suppose you wanted to lock in an interest rate for an investment that begins in one year and matures in five years. what rate would you obtain if there are no arbitrage opportunities?

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Answer 1

investment with a one-year start date and a five-year maturity. assuming there are no prospects for arbitrage, what price would you get. To calculate the interest rate for four years.

How does investing work?

An asset or object purchased with the intention of earning revenue or growth is referred to as an investment. The term "appreciation" describes a rise in an asset's worth over time. When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.

why people invest,

A great method to put your funds to work and possibly increase your wealth is through investing. Your money may grow in value and outpace inflation with wise investing. The power that compounding and the threat trade-off are principally responsible for investing's higher growth potential.

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samantha puts an initial $500 into a savings account. the account has a 4% annual compound interest rate. what is the equation that best represents samantha's account? hint: use the formula y

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Samantha puts an initial $500 into a savings account. the account has a 4% annual compound interest rate. The equation that best represents Samantha's account is y = 500(1.04)x.

Use the formula y=P(1+r)x.

y = 500(1.04)x.

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate (called the principal sum). For instance, if you borrow $100 at 5% interest, your repayment to the lender will be $105 dollars. The money lender will profit $5. You could experience many interest types during your life. Every loan has a different interest rate, which will affect how much money you actually owe. Subtract the number of payments you'll be making that year from the interest rate. You would divide 0.06 by 12 to get 0.005 if you had a monthly payment schedule and an interest rate of 6%. To calculate the amount of interest you will be required to pay that month, multiply that amount by the outstanding loan balance. Understanding how to calculate interest rates will help you save money while making investment selections and solve many wage concerns. Simple interest rates can be calculated using a simple formula. You can calculate the highest interest rate for yourself if you are aware of your loan and the maximum amount of interest you can pay.

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permanent tax cuts have a larger impact on consumption spending than temporary ones. a. true b. false

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Permanent tax cuts have a greater impact on long-run income expectations than temporary tax cuts.

A tax is a legally binding charge that a government imposes on a person or business in order to generate revenue for public works initiatives that build the best facilities and infrastructure.The government uses taxes to fund various welfare programs, including employment programs. Property taxes, which are primarily levied on immovable property such as land and buildings, are an important source of revenue for state and local governments in the United States.

Income taxes are levies levied on an individual's total financial income, which includes wages, investments, and salaries.This means that those with higher incomes pay more taxes than those with lower incomes. This is also known as progressive taxation.

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a man buys a car for $32,000. if the interest rate on the loan is 12%, compounded monthly, and if he wants to make monthly payments of $700 for 48 months, how much must he put down? (round your answer to the nearest cent.)

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The amount that the man must put down, given the monthly payments and the interest rate, would be $ 5, 418

How to find the amount ?

To find the amount the man was put down, you need to find the present value of the loan that would give the man $700 monthly payments for 48 months and at a rate of 12 %.

First, find the monthly interest :

= 12 % / 12

= 1 %

The present value of the loan is :

= Monthly payment x Present value interest factor of annuity, 1%, 48 periods

= 700 x 37.97395949348

= $ 26, 582

The amount to be put down is :

= Selling price of car - loan amount

= 32, 000 - 26, 582

= $ 5, 418

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question content area the liability for a dividend is recorded on the a.last day of the fiscal year b.date of declaration c.date of record d.date of payment

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The liability for one dividends is recorded on the date of declaration, so option B is correct.

How do you define liabilities?

A liability is a company's future debt to customers, suppliers, or other firms. This implies that the business won't be able to turn a profit in the future. Different from equity, a liability is a mechanism for a firm to obtain funding.

What do business liabilities entail?

The legal debts that a company has to other creditors are known as liabilities. Just a few samples include current liabilities, accrued liabilities, and bank debt. For every firm, liabilities are a fundamental part of functioning and growth. Liabilities and equity must be properly balanced for a company to have a solid foundation.

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Buyer-supplier partnerships: a. reflect the trend toward horizontal integration. b. result in significant quality improvements and total cost increases. c. result in early supplier and supply involvement in design and description d. improve buyer-supplier communication at the expense of internal relationships e. are designed to maximize efficiency in buyer-supplier operations.

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C. result in early supplier and supply involvement in design and description

Definition of Supplier Involvement.

In order to improve designs and produce higher-quality results, the supplier management strategy involves involving suppliers at the outset of the product design process to draw on their experience and knowledge.

This idea clarifies the benefits of including suppliers in cross-functional teams at the beginning of the product development process. In order to ensure alignment and accountability throughout the product launch and innovation processes, it also examines the procedure for working with suppliers.

Supplier Involvement, a type of vertical collaboration between supply chain partners, involves the manufacturer bringing the supplier on board early in the product development cycle.

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what business software applications are commonly integrated with an enterprise resource planning (erp) system as modules? select all of the correct answer options.

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The business application software that  are commonly integrated with an enterprise resource planning (ERP) system as modules are

CRMPMBI

What are business application software?

Any software or collection of computer programs used by business users to carry out various business operations is referred to as business software. These business applications are used to boost output, gauge output, and carry out various other company tasks precisely.

A software program or a group of programs that offer business capabilities are known as business applications. They are also employed to raise and keep track of productivity across the entire company. Business apps may be utilized internally, externally, or in conjunction with other business apps.

By automating repetitive operations, the proper business software can help you:

reduce costs.increase the staff's effectiveness.Boost or assess workplace productivity.Accounting and business processes should be streamlined.process replacements for paper

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What business software applications are commonly integrated with an enterprise resource planning (ERP) system as modules? Select all of the correct answer options.

CRM

PM

BI

she knows she’ll be making only the minimum monthly payments each month until she can find a job where she’ll earn more income. this means some of her payment every month will go toward paying interest rather than paying down her principal. what other factor(s) might be most important to delara? why?

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APR and Penalty fees are be the two main factors that are to be considered important to Delera.

Why are these two factors also very important to consider?APR, as the APR will decide how much interest she accrues each month as she intends to carry a balance. Penalty fees/rates, as she is financially strapped and may, in all likelihood, miss payments. What is Annual Percentage Rate (APR) and Penalty Rates?

The phrase annual percentage rate of charge (APR) refers to the interest rate for the entire year (annualized), as opposed to only a monthly fee or rate, as applied on a loan, home loan, credit card, etc.

The penalty rate on a credit card is the rate that the credit card company charges you; it is higher than your standard APR. Not all credit cards carry a penalty APR, but if it does, then you can discover the figure in the small print of your card's terms and conditions. It is typically listed below the standard and cash-advance APRs in the rates table.

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a non-profit organization has obtained a temporary daily on-sale license for a fundraiser. who within the organization has to be rbs certified? a. the alcohol pourers b. the alcohol servers c. a designated person d. the owner

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The owner  within the organization has to be RBS certified.  Responsible Beverage Service training teaches servers how to serve alcoholic beverages responsibly for on-premises consumption while also reducing alcohol-related harm in California communities.

The new California law covers more than just bartenders and servers. This new law will have an impact on the entire alcohol industry. requiring nearly everyone to participate in a Responsible Beverage Training course (RBS). Depending on your location, the Study Material and final exam will take between 2 and 6 hours. The exam is 90 minutes long and must be completed in one sitting.

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a project leader asks hr for help with managing the team aspects of a challenging project. the team was tasked with prototyping a new consumer electronics product. due to various supplier problems, the team has missed several milestones. to meet the deadline, another team has been diverted from its less critical project and added to the delayed project. the project leader needs things to go as smoothly as possible with this new merged team so that no more time is lost. what should hr focus on?

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The project manager expects everything with this newly combined team to go as seamlessly as possible so that no additional time is lost. on what should HR concentrate. defining new roles

What is a project leader's job description?

The job of a project leader in managing projects entails a variety of duties, such as thorough planning, oversight of the project description, task organization, project supervision, project supervision, team motivation, and making crucial decisions regarding how to set up the strategy for the proposed project.

What do you call a project manager?

It's simple to become confused because there are so many different project manager positions, including project manager, project leader, team leader, and project lead. Some companies hire just one, while others recruit them all.

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a special power tool for plastic products costs $400,000 and has a 4- year useful life, no salvage value, and a 2-year before-tax payback 12-28 period. assume uniform annual end-of-year benefits. a (a) compute the before-tax rate of return. (b) compute the after-tax rate of return, based on macrs depreciation and a 24% combined corporate income tax rate.

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Divide 1 plus the after-tax return by 1 plus the rate of inflation to get the real rate of return, then subtract 1. The fact that a dollar in one's hand today is worth more than a dollar in one's hand tomorrow is reflected in the division by inflation.

We will make the assumption that the annual cash inflow or uniform benefit is $200,000 given that the payback period is two years. As a result, the cash flows would look like this:

Cash Flow Year 0 = $400,000,

Cash Flow Year 1 = $200,000,

Cash Flow Year 2 = $200,000,

Cash Flow Year 3 = $200,000,

Cash Flow Year 4 = $200,000

Using the EXCEL IRR function or formula, we can determine the rate of return before taxes. The following table displays the calculation:

Rate of Return Before Taxes = IRR(-400000,200000,200000,200000) = 34.90%

According to MACRS, the asset is property of the three-year class. As a result, the rates of depreciation applicable to that kind of property will be used.

Rate of Return After Tax = IRR(-400000, 177329, 192452, 152142, 142078) = 25.16 percent.

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lei is following the seven pillars of information literacy to work on the report her manager has asked her to prepare. she has no idea where to start. what should she do first?

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Lei is following the seven pillars of information literacy to work on the report her manager has asked her to prepare. She has no idea where to start. Lei should do first that she identify what she needs to find out.

The seven "pillars" of information literacy development—identify, scope, plan, gather, evaluate, manage, and present—are defined by the SCONUL Model as well as the attitudes and behaviors (i.e., understandings) and essential skills and competencies (i.e., abilities) associated with each.

An individual's capacity to gather, assess, and apply information is referred to as having "information literacy," which is a set of skills. Identifying, finding, evaluating, applying, and acknowledging sources of information are the five parts of information literacy.

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A company has just finished brainstorming around fifty names for its new product line. What are the next two steps it needs to take in the name development process?.

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The next two steps it needs to take in the name development process are screen out problematic names and check for domain and social media availability.

What do you think of as development?

The process of development ensures that everyone has a good quality of life in terms of enjoyment, peace, and the fulfillment of fundamental needs. It has to deal with the objectives, progress, and improvement of people. Because it highlights the idea of satisfying basic wants, this definition of development would be beneficial to all socioeconomic sectors.

What is a good illustration of economic growth?

Economic development is the raising of a country's wealth and Standard of living. Effects of economic development include advancements in public education, literacy rates, and productivity, for example.

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What aspect of today’s business environment is central to the need for robust transaction management processing systems?.

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Desire to track the stage of project fulfillment  aspect of today’s business environment is central to the need for robust transaction management processing systems.

Transaction processing systems (TPS) handle business transactions for the corporation, supporting overall enterprise operations During transactions, a TPS enables the user or customer to feel reliable and confident. TPS is quick and environment. Errors that occur during data exchanges are reduced in frequency by using TPS in enterprises. A sort of information system called a "transaction processing system" (TPS) gathers, saves, alters, and retrieves the data transactions of an organisation. Transaction processing systems still make an effort to ensure predictable response times to queries.

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GreenCut Lawnmowers makes three models of push mower: the Standard, the Premium, and the Pro. Condensed income statement data related to the three models are as follows: Standard Premium Pro Sales $499,000 $320,000 $450,000 Variable costs 68,000 69,000 72,000 Cont. margin 431,000 251,000 378,000 Fixed costs 245,000 264,000 271,000 Net income $186,000 $(13,000) $107,000 GreenCut is considering discontinuing the Premium mower; if it does so, 35% of premium cost would be eliminated. what would happen if greencut stops manufavturing the premium?

Answers

If GreenCut stops manufacturing the Premium mower, its net income will increase and the new net income will be $474,150.

If GreenCut stops manufacturing the Premium mower, its net income will increase. The total fixed costs for the Premium mower will be eliminated, resulting in a savings of $264,000. Since 35% of the variable costs for the Premium mower will also be eliminated, the savings from this source will be $24,150. Total savings will be $288,150.

Net income for the Standard and Pro mowers will remain the same. However, the total net income for GreenCut will increase by $288,150. The new net income will be $474,150 ($186,000 + $107,000 + $288,150).

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if merchandise inventory is being valued at cost and the price level is steadily rising the mehtod of cositng that will yield the highest net income is

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If merchandise inventory is being valued at cost and the price level is steadily rising, the method of costing that will yield the highest net income is: FIFO.

In order to calculate LIFO (Last-in, First-Out), multiply the cost of your most recent inventory by the quantity of goods sold, as opposed to FIFO (First-In, First-Out), which multiplies the cost of your oldest inventory by the quantity of inventory sold. First in, first out is a straightforward idea that describes how the FIFO technique in industrial storage works and how things are handled. In other words, the first load of goods or units to arrive at the warehouse leaves first. The last in, first out (LIFO) approach of inventory accounting is utilized. According to LIFO, expenses are deducted starting with the expenditures of the most recent goods that were bought (or produced). Only in the United States is LIFO practised, and it is governed by generally accepted accounting rules (GAAP).

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Attractive locations to transfer to arehonolulu, hawaii; san francisco, california; and seattle, washington.
The consultant recommended that she read an article titled "Opening Your Mind to Change." The consultant recommended that she read an article titled "Opening Your Mind to Change." The consultant recommended that she read an article titled Opening Your Mind to Change.

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A consultant's recommendation should outline a particular area of ​​expertise and instill confidence in the candidate's abilities. When writing a consultant recommendation letter, provide all the information a potential employer needs to feel comfortable hiring the candidate.

Good advisors are intuitive and experienced communicators with extensive vocabulary. He knows when and how to bring complementary tones to his client environment and is able to convey his expertise in a variety of ways. As oral communicators, they are effective facilitators and are able to deliver clear and concise points.

Consultants (often called management consultants) help organizations become more efficient. Help your organization work more effectively, solve problems, and make more money. Advisors provide advice and expertise to client organizations to help improve business performance.

It's no exaggeration to say that consultants are like doctors to companies. They are there to help our customers and contribute to their success. Where customers see only problems and obstacles, they see solutions and possibilities. We do our best to connect customers and provide business opportunities.

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The demand for labor is a derived demand because a. labor is a variable input. b. we demand what labor produces and not labor itself. c. labor is hired based on when the marginal revenue product is equal to the wage rate. d. all products must have some labor embodied in them

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The demand for labor is a derived demand because labor is hired based on when the marginal revenue product is equal to the wage rate. So, the correct answer is option C.

Businesses need labour and capital as inputs to their production process in order to produce goods and services. An economics principle called the demand for labour is derived from the demand for a firm's product. In other words, if there is a greater demand for a company's output, the company will need more workers and hire more people.

Additionally, if there is a decline in demand for the firm's output of products and services, it will need less workers, have a lower demand for labor, and retain fewer employees.

Labor supply and demand are influenced by labor market conditions. Those looking for work will provide their labour in exchange for compensation. Employers who demand labour from employees will compensate them for their time and expertise.

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each quarter, a local homeless shelter mails a newsletter to its volunteers to let them know the current needs of the shelter and to give them updates on how the staff at the shelter has helped its residents find permanent housing and jobs. the newsletter is an example of a

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Residents of the shelter have received assistance from the staff in locating long-term accommodation and employment. One type of house organ is the newsletter.

An organ at home is what?

A residential organ, often referred to as a house organ, box organ, cabinet organ, choir organ, home organ, practice organ, trunk organ, or chamber organ, is a musical instrument that is installed in a private dwelling.

In advertising, what exactly is a house organ?

The company's employees are intended to use an inside house organ as a means of management communication. The company's clients are the intended audience for an external house organ, which can either be a free monthly newsletter or a stand-alone, genuine product.

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mustafa's tax basis in his partnership interest at the beginning of the year was $10,000. if his share of the partnership liabilities increased by $10,000 during the year and his share of partnership income for the year is $3,000, what is his tax basis in his partnership interest at the end of the year?

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Mustafa's tax basis in his partnership interest at the end of the year is

$23,000.

What is tax basis?

Under U.S. federal tax law, the tax basis of an asset is generally its cost basis. Determining such cost may require allocations where multiple assets are acquired together. Tax basis may be reduced by allowances for depreciation. Such reduced basis is referred to as the adjusted tax basis.

How to determine mustafa's tax basis in his partnership interest at the end of the year?
From the question given,
Mustafa's tax basis in his partnership interest at the beginning of the year was $10,000

Then, his share of the partnership liabilities increased by $10,000 during the year

Lastly, his share of partnership income for the year is $3,000

Let's enter all the information into the tax basis formula as follows :

Tax basis

= Partnership at the beginning of the year + increase in partnership debt + share in partnership income for the year

= $10,000 + $10,000 + $3,000

= $23,000

Therefore, mustafa's tax basis in his partnership interest at the end of the year is $23,000.

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which system supports the capturing, organization, and dissemination of knowledge throughout an organization?

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Knowledge Management Systems supports the capturing, organization, and dissemination of knowledge throughout an organization.

Dissemination adopts the sender-and-receiver model of communication, which is the conventional viewpoint. The transmitter sends information, the receiver gathers it, processes it, and then sends information back, much like a telephone line, according to the traditional communication viewpoint.

Only a portion of this communication model theory is utilized with dissemination. Although the material is distributed and received, no response is provided. In a broadcasting system, the message carrier distributes information to several recipients rather than just one. In the areas of advertising, public announcements, and speeches, for instance, information is sent in these ways.

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question 6 a project manager forgets to assess how national holidays and team member vacations will affect the project’s completion date. now, because of team member time off, the project delivery will be two weeks late. what flexible planning strategy could the project manager have used to avoid the delay?

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As the project manager forgets to asses how national holidays and team members vacations will affect the project's completion date. Now, because as the project delivery will be two weeks late, a flexible planning strategy that he (project manager) can use to avoid the delay is assessing of an external constraint.

What is an external constraint?

In a business environment, an external constraints refers to those constraints that are thrust upon a company. The company has no or little control over an external constraint, so, the company must build their product and systems around that constraint.

An example of external constrain include resource scarcity, contracts (such as suppliers or employees), and legalities.

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Munchin Corporation has $200,000 of 6% bonds that were issued in Year 1 at $202,000. When the bonds are repaid at the maturity date, the journal entry will require which of the following entries?
Debit bonds payable $200,000
Credit cash $200,000

Answers

When the bonds are repaid at the maturity date, the journal entry will require the following entries Debit bonds payable $200,000 and Credit cash $200,000.

In a bond, the issuer owes the bond holder money and is required under the bond's terms to return the bond's principle and interest within a predetermined time frame until the bond matures. Interest is often required at preset periods, such as every six months, every year, and less frequently at various times.

Therefore, a sort of debt or debt confirmation is an obligation. Despite the fact that both stocks and bonds are regarded as securities, stockholders own shares in the corporation, and bondholders own creditors' shares.

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FILL IN THE BLANK. _____ aggregate customers' opinions related to products or services that they have purchased and then suggest them to others with the same interest.A)Recommendation Web sitesB)Group buying platformsC)Peer-to-peer e-commerce platformsD)Participatory e-commerce Web sites

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Ecommerce suggestion/ aggregate customers' opinions related to products or services that they have purchased and then suggest them to others with the same interest.

They are precisely what they sound like: products that are advocated to a brand's clients primarily based on what the manufacturer thinks they can also like and desire to purchase.

In a bodily store, pointers normally come courtesy of educated buying assistants.

What is product recommendation?

A product recommendation is basically a filtering gadget that seeks to predict and exhibit the gadgets that a user would like to purchase. It may additionally no longer be entirely accurate, but if it suggests you what you like then it is doing its job right.

A product recommendation engine is genuinely a solution that permits marketers to provide their clients applicable product pointers in real-time

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what is the supplier relationship like when the vendor is viewed as an partner? (select all the items that apply.)

Answers

The supplier relationship like when the vendor is viewed as an partner is openness and sharing of strategic and tactical information readily occurs.

A partner becomes an extension of your company, as opposed to a vendor who only supplies a given item or service. A corporation may have a limited number of IT, staff employees, with expertise in particular technological areas and little time to devote to enhancing the internal team members' skill sets.

To specify each business partner's obligations and rights in a commercial transaction, use partner functions. When you make a master record for a business partner, you may attach partner functions to that record.

The given question is incomplete, the complete question is:

What is the supplier relationship like when the vendor is viewed as an partner?

One or few number of suppliers

Price is moderately important but flexibility is very important

Openness and sharing of strategic and tactical information readily occurs.

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A hiking boot’s profits are declining because new competition has entered the market, but its cost has also declined due to increased volume of production. What stage of the product development life cycle is the hiking boot in?.

Answers

The hiking boot in stage in the development life cycle, as said, is maturity.

What does profit mean?

The money that remains after accounting your company expenditures is your profit. Gross profit, operational profit, and net profit are the three primary forms of profit. The largest profit is gross. It displays the remaining funds after paying for the purchased items and services.

What does the term "profit" mean?

The financial benefit a firm has when revenue exceeds expenditures and expenses is sometimes referred to as profit. One cup of lemonade, for instance, costs a youngster at a raspberry syrup stand one quarter. She then charges $2 for the beverage. She made $1.75 in profit upon that cup of lemonade.

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Two kinds of short-term effects of currency movements are transactions risk and _____ risk.

Answers

The two types of short-term effects on currency movements are transactions risk and transformational risk.

What is the definition of "currency"?

Money is a medium of exchange for goods and services. A government-issued unit of account that is accepted at face value is referred to as currency. Bartering was the practice of exchanging one item or service for another directly.

Why do we work with money?

Currency refers to the real paper coins and notes that are now in use. By taking the money, a trader has a convenient option to pay their trading partners for the goods they have sold. The benefits of currency also extend to other important areas. Due to their small size, coins and dollar bills are portable.

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for a firm that uses a single manufacturing overhead account, the journal entry to write off overapplied manufacturing overhead includes a debit to . multiple choice question. cost of goods sold manufacturing overhead

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For a firm that uses a single manufacturing overhead account, the journal entry to write off overapplied manufacturing overhead includes a debit to manufacturing overhead because overhead is overapplied, cost of goods sold is credited and manufacturing overhead is debited.

The total of all indirect costs spent during the manufacture of a product is known as the manufacturing overhead cost. Along with the direct expenses for materials and direct labor, it is included in the price of the finished product.

Indirect labor; indirect materials, supplies, and repair parts; rent and utilities; depreciation; and financial expenses are the five main categories of manufacturing overhead.

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suppose the price of a one-year zero coupon bond is $900, and that the price of a two-year zero-coupon bond is $800. both bonds have $1,000 face value. what is the price of a two-year coupon bond with a 10% coupon rate?7

Answers

The price of a two-year coupon bond with a 10% coupon rate is $970

We build a replicating portfolio that has the same cash flows as the coupon bond with a 10% coupon rate. These cash flows are $100 in period 1 and $1100 at maturity. Therefore, we need to buy 0.1 units of the one-year zero coupon bond which amounts to a cost of $90. Furthermore, to generate the same cash flow in period 2 as for the coupon bond, we need to buy 1.1 units of the two-year zero coupon bond which requires a payment of $880. Together, the cost for the portfolio amounts to $90+$880=$970.

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currently, 3m company pays an annual dividend of $2.50. if the stock is selling for $100, what is the dividend yield?

Answers

To calculate dividend yield , all you have to do is divide the annual dividends paid per share by the price per share.

So, the Dividend yield is 2.5%.

what is dividend Yield ?

A dividend is a sum of money distributed to shareholders from a company's profits. Dividends are paid to shareholders as compensation for holding the company's stock in addition to any increases in share value. Sector-specific businesses are recognized for paying dividends, and established businesses that can afford to not reinvest every dollar of profit back into the company are more likely to do so. Companies may provide dividends on a regular basis, such as once a quarter or once a year, or they may distribute special, one-time payouts.

what is dividend yield ?

The amount of dividends a corporation pays out annually for every dollar invested is known as dividend yield. If a company's dividend yield is 7%, for instance, and you buy $10,000 worth of its stock, you would receive a distribution of $700 year or $175 in quarterly installment

However, companies typically pay dividends based on the quantity of shares you own, not the value of those shares. As a result, dividend yields vary according to current stock prices. You can calculate dividend yield yourself, however many stock research tools will list recent dividend yields for you.

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a successful business plan should be no more than: a.100 pages. b.2 pages. c.5 paragraphs. d.10 pages. e.50 pages.

Answers

A successful business plan should be no more than 2 pages and should include the most important information from each section of the plan.

How many firms are profitable without a plan?

50% of newly founded companies fail within five years. It frequently occurs as a result of them ignoring a predetermined company plan. 25% of new businesses that don't have a business plan fail within the first two years.

What will happen without a business plan, is it possible for a company to succeed?

According to a second study (2), businesses that plan develop 30% more quickly than those that don't. This study indicated that while many firms can succeed without a plan, those with a plan grew more quickly and were more successful than those without one.

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