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How many customers should a manager survey in order to be 99% confident that the sample proportion is within 10 percentage points of the true population of customers who are males?
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If it is found that the demand for a product is inelastic (Ed < 1), then: a. a one percent increase in price will cause an increase in total revenues. b. the demand for that product will be relatively steep. c. a one percent decrease in price will cause an increase in total revenues. d. a one percent increase in pr...
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Consider the following regression equation: {eq}Q_d = 460 - 10P + 12I + 8A, {/eq} where Q_d is quantity demanded, P is price, I is income, and A is advertising expenditures. The coefficient of I estimates the: a. effect on demand of a $1 increase in income, holding price and advertising expenditures constant. b. ...
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Simplify $A'B' + B'C' + A'BC'+ A'B'C'+ A'BC + B'C$
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On July 10, 2005, Dole Industries had the following inventory transactions: Units Cost per Unit Feb 1, 2005 Purchase 54 $45 Mar 14, 2005 Purchase 93 47 May 1, 2005 Purchase 66 49 The company sold 153 units at $63 each and has a tax rate of 30%. What is the company's gross profit assuming that a periodic inve...
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Ames and Marianne are a wealthy couple who have three children, Fred, Bridget, and Lisa. Two of the three children, Fred and Bridget, are from Ames's previous marriages. On December 25 of this year, Ames gave each of the three children a cash gift of $9,500, and Marianne gave Lisa an additional cash gift of $47,000. Am...
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Which of the following have substantially equivalent effects on a nation's volume of exports and imports? a. Exchange rate appreciation and a decrease in the domestic supply of money b. exchange rate appreciation and domestic deflation c. Exchange rate depreciation and domestic inflation d. Exchange rate depreciati...
d
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A firm makes the least favorable employment terms for the most competent job applicants because: a. otherwise, the profit-maximizing rate of employment will be too high. b. otherwise, the marginal product of the last worker would be negative. c. otherwise, the profit-maximizing rate of employment will be too low. d...
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Two identical conducting spheres are placed with their centers 0.30 m apart. One is given a charge of 12 x 10^-9 C, the other a charge of -18 x 10^-9 C. Find the electrostatic force exerted on one sphere by the other.
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Atwood Industries Inc. has cash sales of $540,000. Credit sales total $380,000. On the average, the person placing a credit order will pay the account within 32 days of the invoice date. Assuming a 360-day year, what is the average collection period in days for these credit sales?
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How many adult men must be randomly selected if the researcher wants to estimate, with 95% confidence, the population mean to within 0.2 mg/dL and also assumes that the population standard deviation is 5 mg/dL, according to the Central Limit Theorem?
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Acme Corp reports the following information for the current year: Net income $64,000 Depreciation expense 17,000 Decrease in accounts receivable 9,000 Decrease in inventory 3,000 Increase in prepaid expenses 2,000 Increase in accounts payable 7,000 Based on this information, net cash flow from operating activiti...
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Which of the following statements best describes tax results to a shareholder in a section 351 transaction when liabilities on property transferred to the corporation are assumed by the corporation? a. Liabilities assumed by a corporation on section 351 transfer are always treated as boot. b. Liabilities assumed by a...
c
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Find an equation for the tangent plane to the graph of f(x,y) = xe^{y/x^3} at the point (1,1,1/e).
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If the computed upper deviation rate exceeds the tolerable deviation rate, and the statistical relationship between the sample deviation rate and the computed upper deviation rate is not statistically significant, the appropriate action to take would be to: a. increase the sample size. b. assess control risk at the m...
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Which of the following costs would most likely be considered a differential cost? a. Depreciation on equipment b. Variable manufacturing overhead c. Fixed manufacturing overhead d. Sunk cost
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How is the ODE $ru''+2u'=0$ converted to the auxiliary equation $m(m-1)+2m=0$?
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Determine the smallest value of the Fed's required reserve ratio that would ensure that the banking system could still create $1,000 in new checkable deposits with a $100 increase in the monetary base, given that the banking system currently has $1 million in demand deposits, $10 million in excess reserves, and $100,00...
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Use Green's theorem in the vector form to calculate the outward flux {eq}\phi= \oint_c \bar{F}.\bar{n} ds{/eq} for {eq}\bar{F}=(y^2-x^2)\bar{i}+ 2xy\bar{j}{/eq} and C the triangle with vertices (0,0),(3,0) and (0,6).
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If jPhone, Inc., has an equity multiplier of 1.43, total asset turnover of 1.65, and a profit margin of 6.8 per cent, What is the company's ROE?
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An investment manager has $1 million to invest. The investor's goal is to limit her exposure to any one type of asset to no more than $250,000. She wants to invest in 4 types of assets: growth funds, value funds, international funds, and income funds. How can the constraints be expressed using mathematical equations?
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Beta Company has a cost function given by C(y) = 10y^2 + 300y + 1800 and its marginal cost function is A. 10y + 300 B. 20y + 300 C. 10y + 1800 D. 20y + 1800
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If an investment, at the end of its term, can be reinvested at the same rate at which it was originally invested: a. PV of a sum increases as the frequency of compounding decreases b. FV of a sum increases as the frequency of compounding increases c. FV of a sum increases as the discount rate decreases d. PV of a s...
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Evaluate {eq}\int \int_{D} (x - 4y) dA {/eq}, where {eq}D{/eq} is the region bounded by the lines {eq}y = 0{/eq}, {eq}y = 1{/eq}, {eq}x = 0{/eq} and {eq}x = 2{/eq} by changing to polar coordinates.
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Which of the following is not a finding of previous empirical research on income tax allocation? A) Income using income tax allocation had a higher degree of association with security price behavior than income determined without income tax allocation. B) The net-of-tax method using a tax rate significantly higher th...
D
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At December 31, 2013, Martyn, Inc. has $100,000 of 12%, 10-year bonds payable outstanding. The company has followed the policy of replacing the bonds rather than repaying them over the last two years. The company's treasurer says that this policy is expected to continue indefinitely and that the arrangement is acceptab...
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One example of an accrued revenue adjusting entry would be: A. Service Revenue/Accounts Receivable. B. Salaries Expense/Salaries Payable. C. Cash/Service Revenue. D. Fees Earned/Accepted for Collection.
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Consider the differential equation {eq}dy/dx=y-2{/eq}. For which of the following initial conditions does the Existence and Uniqueness Theorem guarantee a unique solution on some open interval that contains x=1? a. y(1) = -1 b. y(1) = 2 c. y(1) = 3 d. y(1) = 4
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On June 1, 2019, Adelphi Corporation issued $500,000 of 6%, 5-year bonds. The bonds were issued at 99, pay interest on January 1 and June 1. Use this information to calculate the amount of bond discount or premium that is amortized with each interest payment.
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Suppose the marginal cost of producing Q units is {eq}3Q^2 + 100{/eq} and that fixed costs are $150. If the marginal revenue function is {eq}MR = 160 - 2Q{/eq}, use calculus to find the output that will maximize profit.
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We need the n-1 correction factor in the formula for the sample variance because: A. using the population formula with the sample tends to overestimate the population variance. B. subtracting the mean from X necessitates subtracting 1 from n. C. sample distributions do not have as much variability as population distrib...
A
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EIS Company has two service departments (Building Services and Janitorial) and two production departments (Fabrication and Assembly). The estimated costs for the services departments are as follows: Building Services$40,000 Janitorial$10,000 The estimated use of services by each of the departments is as follows: ...
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A manufacturer sells a certain article at $44 per unit. The manufacturer's marginal cost function is C'(x) = 3x + 5, and the fixed cost is $500. Given this information, find the level of production that maximizes the profit.
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Using the indirect method, what would be the effect on cash flow from operating activities of a $1,000 decrease in the Accounts Receivable balance between the beginning and the end of a period? a. A $1,000 decrease in net income. b. A $1,000 increase in cash flow from operating activities. c. A $1,000 decrease in ca...
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The rate of return on shareholders' equity can be computed from which of the following? a. net income divided by total assets b. net income divided by average total assets c. net income divided by (beginning shareholders' equity + ending shareholders' equity)/2 d. net income divided by (beginning shareholders' equi...
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What is the marginal utility derived from the consumption of the third item (i.e. {eq}x_3 {/eq}), if total utility from the consumption of three goods ({eq}x_1, x_2, {/eq} and {eq}x_3 {/eq}) is given by {eq}TU = 24 + 4 x_1 + 2 x_2 - 2 x_3 - \frac{1}{2} x_3^2 {/eq} ?
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Is the sequence $(b(n))$, where $b(n)=(n+1)^{(n+1)^{-1/(n+1)}} -n^{n^{-1/n}}$, convergent, and if it is, what is its limit? Does $b(n)$ grow strictly monotonically for all $n > 2$?
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We roll a fair die until the cumulative sum hits 1000 or more. What is the most likely last roll (i.e., what is the value {eq}x {/eq} that makes {eq}P(X = x) {/eq} maximal)?
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The comparative financial statements of Marshall Inc. are given in the following tables. The market price of Marshall's common stock was $82.80 on December 31, 20Y2. Determine the Price-earnings ratio for 20Y2. Assume a 365-day year. Marshall Inc.'s Comparative Retained Earnings Statement For the Years Ended Dece...
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Benson Co. purchases an asset for $5,000. This asset qualifies as a seven-year recovery asset under MACRS. Benson has a tax rate of 35 percent. The seven-year expense percentages for years 1, 2, 3, 4, 5, and 6 are 14.29 percent, 24.49 percent, 17.49 percent, 12.49 percent, 8.93 percent, and 8.93 percent, respectively. ...
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Roberts Corp., which began business at the start of the current year, had the following data: Planned and actual production 40,000 units Sales 37,000 units at $15 per unit Production costs: Variable $4 per unit Fixed $260,000 Selling and administrative costs: Variable $1 per unit Fixed $32,000 The operating i...
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The rate equation for a chemical reaction is found experimentally to be rate = k[A][B]^2. Which of the following chemical species could not possibly be involved in the rate-determining step of the reaction mechanism? A) A B) B C) AB D) All the above could possibly be involved in the rate-determining step.
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A charge of {eq}8.62\ nC {/eq} is located at the point {eq}(3.10\ m,\ 2.50 \ m,\ 3.50\ m) {/eq} in Cartesian space. Calculate the total electric flux through a sphere of radius 1.03 m centered on the origin.
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Consider the following estimated production function for coconut production: {eq}Q = \alpha_1 + \alpha_2 F + \alpha_3 L {/eq}, where Q is output, F is fertilizer, and L is labor. Assume that the derivative of the production function with respect to F is positive and increasing, and the production function is always in...
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In which stage of the product life cycle is the greatest proportion of sales growth expected? a. introduction b. growth c. maturity d. decline
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Given the differential equation {eq}x \dfrac{dy}{dx} = (x + y - 1)^2{/eq}, find a particular solution with {eq}y(0)=0{/eq}.
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Y Corp. had 400,000 shares of $30 par common stock and 40,000 shares of $100 par $6 cumulative convertible preferred stock outstanding for the entire year ended Dec.31, 2012. Each share of preferred stock is convertible into 5 shares of common stock. Net Income for 2012 was $1,680,000. For the year ending 2012, what i...
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Suppose two securities have the following betas and standard deviations: Security Beta Standard Deviation A 1.3 25% B .70 20% Assuming a risk-free rate of return of 5.25% and a market risk premium of 7%, which of the following statements is true of these securities? a. Security A is overvalued and should be sold; ...
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The Stop Gap, Inc. is considering the purchase of a copying machine, which it will make available to customers at a per-copy charge. The copying machine has an initial cost of $7,500, an estimated useful life of five years, and an estimated salvage value of $2,500. The estimated annual revenue and expenses relating to ...
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Stock Y has a beta of 1.3 and an expected return of 17.05 percent. Stock Z has a beta of .8 and an expected return of 9.2 percent. What would the risk-free rate have to be for the two stocks to be correctly priced? a. 3.25% b. 1.45% c. 5.52% d. 2.79% e. 7.52%
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Historical data for the United States seems to indicate that, as productivity increases, the real wage: A. decreases B. increases by a significantly bigger amount C. increases by a significantly smaller amount D. increases by about the same amount
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Two narrow slits separated by {eq}1.0 \ mm {/eq} are illuminated by light of wavelength {eq}600 \ nm {/eq}. What is the highest order bright fringe in the interference pattern that can be observed on a screen 2.00 m from the slits?
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All cells require a nitrogen source to grow. The preferred nitrogen source for E. coli is an ammonium salt (e.g. NH4Cl ). The NH 4 is assimilated into cellular metabolism by glutamine synthetase (GS), which catalyzes the synthesis of glutamine from glutamate, NH 4, and ATP. Glutamine then serves as a precursor to many ...
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The price of the T-bill is $9,863, with a face value of $10,000 and maturity of 240 days. What is the discount rate? Select one: a. 6.17% b. 15.17% c. 16.00% d. 13.78%
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Which one of the following is an annuity but not perpetuity? a. $300 every two to three weeks for one year b. a monthly payment of $425 forever c. payments on the first day of each month in varying amounts for ten months d. $600 on the last day of each month for two years e. $400 on the first of the second, fifth,...
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What is wrong with the calculation $\displaystyle \lim_{x\to 0}\frac{\mathrm{d}}{\mathrm{d}x} x^x = \lim_{x\to 0} x^x\frac{\mathrm{d}}{\mathrm{d}x} \log x = 0\cdot(-\infty) = 0$, given that $x^x$ is decreasing for $0<x<1$, while the limit $\displaystyle \lim_{x\to 0} \frac{\mathrm{d}}{\mathrm{d}x} x^x = \lim_{x\to 0} \...
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Given the formula $x_n = \frac{1}{2}x_{n-1} + 1$, where $x_0 = a$ and $x_{n+1} = x_n$, how can I find $x_n$ as a function of $n$ and $a$?
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Show that the Q which minimizes Average Cost, also maximizes profits, for a firm with the following demand and total cost functions: P = 50 - 0.5Q TC = 0.25Q2 + 35Q + 25
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Which company would benefit from expansionary monetary and fiscal policy? a. American Airlines (Airline industry): Interest Rate; Dividend/Payout Ratio; Share Price; Business Cycle Risk b. Wendy's (Restaurant industry): Interest Rate; Dividend/Payout Ratio; Share Price; Business Cycle Risk c. GoDaddy (Technology ind...
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Each of the following statements regarding the nature of corporate income is true, except: a. Publicly traded corporations pay corporate income tax only on income. b. Some closely held corporations pay corporate income tax on the accumulated earnings tax. c. All corporations pay franchise tax. d. The holding compan...
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Determine the existence of the limit of $\frac{xy}{x + y + z}$ as (x,y,z) goes to (0,0,0) and if it exists compute it.
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Find the equation for the tangent line to the graph {eq}r=cos\theta-2sin\theta {/eq} at {eq}\theta=\pi/4{/eq}
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Consider two individuals with identical utility functions given by u(x1,x2) = x10.5*x20.5. The only difference between them is that person A owns 25 units of good 1 while person B owns 36 units of good 2. If a Pareto optimal reallocation is to be found between them, the units of good 1 that person A should receive are:...
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Stock A's stock price is $75 per share. The expected year end dividend is $3.60, and the stock is expected to grow at a constant rate of 5% per year. Stock B's stock price is $52.50 per share. The expected year end dividend is $1.80, and the stock is expected to grow at a constant rate of 13% per year. Which stock has ...
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What is the stock's beta? a. 1.00 b. 0.78 c. 0.94 d. 1.18 e. 0.50
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Which of the following is not an end user of financial information? a. CEO b. Bank c. Trustee d. Shareholder
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Evaluate: {eq}\int \frac{dx}{ \left [ (\frac{1}{5}) x -2 \right ]^8 } {/eq}
-5/(7(1/5x-2)^7)+C
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On January 1, Crystal Manufacturing had 50,000 shares of common stock and 2,000 shares of 5% cumulative preferred stock outstanding. On February 1, the board of directors declared a cash dividend of $10,000, and on March 1, it declared a stock dividend of 10,000 shares. What is the total amount of dividends payable on...
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Use Taylor's Theorem to obtain an upper bound on the error of the approximation. Calculate the value of the function and the approximation near c=0. e^-0.6, n=2, x=0.4
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What is the likely impact on the U.S. current account of a significant increase in the number of U.S. citizens traveling abroad? A. No impact on the current account B. A decrease in the current account deficit C. An increase in the current account deficit D. None of the above
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A realtor wishes to know what proportion of household occupants in the region own their home (as opposed to rent) within 0.07 at the 5% level of significance. How big a sample must be collected, if the true proportion is known to be at most 0.6?
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You are considering two mutually exclusive projects with the following cash flows: Initial (55,000) (80,000) Investment Year 1 50,000 75,000 Year 2 50,000 50,000 Year 3 50,000 25,000 Compute the crossover rate between the two projects. a. 14% b. 10% c. 8% d. 6% e. 4%
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I am trying to find the derivative of the following function using the definition of a derivative: $$f(v)=\frac{v+4}{\lvert v+4\rvert}$$ I've already tried substituting $|v+4|$ with $\sqrt{(v+4)^2}$: $$DQ=\lim_{h \to 0} \frac{\frac{(v+h)+4}{\sqrt{((v+h)+4)^2}}-\frac{(v+4)}{\sqrt{(v+4)^2}}}{h}$$ $$DQ=\lim_{h \to 0}\frac...
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It is known that the probability of an on-line transaction being successful is 0.60. In a sample of 15 on-line transactions, determine the probability that: a. more than 10 are successful. b. between 3 and 5 are successful.
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The owner of a small retail store wishes to know what proportion of her customers are women. She desires a 99% confidence level with an error of no more than 0.11 of the true proportion. Assuming that the proportion of customers who are women is no more than 0.73, what is the minimum number of customers the owner must ...
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You have a loan outstanding. It requires three annual payments at the end of the next three years of $1,000 each. Your bank has offered to allow you to skip making the next two payments, and in lieu of these payments, make one large payment in three years. If the interest rate on the loan is 10%, then the final payment...
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This question already has answers here: Unbiased estimator for $\theta$ of $\operatorname{Beta}(1, \theta)$ 7 answers So what is an unbiased estimator for $\theta$ of $\operatorname{Beta}(1, \theta)$?
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A company's net operating income under absorption costing was $40,000, and its net operating income under variable costing was $38,000. The company produced and sold 14,000 units during the period. The company's fixed manufacturing overhead production volume variance for the period was closest to: (Do not round interm...
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How do we get from the sum $\sum_i^n 2(n-i) (n-i+1)$ to a total cost of $\frac{2}{3}n^3$?
$\frac{2}{3}n^3$
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Toro Corporation reported net cash provided by operating activities of $325,700, net cash used by investing activities of $136,800 (including cash spent for capital assets of $185,300), and net cash provided by financing activities of $61,500. Dividends of $108,400 were paid. Calculate free cash flow.
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Why does the solution for calculating the probability that the mean height for a sample of 50 women is greater than 65 inches use a z-score of 0.77, and why does the solution directly calculate this probability instead of calculating it using an equation or function?
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A new project would require an increase in accounts receivable and inventory of $60,000, but it would simultaneously decrease accounts payable by $20,000. If no other financing or cash flow changes occurred, the statement of cash flows would show a net inflow of: A. $0 B. $20,000 C. $60,000 D. $40,000 E. -$80,000
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Compute the 3rd order Taylor polynomial of {eq}\frac{1}{\sqrt x} {/eq} about {eq}a=1 {/eq}. Using the error bound formula for Taylor polynomials, find a value of {eq}x{/eq} such that you are guaranteed that {eq}p_3(x){/eq} is within .005 of {eq}\frac{1}{\sqrt x}{/eq}.
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Assume the market portfolio has an expected return of 10% and a standard deviation of 24%. Johnson & Johnson Corporation stock has a beta of 0.32. What is its expected return? a. 3.85% b. 6.55% c. 12.74% d. 13.46%
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A local partnership is considering possible liquidation because one of the partners (Bell) is insolvent. Capital balances at the current time are as follows: Bell, capital $76,000 Hardy, capital 66,000 Dennard, capital 10,000 Suddath, capital 90,000 Profits and losses are divided on a 4:3:2:1 basis, respectively. B...
A
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Because neither optimal output nor price is necessarily achieved under monopoly, economists feel that: A. monopolistic competition is better for the economy than monopoly. B. price discrimination is necessary to correct for the deadweight loss associated with monopoly. C. monopoly provides a good example of what goe...
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On July 10, 2011, Johnson Corporation signed a purchase commitment to purchase inventory for $176,000 on or before February 15, 2012. The company's fiscal year end is December 31. The contract was exercised on February 1, 2012, and the inventory was purchased for cash at the contract price. On the purchase date of Feb...
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The total cost function, in dollars, for a product is given by C(x) = 0.8x^2 + 100x + 220. Find the average cost over {eq}[0, 200].
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The central maxim for the all-or-none response to a stimulus is: a) As a stimulus is increased in intensity, the response also increases in magnitude. b) A stimulus of a certain magnitude will produce a maximal response each time it is applied. c) The response will be in the form of a series of graded potentials. d...
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Use the table given below to answer this question: Year Dollars in 2015 Number of Units in 2015 Dollars in 2016 Number of Units in 2016 Veggie Burger 3.00 5000 3.20 4500 Hot Dog 2.00 2500 2.50 2700 Compute the cost of the market basket in 2016 using 2015 prices. (Show your calculations) A. {e...
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The first step in HRP is: A) conducting a skills inventory. B) determining product demand. C) forecasting labor demand. D) forecasting labor supply.
C
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How many smokers must be surveyed to be 95% confident that the sample percentage is in error by no more than three percentage points, given that 28% of adults smoke?
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Which of the following is correct? A. Degree of operating leverage is the contribution margin divided by net operating income. B. Degree of operating leverage is the ratio of fixed costs to variable costs. C. A higher degree of operating leverage means higher risk. D. Degree of operating leverage can be computed by...
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A firm has total assets of $100,000 and there are no current liabilities. The firm is planning a major expansion. The firm plans to finance the expansion through a combination of debt and equity. The firm can raise up to $20,000 of debt and $40,000 of equity. The debt can have an interest rate of 8%. After expansion, s...
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Which one of the following statements about a 4% common stock dividend is true? A. The stock will be repurchased at $10 per share. B. The stock will be repurchased at book value. C. This dividend is tax deductible. D. This is a type of liquidating dividend. E. This dividend is not tax deductible.
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Company requires a minimum rate of return of 10%. The management of the company is considering the purchase of a machine that will cost $55,000.00. The machine would have a useful life of 5 years. The machine would have no salvage value. The machine would reduce labor and other operating costs by $18,000.00 per year. T...
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A pension plan is obligated to make disbursements of $2.3 million, $3.3 million, and $2.3 million at the end of each of the next three years, respectively. Find the duration of the plan's obligations if the interest rate is 11% annually.
1.94 years
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Tim leased an office building for 8 years for $800,000. Which of the following would be correct? A) This lease would require the use of an ordinary annuity table B) This lease would require the use of a present value of an annuity table C) This lease would require the use of a future amount of an annuity table D) N...
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Assume the following equation: $\max_{x}(f(x)−Ax)$ , $x\in\mathbb{R}^{n}$, $f(x)$ is a convex function. $A$ is a scalar coefficient. $x$ is a variable. If $A<0$, then $f(x)$ is also convex and differentiable. I would like to know what is the optimal solution to this equation? Is it unique?
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A company makes a product that is in the growth stage of the product life cycle. Total cost data for this product are given below: Fixed Cost $720,000 Variable Cost $3 Expected future annual volume 300,000 units The company plans to sell the product for $11 per unit. Marketing managers estimate that the product will ...
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