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Evaluate the surface integral {eq}\int\int_{S}\ F\cdot n\ d\sigma{/eq} over the elliptic cylinder {eq}4x^{2}+y^{2}=4{/eq} in the first octant, where {eq}F=[y,z,x]{/eq} and n is the unit normal of S pointing in the direction of increasing x.
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Suppose a perfectly competitive firm produces a market quantity of 5,000 units at a total cost of $60,000. The price of the good is $20 and the average total cost is $12. In order to maximize profit, the firm should a. hire more labor b. reduce the price c. hire less labor d. leave output unchanged
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The common stock of Philadelphia Corporation has a beta of 1.78 and an expected return of 10.9 percent. The expected return on the market portfolio is 12.2 percent. What is the risk-free rate?
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Capital Budgeting Choices: Business Location Capital Investment Cost in $ Cumulative Investment Costs Net Present Value 1 25,000 25,000 27,500 2 28,500 53,500 35,000 3 32,500 86,000 35,000 4 ...
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Which of the following statements is not considered a potential answer to the dividend puzzle (why do corporations pay dividends)? a. Paying dividends avoids the double taxation of corporate income. b. Demanding that managers pay out dividends restricts their investment activities and forces them to adopt more effici...
a
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Suppose that the price of a U.S. dollar is equivalent to one Japanese yen today, but tomorrow the exchange rate is expected to be 1 USD = 108 JPY. If you had to choose between buying a dollar-denominated asset for dollars today or the same asset for yen tomorrow, you would: A. buy the asset in dollars today because it...
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If the price elasticity of supply for a given price range equals the price elasticity of demand for a given price range, then an increase in demand will: a. increase the equilibrium price. b. increase the equilibrium quantity. c. reduce the equilibrium price. d. increase the equilibrium price and decrease the equil...
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The Book and Company uses the perpetual inventory method and engaged in the following transactions: Sold merchandise in for $2,500 on account. The cost of the merchandise sold was $1,200. Which of the following correctly states the impact of the transaction on the financial statements? a) assets increased; liabiliti...
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The yield to maturity of a $1,000 bond that pays interest semiannually is {eq}6\% {/eq}. If the bond has 14 years to maturity, what is the price of the bond?
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Is there a way to show that $\int^{\infty}_{-\infty}|f*g(x)|dx\leq\|f\|_{2}\|g\|_{1}$ without using Fourier transforms, given that $f\in L^2(\Bbb R)$, $g\in L^1(\Bbb R)$, and $f*g(x)=\int^{\infty}_{-\infty}f(y)g(x-y)dy$? I have deduced that $\int^{\infty}_{-\infty}|f*g(x)|dx\leq\int^{\infty}_{-\infty}\int^{\infty}_{-\i...
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Good K has an income elasticity of demand of -.26. Good J is: a. a normal good b. an inferior good c. an abnormal good d. a bad good
b
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Tottenham's Camera Shop has prepared the following flexible budget for September and is in the process of interpreting the variances. Flexible Budget Price Variance Efficiency Variance Material A $40,000 $1,000F $3,000U Material B $60,000 $500F $1,500U Di...
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The monopolistic competitor is like the perfect competitor because: a. both firms are assumed to maximize profit by producing at the quantity where MR=MC b. both firms make zero economic profit in the long run c. the demand curve is tangent to the average cost curve in the long run d. both a and c
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Freemarket Press, Inc., which is located in Santa Fe, New Mexico, has excess capacity. The company's Utah plant has the following per-unit costs for item no. 89: Variable manufacturing cost$52 Fixed manufacturing cost$21 Variable selling cost$6 Fixed selling cost$10 Traceable fixed administrative cost$3 A...
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A 2% increase in the price of a good reduces the quantity demanded of it by 6%. This means that the absolute value of the price elasticity of demand for this good is: a. 3, and demand is elastic. b. 3, and demand is inelastic. c. 0.33, and demand is elastic. d. 0.33, and demand is inelastic.
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Suppose that you have $500 to deposit in a bank. You can either deposit it into a savings account that offers 4% per annum interest compounded monthly or into an insurance plan that offers an interest rate of 4.1% per annum compounded semi-annually. What is the difference between the two interest rates after one year?
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What is the rate law for the following mechanism in terms of the overall rate constant k ? Step1: A+B{eq}\rightleftharpoons {/eq}C(fast) Step2: B+C→D(slow) Express your answer in terms of k and the necessary concentrations (e.g., k*[A]^3*[D]).
k[A][B]^2
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In a normal distribution with mean 60.0 and standard deviation 10.0, what is the probability of a value between 40.0 and 50.0?
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A stock has a beta of 0.50, a specific risk of $28, and a standard deviation of 15%. A risk-free asset has a return of 3.8%. You add $100,000 to your portfolio. How much can you invest in the risk-free asset so that your portfolio has a standard deviation of 10%? a) $0 b) $40,000 c) $50,000 d) $60,000 e) none of t...
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Jensen's Travel Agency has 9% preferred stock outstanding that is currently selling for $40 a share. The market rate of return is 8% and the firm's tax rate is 34%. What is Jensen's cost of preferred stock? a. 5.94% b. 20.00% c. 7.65% d. 15.30% e. 22.50%
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In the case of a noncancelable lease, the existence of a bargain purchase option: a. is not a criterion for classifying a lease as a capital lease b. would cause a capital lease to become an operating lease c. would cause an operating lease to become a capital lease d. is a criterion for classifying a lease as a ca...
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What is the main action of the beta blockers? a) reduce the levels of adrenaline b) reduce the effects of hormones c) increase the effects of adrenaline d) increase the levels of adrenaline
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You are an investment manager who is currently managing assets worth $6 billion. You believe that active management of your fund could generate between an additional one tenth of one percent return on the portfolio. If you want to make sure your active strategy adds value, how much can you spend on security analysis? ...
$6,000,000
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Bread and Butter Co. exchanged similar used machinery. Bread had accumulated depreciation on the old equipment of $478,500. The old equipment had a book value of $628,500. The new equipment had an invoice price of $780,000. The exchange lacked commercial substance. The new equipment should be recorded at: a) $780,000 ...
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Cash from operating activities minus net investment activities and cash from financing activities equals? a. Cash at the beginning of the year b. Cash at the end of the year c. Dividends paid d. Net income e. None of these
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Who can create a foundation? a. Any two people. b. A former corporation. c. Corporation officers. d. Any two individuals.
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When an industry is declining, many companies exit. How do remaining firms in the industry respond? A. They increase production. B. They decrease production. C. They maintain production. D. They compete more violently for customers.
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In a certain industrial process, viscous liquid RST is transferred from a holding tank to an agitated reactor. The reactor is initially filled with fresh water, and the holding tank is initially filled with water as well, the liquid level in the reactor is initially at maximum, and the pump is off. At t=0 the followin...
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Write the series expansion of the function {eq}\frac{3}{x^3 + 1}{/eq}. List the first four terms. Simplify terms.
3-3x^3+3x^6-3x^9
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Assuming that the cell has a spherelike shape, determine its surface area-to-volume ratio. An average cell has a volume of 5.8 microliters (5.8 x 10^-6 L) and a diameter of 25 micrometers (25 mm).
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An individual who owns common stock in a company acquires all of the rights of a(n): A) bondholder. B) equity holder. C) shareholder. D) A, B, and C are correct. E) None of the choices are correct.
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A population consists of 500 elements. We want to draw a sample of 50 elements from this population. Which of the following statements is correct? a) The sample may consist of repeated elements. b) The sample will consist of 500 elements. c) This is a sampling with replacement problem. d) Each of the 500 el...
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How much revenue did break away collect? Assume that it was not a regressive type of tax, nor was it a gift tax. F. 0.20 * 100% * 1,000,000 = $200,000 G. 0.20 * 1,000,000 = $200,000 H. 0.20 * 100% * 1,000,000 + 1,000,000 = $300,000 J. 0.20 * 1,000,000 + 1,000,000 = $300,000 K. None of the above
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How does accounting help the capital allocation process attract Investment capital? a. Provides timely, relevant information. b. Encourages innovation. c. Promotes productivity. d. a and b above.
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In a general equilibrium with production, which of the following statements is false: (a) In equilibrium, market supply must equal market demand for good 1, good 2, and labor. (b) Firms maximize profit. (c) Individuals' only source of income is from receiving a wage from working in the firms. (d) If the firms have ...
c
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Use Lagrange multipliers to minimize {eq}f(x,y) = x^2 + y^2 {/eq}, subject to the constraint {eq}x + y = 8 {/eq}, assuming x and y are positive.
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Delta Electronics paid a $1.12 dividend. Its growth rate over the past 6 years has averaged 4.42%. If you purchased 300 shares of stock at $45 per share, how long would you have to hold the stock to triple your initial investment?
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According to Ted Levitt, creativity is _____ new things. A) thinking B) doing C) corroborating D) emulating
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Which is the preferred policy instrument for a fixed target policy? a. The interest rate when the target is the money supply. b. The money supply when the target is the interest rate. c. The interest rate when the target is the interest rate. d. The money supply when the target is the money supply.
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Which of the following should not be considered an opportunity cost of attending college? a. money spent on living expenses that are the same whether or not you attend college b. lost salary c. business lunches d. interest that could have been earned on your money had you put the money into a savings account instea...
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Determine the pH of the following two-component solution. {eq}\rm 7.5 \times 10^{-2}\ M\ RbOH {/eq} and {eq}\rm \displaystyle 0.130\ M\ NaHCO_3 {/eq}
12.88
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Consider a four-year project with the following information: initial fixed asset investment = $580,000; straight-line depreciation to zero over the four-year life; zero salvage value; price = $27; variable costs = $22; fixed costs = $210,000; quantity sold = 86,000 units; tax rate = 35 percent. How sensitive is OCF to ...
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The term _____ pertains to the future only. a. fixed cost b. relevant cost c. differential cost d. opportunity cost e. sunk cost.
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I have a standard deck of 52 cards (4 suits, 13 ranks in each suit). I start discarding cards from the top of the deck one-by-one. After each discarding, I draw the top card from the deck and keep it. At the end of the deck, I keep all the cards I've drawn. What is the expected number of pairs of cards of the same rank...
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Suppose the distribution of ACT scores is approximately normal with a mean of 26 and a standard deviation of 6. What is the probability that a randomly chosen student scores at most 14 on the ACT?
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How many cars must be randomly selected and tested in order to estimate the mean braking distance of registered cars in the US to give a 90% confidence that the sample mean is within 1 ft of the population mean? The population standard deviation is known to be 7 ft.
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Suppose the Fed decided to purchase $100 billion worth of government securities in the open market which are directly deposited into the banking system. What impact would this action have on the economy? (a) How will M1 be affected initially? A. Decrease by $100 billion B. No initial change to M1 C. Not enough inf...
D
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Given a circuit that provides a current of $100$ mA to two parallel loads that require $30$ mA and $70$ mA, respectively, the total current supply must be $100$ mA. a) True b) False
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The "valley" of the budget constraints occurs when: a. the total expenditure is less than the consumer's income. b. the marginal rate of substitution is greater than the slope of the budget constraints. c. the marginal rate of substitution is equal to the slope of the budget constraints. d. the marginal rate of sub...
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The Government of the ABC Company has a defined benefit pension plan. On January 1, 2012, the accumulated benefit obligation (ABO) for the plan was $1,500,000. At the end of 2012, the projected benefit obligation (PBO) was $1,400,000. In 2012, there was an actual return on plan assets of $60,000. For 2012, current serv...
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A 12-year, 4% coupon bond currently priced at $1,036.31 pays interest semiannually. What is the bond's yield to maturity? Show all work.
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Suppose the marginal benefit of a good or service is constant, while marginal cost rises as more of the good or service is produced. The socially optimal quantity of the good or service is greater than the equilibrium quantity because the price of the good or service A. exceeds the marginal benefit. B. is less than t...
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Find the probability that on a quiz, Q1 is correct and Q2 is incorrect, given the following information: There are two types of students: Has studied (A) and Has not studied (B). The prior belief is that students have equal probabilities to have studied or not. | Student | Q1 Correct | Q2 Correct | |---|---|---| | A |...
0.2375
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According to the quantity theory of money, which variable in the quantity equation is most stable over long periods of time? a. money b. velocity c. output d. price level
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A bank wants to speculate on the exchange rate of the British pound. The pound's current exchange rate is $2.25 per pound, but the bank thinks that the pound will decline to $2.00 per pound in the near future. Which of the following actions would meet the bank's expectations, and what will be the bank's dollar profit i...
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Which is a valid basis for the null space of the matrix $\begin{pmatrix} 2 & -6 & 0 & 4 & 6 \end{pmatrix}$? a. {(1, 0, 1, 0, 0), (0, 1, 0, 0, 1)} b. {(1, 0, 1, 0, 0), (0, 1, 0, 0, 1), (0, 0, 0, 1, 0)} c. {(1, 0, 1, 0, 0), (0, 1, 0, 0, 1), (0, 0, 0, 0, 1)} d. {(1, 0, 1, 0, 0), (0, 1, 0, 0, 1), (1, 1, 1, 1, 1)}
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Use Stokes Theorem to evaluate: \(\iint_S curl \: F \: \cdot \: dS\) \(F(x, y, z) = -3yzi + 3xzj + 4(x^2 + y^2)zk\), S is the part of the paraboloid \(z = x^2 + y^2\) that lies inside the cylinder \(x^2 + y^2 = 1\), oriented upward.
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A monopolist is confronted with the following inverse demand function: P = 500 - 50Q And the following cost function: C(Q) = 100 + 50Q + 5Q^2 Using marginal analysis, the monopolist will produce __________ units of output where Q is expressed in thousands. a. 4.9 b. 5.0 c. 5.1 d. 9.9
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If $X \sim N(0,1)$ when $x<0$, $X \sim N(0,4)$ when $x>0$, what is E(X)? Is there a general solution for $E[X]$ over an interval of the distribution of $X$ is changing (but maybe has known Expected Values)?
0
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A stock has an expected return of 15.6 percent and a standard deviation of 21 percent. Assume the stock's returns follow a normal distribution. If the distribution of returns is negatively skewed, what is the probability of earning more than 20%?
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Evaluate the multiple integral {eq}\displaystyle \iint_R \frac {x y} {6}\ dA{/eq} where {eq}R{/eq} is the region in the first quadrant bounded by the parabolas {eq}x = y^2{/eq} and {eq}x = 8 - y^2{/eq}.
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Small Business, Inc., has $2,400 in current assets and $1,500 in debt. The Return on Assets is 8% and the Return on Equity is 12%. What is the times interest ratio for Small Business, Inc.?
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According to recent estimates, the average IQ score is 100. Suppose the variable is normally distributed with a standard deviation of 15. If a class of 25 students is randomly chosen, what is the probability that the average IQ score of the class is between 85 and 100?
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7. Under international trade, a country that is labor-abundant such as China _____ a capital-abundant country such as West Africa, while a capital-abundant country such as West Africa _____ a labor-abundant country such as China. a. exports capital goods to, exports capital goods to b. exports labor-intensive goods t...
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The net income reported on the income statement for the current year was $250,000. Depreciation recorded on fixed assets and amortization of patents for the year were $40,000 and $9,000, respectively. Balances of current asset and current liability accounts at the end and at the beginning of the year are as follows: ...
a
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You have $100,000 to invest for the next four years. You are offered an investment that will allow you to reinvest the proceeds at 10% per year compounded continuously. What amount could you afford to pay for this investment? a) $78,691.38 b) $73,575.89 c) $84,236.54 d) $82,193.96
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Shore Co. will receive $6,000 or less in 1 year. The firm estimates that if it receives $6,000, it will retain it all; if it receives between $5,000 and $6,000, it will retain $5,000; and if it receives less than $5,000, it will retain it all. What is the expected amount of the retained funds if the probabilities of re...
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How do you find the integral of #ln(x)# from #[1,e]#?
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Delia Bakery bakes and sells specialty cakes for $22 each. Based on past experience, Delia Bakery has found that its monthly total cost is {eq}2.30x^2 + 65x + 6887 {/eq}, where x is the number of specialty cakes it bakes. Find an expression for the bakery's marginal profit when it bakes x cakes.
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Use the following information to answer this question: Net income = $184,000 Dividends paid = $135,000 Change in retained earnings = -$13,400 Based on this information, we know that: A. the company had a dividend payout ratio of 43%. B. the company had 21,333 shares of common stock outstanding. C. the company is...
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When Best Buy color-coded their aisles, they modified the physical surroundings of their store which is a A. marketing mix B. situational C. sociocultural D. psychological E. pricing influence on the purchase decision process.
B
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The iodine monochloride molecule, ICl, has a bond length of 2.49 Angstroms and a dipole moment of 1.21 D. Calculate the effective charge on chloride in units of electronic charge. Show all signs as 0.5 or-0.5. Do not type the units, only give the numeric answer. Use three significant figures in your final answer.
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You purchased a five-year, zero-coupon bond one year ago for $510.77. The market interest rate is now 6.25%. If the bond had 15 years to maturity when you originally purchased it, what is your total return on the bond? (Assume semi-annual compounding.) A) 9.51% B) 10.31% C) 11.84% D) 14.09%
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Let {eq}\displaystyle \sum_{k=1}^\infty a_k {/eq} be a series such that {eq}a_k > 0 {/eq} for all {eq}k {/eq}. Which of the following statements is/are true? A) {eq}\displaystyle \lim_{k \to \infty} a_k = 0 {/eq}. B) {eq}\displaystyle \sum_{k=1}^\infty a_k \text{ must converge}. C) If {eq}\displaystyle \lim_{k \...
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What is the probability that the sample proportion will be less than 0.65, given that the proportion of voters who are against Proposition 55 is 0.69 and a random sample of 35 voters is obtained?
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If the quantity of bonds demanded exceeds the quantity of bonds supplied, then: a. the interest rate will rise, b. the interest rate will fall, c. the supply of bonds will shift outward, d. both b and c, e. none of the above.
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How can I approach the problem of determining the signature of a transposition differently, given the discriminant definition $$P(x_1,...,x_n)=\prod_{i<j}(x_i-x_j)$$, the permutation definition $$p(x_1,\dots,x_n)$$, the signature definition $$P(p(x_1,...,x_n))=\sigma(p)P(x_1,...,x_n)$$, and the transposition definition...
-1
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Suppose that all investors expect a zero rate of return for one year. If this is true, what value would an investor attribute to a $100 denomination bond with 2 years to maturity? What value would an investor attribute to a $100 denomination bond with 3 years to maturity?
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Jarvis, Inc. uses a periodic inventory system and the average cost retail method to estimate ending inventory and cost of goods sold. The following data is available from the company records, for the month of September 2013: Beginning merchandise inventory: 90 units at $23 Purchases: 360 units at $28 Freight-in: $43...
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Darden Diner, Inc., has a debt ratio of 0.20, its cost of debt is 9.2 percent, and its cost of equity is 14 percent. Furthermore, the firm's tax rate is 34 percent. What is the firm's weighted average cost of capital (WACC)?
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The target capital structure for Jowers Manufacturing is 49% common stock, 18% preferred stock, and 33% debt. If the cost of common equity for the firm is 20.1%, the cost of preferred stock is 11.3%, the firm's tax rate is 35%, and the before-tax cost of debt is 9.4%, then what is Jowers' cost of capital?
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Find the volume $V$ of the solid obtained by rotating the region bounded by the curves $2x = y^2, x = 0, \text{ and } y = 4$ about the $y$-axis. Sketch the region, and the solid with a typical disk or washer.
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Samsung and Apple are considering launching a new version of their respective handsets. The choices for each firm are to Enter or to Wait. The two firms make these choices simultaneously. The payoffs are as follows: If both firms choose to Enter, the payoff is 2 to each firm. If both firms choose to Wait, the payoffs ...
D
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Fuzzy Button Clothing Company is considering replacing one of its machines with either Machine A or Machine B. Both machines require a $38,500 cash investment, and both have useful lives of five years. However, the machines have different annual cash inflows and costs. Machine A provides net cash inflows of $10,000 in ...
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Suppose the production function is {eq}f(x,y) = x^\frac{1}{2}y^\frac{2}{3} {/eq}. The marginal product of labor is: Select one: a. {eq}MP_L = \frac{1}{2}x^{-\frac{1}{2}}y^\frac{2}{3} {/eq} b. {eq}MP_L = x^\frac{1}{2}y^{-\frac{1}{3}} {/eq} c. {eq}MP_L = \frac{1}{2}x^\frac{1}{2}y^\frac{2}{3} {/eq} d. {eq}MP_L = ...
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The cost of abnormal idle time is charged to: a. Overhead. b. Direct labor. c. Direct labor and overhead. d. Process loss.
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Equipment with a cost of $157,000 and accumulated depreciation of $102,500 is exchanged for equipment with a fair value of $82,500, equipment with a fair value of $65,000, and $40,000 cash is received. The exchange lacked commercial substance. At what cost should the new equipment be recorded? a. $157,000 b. $82,500...
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On December 31, 2010, Olivia's Corporation had 12,500 shares of $100 par common stock and 200 shares of $100 par 8% cumulative, nonparticipating preferred stock outstanding. The board of directors declares cash dividends totaling $150,000 on December 31, 2010. Both classes of stock have the same liquidating value. Wha...
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Suppose {eq}z{/eq} is a function of {eq}x{/eq} and {eq}y{/eq} and is given by: {eq}z = (x^2)(e^y){/eq}. Suppose {eq}(x, y){/eq} changes from {eq}(2, 1){/eq} to {eq}(2.50, 1.25){/eq}. Calculate the differential dz.
3e
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Why do firms with a higher proportion of fixed costs than variable costs prefer higher activity levels? a. At higher activity levels, the fixed cost per unit increases. b. At higher activity levels, the fixed cost per unit decreases. c. At higher activity levels, the fixed cost per unit remains the same. d. At high...
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You have 500.0 mL of a buffer solution containing 0.30 M benzoic acid and 0.20 M sodium benzoate. What will the pH of this solution be after the addition of 20.0 mL of 1.00 M HCl solution? pKa = 4.20
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Which of the following is not included in the calculation of GDP? A. Purchase of a new home B. An increase in the stock market value C. A library spending $100,000 to buy 10,000 books D. Purchase of the new stock market data by brokerage firms
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Ajax Corporation manufactures all-terrain vehicles (ATV) in its Ajax, Ontario Plant. Identify an appropriate cost driver that may be used to assign the following cost to each line of ATVs. Cost: Assembly line workers' wages and benefits. a. Machine hours b. Number of parts c. Number of finished vehicles d. Enginee...
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You recently purchased a $1,000 bond for $1,004. The bond pays interest semiannually at an annual rate of 5%. The next interest payment is due in 6 months. What is the amount of the interest payment? A) $2.00 B) $2.50 C) $50.00 D) $50.20 E) none of these.
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Which of the following requirements do not have to be met in a Section 351 transaction? a) In the aggregate, the transferors of property to the corporation must collectively control the corporation immediately after the transfers. b) All transfers of property to a corporation must be made simultaneously to qualify fo...
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An analysis of the costs and benefits of a proposed project is termed: A) feasibility study. B) corporate valuation model. C) incremental cash flow analysis. D) the weighted average cost of capital. E) the adjusted present value model.
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A firm currently faces the following costs and revenues. Its Production costs: 100 Q and Revenue: 100 Q - 0.25 Q 2 How much profit does the firm make? a. 0 b. $2,500 c. $5,000 d. $7,500
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What sample size is required to be 95% confident that the estimate is within 0.03 of the true proportion, given that approximately 30% of calculus-based physics majors enjoy dining out at least once a week?
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Assume a = 400, b = 0.75, I = 350, Yf = 1600. Find the equilibrium level of output and income.
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Under a perpetual inventory system, which of the following is not an essential source document used to record merchandise transactions? a. Purchase invoice b. Sales invoice c. Sales slip d. Shipping document
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