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The Grant Company reported the following income for 2014: Sales $146,000 Cost of goods sold $88,000 Gross margin $58,000 Selling and administrative expense $31,000 Operating income $27,000 Interest expense $6,600 Income before taxes $20,400 Income tax expense$6,120 Net income $14,280 What is the company's number of t...
c
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If the 95% confidence interval for the population mean does not include the null hypothesis value, then: a. the null hypothesis should be rejected at the 0.05 significance level. b. a 90% confidence interval will also not include the null hypothesis value. c. the null hypothesis should be rejected at the 0.10 signif...
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Assume a company has been maintaining a receivables factoring program for the past five years and has been experiencing the same level of sales, factoring, and bad debts over that period. Customers typically pay their receivables within 60 days. Which of the following is true with respect to the current period (all els...
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Use triple integral to find the volume of a solid in the 1st octant enclosed by z=y, y^2=x and x=1 and sketch the region.
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In 2011, Vinaitha Inc., paid out $31,000 of cash dividends. The company also had the following events during 2011: Issued $100,000 of stock for land. Paid $8,000 for one year of rent in advance. Recorded and paid employee wages of $20,000. Which of the following would be the effect on the financial statements of th...
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Suppose your company needs to raise {eq}\$28 {/eq} million and you want to issue 20-year bonds for this purpose. Assume the required return on your bond issue will be {eq}7 \% {/eq} and you are evaluating two issue alternatives: A semiannual coupon bond with a coupon rate of {eq}7 \% {/eq}, and a zero coupon bond. Y...
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How many terms of the series {eq}\displaystyle \sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{n^2} {/eq} do we need to add in order to find the sum to an accuracy of 0.003?
18
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Suppose the demand curve for a business firm is downward sloping. Which statement is true about elasticity ({eq}E_D {/eq}), marginal revenue (MR), and/or total revenue (TR)? a. In the elastic range of the demand curve, {eq}MR > 0 {/eq} when selling price is reduced. b. TR is constant along the length of the demand ...
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Which of the following statements is true? a) The journal is the book of original entry, and all the information needed to prepare financial statements is accumulated there. b) The ledger is the book of original entry, and the information accumulated in the journal is summarized there. c) The statement that the info...
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A company's equity multiplier is 5, its debt ratio is 0.40, and its profit margin is 9%. The company's ROE equals: A. 15.75%. B. 17.50%. C. 45.00%. D. none of the above.
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James's Joules, Inc., paid a dividend yesterday of $2.00 per share. James's dividends are expected to grow at 5% per year for the foreseeable future. James's stock price is $25.16 per share. What is the implied discount rate for James's stock?
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Convert the integral ∭_E 4xydV to cylindrical coordinates and evaluate it, where E is the solid between the cylinders x^2 + y^2 = 4 and x^2 + y^2 = 49.
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The standard costs and actual costs for direct labor for the manufacture of 2,500 units of product are as follows. Standard costs: 7,500 hours at $12.00 Actual costs: 7,400 hours at $11.40 The amount of the direct labor efficiency variance is: a. $1,140 favorable b. $1,140 unfavorable c. $1,200 favorable d. $1,2...
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Suppose we have an elliptic curve defined over a prime field 𝐹𝑝 where 𝑝 = 23. The base point is (19,21). Now an elliptic curve private key is 3, then what is the corresponding public key?
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The total cost of the capital that a firm uses depends on _____. A. the total amount of capital the firm uses and the cost of each type of capital. B. the type of capital the firm uses and the total cost of each type of capital. C. the proportion of each type of capital the firm uses and the cost of each type of cap...
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Let $P$ be a group of order $p$, on $S_p$. How can I prove that the cardinality of the normalizer of $P$ is $p(p-1)$?
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Conceptual Relativism makes what presupposition about external financial reporting? a. All conceptual frameworks are based on a human perspective and therefore are socially constructed. b. The financial statements are independent of the actual items they represent. c. The accountants' ability to make valid judgments...
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Is there another way to evaluate the limit $\lim_{x \to 0^+} (1 + 3x)^{-2/(3x^3)}$ without using L'Hopital's rule and recognizing it as an indeterminate form $0^0$?
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Find the absolute maximum value of {eq}f (x, y) = 6x^2 - 2x^3 + 3y^2 + 6xy{/eq} in the triangular region bounded by the coordinate axes and the line {eq}y = 1 - x{/eq}.
4
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Sgt. Pepper Company produces two models, PM and JL, using George, a new manufacturing process. Information regarding PM and JL is summarized in the following table: PM JL Price per unit $ 80 $ 60 Amount of George processing time required per unit 6 hours 2 hours George can only be used for 120 hours per wee...
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Buckette Co. owned 60% of Shuvelle Corp. and 40% of Tayle Corp., and Shuvelle owned 35% of Tayle. When Buckette prepared consolidated financial statements, it should include A. Shuvelle but not Tayle. B. Tayle but not Shuvelle. C. either Shuvelle or Tayle. D. Shuvelle and Tayle. E. neither Shuvelle nor Tayle.
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Marginal Cost always increases when: a) average cost increases. b) average cost decreases. c) average cost reaches a minimum. d) average cost is rising.
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A corporation made the following errors in recording its inventory: 1. Purchased merchandise costing $7,000 and recorded the following journal entries: Inventory $ 7,000 Accounts payable $ 7,000 2. Purchased merchandise costing $9,500 and recorded the following journal entries: Inventory $ 6,000 Accounts payable...
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You are an expert problem setter. First, in your private scratchpad, carefully design a brand-new, non-trivial reasoning problem. The subject may be drawn from any high-school or university discipline (mathematics, science, history, literature, social studies, etc.). The problem must be challenging enough that fewer ...
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Assume that Jones Company has an unadjusted balance in Merchandise Inventory of $100,000. Due to shrinkage, a physical inventory shows that Merchandise Inventory is actually $99,000. The journal entry to record the needed adjustment would be: a. Merchandise Inventory: 1,000 debit Cash: 1,000 credit b. Cash: 1,000 ...
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Mikkelson Corporation sold a used machine at a gain. The machine was not sold for its book value. If the use of the FVPL method is adopted, which of the following statements is correct? a. Assets increase; stockholders' equity is unchanged. b. Assets decrease; stockholders' equity decreases. c. Assets are unchanged;...
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Good Morning Company had a net income of $880,000. Depreciation expense is $90,000. During the year accounts receivable and inventory increased $60,000 and $140,000, respectively. Prepaid expenses and accounts payable decreased by $9,000 and $15,000, respectively. There was also a loss on the sale of equipment of $12,0...
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Suppose the price of XYZ stock declines to $40 and the dividend yield on XYZ stock is 3% and your return is the market return. How much is your stock now worth? Show your work.
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Leisure Lodge has 10 percent coupon bonds outstanding with a current market price of $988.52. The yield to maturity is 10.61 percent and the face value is $1,000. Interest is paid semiannually. How many years is it until this bond matures? a) 6 years b) 7 years c) 9 years d) 10 years e) 14 years
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How many times will you get heads if you flip 200 fair coins, each flipped 100 times? Why is the variance for the number of heads 200 in this case, and not 100, given that the variance of a Bernoulli distribution is $p(1-p)$ and $p=0.5$ for a fair coin?
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Forral Company has never paid a dividend. But, the company plans to start paying dividends in two years that is, at the end of Year 2. The first dividend is expected to equal $2 per share. The second dividend and every dividend thereafter are expected to grow at a 5% rate. If investors require a 15% rate of return to ...
17.39
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How to rigorously show that $$\frac{\sin(xh)-xh}{h}$$ tends to $0$ as $h$ tends to $0$ in order to complete the proof of the identity $$\frac{d}{dx}\int_{a}^{x}f(t)dt = f(x)$$ using the Fundamental Theorem of Calculus?
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An asset was purchased on 1/1/18 for $100,000 and is being depreciated straight line over 6 years. At the beginning of 2020, it was decided to dispose of this asset. The disposal will result in a: a. $66,667 loss. b. $33,333 gain. c. $33,333 loss. d. $33,333 gain and a $33,333 loss.
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ABC taxicabs has 120,000 shares of $100 par value common stock outstanding; the stock has a current market price of $26.40 per share. The expected dividend is $2.46; the growth rate is 4.0%; and the beta is 0.85. How can you use this information to estimate the cost of the common stock?
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An analyst has gathered the following data about two firms in the same industry: Firm A Firm B Equity beta 1.10 0.85 Long-term debt $30 million $50 million The market value of the firm's stock $300 million $300 million Risk-f...
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For the random variables {eq}X{/eq} and {eq}Y{/eq}, suppose that {eq}E(X) = 3, E(Y) = 2, Var(X) = 1, Var(Y) = 1{/eq}, and {eq}Cov(X,Y) = 0.5{/eq}. Determine {eq}E(3X + 4Y + 5){/eq}.
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What is the t-value for a right-tailed test with a sample size of 40 at the 95% confidence level?
1.685
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Stock A has an expected return of 10% and a beta of 1.3. If the risk-free rate is 2.5%, what is the market risk premium? Show your work.
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Comparative advantage describes a. how one country is more productive than another in all goods. b. how one country has a lower labor requirement for a particular good than another country's labor requirement. c. how one country can produce a good with a lower opportunity cost relative to other countries. d. one wa...
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When production capacity is slack, the company is likely to have a: A. minimal crisis of interference B. crisis of control C. crisis of conflict D. crisis of commitment E. crisis of communication
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Windsor Manufacturing Company purchased a new machine 5 years ago for $85,000. The machine was expected to have a useful life of 10 years with no salvage value. The straight-line method of depreciation has been used for the entire life of the machine. If the machine is sold now, for $55,000, the after-tax cash flow fr...
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Let {eq}\frac{dy}{dx}=5y(1-y) {/eq} with y(0)=0.2. Solve this equation using separation of variables. Then determine what happens to the population P in the long run. That is, find {eq}\lim_{t \rightarrow \infty}y(t) {/eq}
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Nano Seconds is expected to pay an annual dividend of $1.00 a share this coming year. After the dividend payment of $1.00, they are expected to increase their dividend by 50 percent per year for the following two years and then maintain a constant dividend growth rate of 4 percent per year. What is the value of this st...
19.34
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Suppose we have a three dimensional vector $X=(X_1, X_2, X_3)$ with the following properties: each $X_i$ is distributed $N(0, 1)$, $Cov(X_1, X_2) = \rho$ and $Cov(X_1, X_3) = Cov(X_2, X_3) = 0$, where $\rho$ is a constant between -1 and 1. Calculate $Cov(X_1, X_1 + X_2 + X_3)$.
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Aine would like to create a portfolio that is equally invested in a risk-free asset and two stocks. The one stock has a beta of 1.05. What does the beta of the second stock have to be if Aine wants the portfolio risk to equal that of the overall market?
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Job A3B was recently completed. The job cost sheet for the job contained the following data: Direct Materials $5,000 Direct Labor $800 Manufacturing Overhead $400 Compute the total cost of the job.
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Which of the following statements is false? a. An appropriate theory for solving limit problems is the Squeeze Theorem. b. It is always possible to find the limit of a function using the formal definition of limit. c. For any function, f(x), the limits of integration must be such that a < b. d. If a function is con...
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Why does the result of applying the chain rule for $\frac{\partial C}{\partial w_{12}}$ not match when starting from $C = \frac{1}{2}(y-a)^2$ and going through $\frac{\partial C}{\partial a} = (y-a)$, then $\frac{\partial a}{\partial z_2} = a(1-a)$, and finally $\frac{\partial z_2}{\partial w_{12}} = a_1$?
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Suppose that the demand for certain drugs is {eq}QN=100-P {/eq} in North America and {eq}QS=100a-P {/eq} in Sub-Saharan Africa where a is less than 1. Show that with marginal cost equal to 20 for such drugs, it must be the case that a is greater than 0.531 if the drug manufacturer is to serve both markets while char...
a > 0.531
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A company's budgeted annual interest expense is $27,750. Year-to-date, actual interest rates have fallen, and accrued interest now reflects $23,325. This will cause the difference between actual and budgeted cash flow from financing activities to be: a. higher by $4,425 b. lower by $23,325 c. higher by $23,325 d. l...
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Under the "marginal cost pricing" regulation, the deadweight loss from monopoly is _____, and the government must _____ the firm. A) reduced; subsidize B) eliminated; subsidize C) eliminated; tax D) increased; tax E) reduced; tax
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A government makes a grant of $50,000 to a nongovernmental not-for-profit organization. The organization uses the grant money to build a new facility. In doing so, the government should recognize a(n): a. increase in deferred outflow of resources. b. decrease in deferred outflow of resources. c. reduction in a contr...
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Consider a two-year, {eq}\$1,000 {/eq} bond that pays an 8% coupon. Assuming market interest rates stay constant, if you hold the bond for only six months, your six-month compound yield is: A. Less than 8% B. Equal to 8% C. Equal to the six-month treasury bill rate D. Greater than 8% E. Impossible to determine wi...
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The following information is available: Risk-free rate of return, 9% Expected market rate of return, 12% Beta of investor's portfolio, 1.2 Standard deviation of investor's portfolio, 18% The expected return on the investor's portfolio is: a) 8.8% b) 11.2% c) 12.6% d) 21%
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Batworthy Corp. made a sale on account for $8,700 with the following terms: 2/15, n/30 on June 12. If the company uses the gross method to record credit sales, which of the following would be included in the journal entry to record a payment on June 25? a. A credit to Accounts Receivable for $8,874. b. A debit to Cas...
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What IQ scores bound the middle 95% of the distribution, assuming IQ scores are normally distributed with a mean of 100 and a standard deviation of 15?
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At the end of the accounting period, before adjusting and closing all the accounts, retained earnings will equal: a) assets plus liabilities b) revenue less expenses c) revenues less expenses less dividends d) revenues minus expenses plus investments by owners
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During a spontaneous chemical reaction, it is found that {eq}S_{sys} < 0 {/eq}. This means: a) {eq}S_{surr} < 0 {/eq} and its magnitude is {eq}< S_{sys} {/eq}. b) {eq}S_{surr} < 0 {/eq} and its magnitude is {eq}>S_{sys} {/eq}. c) {eq}S_{surr} > 0 {/eq} and its magnitude is {eq}< S_{sys} {/eq}. d) {e...
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A company has net income of $196,000, depreciation expense of $35,000, and taxes of $21,000. During the year, accounts receivable and inventory increased $46,000 and $19,000, respectively. Prepaid expenses and accounts payable decreased by $8,000 and $12,000, respectively. There was also a loss on the sale of equipment...
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How many units should be sampled to construct a 99% confidence interval estimate for the population mean time to complete an employment test, given that the standard deviation is known to be 25 minutes and a 4-minute margin of error is desired?
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Security A has expected return of 14% and beta of 1.60. Security B has expected return of 10% and beta of 0.80. What would the risk-free rate have to be for the two stocks to be correctly priced relative to each other?
6%
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When economic profits are negative, accounting profits: a. will be negative b. will equal zero c. must be positive d. could be positive, negative, or zero
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A company is considering a new project with estimated depreciation of $58,000, fixed costs of $64,000, and total sales of $143,000. The variable costs per unit are estimated at $16.90. What is the accounting break-even level of production? (Round the answer to the nearest whole number.) a) 1,000 units b) 1,200 units ...
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You have 32 years to save for retirement. Currently, you invest $5,000 a year at 7% interest compounded annually. How much more will you have in your retirement account at 50% compared to investing $10,000 a year at 8% interest compounded annually? Select one: a. $66,384 b. $258,993 c. $311,402 d. $787,149 e. $83...
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Consider a single-product firm with a unique cost function in which the average cost is constant along its minimum efficient scale. Given this information, which of the following statements is true? A) The firm will always operate in the long-run (LR) disequilibrium. B) The firm may experience LR equilibrium at any q...
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Kiss the Sky Enterprises has bonds outstanding with 8 years of maturity and an 8.00% coupon rate paid semiannually. The bond has a par value of $1,000 and a market price of $934.14. Interest is paid semiannually. What is the yield to maturity (YTM) for the bond? 9.01% 6.18% 4.28% 5.13%
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What tends to be the relationship between the prime rate and the federal funds rate in the United States? a. The prime rate tends to be one percentage point higher than the federal funds rate. b. The prime rate tends to be three percentage points higher than the federal funds rate. c. The prime rate tends to be one ...
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Today, you borrowed $20,000 on your credit card to purchase some furniture. The Interest rate is 24.80%, compounds monthly. How long will it take you to pay of this debt assuming that you don't charge anything else and make regular monthly payments of $12007? A. 1.72 years B. 4.24 years C. 11.77 years D. 20.22 year...
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Compute the Taylor series of f(x) = x^4 e^x at x = 0 up to x^5. How many terms in the series should be computed in order to approximate f(0.3) accurate to three decimal places?
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A personal computer that is being retired has four memory slots in the mother board, each of which was made by a different manufacturer: A, B, C, or D. When a customer purchases a new motherboard for the personal computer, all four slots will be replaced with new, identical memory slots. If there is a defect in a parti...
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A machine is used to fill boxes with canned candies. The target weight is 12 ounces, and the standard deviation is 0.1 ounces. A simple random sample of 25 boxes is to be obtained. What is the probability that the average weight of these 25 boxes is less than 11.8 ounces?
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When the greatest common divisor of two numbers is computed, how many times will the number of iterations performed depend on the number of iterations, and what is the relationship between these two quantities?
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Evaluate {eq}\iiint_E \sqrt{x^2+y^2}dv{/eq}, where E is the region that lies inside the cylinder {eq}x^2+y^2=1{/eq} and between the planes z=2 and z=10.
16\pi/3
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Currently, total government expenditures in the United States is approximately a. 37 percent of GDP. b. 50 percent of GDP. c. 75 percent of GDP. d. 80 percent of GDP.
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Assume the population mean is $80,000, the sample mean is $72,000, the sample standard deviation is $6,000, and the sample size is 36. Test the hypothesis that the mean is at least $75,000 at the 5% significance level.
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M1 equals: a) demand deposits b) checking accounts only c) demand deposits and other checkable deposits d) only non-personal time deposits
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The key step in the generation of "safe" (replication-incompetent) viral particles for gene therapy is the A. creation of site-specific mutations in viral genes. B. provision of viral genes on a Y- (psi-) DNA. C. use of a packaging cell line that is not immortalized. D. deletion of the viral reverse transcriptase g...
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Consider a t distribution with 14 degrees of freedom. Find the value of c such that P(-c<t<c) = 0.98. Round your answer to at least three decimal places.
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Suppose investment tax credits and investment tax deductions are decreased. Other things equal, this tends to cause, A. the private sector quantity of loanable funds exchanged to fall and the long-term real interest rate to fall B. the private sector quantity of loanable funds exchanged to fall and the long term real...
A
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How many five-digit numbers have at least one 7, one 8, and one 9?
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All else held constant, the price of a stock _______ when the stock's dividend yield is increased and _____ when the stock's growth rate is increased. A. increases, increases B. increases, decreases C. decreases, increases D. decreases, decreases
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Suppose that the market for a good is initially in long-run equilibrium. Further suppose that there is an increase in demand that persists in the long-run. Compared to the initial equilibrium, in the new long-run equilibrium: a. Price is higher, and each of the firms in the market is producing a greater amount of outp...
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The company can rent space to additional customers for $2,100 per month. The additional sales from the extra space are estimated at $18,000 per month. The company is considering the additional rental of space. What is the incremental income from this decision? a) $1,900 b) $2,100 c) $5,900 d) $18,000
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You are considering opening a firm that manufactures leather purses. Your success depends largely on finding consumers who are willing to pay $1000 or more for a purse. The number of such consumers in your target market is estimated at 10,000. If you can produce purses at $500 each, what is the smallest number of purse...
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Which of the following is not a technical barrier to entry in a monopolized market? a. A patent, b. Decreasing the average cost, c. A low-cost method of production known only to the monopolist, d. Increasing returns to scale.
b
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With positive prices, a monopolist cannot make a profit if: a. marginal cost is always greater than marginal revenue. b. total revenue is always greater than total cost. c. marginal cost is always greater than average cost. d. price is always greater than average cost. e. marginal revenue is always greater than ma...
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Suppose the U.S. dollar exchange rate is 109 Japanese yen, U.S. nominal GDP is $12 trillion, and Japanese nominal GDP is 10 trillion yen. Also suppose the U.S. CPI is 120 and the Japanese CPI is 100. In this case, the real exchange rate is about how many yen per U.S. dollar? 100 yen 109 yen 110 yen 120 yen
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A monopolist will choose to produce the quantity of output at which marginal revenue equals marginal cost because doing so will maximize: a. profit. b. marginal revenue. c. marginal cost. d. total revenue minus total cost. e. total revenue.
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Which of the following situations best characterizes the agency costs associated with diverse ownership? a. Managers have incentives to substitute low-risk projects for high-risk project. b. Managers have incentives to reduce the dividend payout ratio in order to accelerate debt repayment. c. Managers that own share...
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Suppose $X_1, X_2, \dots, X_n$ are i.i.d. standard normal random variables. Prove that $$\frac{X_1X_2 + X_2X_3 + X_3X_4 + \cdots + X_{n−1}X_n}{n}$$ converges in probability to 0.
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The vertical long-run aggregate supply curve indicates that: a. outputs greater than the long-run supply constraint cannot ever be achieved. b. an increase in output prices will not expand an economy's output capacity once people have adapted to the higher price level. c. in the long run, inflationary policies canno...
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Given that all inputs to a firm are variable and that the production function exhibits diminishing marginal rates of technical substitution (MRTS), it can be concluded that a. the marginal cost curve will be upward sloping. b. the marginal cost curve will be downward sloping. c. the total cost curve will be upward s...
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What is the required sample size to compute an interval estimate with 95% confidence for the mean time to complete an employment test, assuming a population standard deviation of four hours and an error of less than a half-hour?
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How much (in 1000) should Alpha raise the selling price of its standard product next year? Assume demand is unchanged. Round answer to nearest thousand. Do not use decimals. Alpha company expects to sell 25,000 units of its product next year. Production and sales data for the current year are shown below: Sales (60,00...
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What is $$ \lim_{x \to \infty} 4e^{x/3} $$
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Goods held on consignment should be: A. included in the consignor's inventory. B. excluded from the consignor's inventory. C. included in the consignee's inventory. D. reported in the notes to the financial statements.
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How do I construct the correct minimal free resolution of $S(X)$ to compute the Hilbert polynomial of the twisted cubic, given $I(X) = (XZ-Y^2,YW-Z^2,XW-YZ)$ and $S(X) = S/I(X)$, where $S = k[X,Y,Z,W]$? I am getting the wrong Hilbert polynomial $h_X(m)=8$ instead of the expected $h_X(m) = 3m+1$. What are the correct re...
$h_X(m) = 3m+1$
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What is the probability that the sample mean will be greater than $52,100, assuming a sample size of 30, given a population of 2,500 managers with a population mean salary of $51,800 and a standard deviation of $4,000?
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Jarvis Company acquired an 80% interest in the stock of New Horizons Corporation on January 1, 2012, for $520,000. The net assets of New Horizons on that date were as follows: Cash - $140,000 Land - 360,000 Buildings - 700,000 Inventory - 100,000 The buildings have a 20-year life and the inventory was undervalued ...
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ABC purchased inventory for $450 on account under a perpetual inventory system. Which of the following is true? a. Debit Inventory $450; credit Accounts Payable $450 b. No entry is required for the cost of goods purchased c. Debit Accounts Payable $450; credit Inventory $450 d. Debit Cost of Goods Purchased $450; c...
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