What is the present value of the following payment stream, discounted at 8 nnually: $1,000 at the end of year 1, $2,000 at the end of year 2, and $3,000 at the end of year 3?

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Answer 1

The present value of the following payment stream:

PV = $1,000/1.08 + $2,000/1.082 + $3,000/1.083

PV = $5,022.10

Present value (PV) is the contemporary value of a future amount of money or stream of coins flows given a particular rate of go back. Present value takes the destiny value and applies a reduction rate or the interest rate that would be earned if invested.

How do you decide present value?

The present value method is PV=FV/(1+i)n, in which you divide the future price FV with the aid of a thing of 1 + I for every length between gift and future dates. Input these numbers within the present value calculator for the PV calculation: The destiny price sum FV. Quantity of time durations (years) t, that is n within the components.

Why is present value important?

Present value is essential because it lets in buyers to examine values over time. PV can assist traders examine future economic advantages of current assets or liabilities used in areas like monetary modeling, inventory valuation, and bond pricing, primarily based on its destiny returns, traders can calculate present value.

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Related Questions

Explain how a business risk analysis can help protect the business from the impact of changes in the internal and external environment of the business

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A quick risk assessment will assist you in avoiding problems that could harm your cash. The assessment tells you of the steps you must take to secure your company. You can identify which circumstances you should address and which you should avoid. A quick risk assessment will assist you in avoiding problems that could harm your cash.

The risk assessment tells you of the steps you must take to secure your company. You can identify which circumstances you should address and which you should avoid. If and when a risk materializes, a well-prepared company can reduce the impact on earnings, lost time and productivity, and unfavorable customer impact.

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Western international inc. purchases unsold television and radio media and resells the time and space to advertisers and agencies. western international is most likely a(n)?

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Western International Inc. buys unsold television and radio media and resells time and space to marketers and agencies. It is most likely a foreign media.

Western international is most likely a foreign media.

Advertisers and  agencies is a business that works with clients to promote and raise awareness of them through advertising. These firms employ experts in marketing, advertising, and consumer behavior who have specific training and understanding. For their clients' advertisements, these professionals combine their talents. An advertising agency is a specialist company that assists its clients in using advertising to sell their products and services in the most efficient way possible. Creative and business-minded individuals, writers and artists, performers and market analysts, merchandisers and researchers, and advertising specialists of all stripes make up an advertising agency.

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In analyzing the pharmaceutical industry for a prospective business​ launch, nicole​ turco, a ph. D. In​ pharmacology, concluded that the industry was attractive because the threat of substitutes is​ ___________.

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In analyzing the pharmaceutical industry for a prospective business launch, Nicole Turco, a Ph.D. In pharmacology, concluded that the industry was attractive because the threat of substitutes is low.

The pharmaceutical industry uses a variety of analytical methods. However, the methods that are most frequently used include chromatography methods, including HPLC, LC-MS, GC, and GC-MS. These methods are the industry norm for examining polymorphism in novel medications. The use and application of knowledge analytics in the pharmaceutical industry is known as pharma analytics.

Pharmaceutical manufacturers can gain important insights into how to speed up and optimize production by integrating big data analytics tools. Investors ought to assess a business's "pipeline" (i.e., what percentage of drugs a corporation has in development and also the various stages of clinical testing).

A study of the advantages, disadvantages, opportunities, and threats. The following findings were made after conducting a SWOT analysis (strengths, weaknesses, opportunities, and threats). Strengths. Malta has a developed pharmaceutical industry with a sufficient production base.

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Many economists suggest that absent legal mechanisms of discrimination, the wage paid to men and women will converge because?

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it will likely be within side the hobby of income minded employers to lease blacks, accordingly bidding up their wages.

Discrimination is the act of creating differences among human beings primarily based totally at the agencies, classes, or different classes to which they belong or are gave the impression to belong. People can be discriminated on the idea of race, gender, age, religion, disability, or sexual orientation, in addition to different classes.

Discrimination in particular takes place while people or agencies are unfairly dealt with in a manner that is worse than different human beings are dealt with, on the idea in their real or perceived club in positive agencies or social classes. It includes limiting participants of 1 institution from possibilities or privileges which are to be had to participants of any other institution.

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If the price of cocoa rises by 10 nd the elasticity of supply is 0.5, then the quantity supplied:______.

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If the fee of cocoa rises by using 10 and the elasticity of delivery is 0.5, then the amount provided: is a five percent boom in quantity supplied.

Elasticity is the capability of an object or cloth to renew its ordinary shape after being stretched or compressed. instance: A rubber regains its shape after long stretch because of its elastic belongings. The 4 fundamental kinds of elasticity of demand are rate elasticity of call for, cross elasticity of call for, income elasticity of call for, and marketing elasticity of demand.

Elasticity is the ability of a deformed cloth frame to go back to its authentic shape and length while the forces inflicting the deformation are removed. A frame with this ability is said to behave (or reply) elastically.In economics, elasticity measures the proportion exchange of one monetary variable in response to a percent change in another. If a terrific's charge elasticity of demand is -2, a ten% boom in charge causes the quantity demanded to fall 20%.

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increases in assets and owner’s equity as a result of selling services or products to customers is called revenue

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Yes, increase in assets and owner's equity as a result of selling services or products to customer is called revenue.

Revenue is the money earned from normal business operations and is calculated by multiplying the average sales price by the number of units sold. Net income is calculated by subtracting costs from the top line (or gross income). On the income statement, revenue is also known as sales.

Revenue (from the sale of goods or services) less operating expenses equals operating income.Non-operating income is income derived from secondary sources that is infrequent or nonrecurring (e.g., lawsuit proceeds).Non-commercial entities such as governments, nonprofits, and individuals also report revenue, though the calculations and sources vary.Revenue is simply the proceeds of sales, whereas income or profit includes the expenses incurred in order to generate revenue and reports net (not gross) earnings.

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identify three (3) concerns of a resident project representative or on inspector with respect to a project during the construction phase:

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The three (3) concerns of a resident project representative or on inspector with respect to a project during the construction phase are :

SafetyQualityScheduleResident Project Representative

A resident project representative (RPR) is in charge of monitoring daily construction activities to ensure that the project is being built in accordance with the contract documents and construction plans. They serve to lessen and, if feasible, completely eliminate the possibility of building flaws or shortcomings. The RPR must be well-organized, communicate clearly with the Client, Contractor, and Engineer, and always conduct as much study and planning in advance as is practical.

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Title insurance companies when preparing legal documents for a real estate closing do so as a(n):_____.

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Title insurance companies when preparing legal documents for a real estate closing do so as a Deed

A deed is any written legal document that transmits, affirms, or confirms an interest, right, or piece of property and is signed, witnessed, delivered, and in certain places, sealed. It is frequently related to transferring ownership of property.

What kind of deed would that be?

A deed is a statement of ownership. A deed is a document that certifies property ownership. noun. a document transferring a real estate staketo carry out or engage in any certain conduct, typically one that is unpleasant, nasty, or criminal

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Y3k, inc., has sales of $6,209, total assets of $2,825, and a debt-equity ratio of 1.10. if its return on equity is 11 percent, what is its net income?

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Y3k, inc., has sales of $6,209, total assets of $2,825, and a debt-equity ratio of 1.10. if its return on equity is 11 percent, the net income will be:

This is a multi-level, multi-ratio problem. All specified ratios are part of DuPont's identity. The only DuPont ID metric not provided is Profit Margin. Knowing the profit margin, given the sales, we can determine the net income. So let's start with DuPont's identity.

Return on Equity = .11 = (Profit margin)(Total asset turnover)(Equity multiplier) = (PM)(S / TA)(1 + D/E)

Solving the DuPont Identity for profit margin, we get:

Profit margin = [(ROE)(TA)] / [(1 + D/E)(S)]

Profit margin = [(.11)($2,825)] / [(1 + 1.10)( $6,209)]

Profit margin = .0238

Now that we have the profit margin, we can use this number and the given sales figure to solve for net income:

Profit margin = .0238 = Net income / Sales

Net income = .0238($6,209)

Net income = $147.98

Return on equity (ROE) is an organization's Internet revenue divided by equity. Return on equity is a measure of a company's profitability and how accurately it produces those profits. The higher the return on equity, the more an employer can turn their fair share of money into earnings.

What is a superior return on equity?

Return on equity is used to assess the overall economic performance of companies in the same industry. This is a far cry from the ability to generate income from fairness available to managers. A return of 15-20% is considered true.

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What+is+the+pv+of+an+ordinary+annuity+with+5+payments+of+$6,200+if+the+appropriate+interest+rate+is+4.5%?

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The present value of annuity will be $ 27211.8

Annual payment (annuity) = $6,200

rate of interest (r) = 4.5%

no. of payments (n) = 5

Present value = annuity*{1-(1+r) ^-n/r}

                      = 6,200*{1-(1+0.045) ^-5/0.045}

                      = 6,200*4.389

                       = $27211.8

annuity- An annuity is a set of payments that are made at regular intervals. Regular savings account deposits, monthly home mortgage payments, monthly insurance payments, and pension payments are all examples of annuities. Annuities can be classified by the frequency of payment dates. Payments (deposits) can be made on a weekly, monthly, quarterly, yearly, or any other regular basis. Annuities can be calculated using mathematical functions called "annuity functions."

A life annuity is an annuity that provides payments for the rest of a person's life.

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Assume a sales volume of 5040 units, unit selling price of $14, what is the margin of safety in units?

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3,010 is the margin of safety in units.

Current Sales Units = 5,160 units

Contribution Margin per unit = Selling price per unit – Variable cost per unit

Contribution Margin per unit = $14 - $6

Contribution Margin per unit = $8

Break Even Point in Units = Fixed Cost / Contribution Margin per unit

Break Even Point in Units = $17,200 / $8

Break Even point in units = 2,150 units

The margin of Safety in Units = Current sales Units – Break Even point in units

Margin of Safety in Units = 5,160 – 2,150

The margin of Safety in Units = 3,010 units.

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an investor purchased an industrial building in january for $524,900. the contract specified that 80% of the purchase price be allocated to the structure, and the remaining purchase price be allocated to the land. what is the annual depreciation deduction? (round to nearest dollar.)

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The annual depreciation deduction

$10,767. $524,900 × .80 = $419,920 building. $419,920 ÷ 39 years = $10,767.

Deduction is an account system for allocating the cost of a palpable or physical asset over its useful life. Deduction is a measure of how important of an asset's value has been consumed. It enables businesses to induce profit from means they enjoy by paying for them over time.

The immediate cost of power is significantly reduced because companies don't have to regard for them entirely in the time the means are bought. Account for deprecation inaptly can have a significant impact on a company's gains. Long- term means can also be downgraded for duty and account purposes.

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A(n) ________ in the liquidity of corporate bonds will ________ the price of corporate bonds and ________ the yield on corporate bonds, all else equal. group of answer choices

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A increase in the liquidity of corporate bonds will increase the price of corporate bonds and decrease the yield on corporate bonds, all else equal. A corporate bond is a sort of debt securities that a company issues and sells to investors.

When the bond "reaches maturity," or expires, the payments stop and the initial investment is refunded. The bond is often backed by the company's ability to repay, which is determined by its future revenue and profitability projections. Physical assets of the company may be used as collateral in some instances. A corporate bond is a type of debt issued by a firm to raise funds.

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the head of a government agency proposes an idea to a group of advisors. the group quickly reaches consensus, as no contradictory or critical opinions are offered, despite the fact that there are substantial weaknesses in the boss’s proposal. this is an example of

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Since the group quickly reaches consensus, as no contradictory or critical opinions are offered, despite the fact that there are substantial weaknesses in the boss’s proposal, this is an example of: groupthink.

What is a group?

A group can be defined as a group of people or set of individuals that have various knowledge, ideas, opinions, skill set, values, and experience, who come together in order to successfully achieve a predefined (set) goal and objective.

What is a groupthink?

A groupthink can be defined as a psychological practice which involves thinking or making decisions as a group of people, that typically results in an unchallenged, irrational, weak, poor-quality, or dysfunctional decision-making due to their desire for harmony or conformity.

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Employers might not hire candidates who are physically attractive because they perceive them to be __________.
a. distractions
b. manipulators
c. snobs
d. threats

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Employers might not hire candidates are physically attractive because they perceive them to be snobs.

An employer is an individual (someone, company, or company) that hires some other character (an employee), can pay the worker a revenue or wage, and has the power to control the worker's work obligations; a man or woman who employs and supervises an employee.

Extra, in particular, an business enterprise is an enterprise, organization, government entity, business enterprise, organization, expert services firm, nonprofit association, small commercial enterprise, shop, or person who employs or places work folks who can be referred to as employees or personnel contributors.

The company is whoever pays your earnings. examine which company name seems for your profits announcement. The case of a manager is. it can be the person who approves your leaves, the one who sets your annual desires and does the once-a-year appraisal, or the only one who assigns you obligations and checks your reputation.

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according to the text, superior performance within the strategic business unit (sbu) is sought by asking which major question?

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When a large company implements the SBU strategy, it creates fully functional departments to manage specific products, services, customers, or geographical areas. These departments are self-contained and were established with the goal of increasing profits and business.

To grow the size of their businesses and offer vast varieties of products, organizations have to adopt the SBU strategy. When Coca-Cola aspired to tap into other market spaces, they reallocated teams and resources to manage subsidiary products like Nestea, Aquabona and Fanta. They set up these strategic business units (SBUs) for an uninterrupted focus on each of these products over the long term.

” The fundamentals lie in the characteristics of a strategic business unit and understanding the SBU structure. Managers must also know the different types of strategic business units to analyze processes and allocate resources effectively.

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When decision makers do not know all the risks associated with each alternative or the likely consequences of each one, they are making decisions in a condition of?

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Decision makers do not know all the risks associated with each alternative or the likely consequences of each one, they are making decisions in a condition of a State of uncertainty.

What is Decision making?

Modern management is not complete without decision-making. Making rational or sound decisions is viewed as the main responsibility of management. Every manager makes countless decisions, either consciously or unconsciously, and these choices are crucial to the job of a manager.Decisions are crucial because they influence managerial and organisational actions.A choice of action made with intention to accomplish organisational or managerial objectives or goals can be referred to as a decision. Making decisions is a constant and essential part of managing any organisation or business operations. Decisions are made to maintain organisational operations and all company activity.

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All of the following investment company terms are synonymous except? a bid b redemption price c net asset value d offering price

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Except for offering price, all of the following phrases refer to investment companies.

A corporation or trust operating as an investment company invests the collective capital of investors in financial securities. A closed-end fund or an open-end fund is typically used for this (also referred to as a mutual fund). Most investment businesses in the United States are registered with and subject to regulation by the Securities and Exchange Commission (SEC) in accordance with the Investment Company Act of 1940.

A fund firm or fund sponsor is another name for an investment company, which frequently collaborates with distributors from outside the industry to market mutual funds.

Investment firms are commercial businesses that manage, advertise, and sell public funds. They can be privately or publicly owned. An investment company's primary function is to hold and manage assets for investors, but they also often provide a range of funds and services, including portfolio management, recordkeeping, custodial, legal, accounting, and tax management.

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as of dec. 31, 2022, robby's total assets had a fmv of $110,000. at the beginning of 2022, robby's total assets had a fmv $80,000. during 2022, robby spent $20,000 on food, clothing, and other personal expenditures. in addition, the fmv of the 2022 rent for the home that robby lives in is $20,000. robby owns the home. robby earned a salary of $50,000 in 2022. what is robby's economic income for 2022? for tax purposes, what is robby's income for 2022?

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According to Statistics Netherlands (CBS), the Dutch retail sector had a 5.5 percent increase in turnover over the same period last year. However, sales volume decreased by 1.5 percent. Both the food and non-food sectors saw increases in turnover of 9.0 and 2.9 percent, respectively. Additionally, the turnover of internet stores rose by 5.0 percent.

Data on retail turnover have been modified to account for the July shopping day trend. Retail sales frequently fluctuate from day to day. Retail turnover in July 2022 was 3.2 percent higher than in the same month a year prior if the shopping-day pattern is ignored.

July 2022 had a 9.0 percent increase in turnover for stores that sold food, drinks, and cigarettes compared to the same month in the previous year. However, sales volume fell by 0.9 percent. Supermarket and specialty store turnover increased by 9.8 and 3.9 percent, respectively.

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Where should the importance of your topic be stated to gain the interest of the audience?

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In the introduction of your speech should the importance of your topic be stated to gain the interest of the audience.

No matter what other techniques you employ to grab attention, you should always link the subject to your audience in the speech's start. It is seldom a good idea to discuss the significance of your issue in the speech's start.

Identification of the audience is necessary in order to tailor a speech to their interests, degree of comprehension, attitudes, and beliefs. It's crucial to keep the audience in mind when creating and delivering a presentation since doing so will increase a speaker's efficacy.

The person or persons you wish to interact with are your audience. You may more effectively construct your message so that it is understood by them by getting to know them better (their requirements, wants, values, etc.).

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a young couple, with a high credit score, would like to buy a run-down house in a high-risk neighborhood.

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the lender refuses to lend in that neighborhood, the lender is guilty of redlining.

What is redlining?

Redlining is a technique that excludes potential customers who live in neighborhoods that are deemed "hazardous" to investment because of the high concentration of low-income and racial and ethnic minorities there from receiving services (financial and otherwise). The most well-known examples of redlining are the rejection of insurance and credit, but other, less well-known examples include the formation of food deserts in minority neighborhoods and the denial of healthcare. The deliberate placement of stores inconveniently far from targeted residents has a redlining effect in the case of retail businesses like supermarkets. When a lender or insurer took advantage of the lack of lending competition compared to non-redlined neighborhoods to target residents of communities with a preponderance of minorities, this practice is known as reverse redlining.

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Short-term finance deals with:_____.a. the timing of cash flows. b. acquiring and selling fixed assets. c. financing long-term projects.d. capital budgeting. e. issuing additional shares of common stock.

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Short-term finance deals with the timing of cash flows. Hence, option A is correct.

What is Short-term finance?

The term "short-term financing" refers to financial requirements for a short time, often less than a year. In the corporate world, it's frequently referred to as working capital financing. The business's erratic cash flow, seasonal business patterns, etc., usually necessitate this type of financing.

The main sources of short-term financing are trade credit, commercial bank loans, commercial paper, a specific type of promissory note, and secured loans.

Thus, option A is correct.

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The broadening of the multinational job market, and even the way the jobs are performed, can be attributed to?

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The broadening of the multinational job market, and even the way the jobs are performed, can be attributed to globalization

This is further explained below.

What is globalization?

Generally, The process through which international commerce and advances in technology have transformed the globe into a more interconnected and interdependent community is referred to as globalization.

The economic and social shifts that have occurred as a direct consequence of globalization are also included under the definition of globalization.

In conclusion, The phenomenon of globalization is responsible for the expansion of the job market on a worldwide scale, as well as the transformation in the manner in which occupations are carried out.

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how would you categorize opportunities in a swot analysis? multiple choice external, harmful internal, helpful internal, harmful external, helpful

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The way to categorize opportunities in SWOT Analysis is Helpful External.

What are opportunities in SWOT Analysis?

In Strengths, Weaknesses, Opportunities, and Threats Analysis (SWOT), the opportunities refer to anything that a company can benefit from that is happening outside the company.

Opportunities are therefore helpful things that can happen to a company from the external environment because they can be taken advantage of but aren't created by the company so they will fall under the category of Helpful External.

In conclusion, the way to categorize opportunities in a SWOT Analysis is as helpful external.

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The issuance of additional shares of stock by the firm, assuming all other conditions remain constant, will result in:_________

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The share price will decrease if the firm issues additional shares because the equilibrium point will change as the supply of shares increases and the demand remains constant. This is supposing that all other variables remain unchanged.

A corporation is considered to be cheap or undervalued if its share price is lower than its intrinsic value. On the other side, a corporation is expensive or overvalued when the stock price exceeds its intrinsic value. The stock seems better the lower the price is. Investing in equities with a low P/E ratio is less expensive than investing in firms with a high P/E ratio. Some investors buy these stocks at a bargain with the hope that their value will rise. If this happens, the investors will profit. When firms issue additional shares, the amount of common stock that is traded on the stock market increases. The holdings of present investors might be diluted if too many shares are issued. Share dilution occurs as a result of the additional shares devaluing the existing shares in the eyes of investors.

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The united states limits the amount of cheese purchased from other countries; this is an example of a(n)?

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The united states limit the amount of cheese purchased from other countries; this is an example of an import quota.

What is the Import quota?

A sort of trade restriction known as an import quota places a physical cap on the volume of a good that may be brought into a nation over a certain amount of time. Like other trade restrictions, quotas are frequently employed to the advantage of the economy's producers of a particular good. Import quotas are a type of restriction that the government imposes on the trade of a specific commodity by limiting the amount of the product that can be imported during a specific period, usually for one year, to assist local producers.

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companies create business records of many types and store the electronic files using an electronic records management (erm) system. explain why an erm is a senior management issue and not simply an it issue?

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In the condition given above, it has been stated that Electronic Records Management System (ERM) is a senior management issue and not an IT issue, because the senior management is accountable for the data and information being stored in the records.

What is the significance of senior management issue?

A senior management issue can be referred to the issues that occur in organization directly in relation to the duties and powers of the senior management and personnel of the organization. The senior management is bound by certain rules and regulations.

Therefore, the significance regarding senior management issue has been aforementioned.

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during iep, the effective date is either the first of the month the member becomes eligible or the first of the month following the month the enrollment form is submitted, whichever is later. select one: true false

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It is true to say that During IEP, the practical date is either the first of the month the partner becomes eligible OR the first of the month following the month the registration form is submitted, whichever is later

What is IEP?

An IEP is called Initial Enrollment Period. It is a vocabulary used mostly in healthcare and medicine.

The Initial enrollment period is a seven-month course during which a person evolves eligible for Medicare for the first time.

For people who are qualified owing to age, this course begins three months before they get the age of 65, contains the month they reach the age of 65, and completes three months after they reach the age of 65.

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a newspaper article revealed that hazardous wastes buried in an on-site landfill at a paper manufacturer were leaking into the local water supply. even though the company quickly stopped the leak and paid for an additional water purification system for the town, it still received some very negative publicity. the company should have:

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After negative publicity received because of an article which was printed in news paper the efforts that can be done by paper manufacturers is that they can use or implement its crisis management plan so that they can get positive publicity.

What is the Crisis management plan?

When a plan is executed in a critical situation which is critical and has a negative effect on the profitability, reputation, or ability to operate an organization or nation, at that time, the plan which is applied is called a crisis management plan.

It is because of the crisis management plan that one can gain a positive image and also get positive publicity from all the humans or citizens who are connected to that particular organization or nation.

Therefore, it is the newspaper manufacturers who should also use crisis management plans so that they can get rid of negative publicity.

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which business practice is described by the following scenario: a steel mill owner buys the mine that produces iron ore, the railroad that transports the iron ore, the factory that makes steelmaking furnaces, and the company that advertises the steel?

Answers

Vertical Integration.

It is a methodology that permits an organization to smooth out its tasks by taking direct responsibility for phases of its creation cycle instead of depending on outside workers for hire or providers.

It works when an organization endeavors to expand its impression across the store network or assembling process. Rather than adhering to a solitary point along the cycle, an organization takes part in vertical reconciliation to turn out to be more confident on different parts of the interaction.

There are three types of vertical integration are:-

Backward Integration:- moves the possession control of its items to a point prior in the store network.

Forward Integration:- extends by dealing with the conveyance cycle and offer of its done items.

Balanced Integration:- plans to converge with organizations both before it and after it along the inventory network.

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How you do this someone please help???? Consider this equation. (4x)1/3 - x = 0 The first step in solving this equation is to ___The second step is to ____ Solving this equation for x initially yields _____ Checking the solutions shows that _____ Which of the following is not found in cytoplasm?watercarbohydratessaltvitamins Which is remittance advice submitted by medicare to providers that includes payment information about a claim? How did westward expansion reinforce the processes of industrialization, urbanization, and immigration? What event ultimately led the united states to change its foreign policy to one of intervention? What is the value of the expression below when x = 3 7x + 2 Find the distance between the two points in simplest radical form.(9,-8) and (3, 0) how many ml of 4% creosol solution need to be mixed with water to prepare 50 ml of a 1:150 creosol solution Nate is looking for a repair service for general household maintenance. Oneservice charges $75 to join the service and $30 per hour. Another service charges$15 to join the service and $40 per hour. After how many hours of service is thetotal cost for the two services the same? Find the greatest common factor of 60y^8, 40y^4, 20y^5 and 80y^5. please help i will give out brainlist Which of the following is TRUE of psychologically healthy people?They are uncomfortable when put in new social situations.O They avoid new experiences.O They frequently experience guilt.O They value human diversity. 1. In a conditional statement, where do you find the hypothesis? Select the correct answer. which type of government structure are school districts an example of ? a. general-purpose district b. special-purpose district c. township d. municipality Instruction designed to meet the unique needs of students with exceptionalities is best described as? PLEASE HELP Solve the following system algebraically. y = x^2 + 11 and y = 12x _____ powers is the term for the seventeen express powers that article i, section 8, of the constitution specifically grants to congress. Do-yun has just joined a law firm as its purchasing agent for all supplies, equipment, and service contracts. In his previous position at another company, do-yun could make decisions for any purchase up to $1 million; however, at the new law firm, he can only make decisions for purchases less than $500,000. Recently, do-yun has been working with a sales representative from a computer software firm on a contract for a new program to process the firms billing statements. Do-yun signs the contract, even though it is for $950,000. In this case, do-yun _______ part of the market for the software because _______. You collect coins. One of your favorite coins is a silver-colored coin showing a man's portrait. The radius of the coin is 12 millimeters. What is the diameter of the coin? What is the circumference of the coin? What is the area of the coin?