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On average, 2% of the products manufactured by a lot of 1000 products will be defective. Suppose this product's sales have a percentage rate of $5 per product. What is the expected number of sales if 2% of the products are defective, a defective product costs $5 to replace, and the sales rate is $5 per product?
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The income elasticity of demand tends to be _____ for necessities than for luxuries, and _____ for shopping goods than for specialty goods. A) lower; lower B) lower; higher C) higher; higher D) higher; lower
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We know that the distribution of test scores is a normal distribution with a mean of 75 and a standard deviation of 10. What is the probability that a random student will earn a test score less than 80?
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The indefinite integral of {eq}\int^1_{-1} 4ab^3-4a^3b \, \mathrm{d}b {/eq} where {eq}a {/eq} and {eq}b {/eq} are independent variables is:
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In attributes sampling, an estimate of the expected population exception rate is necessary to plan the sample size. The relationship of expected population exception rate (EPER) to sample size is: a. direct (small EPER = small sample). b. inverse (small EPER = large sample). c. a variable (sometimes small, sometimes...
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Piper Corporation (a subsidiary of Electronics, Inc.) purchased a new warehouse to use in conjunction with the distribution of its inventory. Management is considering a proposal that would charge the warehouse expense to the distributing department on the basis of square feet occupied (the number of employees using th...
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If the incident light has {eq}\displaystyle \lambda = 633 \ nm {/eq}, what is the largest slit width for which there will be a second-order maximum? a. {eq}\displaystyle 0.633 \ \mu m {/eq}. b. {eq}\displaystyle 1.27 \ \mu m {/eq}. c. {eq}\displaystyle 3.20 \ \mu m {/eq}. d. {eq}\displaystyle 2.12 \ \mu m ...
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Determine the critical value for a right-tailed test regarding a population proportion at the $\alpha = 0.05$ level of significance.
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How is it possible for a merchandising company to earn a higher gross profit margin than a manufacturing company? Give two examples. a. A merchandising company may have a higher gross profit margin due to lower selling and administrative expenses. A department store and a residential real estate broker are examples. ...
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Why does summation of an infinite series with ratio 1/2 always equal 1 minus the first term, and can you demonstrate this mathematically using a different series, like 1 + 3x/2 + (3x/2)^2 + ... , which sums to (1 - (3x/2))/(1 - 3x/2)?
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Privatizing the provision of some services such as mass transit is generally in the public interest, since publicly operated mass transit programs almost invariably operate at a loss. Suppose that at an initial cost of $1,000, a homeowner can insulate his house and save $50 each year in heating bills. What is the large...
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A company must decide now which of two shipping companies it will use next year to ship its goods. Company A offers a rate of {eq}\$800 {/eq} per million dollars shipped plus {eq}\$2 {/eq} per crate. Company B offers a rate of {eq}\$750 {/eq} per million dollars shipped plus {eq}\$1 {/eq} per crate. Assuming that t...
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BusyBody Company expects its November sales to be 30% higher than its October sales of $200,000. Purchases were $75,000 in October and are expected to be $75,000 in November. All sales are on credit and are collected as follows: 20% in the month of the sale and 80% in the following month. Purchases are paid 30% in the ...
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How do I solve this using Laplace transforms? $$y''+y'+3y=f(t)$$ where $f(t)=\arctan(t),t>0$.
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Let u(x, t) be a solution of the PDE 4u_t + 2xu_x = 0, with u(x, 0) = f(x) = x^4. Find the domain of dependence of the point (1, 1).
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Currently, ABC Company is holding $1,445,000 worth of inventory (at today's prices). If the cost of capital is 14 percent, how much is the inventory worth in real terms (assuming a 3 percent inflation rate)? A) $1,408,700 B) $1,317,364 C) $2,546,552 D) $1,302,420
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Recombinant DNA technology is least applicable to which approach? (a) The analysis of traits determined by multiple genes (b) Overexpression of a particular gene (c) Silencing a particular gene (d) Knocking out a particular gene (e) Targeting a protein to the nucleus
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A company that produces jugs and pitchers has currently sold 75,000 jugs and 40,000 pitchers during its first year of operation. It has provided the following data to the marketing department for use in developing the marketing plan for the coming year: Jugs Pitchers Selling pric...
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X is a nonempty set. $d:X \times X \to \mathbb{R}$ defined by $d(x,y)=1$ if $x \ne y $ and $d(x,x)=0$ for each $x \in X$.Which of the following is true (A) Every infinite subset of X is closed (B) Every infinite subset of X has a limit point (C) Every non empty subset of X is open (D) Every real valued function on ...
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Given the binomial expansion formula, what is the sum of all the coefficients in the expansion of {eq}(2x - 3)^{1000}?{/eq}
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Find the absolute maximum and absolute minimum values for the function {eq}f(x) = \ln(x^2 + 1){/eq} for {eq}-1 \leq x \leq 3{/eq}.
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Your company's costs and prices have been cut in half and this firm has not lowered the price. If the firm does not lower the price, this implies that the demand for the firm's output has: a. unitary elasticity b. price-inelastic demand c. price-elastic demand d. perfect elastic demand e. perfect inelastic demand
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The industry of fine art auction houses is _____. a. a monopoly b. monopolistically competitive c. a duopoly d. perfectly competitive
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Partner A has a capital balance of $40,000 and devotes full time to the partnership. Partner B has a capital balance of $50,000 and devotes half time to the partnership. If no other information is available regarding distributions, in what ratio is net income to be divided? A. 1:1 B. 4:5 C. 1:2 D. 5:4
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A firm currently pays wages of $10/hour. The company expects the inflation rate to be 2 percent over the next year. The firm currently earns $500 in revenues and has a marginal cost of $20. Assuming the firm is maximizing its profits, what will its profits be in one year, rounded to the nearest $100? (Assume the profit...
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Kipling Inc., has a number of departments, one of which is the Materials Testing Department. It conducts materials testing for both of the company's departments the assembly department and the casting department. There are two types of tests the Materials Testing Department conducts on the materials: compression tests ...
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Delta Corporation has the following data for 2011: Amount Net income$300,000 Income before income taxes$400,000 Pre-tax income before special items$450,000 Income tax expense$75,000 Income tax expense due to tax planning strategies$15,000 Several years ago Delta Corporation established a tax haven in a foreign coun...
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What happens to the premium for a non-diversifiable risk if: i) the variance of its returns is reduced? ii) the covariance of its returns with those of other risky assets is reduced? iii) the standard deviation of returns of other risky assets is reduced? iv) the correlation coefficient of its returns with those of...
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Mateus Inc. uses a job-order costing system in which any underapplied or overapplied overhead is closed to the cost of goods sold at the end of the month. In September the company completed job X86V which consisted of 20,000 units of one of the company's standard products. No other jobs were in process during the month...
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The inflation differential theory says that the movement of the relative value of two currencies is determined by A. the difference between the rates of inflation in the countries. B. the total volume of trade between the countries. C. the difference in interest rates between the countries. D. the total volume of i...
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Use Green's theorem in the vector form to calculate the outward flux {eq}\phi{/eq} for the field {eq}F=y^2i+x^2j{/eq} across the closed plane curve {eq}C{/eq}. The curve {eq}C{/eq} is the closed counterclockwise path formed from the semicircle {eq}r(t)=2\cos t\:i+2\sin t\:j,0\leq t\leq \pi{/eq}, and the straight line s...
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How do you find the area inside the circle #r = 5cos(theta)# and outside the cardioid #r = 1 + cos(theta)#?
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How does one solve the integral $\int_0^1 \frac{\mathrm{d}x}{1-\lfloor \log_2(1-x)\rfloor}$? I am looking to solve a specific problem involving a series, and my approach is to use the integral $\int_0^1 \frac{\mathrm{d}x}{1-\lfloor \log_2(1-x)\rfloor}$ as a constant $C$ to sum the series $\sum_{i=1}^\infty \frac{1}{2^i...
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Determine the approximate level of equilibrium income and interest rate in the following open economy model: Y = C + I + G + X C = 0.75Y + 10 I = 5 - 0.10r G = 10 X = 5 - 0.05r where Y = the level of income (GDP) r = the interest rate
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Greg sees that his company's quarterly sales and profits are significantly above projections and says, "That's great. Let's keep doing what we've been doing." Greg is ignoring the ________ step of the marketing planning process. A. Evaluate PerformanceB. Define the Business MissionC. Situation AnalysisD. Implement M...
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All else equal, an increase in the cost of long-term debt: a. decreases the firm's earnings per share. b. increases the firm's return on equity. c. increases the firm's earnings per share. d. decreases the firm's return on equity.
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The table below is for the number of payments, n, the periodic interest rate, r, and the present value (PV), where n = 8, r = 10%, and PV = 800. Determine the payment amount. Periodic Number of Interest Present Value Payment Amount Number of Periods Rate per Period (PV) (P...
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The Centerville Clinic is an all-equity firm that has 100,000 shares of stock outstanding. The company has decided to borrow $1 million to repurchase 50,000 shares of its stock from the estate of a deceased shareholder. What is the total value of this firm if you ignore taxes? A) $1 million B) $1.5 million C) $2 mi...
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The comparative financial statements of Marshall Inc. are given in the following tables: M AR R I S H I N C . Comparative Retained Earnings Statements For the Years Ended December 31, 2014 and 2013 2014 2013 Retained earnings January 1 $101,800.00 $94,000.00 Net income (loss) 7,000.00 13,400.00 Total $108...
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Miguel Corporation, which has only one product, has provided the following data concerning its most recent month of operations: Beginning units in the inventory0 Units produced4,800 Units sold4,200 Units in ending inventory600 Units produced1,500 Units sold1,200 Units in ending inventory300 The variable manufacturing...
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R. N. C., Inc., desires a sustainable growth rate of 3.19 percent while maintaining a 47 percent dividend payout ratio and a profit margin of 8 percent. The company has a capital intensity ratio of 1.9. What equity multiplier is required to achieve the company's desired rate of growth?
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Is the Green's theorem applicable for the vector field {eq}F=(x+y)i-(x-y)j{/eq} on the ellipse {eq}\frac{x^2}{4}+\frac{y^2}{9}=1{/eq}? If applicable, find the outward flux of F across the boundary of the region enclosed by the ellipse.
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A randomly selected sample of n = 125 elements from a population containing 2500 elements produced a sample mean of 104.54 and a standard deviation of 12.9. Find a 90% confidence interval for the mean of the population.
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ABC Company wants to have $70,213 in three years. The company intends to accumulate that amount by making equal semiannual cash deposits every six months for three years into a bank account that pays 4% interest compounded semi-annually. Required: Calculate the amount of each deposit. Do not use decimals in your answ...
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Compute the average distance of an electron in the ground state of the hydrogen atom from the nucleus. The position of the electron is given by the function {eq}\displaystyle |\psi (x)|^2 = \frac{4}{3a^3}e^{-2r/a} {/eq}, where {eq}\displaystyle a = 5.29 \times 10^{-11} m {/eq}.
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The source of the cash increase from the issuance of a long-term debt is shown on the statement of cash flows in the: a. operating activity section. b. financing activity section. c. investing activity section. d. non-cash investing and financing activity section. e. None of the above.
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Horace Corporation's cost of equity is 18 percent, its before-tax cost of debt is 3 percent, and its cost of preferred stock is 6.2 percent. The market value of its equity is $320 million, the market value of its debt is $ 540 million, and the market value of its preferred stock is $100 million. If the tax rate is 34 p...
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According to the quantity theory, if M doubles, V doubles, and Y is constant, then: A. P will increase by more than 100%. B. P will double. C. P will increase by less than 100%. D. P will be constant.
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Sofie Corporation produces two types of office chairs, Model A and Model B. It uses a traditional costing system with direct labor-hours as the allocation base. The product-line data appear below: Model A Model B Annual sales $300,000 $480,000 Total annual machine-...
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A manufacturer knows that their items have a mean life of 4.6 years, with a standard deviation of 1.2 years. If 100 items are purchased, find the probability that the average life of these items is greater than 4.9 years.
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Prove or disprove that for any finite field $F$, the sum of all the elements of $F$ is equal to 0. How can we define the sum of all elements in a finite field, especially when the field is not ordered like $\mathbb{R}$?
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The owners of the Delmonico restaurant are considering an expansion of the facility. The manager of the restaurant believes that expanding the facility will result in higher sales, but the manager is reluctant to make the expansion if it will decrease the restaurant's net profit. There is some uncertainty about the sel...
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Let $T:(C[0,1], \lVert\ \rVert_\infty)\to\mathbb R$ be defined by $T(f)=\int_0^12xf(x)\,dx$ for all $f\in C[0,1]$. Then prove that $\lVert T\rVert=1$.
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What is the formal definition of the chain of argument, and how does it differ from circular reasoning, and to what extent is it related to circular reasoning? Why does circular reasoning (or the potential for it) complicate formal reasoning about situations in which uncertainty exists?
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If a firm's sales for the current year are $200,000, and the firm had 20,000 shares outstanding for the entire year, earnings per share of $5 could be achieved by earning a net income of: a. $100,000 b. $1,000,000 c. $10,000 d. None of the above
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Andreu buys 100 shares of AT&T stock each month. Assume that the price of AT&T stock follows a geometric Brownian motion with \mu = 0.06 and \sigma = 0.40. What is the probability that his average cost for the 100 shares falls below $12.00 if the current price of AT&T stock is $13.00?
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Positivists believe that: a. doing well is based on the specific set of circumstances pertaining to that issue b. decision makers should observe the behavior of individuals to conclude what is good and ethical behavior c. decision makers need to gather information from multiple sources before a decision can be made ...
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T Company reports the following information for 2015: Beginning inventory 210 units at $8 Purchases 790 units at $7 Sales 690 units at $10 Ending inventory 310 units Assume that a perpetual inventory system is used. Determine the total cost of the 310 units that remain in ending inventory. A) $2,370 B) $2,4...
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A firm's stock currently sells for $20.23. The firm just paid a dividend $3.24. If the required rate of return on the firm's stock is 13.3%. What is the market's expectation of the firm's constant future growth rate? State your answer as a percentage to 2 decimal places. Percent sign not necessary. Note: it is possible...
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The interest rate at which reserves can be held as excess reserves is the _____ interest rate. a) discount b) zero c) reference d) federal funds e) none of the above
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When should it be preferred to use the standard normal distribution table instead of the t distribution table? a. when the sample standard deviation (s) is not known b. when n > 30 c. when the population standard deviation is known d. when it is a one-tailed test
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Determine whether the following statements are True (T) or False (F) and explain why. A) The IMC approach focuses on the needs of individual customers. B) A multichannel strategy is only used by organizations that need to reach different groups of customers. C) The financial manager's job is to maximize profits. D)...
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Use the second derivative test to find the relative extrema (if any) for the function {eq}f(x,y) = -y^2 + 4y - 9x^2 + 18x - 8{/eq}
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A stock is expected to have a dividend of $4.50 in one year and $5.00 in two years. On the other hand, a bond is expected to pay $80 in one year and $105 in two years. If the market interest rate is 10%, calculate the maximum price you would pay for the stock.
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What is the minimum entropy of a discrete random variable, and how many distributions achieve that minimum?
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In the short run, there are currently 180 perfectly competitive firms producing output q. The demand in this market is Qd=1500-20P. The cost function of each firm is C(q)= 20+3q^2. Compute the equilibrium profit of each firm in the short run.
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Suppose that an economy's real GDP is $30,000 in year 1 and $31,200 in year 2. Which of the following statements are true? a. The economy's real GDP grew faster if the price level increased by 4% than if it increased by 5%. b. The economy's real GDP grew faster if the price level remained unchanged than if it increas...
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A company is considering a capital budgeting project that requires a net investment outlay of $33,000 and has a project life of 5 years with net annual inflows as follows: Year 1 - 14,000 Year 2 - 12,000 Year 3 - 6,000 Year 4 - 5,000 Year 5 - 3,000 Additional information: The company's cost of capital is 14%. T...
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The exponential Fourier transform of the aperiodic signal {eq}x(t) \ to \ X(\omega) {/eq} is given by {eq}X(\omega)=\frac{5-j4}{2+j\omega} {/eq} Find the Fourier transform of the signal {eq}y(t)=x(t-1)+x(1-t) {/eq}.
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One key difference between interest-rate swaps and option contracts is: a) Swaps are derivative agreements and options are not. b) Swaps do not involve any risk and options do. c) Options transfer risk, swaps create risk. d) Options trade on organized exchanges and swaps do not.
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Washing machine replacement times are normally distributed with a mean of 9.3 years and a standard deviation of 5.2 years. Find the probability that 20 randomly selected washing machines will have a mean replacement time between 8 and 9 years.
0.266
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Use the PI formula to find the profitability index for a project if the initial costs are $3,827,095, the project life is estimated as 10 years, the salvage value is expected to be $875,000, the tax rate is 34%, and the cost of capital is 13%. The project will produce annual operating cash inflows of $1,165,000.
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Mothers Against Drunk Driving has asked local businesses to complete their voluntary contribution in support of their annual fund drive to combat drunk driving. The random contribution of local businesses is uniformly distributed between $20 and $50. What is the expected contribution of a single local business?
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The next dividend payment by Wyatt, Inc., will be $2.25 per share. The dividends are anticipated to maintain a growth rate of 3.50% forever. If the stock currently sells for $45.10 per share, what is the required return?
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Suppose that you buy a stock for $50, and at the end of the year you sell the stock for $65. The total amount of dividends you received during the year is $2.75. What is your total return on the stock? a) 14% b) 30.9% c) 31.1% d) 25.5%
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Which of the following statements is true? a. Once an issue has gone to the road, the company may cancel the registration. b. Shelf registration allows a firm to register multiple issues at one time with the Securities and Exchange Commission and then sell those shares anytime during the next three months. c. Shelf ...
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A taxpayer is about to receive a $1,000 bonus payment from his employer. He would like to put this bonus into a retirement account. He has come to you for advice as to whether he should put the $1,000 into a traditional deductible IRA or a Roth IRA account. You learn that he faces a current marginal tax rate of 28% and...
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Which of the following may result in misstatements related to the completeness assertion for the cash balance? A. Not recording all adjustments made to the cash in bank reconciliation statement prepared prior to the preparation of the balance sheet. B. Failure to consider period adjustments to intercompany receivable...
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Neo-classical design differs from classical design because it includes a concern for: A) industrial efficiency. B) specialization of labor. C) employee satisfaction. D) profits.
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What sample size would be needed to construct a 95% confidence interval with a margin of error of 10 points for SAT-Math score in all Penn State statistics majors, given a sample standard deviation of 40?
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Which of the following would cause the inventory turnover ratio to increase? a. increasing average inventory b. decreasing average inventory c. increasing net sales d. increasing cost of goods sold
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You just retired, and have $540,000 in your savings account. Beginning today, you will withdraw $2,000 per month and earn 6 percent, compounded monthly. How many months will it take until your account balance reaches zero? a) 201.96 months b) 176.94 months c) 203.26 months d) 179.39 months e) 196.14 months
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Diamonds are more expensive than water because a. diamonds yield higher total utility. b. market does not really reflect water's value. c. diamonds are rare. d. diamonds yield higher marginal utility.
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Mitchell Corporation's required rate of return is 11 percent. The company has total assets of $400,000 and total liabilities of $190,000. Cash flow from operations is $30,000 and net income is $40,000. Based on this information, the company's market value added is a. $(142,200). b. $(105,800). c. $(148,000). d. $(5...
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Your investment club has only two stocks in its portfolio, $20,000 is invested in a stock with a beta of 0.7, and $35,000 is invested in a stock with a beta of 1.3. What is the portfolio's beta?
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Mango and Plum Partnership has the following capital balances: Mango Plum Capital 24,000 15,000 Services (12,000 per year) 1,200 1,200 Mango and Plum share profits and losses in the ratio of 70:30. Swallow is admitted to the partnership for a 20 percent ownership interest by investing $18,000 cash. What will be Swa...
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The Kwok Company had sales of $6,000,000, costs of goods sold of $4,500,000, operating expenses of $1,000,000, and depreciation expenses of $300,000. The firm also had a marginal tax rate of 40 percent. Based on this information, what was the firm's total cash flow?
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You are evaluating a proposed capital budgeting project (project Delta) that requires an initial investment of $1,600,000. You have the following forecasts of the project's free cash flows: Year 1: $200,000 Year 2: $500,000 Year 3: $500,000 Year 4: $2,000,000 The risk-free rate is 4% and the expected return on th...
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Use Stoke's Theorem to evaluate {eq}\displaystyle \int_C \vec F \cdot \vec {dr} {/eq} (i.e. the work done) for {eq}\displaystyle \vec F (x,\ y,\ z) = (-2xy,\ 2y^2,\ 2x^2){/eq} where C is the boundary of the part of the plane {eq}\displaystyle 3x + \frac{1}{2} y + z = 5{/eq} that lies in the first octant.
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Summer Tyme, Inc., is going to pay an annual dividend of $3.30 a share. The market price of this stock is $50.80 per share, and the required rate of return is 13%. What is the capital gains yield? Round to two decimal places. Indicate the answer as a percent value. Capital gains yield _____ %
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Calculate the cash flow-to-sales ratio and working capital for a firm with an EBIT of $50 million, depreciation of $10 million, interest paid of $5 million, taxes of $10 million, a net increase in current liabilities of $1 million, and a net income of $30 million, given sales of $200 million.
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To accomplish a successful repositioning of the brand, Taco Bell needed to inform its consumers that Taco Bell food should be thought of as an experience rather than as just fuel. In the communication process, Taco Bell would be the _____ and the consumer would be the _____. a. message, receiver b. source, receiver ...
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How might the value of corporate bonds be affected by inflation? a. Inflation might increase the value of corporate bonds. b. Inflation might decrease the value of corporate bonds. c. Inflation has no effect on corporate bond values. d. Both a and c.
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Firm A is a natural monopoly and Firm B is a regulated monopoly. Which of the following statements are true? a) Firm A faces declining marginal revenue and negative average revenue. b) Firm B faces a downward sloping demand curve. c) For Firm A, selling two units of output generates more marginal revenue than sellin...
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Use cylindrical coordinates. Evaluate {eq} \iiint_E (x + y + z) \; dV {/eq}, where {eq}E{/eq} is the solid in the first octant that lies under the paraboloid {eq} z = 4 - x^2 - y^2 {/eq}.
8/15(16+5pi)
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Find the slope of the tangent line to the curve {eq}\displaystyle y = \frac{x^4}{\ln 2x} {/eq} at the point {eq}(e,\ e^3){/eq}.
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The useful life of an asset is 5 years. Assuming a straight-line method of depreciation, determine the loss at the end of each year. Also, compute the book value at the end of each year. Annual Depreciation = 40,000 Cost of Asset = 260,000
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Find the general solution of {eq}y''-2y'+5y=0{/eq}
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Two goods with no close substitutes will have (elastic/inelastic) demand because (a change in price will cause few people to purchase the other goods/other goods will not affect the demand for the goods). Price Elasticity of Demand: _ (elastic/inelastic) Reason: _ (a change in price will cause few people to purchase ...
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On a long, straight stretch of beach, a_flags are placed at regular intervals of 20 m. At time t = 0 waves begin to approach the flags from far to the left. When a wave crest hits a flag, a red light flashes on that flag. The flags then remain lit until all lights have extinguished. The last flag to have its light exti...
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