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Where does the plane tangent to z = e^{(x - y)} at (6, 6, 1) meet the z-axis?
(0,0,1)
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A random sample of {eq}n = 100{/eq} measurements was selected from a population with unknown mean {eq}\mu{/eq} and standard deviation {eq}\sigma = 20{/eq}. Calculate the probability that the error in estimating {eq}\mu{/eq} will be less than 3. That is, calculate the probability that {eq}\overline{x} - 3 < \mu < \overl...
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Domino Sugar Company is considering buying Fisher Honey Company for $100 million. Based on information obtained from 500 supermarkets around the country, when the price of 1 lb. of Domino Sugar went on sale from $2.00 to $1.50, the average number of 1 lb. boxes of sugar rose from 200 boxes in a week to 300 boxes. The f...
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When selecting a process improvement approach that will focus on the most important issues, the best choice is to use the: A) Flowchart method. B) Pareto Analysis. C) DPMO. D) SIPOC.
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What comparison must be made to determine the cause of behavior change in learning experiments? a. a comparison between data from observational and experimental studies b. a comparison between behavior before and behavior after learning takes place c. a comparison between behavior of subjects who have received a tra...
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ABC Company paid a dividend yesterday of $0.40 per share. ABC Company's dividend is expected to grow at 18% per year for three years and then 3% per year after that. The expected return on ABC Company stock is 9%. What is the current value of a share of ABC Company stock?
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If the Federal Reserve decided to include virtual money like Bitcoins in its measure of the money? supply, what would be the effect on M1 or? M2? A. M1 would fall. B. M1 would rise and M2 would remain constant. C. M2 would rise but M1 would remain constant. D. M1 would rise.
D
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How does depreciation affect the calculation of a project's payback period? A. Depreciation is added to the annual cash inflows. B. Depreciation is only deducted if the payback period exceeds five years. C. Depreciation does not affect the payback calculation. D. Depreciation is deducted from the annual cash inflow...
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Here are some statistics obtained from a study in which 48 students were randomly assigned to one of four treatments: a new course in statistics (A), a new course in statistics with new software (B), a current course in statistics (C), and a current course in statistics with new software (D). The response variable was ...
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Suppose the risk-free return is 7.6%, and the market portfolio has an expected return of 10.5% and a standard deviation of 16%. Johnson & Johnson Corporation stock has a beta of 0.29. What is its expected return? (Round to two decimal places.)
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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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Tanner is choosing between two investment options. He can invest $500 now and get (guaranteed) $550 in one year, or invest $500 now and get (guaranteed) $531.40 back later today. The risk-free rate is 3.5%. Which investment should Tanner prefer? a. $550 in one year since it is $50 more than he invested rather than $3...
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Assume a reserve requirement of 25%. If a bank has zero excess reserves and $100,000 in total cash reserves, then its deposits must equal: a. $100,000. b. $250,000. c. $400,000. d. $25,000. e. $750,000.
c
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Assume that the price level and the nominal interest rate are fixed. The real interest rate will: a. increase if the money stock increases, due to an open market sale of government securities by the Fed. b. decrease if the money stock increases, due to an open market sale of government securities by the Fed. c. rema...
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The appropriate firm for comparison purposes when using the P/E ratio valuation method is: a) the firm with the highest P/E ratio in its industry. b) the firm with the lowest P/E ratio in its industry. c) the firm with the highest market value of equity in its industry. d) a firm with a P/E ratio close to that of t...
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The Fed conducts open-market _____ of government securities to _____ the money supply. a. sales; increase b. sales; decrease c. purchases; increase d. None of the above is correct. e. Both b and c are correct.
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Which of the following is not a criterion for a long-run competitive equilibrium? A. {eq}MR=MC {/eq} for each firm. B. {eq}P=MC {/eq}. C. None of the firms are incurring economic losses. D. All of the above are criteria for a long-run competitive equilibrium.
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Departmental income statements provide management with information necessary for decision-making. Which of the following is not a decision made possible by these statements? a. Which departments to expand b. Where improvements in the profitable departments are needed c. What base to use to allocate costs d. Whethe...
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Compared to the B2C(business to customer) process, the information search and alternative evaluation steps in the B2B(business to business) process are more: A. Decentralized B. Emotional C. Informal D. Objective
D
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Find the fundamental solution for the differential equation y'' + 4y = 0 by assuming a solution of the form e^{st} and applying the Fundamental Theorem of Algebra to the characteristic equation.
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The sales mix percentages for Gloucester's Boston and Worcester Divisions are 60% and 40%, respectively. The contribution margin ratios are 70% for Boston and 50% for Worcester. Fixed costs are $240,000. What is Gloucester's break-even point in dollars?
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Assume that a business had 800 units of merchandise inventory on hand on January 1, 20xx, with an associated per-unit cost of $25. During 20xx, 4,000 units were purchased at a cost of $26 per unit and 3,200 units were purchased at a cost of $27 per unit. Further, 4,500 units were sold at a price of $65 per unit. Requi...
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Let $X_i$ for $i=1,2, \ldots ,n$ be a sequence of independent and identically distributed random variables, each of which has a density given by $$f(x;\theta)=e^{-(x-\theta)} ,\text{ } x>\theta \text{ , } \theta\in \Theta=(0, \infty)$$ and zero otherwise. We have to find a uniformly most powerful test of size $\alpha=0...
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We believe that a person is motivated by external causes if: a) other people do not act like this, the person behaves consistently like this, and the person acts the same in other situations. b) other people act like this, the person does not behave consistently like this, and the person acts the same in other situat...
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A coupon bond that pays interest of 4% annually has a par value of $1,000, matures in 5 years, and is selling today at $785. The actual yield to maturity on this bond is a) 0.2% b) 8.8% c) 9.1% d) 9.6%
c
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At a particular time in an experiment, the number of radioactive decay particles observed in a piece of the material was 295, 315, 325, 340, and 330. What is the average number of decays observed during the period of the experiment with a 68 percent confidence level?
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Which of the following are not typically included in the financial statements of not-for-profit entities? a. Balance sheet b. Statement of functional expenses c. Statement of functional expenses d. Statement of functional expenses e. Statement of functional expenses f. Statement of functional expenses
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Dewey Cheatem deposited $18,500 into a savings account. This savings account pays 14% annual interest compounded quarterly. Beginning a year from now and continuing in perpetuity, equal annual withdrawals are to be made. What is the maximum amount Dewey can withdraw at the end of each year? a. $1,968 b. $2,309 c. $2...
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How many randomly chosen trial lawyers should a lawyer expect to interview until finding one willing to take the case, given that 85% of recently employed lawyers are not willing to take cases on contingency (with a flat fee retainer)? Select the correct choice below and, if necessary, fill in the answer box to comple...
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The supply curve for a product might shift in response to a change in: a. demand. b. government regulation. c. price. d. All of these.
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Madsen Company reported the following information for 2012: Sales revenue $1,530,000 Cost of goods sold 1,050,000 Operating expenses 165,000 Unrealized holding gain on available-for-sale securities 120,000 Cash dividends received on the securities 6,000 For 2012, Madsen would report other comprehensive income of: a)...
c
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A dividend grows from $1 in year 1, to $1.02 in year 2, to $1.0404 in year 3, and is expected to continue the same rate of growth forever. The required return on the stock is 8%. What is the price of the stock today?
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Scribble, Inc., a newly formed company, has two equal amounts of earnings, and it is considering two alternative investment plans. Plan A requires a $28 million cash outlay for a patent, and annual cash inflows of $5 million. Plan B requires a $15 million cash outlay for plant and equipment, and annual cash inflows of ...
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A change in accounting principle is not allowed unless: a. The change is made in the interest of faithful representation. b. The prior accounting principle is obsolete. c. Management of the company decides to change the accounting principle. d. A change in accounting principle will have a material effect on the financi...
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The next day, the investment manager says that he meant that the probability of a positive return is 72% (without using a particular number for the portfolio return). He adds, "The current portfolio standard deviation is 18%," and he then calculates the portfolio return as an outlier value that is only 1% likely. Calcu...
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By what signal transduction mechanism does insulin exert its effects on target tissues? a. Enzyme-linked receptors. b. Altered transcription of mRNA. c. G-protein coupled receptors. d. Channel-linked receptors.
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Can I apply Leibniz rule to differentiate $\frac{d}{d\gamma} \int_0^\gamma (\gamma-s)dF(s)$ even if $F$ has mass points, where $F$ is a CDF?
F(\gamma) - F(0)
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Calculate the work done by the force field {eq}\displaystyle F(x,y)= \left ( \frac{xy}{x^2+y^2}\right )i + \left ( \frac{-x^2}{x^2+y^2}\right )j{/eq} along the triangular path formed by the lines y = 0, y = x, and x = 1, using the line integral {eq}\displaystyle \int_C F\cdot dr = \int_a^b F(r(t))\cdot r'(t) dt{/eq} wh...
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The graph of {eq}f(x) = \tan(x) {/eq} on the interval {eq}[- \frac {\pi}{2}, \frac {\pi}{2}] {/eq} has a vertical tangent at {eq}x = 0 {/eq}. The function is otherwise smooth and invertible. The graph of {eq}y = f^{-1}(x) {/eq} has A. No vertical tangent at {eq}x = 0 {/eq}. B. A vertical tangent at {eq}x = 0 {...
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Assume the first payment of $2,500 is made on January 1, 2014. If all payments are made at the beginning of the year, how much will be in the fund on January 1, 2018, one year after the final payment? Interest is 8% compounded annually. The fund is set up as follows: January 1, 2014 First payment of $...
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According to the basic welfare theorem of classical economics, which of the following best describes the requirement for the efficient operation of a market? a. Markets must be perfectly competitive. b. The government must subsidize certain goods and services. c. Markets must be characterized by a first-degree price...
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A firm has net working capital of $571, net fixed assets of $2,253, sales of $6,960, and current liabilities of $869. How many dollars worth of sales are generated from every dollar of fixed assets?
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For the past five years, the price of Microprocessors, Inc. stock has been increasing at a rate of 9 percent a year. Currently, the stock is priced at $56 a share and has a required return of 13 percent. What is the dividend yield?
4%
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An analyst gathered the following information for Stock X and Stock Y. Dividend expected at time = 1 $2.25 $4.00 Beta 1.40 1.20 Risk-free rate 3% 3% Expected return on market portfolio 10% 10% Which of the following s...
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Your company's marginal cost for its latest new product is C'(x) = 300 - 0.06x. Find the additional cost incurred in dollars when production is increased from 50 to 150 units.
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Evaluate {eq}\int_C \vec F \cdot dr, \ where \ \vec F(x,y)=\left \langle 3y,x \right \rangle and C is the circle {eq}x^2 + y^2 = 4 oriented counterclockwise.
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The _____ design approach creates functional departments, such as production, marketing, and accounting, that work together on a project. a. functional b. divisional c. matrix d. none of the above
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Evaluate the line integral of the vector field F = xi + yj + zk over the helix x = cos (2t), y = sin (2t), z = t, for {eq}0 \leq t \leq 2\pi{/eq}.
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Which of the following is NOT a typical BOP transaction? A) Toyota USA is a US distributor of automobiles manufactured in Japan by its parent company. B) The US subsidiary of credit Suisse pays dividends to its parent company in Zurich. C) A US tourist purchases gifts at a museum in London. D) All are examples of B...
D
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You are considering two mutually exclusive projects with the following cash flows: Initial $(7,500) $(6,000) Investment Year 1 7,000 1,000 Year 2 1,000 1,000 Year 3 1,000 1,000 Year 4 1,000 1,000 Year 5 1,000 7,000 Compute the crossover rate between the two projects. a. -5.2% b. 0% c. 8.2% d. 16.7% e. 24.1%
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Assume that the bases are normal. There is a normal deduction for interest on Canadian and foreign corporate debt. The interest is normally included in the cost of the related debt or is charged to expense when accrued. The interest on capital stock is expensed when accrued. The interest on capital stock is not deducti...
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I need some help evaluating this integral. I know it's related to Fourier series but I haven't yet learned what the $U_k$ and $V_k$ terms are. I'm hoping that's all I don't understand and that the integral isn't too bad. $$\int_0^{2\pi} e^{-in\theta}\frac{1}{2\pi}\int_0^{2\pi}e^{in\theta}(1+cos\theta) d\theta d\phi$$
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An analyst has gathered the following information about Galaxy Systems. (1) The expected return on the market portfolio is 10%. (2) The risk-free rate is 3%. (3) Galaxy Systems' stock has a beta of 1.4. (4) The standard deviation of the return on Galaxy Systems' stock is 8%. (5) The standard deviation of the retur...
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A diffraction grating has 3500 rulings/cm. On a screen 3.00 m from the grating, it is found that for a particular order {eq}m{/eq}, the maxima corresponding to two closely-spaced wavelengths of sodium (589.0 nm and 589.6 nm) are separated by 0.67 mm. Determine the value of {eq}m{/eq}.
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A proposed project has a positive NPV when evaluated at the company cost of capital. If the firm employs debt in its capital structure, will the project remain acceptable after evaluation with the WACC? A. Yes, using the WACC will increase the NPV B. No, using WACC will decrease the NPV C. The project may now become...
A
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1. What is the effect of a contract when one party to the contract has made a mistake? A. The contract is valid unless the party can show to the court that the mistake was not due to his own lack of care B. The contract is void as the party did not make the contract willingly C. The contract is void as it is unfair ...
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Jenny, whose 2012 AGI was $60,000, discovered that she failed to include in gross income $15,000 of the fair market value of a down payment she received on a 2012 purchase of apartment building stock. To avoid a penalty for underpayment of estimated tax, what minimum amount of additional tax must she pay in 2013? a) ...
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ABC sold inventory for $750 that was purchased for $300. ABC records which of the following when it sells inventory using a periodic inventory system? a. No entry is required for the cost of goods sold and inventory. b. Debit cost of goods sold $300; credit inventory $300. c. Debit inventory $750; credit cost of goo...
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Suppose that the average number of accidents requiring medical treatment at a burn center is 3.1 per day. What is the probability of observing 5 accidents in a given day at the burn center?
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Over-the-wall syndrome refers to the difficulties that arise when _____ . A) different types of engineers work in totally different departments B) firms integrate financial, planning, and control systems into a single architecture C) translating customer requirements into functional design D) environmental issues b...
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Douglas Corporation had 143,640 shares of stock outstanding on January 1, 2014. On May 1, 2014, Douglas issued 66,240 shares. On July 1, Douglas purchased 13,560 treasury shares, which were reissued on October 1. Compute Douglas's weighted-average number of shares outstanding for 2014.
184,410
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During the mid-1930s, most economists and policymakers accepted Keynes's explanation for the Great Depression. They did not accept his explanation for the : a. benefits of fiscal and monetary policies. b. ability of the multiplier to offset leakages. c. effects of the unemployment tax. d. trade-off between unemploy...
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What is the probability that the mean number of hours worked in a week by 50 randomly chosen research scientists is greater than 61 hours, given that the mean number of hours worked per week by biologists and other life sciences researchers is 42 hours with a standard deviation of 16 hours?
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Assume that the Rothschild index in the petroleum market is 0.15 and the price-elasticity of demand for a typical retail outlet's supply is -0.55. A 10% increase in the price of crude oil will result in a _____ percentage change in the retail price of gas. -0.55% -5.5% -7.7% 3.67% 7.7%
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The next four dividends paid by Darden's stock are expected to be $2.50, $3.00, $3.25 and $3.75, after which time the company is expected to begin paying a constant dividend of $2.80. The required rate of return on Darden's stock is 12%. Determine the price of the stock today.
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Find the after-tax cost of capital for a firm that has $800,000 total equity, $100,000 of which is in preferred stock paying a 6% annual dividend, and $700,000 of which is common stock. Assume the cost of equity is 10%, the cost of preferred is 6%, and the firm is in the 35% marginal tax rate.
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During the past tax year, Jane identified $50,000 as a nonbusiness bad debt. In that tax year, Jane had $100,000 of taxable income, of which $5,000 consisted of short-term capital gains. During the current tax year, Jane collected $10,000 of the amount she had previously identified as a bad debt. Determine Jane's tax t...
$10000
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If $n\in \mathbb{N}$ and $x\in \mathbb{R}$, show that $$\lfloor\frac{\lfloor x \rfloor}{n}\rfloor=\Big\lfloor \frac{x}{n}\Big\rfloor.$$ Where $\lfloor . \rfloor$ is the greatest integer function.
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I would like to account for discounting while solving the following problem using the Weighted Average Cost of Capital Method, but I do not know what the weight should be. Should it be the WACC of the borrowing firm or the WACC of the acquiree? Bought&Dresd is considering the acquisition of Capital Waste Solutions for...
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What is the internal rate of return (IRR) for a project that has an initial outlay of $12,670, and then produces cash inflows of $6,500 in year 1, $6,900 in year 2, and $2,400 in year 3? 9% 6% 12% 8%
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Evaluate {eq}\int_C \cos z dz, where {eq}C: 3x^2 + 2y^2 = 6 {/eq} counterclockwise.
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The total number of hours worked by an employee and the number of units they produce is called: A. Total Hours B. Lost Time C. Lost Capacity D. Work-In-Process
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A(n) _____ team is the group of founders, key employees, and advisers that either manage or help manage a new business in its startup years. A) opening B) entrepreneurial C) scout D) launch E) new venture
E
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Which of the following statements is correct? a) The expected return on a stock that has a beta of zero is zero. b) Stock A's return during the most recent year was -15% and Stock B's return was +15%. Thus, if a portfolio of Stock A and Stock B was held for a year, the portfolio would yield a return of 0%. c) If a s...
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In the short run, a firm will not experience a. decreasing returns to scale. b. diminishing marginal product. c. economies of scope. d. increasing average fixed cost.
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If Y has a Poisson distribution with parameter λ, what is the value of Var(2Y + 1)?
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If sales and prices increase by the same percentage, then: a. demand must be elastic. b. demand must be perfectly inelastic. c. demand must be unit elastic. d. It is not possible to say anything about elasticity of demand without more information.
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How large a sample is necessary to ensure that the margin of error is less than 5% when the population proportion is 0.40 and the confidence level is 95%?
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What is the error in my calculation of $\int_{1/3}^3 \frac{\sqrt{x}}{x^2+x} dx$, where I used the substitutions $u = \sqrt{x}$ and $u = \tan v$ to get $2\ln \left( \frac{\sqrt{3}}{2}\right)-2\ln(1/2)$?
\frac{\pi}{3}
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Drew Industries provides the following information for 2015: Total Units produced and sold 34,000 units Direct labor hours worked 27,000 hours Machine hours 30,000 hours Variable manufacturing overhead costs $108,000 Fixed manufacturing overhead costs $218,000 Variable selling and administrative expenses ...
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Which of the following pricing strategies is most likely to lead to long-term financial sustainability? A) Full cost B) Marginal cost C) Direct cost D) Indirect cost E) Variable cost
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Partners report the following information for the current year: Standard Company Contribution 47,000 Return to Partners 7,000 Drawings 8,000 Average capital balance 100,000. Net income was $69,000. The income and losses are divided in proportion to each partner's average capital balance. What is Standard Company's curr...
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Suppose a U.S. firm includes $100 million worth of British assets in its balance sheet. If the $ appreciated from £0.50 per pound to $1.00 per pound, the U.S. balance sheet will reflect: A. a reduction in liabilities of $200 million. B. an increase in assets of $200 million. C. an increase in assets of $100 million....
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A monopolist faces the inverse demand curve {eq}P = 60 - Q {/eq}. If its marginal costs are 10 + Q, how much is the monopoly profit? a. 512.5 b. 450 c. 125 d. 400 e. none of the above
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How many years will it take to reach $260,000 if you have $33,204.35 in a brokerage account, plan to deposit an additional $5,000 at the end of every future year, and expect to earn 11% annually on the account?
13
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You are analyzing the potential success of a new product launch. In your market analysis, you find that the following distribution best represents the demand for your product: Probability $1,000,000 0.2 $800,000 0.5 $400,000 0.2 $200,000 ...
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Which of the following would probably be included in the statement of cost of goods manufactured? A) Direct materials B) Depreciation expense - Factory C) Factory utilities D) Factory property tax E) All of these
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Stokely Cokes, Inc., has found a ready market for its plastic soft drink containers in the West Coast area, and the marketing department has developed the sales function p(x, y) = 5000 - 32x^2 - 13y^2, where p is the price in dollars at which x million units of aluminum containers and y million units of plastic contain...
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Loyalty Rewards Inc. makes its awards to customers based on estimated annual purchases. In the current year, the estimated purchases were $720,000 and 20,000 awards were given with each award estimated to be worth $25. Actual purchases in the current year were $690,000 and the actual value of the awards given was $500,...
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Assume the average firm in Zionland has a debt-to-equity ratio of 0.40. Under MM with corporate taxes, what would happen to the value of the firm if the corporate tax rate increased from 21% to 30%?
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If \(F (x,y,z)=2z^3-3(x^2+y^2)z\), then is \(F_{xx} +F_{yy}+F_{zz}=0\)?
0
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A factory sold a 3-year-old machine for $10,000 cash. The machine had originally cost the factory $60,000. It had accumulated depreciation of $43,500. What is the amount and nature of the gain or loss on the sale? a. $16,500 loss on sale b. $10,000 loss on sale c. $16,500 gain on sale d. $10,000 gain on sale e. no...
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At the beginning of the year, Debida, Inc. purchased a piece of machinery with a 5-year life and no residual value. This machinery is being depreciated using the straight-line method for financial reporting purposes. It will be sold for its book value at the end of the year. For tax purposes, the machinery is being dep...
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A consignor included merchandise in the hands of the consignee in ending inventory. a. Net income for the current year will be overstated. b. Net income for the current year will be understated. c. Net income for the current year will not be affected. d. None of the above
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With 98% confidence, sample proportion 0.78, and sample size 20, what is the lower confidence limit?
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The following are Silver Corporation's unit costs of making and selling an item at a volume of 9,800 units per month (which represents the company's capacity): manufacturing: Direct materials $2.10 Direct labor $4.10 Variable overhead $2.60 Fixed overhead $0.85 Selling and administrative: Variable $3.60 Fixed $...
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A population is normally distributed, with a mean of 23.45 and a standard deviation of 3.8. What is the probability of taking a sample of size 10 and obtaining a sample mean of 22 or more?
0.8869
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Assuming that the company desires to keep as much money as possible on hand (i.e., wants to minimize disbursements), the best option would be to: A) Buy the new machine as it has the lowest EUAC = $106,982 B) keep the old machine as it has the lowest EUAC = $110,968 C) Hire an outside contractor as it has the lowest...
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In a plant-to-plant movement, valuation occurs at: a) Goods issue and the valuation price of the issuing plant. b) Goods receipt and the valuation price of the issuing plant. c) Goods issue and the valuation price of the receiving plant. d) Goods receipt and the average price of the receiving plant.
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Which one of these will increase the cost of equity, all else held constant? a. A decrease in the dividend growth rate b. A decrease in the beta of the stock c. A decrease in the risk-free rate d. An increase in the equity market's risk premium e. An increase in the risk level of the firm
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