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In its first year of operations, Bronfren Corporation produced 800,000 sets and sold 780,000 sets of artificial tan lines. What would have happened to net operating income in this first year under the following costing methods if Bronfren had produced 20,000 fewer sets? (Assume that Bronfren has both variable and fixe...
d
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Find the eigenvalues of the matrix: {eq}A = \left [ \begin{array}{cc} 4 & 3 & 0 \\ 0 & 4 & 0 \\ 2 & 1 & 5 \end{array} \right ] {/eq}
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The demand function for a certain brand of CD is given by p = -0.01x^2 - 0.3x + 9 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the supply function for the CDs is p = 0.01x^2 + 0.12x + 6.
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Let $t$ be a transcendental number over $\mathbb{Q}$. How can I show that $\mathbb{Q}(t) \not\simeq \mathbb{Q}(t^3-t^2)$ as $\mathbb{Q}$-vector spaces?
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Suppose that the price p ( in dollars) and the weekly sales x ( in thousands of units) of a certain commodity satisfy the demand equation {eq}4p^3+x^2=45,900 {/eq}. Determine the rate at which sales are changing at a time when x=180, p=$15, and the price is falling at the rate of $80 per week.
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Lester Corporation, Inc. issued bonds with a face value of $20,000 and a coupon rate of 6% per year. What would be the total annual cash interest paid for a 6% coupon?
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A household-products manufacturing firm was required to examine its organizational architecture in order to survive in the market. The three aspects of its organization that it looked into are A. decision rights, rewards, and technology. B. government regulation, technology, and decision rights. C. government regula...
D
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The _____ involves efforts to monitor the process and provide timely performance feedback. A) goal setting B) task performance C) co-worker influence D) organizational influence E) task execution
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Which of the following statements is incorrect? A) A negative free cash flow means that the firm's operations are not producing any cash flows for investors and always indicates that the firm is mismanaged. B) A positive free cash flow means that the firm's operations are producing cash flows for investors both bondh...
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In the sequence $a_n= \dfrac{n^2}{n^2+n}$, why is the reasoning that since the common ratio $r=\dfrac{a_{n+1}}{a_n}=1$ and $a_n>0$ for all $n$, the sequence is increasing and therefore divergent incorrect, especially considering that the limit of the sequence is 1, which is not 0?
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Assume the following variable cost for a company: Units produced and sold 300,000 units Fixed cost $150,000 Variable cost per unit $60 The total cost for the company is: (hint: use equation). a. $1,800,000 b. $750,000 c. $1,650,000 d. $2,550,000
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What is the probability that you would get exactly 3 correct if you are guessing randomly, given that you know the correct answers for 8 out of 15 questions, and the last 7 questions are multiple choice with 5 possible answers each?
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You expect to receive $16,000 at graduation in two years. You plan on investing it at 8 percent until you have $100,000. How long will you wait from now? A. 28.91 years B. 25.81 years C. 21.81 years D. 23.81 years E. 28.39 years
B
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Monopolistic competitors will earn a normal profit in the _____ and will produce at an output where average total cost is _____. A. long run; below the equilibrium price. B. long run; at the minimum point. C. short run; at the minimum point. D. short run; above the equilibrium price. E. short run and long run; not...
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The current spot rate is $1.90/euro, and the 90-day forward exchange rate is $1.87/euro. If interest rate parity holds, which of the following is true? a) The dollar forward discount is about 4%. b) The dollar is expected to depreciate further over the next 90 days. c) The 90-day euro interest rate is higher than th...
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How do you graph the polar equation r=1-cos(theta)?
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If the coupon rate of a bond is 8%, which of the following statements is true: a. the bond will always sell at a discount. b. the bond sells for its face value when the coupon rate equals the current market rate. c. the bond sells at a discount when the market rate of interest is less than the coupon rate. d. the b...
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If pre-tax operating income is $100,000 and depreciation is $35,000, then after-tax operating cash flow is: a. $65,000 b. $135,000 c. $100,000 d. Not enough information is provided to determine this.
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What is the minimum pumping length of $(01)^*$ The solutions says 1, but can someone explain why that is? I understand this language accepts the empty string, but the minimum pumping length cannot be $0$. But, why is it 1? A general explanation of how to calculate the minimum pumping length would be much appreciated as...
1
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Carter Corporation has 10,000 shares of common stock outstanding at a price of $50 a share. The last dividend was $1.25 and is expected to grow at 6%, perpetually. If the discount rate for the stock is 15%, what is the value of the firm's equity?
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The savings rate is: a. investment minus gross national product. b. gross national product minus investment. c. savings in banks minus lending. d. savings in banks plus lending. e. gross domestic product minus investment.
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I have a problem evaluating the integral: $$\int_{\mathbb{R}}\left(\frac{e^{aix}-e^{binx}}{a-i}\right)^{*}\left(\frac{e^{aix}-e^{binx}}{a-i}\right)dx, a,b\in \mathbb{R}, a>0.$$
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How much is T company's increase (decrease) in cash during 2014? LO4 T Company Comparative Balance Sheets, December 31 2014 2013 Increase (Decrease) Assets: Cash $23,000 $32,000 $(9,000) Accounts receivable, net ...
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A young investment manager tells his client that the probability of making a positive return with his suggested portfolio is 80%. The portfolio is normally distributed, with a mean return of 6.2%. What is the standard deviation (z) that this investment manager has assumed in his calculation? Use Table 1. (Round "z" val...
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What is the {eq}x^3{/eq} term in the power series expansion (centered at {eq}0{/eq}) of the function {eq}\arctan(2x){/eq}?
- \frac{2^3 x^3}{3}
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Preferred stock is sometimes referred to as a hybrid security because it combines characteristics of both debt and equity. What is the one equity characteristic of preferred stock? a. Preferred stockholders have voting rights. b. Preferred stock cannot be converted into common stock. c. Preferred stock pays dividend...
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Let $X$ be a set and let $C(X)$ denote the vector space of real-valued continuous functions on $X$. Define $$ \langle f,g\rangle = \int \int_{x<y}f(x)g(y)-f(y)g(x)\,dx\,dy $$ Show that $\langle\cdot,\cdot\rangle$ is an inner product on $C([a,b])$.
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The _____ refers to the "net-worth" of a company. A. market value of equity B. debt ratio C. times-interest-earned ratio D. equity multiplier
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Which of the following statements is false? a. Common stockholders bear greater risk than bondholders. b. Common stockholders have a prior claim on assets and income of a firm compared to the bondholders. c. Common stockholders have limited liability. d. Common stockholders are residual claimants. e. Common stockholder...
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In a normal distribution, the arithmetic mean, median, and mode are equal. True / False
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A company estimates that the marginal cost (in dollars per item) of producing x items is 1.91 - 0.006x. If the cost of producing one item is $552, find the cost of producing 100 items.
711.09
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Consider the vector field {eq}\displaystyle F(x,y) = \left \langle -xy,x^2 \right \rangle {/eq}. Let {eq}\displaystyle C {/eq} be the quarter circle from {eq}\displaystyle (0,2) {/eq} to {eq}\displaystyle (-2,0) {/eq}. Evaluate {eq}\displaystyle \int_{C} F \cdot dr {/eq}.
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According to the concept of absolute PPP, if the price of a newspaper is $1.00 in the USA and 2.00 GBP in the UK, then the A) exchange rate is 1.00GBP/$. B) exchange rate is 2.00GBP/$. C) dollar is overvalued. D) dollar is undervalued. E) 1.50 GBP should sell for $1.00.
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All of the following are characteristics of an annuity due except: a. the present value of an annuity due is always less than the present value of an ordinary annuity b. the compounding process begins as soon as the dollar is received c. it is more advantageous to receive a dollar at the beginning of the period d. ...
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Three accounting issues associated with accounts receivable are: a. depreciating, returns, and valuing. b. depreciating, valuing, and collecting. c. recognizing, valuing, and disposing. d. accrual, bad debts, and disposing.
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Today, you signed a contract with an oil company agreeing to sell 10,000 gallons of oil to the oil company at $30 per gallon one year from today. What is the market price of the contract? a. $296,296 b. $300,000 c. $318,181 d. $286,301
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State the null and alternative hypotheses for this test. a) Ho: mu = 98, Ha: mu > 98 b) Ho: mu = 98, Ha: mu < 98 c) Ho: mu = 100, Ha: mu < 100 d) Ho: mu = 100, Ha: mu > 100 e) Ho: mu = 98, Ha: mu not equal to 98
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Which of the following is not an element of financial statements? a. Changes in equity. b. Revenues. c. Gains. d. Expenses.
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If a company uses direct labor hours as the allocation base for manufacturing overhead costs, and direct labor hours increase in a period, then a) total manufacturing overhead costs will decrease. b) the manufacturing overhead allocation rate will decrease. c) manufacturing overhead costs will be overapplied. d) No...
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A firm estimates that 0.8% of all customers will default on their credit purchases. The firm reports that a sample of 380 credit card customers had 1 default. Based on this sample, what is the probability that 2 or more customers will default? That is, what is the probability that the actual default rate is greater th...
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By the ____, we say that we reject the null hypothesis if the probability of the sample observations given that the null hypothesis is true is equal to or smaller than 5 percent. a. standard error criterion b. arbitrary criterion c. 5 percent criterion d. maximum probability criterion e. 1 percent criterion
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Assume that a monopolist faces a demand curve for its product given by: p = 160 - q. Further assume that the firm's cost function is: TC = 500 + 8q. How much output should the firm produce at an optimal price?
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Murghy's, Inc. has the following production and cost data for two of its products, Standard and Deluxe: StandardDeluxe Contribution margin per unit$51.49$34.56 Machine hours needed per unit1.900.80 A total of 73,000 hours is available each period for the production of the two products. The demand for both products ...
Deluxe
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Find the limit (if it exists). If the limit does not exist, then explain why. Use a graphing utility to verify your result graphically. {eq}\lim_{(x,y)\to (0,0)} \frac{x^5+8y^4}{x^4+2y^3} {/eq}
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Which of the following correctly describes the relationship between sales revenue (S), cash flows from operations (CFO), and long-term debt (LTD) for a company with a positive operating cash flow (OCF), a positive free cash flow (FCF), and zero change in the amount of long-term debt? a. S > CFO > FCF > LTD b. S > CFO...
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A student estimates the volume of a liquid in a beaker to be 100 ml, but does not use a significant figure in the estimate. From this measurement, the student is supposed to calculate the density of the liquid. The actual volume of the liquid is 106 ml. The student reports the density to be 3.56 g/ml. What is the perce...
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Information systems for electronic commerce primarily support three activities: (Select one): a. inventory management, transaction processing, and customer support. b. transaction processing, human resource management, and customer support. c. transaction processing, customer support, and marketing. d. marketing, ...
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For a random variable $X$ and a constant $a$ and $E(X)>0$, show that: $$E[(X+a)^2]=E(X^2)+2aE(X)+a^2$$
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New Corporation had a net income for 2016 of $79,000. News Corporation had 13,000 shares of common stock outstanding at the beginning of the year and 18,000 shares of common stock outstanding at the end of the year. There were 11,000 shares of preferred stock outstanding all year. In 2016, New Corporation declared and ...
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If bonds are issued between interest dates, the entry on the books of the issuing corporation could include a: A) debit to Interest Receivable B) debit to Unearned Interest C) credit to Discount on Bonds Payable D) credit to Premium on Bonds Payable
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Suppose the supply function for a certain brand of room air conditioner is {eq}p = S(x) = 0.013x^2 + 3.5x + 60 {/eq}. If the market price is $200, what is the producers' surplus there?
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Both net present value and internal rate of return methods require cash flow information. However, many finance professionals prefer the internal rate of return over the net present value method for making capital budgeting decisions. Explain why this preference exists.
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A local college has recently been affected by negative income tax (NIT). This policy has A. decreased college enrollment, eliminated college monopsony, and eliminated intercollegiate athletics B. increased college enrollment, eliminated college monopsony, and eliminated intercollegiate athletics C. decreased college...
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I need to prove or disprove that $\frac{(2n)!}{n!}$ is an integer for all $n$. I understand that $\frac{(2n)!}{n!}=\frac{2n(2n-1)(2n-2) \cdots(n+1)}{n}$ but I'm not sure how to prove that this is always an integer.
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Evaluate the circulation of {eq}\vec{G} = xy\vec{i} + z\vec{j} + 3y\vec{k} {/eq} around a square of side 7, centered at the origin, lying in the yz-plane, and oriented counterclockwise viewed from the positive x-axis.
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Each of the alternatives shown has a five-year useful life. If MARR is 10%, through benefit-cost ratio analysis, which alternative should be selected? Option XOption YOption Z Cost$600$500$200 Uniform Annual Benefit$158.3$138.7$58.3 A. Option X B. Option Y C. Option Z D. Do nothing
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What is the residual income for a division with operating income of $140,000, average operating assets of $460,000, and a minimum rate of return of 10%? a. $14,000 b. $92,000 c. $140,000 d. $182,000
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If two service departments service the same number of departments, which service department's cost should be allocated first when using the step method? a. The service department that provides the most service to other service departments.b. The service department that provides the most service to the user departments...
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A bank pays interest at the nominal rate of 12% compounded monthly. What is the effective rate of interest? (Give your answer as a percent rounded to two decimal places.)
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Net accounts receivable are the basis for the allowance for doubtful accounts, which A. Is added to net accounts receivable to compute total accounts receivable B. Is multiplied by the aging of accounts receivable to compute the unadjusted balance of bad debts C. Is multiplied by the percentage of uncollectible acco...
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Use the method of Lagrange multipliers. Maximize {eq}f(x,y) = 2xy{/eq} subject to {eq}x + y =12{/eq}
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Classify the following situation as a supply or demand shock: "Retirement savings decline". a. A positive (temporary) supply shock. b. A positive demand shock. c. A negative demand shock. d. A negative (temporary) supply shock.
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Which of the following costs would not be considered part of the manufacturing overhead of a chemical plant? a. The cost of disposing toxic waste materials. b. Salaries of factory medical personnel. c. Salaries of employees who operate distilling equipment used in the production process. d. The cost of complying wi...
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In a binomial experiment with n=300, p=.5, find the probability that p is greater than 60%, using the normal distribution as an approximation to the binomial distribution.
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An investor has funds to invest now and plans to use the principal and interest at the end of 3 years to purchase a house now valued at $100,000. The investor plans to take out a mortgage at that time for the purchase price of the house, which is expected to increase 10% per year. If the investor can earn 12% compounde...
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Frank's Fish Market buys on 3/10, net 40 days. What is the nominal cost of trade credit if Frank does not take advantage of the discount?
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How much debt is outstanding in a firm that has calculated the present value of a perpetual tax shield to be $300,000 if the tax rate is 35% and the debt carries a 10% rate of return?
$857,142.86
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Based on the IFE, if British interest rates exceed U.S. interest rates: a. the British inflation rate will decrease b. the forward rate of the British pound will contain a premium c. the British pound will appreciate against the dollar d. today's forward rate of the British pound will equal today's spot rate e. th...
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How do I evaluate the integral $\int_0^{\infty}\frac{\varepsilon \sin x}{\varepsilon^2+x^2}dx$?
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As of December 31, 2013, Warner Corporation reported the following: Dividends payable 34,000 Treasury stock 620,000 Paid-in capital share repurchase 34,000 Other paid-in capital accounts 6,200,000 Retained earnings 4,700,000 During 2014, half of the treasury stock was resold for $300,000; net income was $620,000; cas...
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What is the present-day price of a 30-year, $1,000 par value bond with a 9% annual coupon payment, given a market's required yield to maturity of 7%?
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An investor purchases a 4-year, zero-coupon bond with a face value of $100,000 and a yield to maturity of 10%. The investor sells the bond after receiving 2 years of cash flows, when market interest rates have dropped to 8%. What is the holding period return on the investment? a. 12.63% b. 16.69% c. 17.75% d. 21.37...
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A 25.0 mL sample of 0.100 M pyridine is titrated with 0.100 M hydrochloric acid. Calculate the pH after the addition of 30.0 mL of HCl.
2.04
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Which of the following is not a limitation of historical analyses for the purpose of forecasting future returns? A. There are no such limitations; historical data are perfect. B. The past is not necessarily indicative of the future. C. The length of historical data used in the analysis may be insufficient to provide...
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Angler Equipment Company's current stock price is $27.00, and its last dividend was $1.50. In view of the firm's strong financial position and its consequent low risk, its required rate of return is only 11%. If dividends are expected to grow at a constant rate, g, in the future, and if rs is expected to remain consta...
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Calculate the limit by making use of L'Hopital's Rule: {eq}\lim_{x\rightarrow \ 0} \frac{\tan{6x}-\tan{2x}}{\sin{3x}-\sin{x}}{/eq}
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Which of the following departments is typically not considered a producing department? a. Processing. b. Blending. c. Finishing. d. Special processing.
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Omega Company has the following two customers: Woodruff Ensley Sales $900,000 $800,000 Cost of Goods Sold 360,000 160,000 MSDA expenses excluding sales commissions 640,000 130,000 If the company pays a 2% sales commission based on revenue, this will encourage a salespersons' efforts to sell to: a. Woodruff, an unpr...
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Suppose the population over age 15 is 140 million, the participation rate is 60 percent, and the unemployment rate is 10 percent. If the number of discouraged workers increases by 2 million, the unemployment rate becomes: a) less than or equal to 7.7% b) more than 7.7% but less than 8.7% c) greater than or equal to ...
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Karenna Fifeman, a single taxpayer from Florida, purchased a piece of land on Marco Island for $4,000 as an investment back in 20X1. Earlier this year on January 14, 20X6, Karenna purchased $1,100 of stock as an investment. On June 5, 20X6, she donated the land and stock, with fair market values of $10,600 and $2,000 r...
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The following data was collected as part of a study of coffee consumption: Number of Cups per Day: 0, 1, 2, 3, 4 Frequency: 6, 8, 11, 10, 3 Calculate the average number of coffee cups per day, to two decimal places.
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Reyes Corp. sold equipment on December 31, 2016, for $50,000. The equipment originally cost $131,735 and had accumulated depreciation of $72,250 at the end of 2015. Depreciation on the machine during 2016 was $15,500. The estimated salvage value is $14,000. The effect of the sale on 2016 pretax income will be to: A. ...
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Mark is the manager of a local monopoly. In order to maximize profits, Mark is going to charge $7 per unit for his output, which is currently at 500 units. Competitors are expected to enter the market in the coming months. If this occurs, he is going to lower the price to $5 per unit. In the short-run, he will experien...
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The LRAC curve a. shows the minimum average cost of production for each level of output. b. is U-shaped because of economies and diseconomies of scale. c. corresponds to a particular plant size. d. shows the relationship between the average product of labor and the quantity of labor hired.
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Project 1 Probability Return Standard Deviation Beta 50% chance 22% 12% 1.1 50% chance - 4%. Project 2 Probability Return Standard Deviation Beta 30% chance 36% 19.5% 0.8 40% chance 10.5% 30% chance - 20%. Project 3 Probability Return Standard Deviation Beta 10% chance 28% 12% 2.0 70% chance 18% 20% chance - 8%. Ass...
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If you complete an out-of-state transaction (e.g., buying and selling securities) through an account in a domestic state, you: A. must be a resident of the state where you completed the transaction. B. must be a nonresident of the state where you completed the transaction. C. do not need to be a resident or nonresid...
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Consider the surface z = x^2 + y^2 and the curve C with the vector equation: \overrightarrow r(t) = (2 + t)\overrightarrow i + (2 - 3t)\overrightarrow j + (13 - 6t)\overrightarrow k Determine whether the curve C lies on the surface z = x^2 + y^2 and if so, find \frac{dz}{dt}.
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Which of the following will cause the IS curve to shift to the right? a. An increase in taxes. b. A decrease in government purchases. c. A decrease in investment. d. All of the above. e. None of the above.
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You run a regression of monthly returns of Stock A against monthly returns of Stock B and obtain the following result: RA=0.01+1.15RB You know that the variance of Stock A's return is 0.25 and that the variance of Stock B's return is 0.09. What is the standard covariance between returns of Stock A and Stock B?
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Economic value is determined by: a) the costs of producing a product or service. b) the selling price of a product or service. c) the brand identity of a product or service. d) consumer demand for a product or service.
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If new firms enter a monopolistically competitive market, the demand curve for the entire market will: A. shift to the left. B. shift to the right. C. remain unchanged. D. become kinked.
A
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Use a linear approximation (or differentials) to estimate the given number. {eq}\dfrac 1{1,003}
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What is the probability that a new sample of these 400 trees will give an average annual diameter growth of more than 5.2 inches, given that the diameter growth of trees in a specific geographical area is normally distributed with a mean of 3.1 inches and a standard deviation of 0.5 inches?
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The common stock of Global Corp. is selling for $40.00. The stock recently paid dividends of $3.20 per share and has a projected constant growth rate of 6.50%. If you purchase the stock at the market price, what is your expected rate of return?
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When the real interest rate decreases, the quantity of investment demanded: A) increases, and the IS curve becomes steeper. B) increases, and the IS curve becomes flatter. C) decreases, and the IS curve becomes steeper. D) decreases, and the IS curve becomes flatter.
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S Corporation had 100,000 shares of $5 par value common stock and 5,000 shares of $50 par value preferred stock (par value = market value) outstanding on January 1, 2013. During 2013, the corporation had the following transactions (listed in chronological order): - July 1 - declared a cash dividend of $10,000. - Nove...
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How do I calculate the conditional expectation of $S_3$ knowing $1=H$, given that the conditional expectation of $S_2$ knowing $1=H$ is $p*S_2(HH) + q*S_2(HT) = 0.5*16 + 0.5*4 = 10$ and the answer for $S_3$ is $12.50$?
12.5
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Annual purchase cost is included in the total cost in: A. the EOQ model. B. the economic production lot size model. C. the quantity discount model. D. all inventory models.
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Evaluate the double integral {eq}\iint_R x^2y\,dA, where R is the region bounded by the lines y = x, y = 0, and y + x = 2.
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A firm should stay in business as long as it earns A. lower costs than its competitors. B. more revenue than it pays for resources. C. a normal profit. D. a positive economic profit.
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