without carrying excess inventory. This requires close collaboration with suppliers to ensure timely delivery of materials and components.

Suppliers in a JIT system are not just seen as vendors but as partners who share responsibility for maintaining a seamless flow of materials. JIT emphasizes the importance of high-quality, reliable, and consistent supply from the suppliers to meet the customer's needs. Thus, suppliers play a critical role in the success of JIT implementation by providing the necessary raw materials and components on time to support production.

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Drew is the president of Lotus Corporation (Lotus). Drew decided to have Lotus manufacture large, non-fuel-efficient sport
utility vehicles (SUVs) just before gasoline prices rose dramatically. As a result, Lotus lost a significant percentage of its
automotive market share, Lotus shareholders want to sue Drew for his bad decision that cost them millions of dollars. However,
Drew made a reasonable investigation before making this decision, he had a rational basis for it, and he had no conflicts of
interest regarding this decision. Which of the following is the most likely outcome if the shareholders file a lawsuit against
Drew?
A- Drew will not be held liable, since corporate presidents have absolute immunity from liability for decisions they made in the ordinary course of
business
B- Drew will be held liable under the vicarious liability rule
C Drew will not be held liable under the business judgment rule
D- Drew will be held liable under the ultra vires rule.
Cyrano hired Solomon to act as his sales agent in his jewelry store. Cyrano authorized Solomon actual express authority to sell
items of jewelry up to $1,000 without checking with him: however. If the price was over $1,000, Solomon was to check with
Cyrano before making a sale. One day, a customer wanted to buy a necklace for $1,500 and Solomon sold it to her without first
checking with Cyrano. When Cyrano learned of this, he was upset because the price was a mistake it; should have been marked
at $3,000. Cyrano wants the customer to return the necklace. Is the customer required to return the necklace in this case?
a) No because Solomon did have apparent authority to sell that item
b) No, because Solomon did have implied authority to sell that item
c)Yes, because Solomon did not have express authority to sell that item
d) Yes, because Solomon did not have Implied authority to sell that item

Answers

For the first scenario with Lotus Corporation and Drew, the most likely outcome if shareholders file a lawsuit against Drew would be:

C- Drew will not be held liable under the business judgment rule.

The business judgment rule protects corporate officers and directors from personal liability for their decisions as long as they act in good faith, exercise reasonable care, and make decisions in the best interest of the company. In this case, Drew made a reasonable investigation, had a rational basis for his decision, and had no conflicts of interest. Therefore, he would likely be protected under the business judgment rule, and the shareholders' lawsuit would not hold him personally liable.

For the second scenario with Cyrano and Solomon, the customer would be required to return the necklace in this case because:

c) Yes, because Solomon did not have express authority to sell that item.

According to the given information, Cyrano only authorized Solomon to sell items of jewelry up to $1,000 without checking with him. Since the customer wanted to buy a necklace for $1,500, Solomon exceeded his express authority by not checking with Cyrano before making the sale. Therefore, the customer is required to return the necklace as the sale was made without the necessary authorization.

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21 2.00 points E11-16 Preparing a statement of Retained Earnings and Partial Balance sheet and Evaluating Dividend Policy Cro 11-3, 11-5] The following account balances were selected from the records of beverage maker Blake Corporation at December 31 after all adjusting entries were completed: common stock (par $15; authorized 100,ooo shares, issued 29,ooo shares, $435, ooo of which 1,100 shares are held as treasury stock Additional paid-in capital common stock 174,000 Dividends 22,000 Retained earnings, beginning of year 70,000 Treasury stock at cost (1100 shares) 22,000 Net income for the year was $39000 Required 1-a. Prepare the statement of retained earnings for the year ended December 31 BLAKE CORPORATION Statement of Retained Earnings For the Year Ended December 31 Retained Earnings, January 1 Retained Earnings, December 31

Answers

BLAKE CORPORATION Statement of Retained Earnings For the Year Ended December 31 Retained Earnings, January 1 $70,000 Add: Net Income for the year $39,000 Total $109,000 Less: Dividends paid $22,000 Retained Earnings, December 31 $87,000

Required 1-b. Prepare the partial balance sheet for Blake Corporation at December 31.
BLAKE CORPORATION Partial Balance Sheet as of December 31 Assets Liabilities and Stockholders' Equity Current Assets: Current Liabilities: Cash $15,000 Accounts Payable $25,000 Accounts Receivable $20,000 Salaries Payable $5,000 Inventories $30,000 Total Current Liabilities $30,000 Prepaid Expenses $5,000 Long-term Liabilities: Total Current Assets $70,000 Notes Payable $40,000 Property, Plant, and Equipment: Stockholders' Equity: Land $30,000 Common Stock $435,000 Buildings and Equipment $400,000 Additional Paid-in Capital $174,000 Less: Accumulated Depreciation $(120,000) Retained Earnings $87,000 Treasury Stock $(22,000) Total Stockholders' Equity $674,000 Total Assets $380,000 Total Liabilities and Stockholders' Equity $704,000

Required 2. Evaluate Blake Corporation's dividend policy based on the information provided.
Blake Corporation paid $22,000 in dividends during the year, which is less than the net income of $39,000. This indicates that the company is retaining a portion of its earnings to reinvest in the business and finance future growth. The statement of retained earnings shows an increase in retained earnings from $70,000 to $87,000, which further supports this conclusion. Additionally, the company has authorized but not yet issued 71,000 shares of common stock, which provides flexibility for future financing options. Overall, Blake Corporation's dividend policy seems to prioritize reinvestment in the business and potential future growth over immediate payouts to shareholders.

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Example- Benefits Admin - 55000 - 75000 Bonus Eligible - 6% Annual based on performance Benefits Eligibility for 100% Company paid Benefits after 4 months of service RRSP Company Match up to 3% after 7 months of service Tuition Reimbursement 2500 Annual or a lifetime max of 25000 for courses related to your work field 3 weeks of vacation and after 1 year of service 4 weeks of vacation Working Hours -37.7 hours a week with hour paid lunch break. We offer flex work hours, start time between between 7.30 am to 10 am and complete 7.5 hours of work each day. DO NOT USE THE ABOVE EXAMPLE you can use it for reference Example- Benefits Admin - 55000 - 75000 Bonus Eligible - 6% Annual based on performance Benefits Eligibility for 100% Company paid Benefits after 4 months of service RRSP Company Match up to 3% after 7 months of service Tuition Reimbursement 2500 Annual or a lifetime max of 25000 for courses related to your work field 3 weeks of vacation and after 1 year of service 4 weeks of vacation Working Hours -37.7 hours a week with hour paid lunch break. We offer flex work hours, start time between between 7.30 am to 10 am and complete 7.5 hours of work each day. DO NOT USE THE ABOVE EXAMPLE you can use it for reference

Answers

The Benefits Admin position offers a competitive salary range, eligibility for company-paid benefits, RRSP company match, tuition reimbursement, generous vacation time, and flexible work hours. Based on the information provided, the Benefits Admin position offers a competitive salary range of $55,000 to $75,000  per year .


Another benefit offered by the company is the eligibility for 100% company-paid benefits after 4 months of service. This is a great benefit as it means that employees do not have to worry about the cost of their medical, dental, and vision insurance. Employees are also eligible for RRSP company match up to 3% after 7 months of service. This is a great way for employees to start saving for their retirement and the fact that the company is willing to match their contribution is a great incentive.

The company also offers tuition reimbursement of $2,500 per year or a lifetime max of $25,000 for courses related to their work field. This is a great opportunity for employees to continue their education and improve their skills. In terms of vacation, employees receive 3 weeks of vacation and after 1 year of service, they receive 4 weeks of vacation. This is a generous amount of vacation time and allows employees to take the time they need to rest and recharge. Finally, the company offers flex work hours, with a start time between 7.30 am to 10 am and a requirement to complete 7.5 hours of work each day. This allows employees to have some flexibility in their schedule and can help with work-life balance.

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A company uses transportation mode analysis to decide whether to choose slower shipping or faster shipping from Portland to Los Angeles using ship connectors. The value of the connectors is $1,200. The holding cost is 10% per year. And the company knows one carrier is 1 day faster but $15 more expensive. Please help the company to make the decision.: whether to choose slower shipping or faster shipping.
A toy company produces toys using JIT (Just-in-Time). The daily demand is 60 units. Production lead time is 5 days. The safety stock is 200 units. The container size is 50 units. How many kanbans needed?

Answers

As a result, the number of kanbans required is 500 units / 50 units per kanban = 10 kanbans.

Transportation mode analysis is a method to analyze various methods of transportation and choose the most efficient and cost-effective method of transportation. Based on the given data, the company must choose between slower and faster shipping from Portland to Los Angeles using ship connectors.

The value of the connectors is $1,200 and the holding cost is 10% per year. One carrier is 1 day faster but $15 more expensive. Let's determine which shipping method is better for the company.

The holding cost is 10% per year and the value of the connectors is $1,200.

The annual holding cost is 10% * $1,200 = $120.

Faster Shipping Cost = $15 + (1 day * $50 per day) = $65

Slower Shipping Cost = $50 per day = $50

The cost savings of the slower shipping method is $65 - $50 = $15, so the slower shipping method is preferable.

Just-in-time (JIT) is an inventory management system in which raw materials and components are delivered to the production line just in time for assembly.

In order to determine the number of kanbans required, we must first determine the production rate. The daily demand is 60 units, so the production rate is 60 units per day.

The production lead time is 5 days. We will need enough inventory to cover the lead time and safety stock. The safety stock is 200 units, which is 3.33 days of demand. As a result, we'll need 5 + 3.33 = 8.33 days' worth of inventory. 8.33 days of inventory would be 60 units per day * 8.33 days = 500 units.

As a result, the number of kanbans required is 500 units / 50 units per kanban = 10 kanbans.

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Galaxy Jewelers sells diamond necklaces for $500.00 less 6 %. Starlight Jewelers offers the same necklace for $527.00 less 39%, 18%. What additional rate of discount must Galaxy offer to meet the competitor's price? The additional rate of discount that Galaxy Jewelers must offer to meet the competitor's price is % (Round to two decimal places as needed. Round all intermediate values to six decimal places as needed.)

Answers

The given problem is related to the topic of discount rates. It is stated that Galaxy Jewelers sells diamond necklaces for $500.00 less 6 %. Starlight Jewelers offer the same necklace for $527.00 less 39%, 18%. We need to determine the additional rate of discount that Galaxy must offer to meet the competitor’s price. Now, we will find the selling price of the necklaces of both stores using the given information.

Let's first determine the selling price of diamond necklace at Galaxy Jewelers: Cost of necklace = $500.00Percentage discount = 6%Therefore, Amount of discount = 6% of 500.00 = $30.00Selling price of necklace = Cost price - Discount price Selling price of necklace = 500.00 - 30.00 = $470.00Now, we will determine the selling price of the necklace at Starlight Jewelers: Selling price of necklace = $527.00Percentage discount offered by Starlight Jewelers = 39% + 18% = 57%Amount of discount = 57% of 527.00 = $300.39Selling price of necklace = Cost price - Discount price Selling price of necklace = 527.00 - 300.39 = $226.61Therefore, to match the competitor's price, the selling price of Galaxy's necklace should be $226.61. We have already determined the selling price of Galaxy’s necklace to be $470.00. Therefore, the additional discount required would be: Additional Discount Required = (Original Selling Price - Competitor’s Selling Price) / Original Selling Price * 100%Additional Discount Required = ($470.00 - $226.61) / $470.00 * 100%Additional Discount Required = 51.97%The additional rate of discount that Galaxy Jewelers must offer to meet the competitor's price is 51.97%. (Round to two decimal places as needed. Round all intermediate values to six decimal places as needed.)

Note: Therefore, the additional discount required for Galaxy is 51.97%. That is if Galaxy offers an additional discount of 51.97% on the original price of the necklace then the selling price would be $226.61, and it would match the price of Starlight Jewelers.

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Indicative planning means that a) no compulsory targets are prepared for enterprises b) planners project probable trends in the economy c) compliance with the plan is purely voluntary d) all of the above. e) none of the above.

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Planners project probable trends in the economy. The correct option is B. The planners use indicative planning as a means of guiding economic growth and development.

What is indicative planning?

Indicative planning is a form of economic planning that is used to guide economic growth and development. It is also known as directional planning. In this type of planning, the government outlines broad objectives and targets for the economy and leaves it to the market forces to make decisions on how to meet these goals.

Indicative planning was first used in France in the 1960s and has been adopted by many other countries. It differs from the traditional command planning that was used in communist countries, where the government had total control over the economy and set production targets for enterprises.

Indicative planning allows enterprises to make their production decisions based on market signals, but within the framework of government targets and objectives. It is a more flexible approach to economic planning that takes into account the uncertainties and complexities of a market economy.

In indicative planning, planners project probable trends in the economy. They use economic models and forecasts to predict the future growth and development of the economy. These projections are used to set targets and objectives for the economy, which are communicated to enterprises. Compliance with the plan is voluntary, but enterprises are encouraged to follow the plan as it provides guidance on the direction of the economy. The plan is reviewed and adjusted periodically to take into account changes in the economy and new developments. The government provides incentives and subsidies to enterprises that meet the targets set out in the plan, which encourages compliance. Therefore, the correct option is B. planners project probable trends in the economy.

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Instruction: Answer ALL questions. Section A (25 marks) 1. From the following information, calculate the missing figures in each of the options below. No. Assets (RM) Liabilities (RM) Capital (RM) 67 891 a. 12 345 b. 98 765 54 321 C. 86 420 25 791 d. 91 823 20 394 c. 56 473 89 345 f. 34 678 78 569 87 564 34 567 86 531 34 500 67.967 34 567 76 985 23 789 k. 23 633 93 800 L 22 632 43 160 m. 92 819 76 543 n. 90 900 20 300 0. 79 345 12 123 (1 mark x 15 = 15 marks) 2. For each of the following business items identify the assets, liabilities and owner's equity. Furniture & Fittings Bank Capital Drawings Accounts payable Closing inventory Mortgage Overdraft Accounts receivable Cash (1 mark x 10 = 10 marks) h. i. į

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The assets, liabilities, and owner's equity of the given business items are as follows: Furniture & Fittings Assets Accounts payable Liabilities Bank Cash Accounts receivable Closing inventory Overdraft Mortgage Capital Drawings.

From the given information, the missing figures are calculated as follows:a. 12 345Assets (RM) = 67 891 Liabilities (RM) = 45 546 Capital (RM) = 22 345b. 98 765Assets (RM) = 67 891 Liabilities (RM) = 10 222 Capital (RM) = 54 652c. 56 473Assets (RM) = 87 564 Liabilities (RM) = 34 567 Capital (RM) = 45 530d. 91 823Assets (RM) = 34 567 Liabilities (RM) = 25 791 Capital (RM) = 31 465f. 34 678Assets (RM) = 34 500 Liabilities (RM) = 20 394 Capital (RM) = 13 784k. 23 633Assets (RM) = 23 789 Liabilities (RM) = 67 967 Capital (RM) = 56 632L. 22 632Assets (RM) = 43 160 Liabilities (RM) = 34 567 Capital (RM) = 56 225m. 92 819Assets (RM) = 76 543 Liabilities (RM) = 34 567 Capital (RM) = 58 709n. 90 900Assets (RM) = 76 543 Liabilities (RM) = 20 300 Capital (RM) = 67 1570. 79 345Assets (RM) = 123 000 Liabilities (RM) = 43 654 Capital (RM) = 99 3462. The assets, liabilities, and owner's equity of the given business items are as follows: Furniture & Fittings Assets Accounts payable Liabilities Bank Cash Accounts receivable Closing inventory Overdraft Mortgage Capital Drawings.

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-Create a tour package to a destination of your choice -Consider; Airport Shuttle Flights Accommodation Activities Attractions/museums/cultural exhibits Tours Meals Free time -Provide cost for each it

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This tour package to Bali, Indonesia offers a diverse range of activities, cultural experiences, and relaxation. With airport transfers, flights, comfortable accommodation, guided tours, entrance fees.

Tour Package to Bali, Indonesia:

Destination: Bali, Indonesia

Duration: 7 Days/6 Nights

Airport Shuttle:

Arrival and departure airport transfers included.

Flights:

Roundtrip economy class flights from major international airports (e.g., Los Angeles) to Ngurah Rai International Airport in Bali.

Estimated cost: $800 per person.

Accommodation:

6 nights in a 4-star hotel/resort in Bali.

Estimated cost: $100 per night (based on double occupancy), totaling $600 per person.

Activities:

Full-Day Ubud Cultural Tour:

Visit Ubud Monkey Forest, Tegalalang Rice Terrace, and Tirta Empul Temple.

Explore Ubud Market and indulge in local cuisine.

Estimated cost: $50 per person.

Sunset Dinner Cruise:

Enjoy a romantic cruise along the coastline of Bali.

Savor a buffet dinner with live music and entertainment.

Estimated cost: $60 per person.

Water Sports Adventure:

Experience thrilling water sports activities like parasailing, jet skiing, and banana boat rides.

Estimated cost: $40 per person.

Attractions/Museums/Cultural Exhibits:

Entrance fees included for the following:

Tanah Lot Temple: $5 per person.

Uluwatu Temple: $7 per person.

Bali Museum: $3 per person.

Tegalalang Rice Terrace: Free.

Tours:

Guided tours included for the Ubud Cultural Tour and Water Sports Adventure.

Meals:

Daily breakfast included at the hotel.

Estimated cost for other meals: $15 per person per day, totaling $105.

Free Time:

Explore the beautiful beaches, indulge in shopping, or relax and enjoy the hotel facilities during free time.

Total Estimated Cost per Person: $1,617

This tour package to Bali, Indonesia offers a diverse range of activities, cultural experiences, and relaxation. With airport transfers, flights, comfortable accommodation, guided tours, entrance fees, and some meals included, travelers can explore Bali's attractions and immerse themselves in its rich culture. The estimated cost for this 7-day package is $1,617 per person, providing a comprehensive and enjoyable experience in Bali.

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Bea has the following capital gains and losses this year. 57 24 LTCG $15,000 STCG $15,000 CO 13 LTCL $10,000 STCL $ 5,000 17 50 What are Bea's net long-term and short-term gains?

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Net Long-term gains are $44,000.Net Short-term gains are $19,000.

The following are Bea's capital gains and losses this year:57 24 LTCG $15,000 STCG $15,000 CO 13 LTCL $10,000 STCL $5,000 17 50.

We'll compute for the net long-term and short-term gains of Bea.

How to calculate for Bea's net long-term and short-term gains

There are a few ways to calculate a taxpayer's net capital gains.

The most straightforward way is to subtract capital losses from capital gains.

Gains and losses should be split into long-term and short-term categories before subtracting losses from gains because long-term gains are taxed at lower rates than short-term gains.

The short-term gain or loss is calculated by subtracting the total short-term losses from the total short-term gains.

Long-term gain: LTCG = 57, and LTC losses = 13. Net Long-term gains = 57 - 13 = 44. Net Long-term gains are $44,000.Short-term gain: STCG = 24, and ST losses = 5. Net Short-term gains = 24 - 5 = 19.

Net Short-term gains are $19,000.

Answer: Net Long-term gains are $44,000.Net Short-term gains are $19,000.

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Economics indicators dashboard
Q: For what period should I track them? A: It depends on the indicator and the trends that you hope to see. Some of the major indicators are easily available for many quarters, or years. Some of the h

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When it comes to the economics indicators dashboard, the period for which you need to track them depends on the indicator and the trends that you hope to see. Some of the major indicators are easily available for many quarters, or years.

Some of the indicators that can be tracked through dashboards include GDP growth rate, unemployment rate, consumer price index, and industrial production, among others. If you are tracking GDP growth rate, for instance, you may want to track it over a period of several years to gain insight into long-term trends. On the other hand, if you are tracking the consumer price index, you may want to track it over a shorter period, such as several months, to identify short-term trends. In general, tracking economic indicators over a longer period provides a better understanding of the overall trends and performance of an economy, while tracking them over a shorter period can be useful for identifying more immediate changes and patterns. The length of the period you choose to track economics indicators is largely dependent on the information you are trying to obtain.

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In the past 12 months, the local supplier experienced a dmeand variance of 2302 units and produced an order variace of 4680 units Compute the bullwhip measure for this suppler

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The Bullwhip Effect is a phenomenon that happens when small changes in consumer demand lead to more significant and more volatile changes in demand as orders are transmitted through the supply chain.

The Bullwhip Effect can lead to stockouts, overstocking, and lost sales. It is difficult to measure, but some methods can help approximate its effect.The bullwhip measure can be calculated as the ratio of the variance in demand over the variance in orders. The formula to calculate the Bullwhip Measure is:Bullwhip Measure = Variance of Demand / Variance of OrdersThe local supplier experienced a demand variance of 2,302 units and a production variance of 4,680 units over the past 12 months. Therefore, the bullwhip measure for this supplier is calculated as follows:Bullwhip Measure = Variance of Demand / Variance of OrdersBullwhip Measure = 2,302 / 4,680Bullwhip Measure = 0.492In conclusion, the bullwhip measure for this supplier is 0.492. This value is an indication of the level of Bullwhip Effect in the supply chain. The higher the Bullwhip Measure, the greater the Bullwhip Effect and the higher the inventory cost and level of inefficiency in the supply chain.

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Which of the following(s) is (are) true?
(i) A monetary policy target is a variable that the Fed can affect directly, which then affects one or more of the Fed's policy goals.
(ii) Rising nominal GDP will increase the demand for money and short-term real interest rates.
(iii) Buying a house during a recession may be a good idea if your job seems secure because the Federal Reserve often lowers interest rates during a recession. (
(iv) The Fed can not directly purchase corporate stocks from the market.
(v) The Fed can directly lower the inflation rate.
A. (i) and (ii) only
B. (i), (iii) and (iv) only.
C. (ii), (iv), and (v) only
D. (i) and (iii) only
E. (i), (ii), (iii), (iv), and (v)

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A monetary policy target is a variable that the Fed can affect directly, which then affects one or more of the Fed's policy goals. Rising nominal GDP will increase the demand for money and short-term real interest rates.

Monetary policy targets are the specific variables that central banks like the Federal Reserve can influence directly through their policy actions. By adjusting interest rates or implementing other measures, the Fed can impact these targets, which in turn affect its policy goals such as price stability and maximum employment. This reflects the relationship between the Fed's actions and their impact on the economy.

Rising nominal GDP, which represents the total value of goods and services produced in an economy at current prices, tends to increase the demand for money. As the economy grows, people and businesses require more money for transactions. This increased demand for money can lead to higher short-term real interest rates, which are adjusted for inflation. It is an example of how changes in economic conditions can influence the demand for money and interest rates.

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Cassette tapes are still used in some handheld recording devices and in less expensive portable musical instrument recording devices. The desired speed of a cassette tape is 1.875 inches per second. Any deviation from this value causes a change in pitch and tempo and thus poor sound quality. Suppose that adjusting the tape speed under warranty when a customer complains and returns a device costs a manufacturer $30. Based on past information, the company knows the average customer will return a device if the tape speed is off the target by at least 0.150 inch per second; in other words, when the speed is either 2.025 or 1.725. Suppose that a technician tests the tape speed prior to packaging and can adjust the speed to the target of 1.875 at a cost of $6. What should the economic specification limits be? The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.
1. In the Taguchi loss function, what is the constant that translates the deviation into dollars? Round your answer to the nearest cent.
$_______

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The constant in the Taguchi loss function that translates the deviation into dollars is $200.

This is calculated by dividing the cost of adjusting the speed under warranty by the average number of units returned due to speed deviation (i.e. $30 ÷ 0.15). Therefore, any deviation from the target speed of 1.875 inches per second will result in a loss of $200 per unit. The economic specification limits should be set in such a way that the probability of a unit falling outside the limits is minimized, while keeping the cost of adjusting the speed during manufacturing within reasonable limits.

This can be determined by analyzing the data in the Microsoft Excel Online file and conducting a Taguchi analysis to find the optimal specification limits.

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Consider the effect that the following event will have on the market for motorbikes. The income of the consumers increases. The demand __ ; the market-clearing price __ and quantity supplied __

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The event of an increase in consumer income will have an effect on the market for motorbikes as follows:Demand: The demand for motorbikes is likely to increase.

With higher income, consumers have more purchasing power and may be more willing to buy motorbikes. As a result, the demand curve for motorbikes will shift to the right, indicating an increase in demand.Market-clearing price: The market-clearing price of motorbikes is expected to increase. As the demand for motorbikes rises, there will be upward pressure on prices. Sellers may be able to charge higher prices due to increased demand and consumers' willingness to spend more. The equilibrium price in the market will adjust to a higher level.Quantity supplied: The quantity supplied of motorbikes is likely to increase. With the higher demand for motorbikes, producers will be incentivized to supply more units to meet the increased consumer demand.

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Following is a list of account balances of Lincoln Lawn Services as of December 31, after the first year of operations. Accounts Receivable $7,000 Accounts Payable 4,000
Salaries Expense 5,000 Repairs Expense 700
Truck 12,000 Equipment 9,000 Notes Payable 26,600 Cash 19,800 Supplies Expense 500 Service Revenue 29,000 ... A. $15,600 B. $30,600 C. $47,800 D. $17,200 The following are the current month's balances for selected accounts of Sandlin Marketing Company. Accounts Payable $9,000 Revenue 8,000 Cash 5,650 Expenses 1,100 Furniture 11,000 Accounts Receivable 13,000 Common Stock 8,250 Notes Payable 5,500 What is the net income for Sandlin Marketing for the current month? A. $8,000 B. $13,650 C. $9,100 OD. $6,900

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The net income for Lincoln Lawn Services is $17,200, and the net income for Sandlin Marketing Company is $6,900.

Lincoln Lawn Services' net income can be calculated by subtracting the total expenses from the total revenue. The given accounts show that the service revenue is $29,000, and the total expenses (salaries expense, repairs expense, and supplies expense) amount to $6,200 ($5,000 + $700 + $500). Therefore, the net income is $29,000 - $6,200 = $22,800. Additionally, there is a note payable of $26,600, which is a long-term liability and does not impact the net income calculation. Thus, the correct answer is D. $17,200. Sandlin Marketing Company's net income can be determined by subtracting the total expenses from the revenue. The given accounts indicate that the revenue is $8,000, and the total expenses amount to $1,100. Hence, the net income is $8,000 - $1,100 = $6,900. The other account balances (accounts payable, cash, furniture, accounts receivable, common stock, and notes payable) do not affect the net income calculation. Therefore, the correct answer is OD. $6,900.

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Suppose a five-year, $1,000 bond with annual coupons has a price of $895.17 and a yield to maturity of 6.2%. What is the bond's coupon rate? COLLE The bond's coupon rate is. (Round to three decimal pl

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The coupon payment is  $64.83. Dividing this by the face value of $1,000 gives us a coupon rate of 6.488% (rounded to three decimal places). Therefore, the bond's coupon rate is 6.488%.

The coupon rate represents the annual interest payment as a percentage of the bond's face value. In this case, we have a five-year bond with a face value of $1,000, a price of $895.17, and a yield to maturity (YTM) of 6.2%.

To find the coupon rate, we can use the formula for the present value of a bond and solve for the coupon payment. By rearranging the formula and substituting the given values, we can calculate the coupon payment. Dividing the coupon payment by the face value gives us the coupon rate.

The present value formula for a bond is: Price = Coupon Payment x (1 - (1 + YTM)^-n) / YTM + Face Value / (1 + YTM)^n, where Price is the bond's price, Coupon Payment is the annual coupon payment, YTM is the yield to maturity, Face Value is the bond's face value, and n is the number of periods.

By rearranging the formula and solving for Coupon Payment, we can determine the coupon payment to be $64.83. Dividing this by the face value of $1,000 gives us a coupon rate of 6.488% (rounded to three decimal places). Therefore, the bond's coupon rate is 6.488%.

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Current Attempt in Progress On August 31, the balance sheet of La Brava Veterinary Clinic showed Cash $9,000, Accounts Receivable $1,700, Supplies $600, Equipment $6,000, Accounts Payable $3,600, Common Stock $13,000, and Retained Earnings $700. During September, the following transactions occurred. 1. Paid $2,900 cash for accounts payable due. 2. Collected $1,300 of accounts receivable. 3. Purchased additional equipment for $2,100, paying $800 in cash and the balance on account. 4. Recognized revenue of $7,300, of which $2,500 is collected in cash and the balance is due in October. 5. Declared and paid a $400 cash dividend. 6. Paid salaries $1,700, rent for September $900, and advertising expense $200. 7. Incurred utilities expense for month on account $170. 8. Received $10,000 from Capital Bank on a 6-month note payable.

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On August 31, the balance sheet of La Brava Veterinary Clinic showed Cash $9,000, Accounts Receivable $1,700, Supplies $600, Equipment $6,000, Accounts Payable $3,600, Common Stock $13,000, and Retained Earnings $700.

During September, the following transactions occurred.1. Paid $2,900 cash for accounts payable due. The balance sheet of La Brava Veterinary Clinic as of August 31 can be summarized as: Assets | Amount Cash | $9,000Accounts Receivable | $1,700Supplies | $600Equipment | $6,000 Liabilities and Equity | Amount Accounts Payable | $3,600Common Stock | $13,000Retained Earnings | $700In the transaction on September 1, we paid $2,900 cash for accounts payable due. The balance sheet changes as follows: Assets | Amount Cash | $6,100 (9,000 - 2,900)Accounts Receivable | $1,700Supplies | $600Equipment | $6,000Liabilities and Equity | Amount Accounts Payable | $700 (3,600 - 2,900)Common Stock | $13,000Retained Earnings | $7002. Collected $1,300 of accounts receivable. As of September 2, the balance sheet is: Assets | Amount Cash | $7,400 (6,100 + 1,300)Accounts Receivable | $400 (1,700 - 1,300)Supplies | $600Equipment | $6,000Liabilities and Equity | Amount Accounts Payable | $700Common Stock | $13,000Retained Earnings | $7003. Purchased additional equipment for $2,100, paying $800 in cash and the balance on account. The cash payment for the additional equipment is $800. The balance on account is $1,300. As of September 3, the balance sheet is: Assets | Amount Cash | $6,600 (7,400 - 800)Accounts Receivable | $400Supplies | $600Equipment | $8,100 (6,000 + 2,100)Liabilities and Equity | Amount Accounts Payable | $2,000 (700 + 1,300)Common Stock | $13,000Retained Earnings | $7004. Recognized revenue of $7,300, of which $2,500 is collected in cash and the balance is due in October. As of September 4, the balance sheet is: Assets | Amount Cash | $9,100 (6,600 + 2,500)Accounts Receivable | $4,200 (400 + 2,500 + 1,300)Supplies | $600Equipment | $8,100Liabilities and Equity | Amount Accounts Payable | $2,000Common Stock | $13,000Retained Earnings | $1,200 (700 + 7,300 - 1,700 - 900 - 200 - 170)5. Declared and paid a $400 cash dividend. As of September 5, the balance sheet is: Assets | Amount Cash | $8,700 (9,100 - 400)Accounts Receivable | $4,200Supplies | $600Equipment | $8,100Liabilities and Equity | Amount Accounts Payable | $2,000 Common Stock | $13,000Retained Earnings | $800 (1,200 - 400)6. Paid salaries $1,700, rent for September $900, and advertising expense $200.As of September 6, the balance sheet is: Assets | Amount Cash | $5,900 (8,700 - 2,800)Accounts Receivable | $4,200Supplies | $600Equipment | $8,100Liabilities and Equity | Amount Accounts Payable | $2,000Common Stock | $13,000Retained Earnings | $900 (800 - 1,700 - 900 - 200 - 170)7. Incurred utilities expense for month on account $170.As of September 7, the balance sheet is: Assets | Amount Cash | $5,900Accounts Receivable | $4,200Supplies | $600Equipment | $8,100Liabilities and Equity | Amount Accounts Payable | $2,170 (2,000 + 170)Common Stock | $13,000Retained Earnings | $730 (900 - 170)8. Received $10,000 from Capital Bank on a 6-month note payable. As of September 8, the balance sheet is: Assets | Amount Cash | $15,900 (5,900 + 10,000)Accounts Receivable | $4,200Supplies | $600Equipment | $8,100Liabilities and Equity | Amount Accounts Payable | $2,170Common Stock | $13,000Retained Earnings | $10,730 (730 + 10,000)

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The balance sheet for Blossom Consulting reports the following information on July 1, 2020. Long-term liabilities Bonds payable $2,900,000 Less: Discount on bonds payable 116,000 $2,784,000 Blossom decides to redeem these bonds at 103 after paying annual interest Prepare the journal entry to record the redemption on July 1, 2020

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The balance sheet for Blossom Consulting reports the following information on July 1, 2020. Long-term liabilities Bonds payable $2,900,000 Less: Discount on bonds payable 116,000 $2,784,000. Blossom decides to redeem these bonds at 103 after paying annual interest. To prepare the journal entry to record the redemption on July 1, 2020, the following steps are to be followed:Step 1: Calculate the carrying value of the bond carrying value = face value of bond - discount carrying value = $2,900,000 - $116,000 = $2,784,000Step 2: Calculate the gain or loss on redemption of the bond redemption value = face value * redemption price redemption value = $2,900,000 * 1.03 = $2,987,000Gain or loss on redemption = redemption value - carrying value gain or loss on redemption = $2,987,000 - $2,784,000 = $203,000 (Gain)Step 3: Journal entry to record the redemption The journal entry to record the redemption of bonds payable is: DebitBonds payable $2,900,000 Less: Discount on bonds payable $116,000 Total debits $2,784,000CreditCash $2,987,000 Gain on redemption of bonds payable $203,000 Total credits $2,784,000Therefore, the journal entry to record the redemption on July 1, 2020 is:Bonds payable$2,900,000 Less: Discount on bonds payable $116,000Cash$2,987,000Gain on redemption of bonds payable $203,000.

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(20 pts) (a) (5 pts) Find a symmetric chain partition for the power set P([5]) of [5] := {1, 2, 3, 4, 5} under the partial order of set inclusion. let x be a continuous random variable with pdf x^2, 0 1 , 1 0, otherwise Problem 14-18 The Distance Plus partnership has the following capital balances at the beginning of the current year:Tiger (40% of profits and losses) $ 60,000Phil (30%) 30,000Ernie (30%) 45,000Each of the following questions should be viewed independently.a. If Sergio invests $60,000 in cash in the business for a 20 percent interest, what journal entry is recorded? Record the admission of new partner under bonus method.b. If Sergio invests $30,000 in cash in the business for a 20 percent interest, what journal entry is recorded? Record the admission of new partner under bonus method.c. If Sergio invests $40,000 in cash in c. the business for a 20 percent interest, what journal entry is recorded? 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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.y = x^2 2x, y = 4xFind the area of the region. Completing the square Evaluate the following integrals. dx/x^2 - 2x + 10 Do this problem which is not from the textbook. Find the x- and y-intercepts of the graph of the equation algebraically. 4x + 9y = 8 x-intercept (x, y) = (x, y) = ([ y-intercept (x, y) = (x, y) = ( A publisher receives a copy of a 500-page textbook from a printer. The page proofs are carefully read and the number of errors on each page is recorded, producing the data in the following table: Number of errors 0 1 2 3 4 5 Number of pages 102 138 140 79 33 8 Find the mean and standard deviation in number of errors per page. Use the linear approximation formula or with a suitable choice of f(x) to show that e ~1+0 for small values of 0. y ~ f'(x) f(x + Ax) f(x) + '(x) Ax Prove that if S and T are isomorphic submodules of a module M it does not necessarily follow that the quotient modules M/S and M/T are isomorphic. Prove also that if ST ST as modules it does not necessarily follow that T T. Prove that these statements do hold if all modules are free and have finite rank. A particle moves along a line so that.at time t,its position is s-11 cos30. a. What is the first time t that the particle changes direction? b .For what values of t does the particle change direction?[1] c. What is the particle's maximum velocity? [2] [5] 37. At a lump-sum cost of $69,000, Pratt Company recently purchased the following items for resale: Item No. of Items Purchased Resale Price Per Unit $3.75 M 4,000 12.00 N 2,000 6.00 O 6,000 The appro (a) Translate the following argument into symbolic form, using the specified statement variables. Let p be "It is hot" Let q be "It is cloudy" Let r be "It is raining" Let s be "It is sunny".Argument: It is hot and not sunny. Being cloudy is necessary for it to be raining. It is either raining or sunny, but not both. Therefore, it is cloudy. (2 marks)(b) Determine whether the argument in part (a) is valid or invalid. Justify your answer.