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An investment will pay you $100 at the end of each of the next 3 years, and $500 at the end of year 4. What is its present value if other investments of equal risk to this one earn 6 percent annually? a. $622.74 b. $712.10 c. $666.67 d. $820.00 e. $615.36
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Given the equation {eq}\displaystyle \int_0^8 \sqrt {25 - (y - 4)^2} \ dy + \int_0^8 \sqrt {(y - 4)^2} \ dy{/eq}, we can make a geometric interpretation of the expression in the equation. What would the area of the region be in this case? a) 25 b) 100 c) 75 d) Cannot be determined
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If a company's objective is to support its stock price in the event of a market downturn, it would be advised to authorize: A. a Dutch auction tender offer effective in 30 days. B. a tender offer share repurchase at a fixed price effective in 30 days. C. an open market share repurchase plan to be executed over the n...
C
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For most students, the largest single cost of a college education is: a) The wages are given up to attend school, b) Tuition, fees, and books, c) Room and board, d) Transportation, parking, and entertainment.
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The method of pricing inventory by totaling the unit costs of the items and dividing the total by the number of units is: a. FIFO method b. weighted average c. LIFO method d. specific identification
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A firm has fixed costs of $150,000. Its total costs, in dollars, are given by the equation {eq}TC = 150,000 + 11Q + 0.02Q^2 {/eq}. What are the firm's total fixed costs and its total variable cost function? a. Fixed cost = $150,000; Total variable cost = {eq}11Q + 0.02Q^2 {/eq} b. Fixed cost = $150,011; Total varia...
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What is the output of the program? #include<stdio.h> #define MAN(x,y) ((x)>(y)) ? (x):(y); int main() { int i=10, j=5, k=0; k = MAN(++i, j++); printf("%d, %d, %d\n", i, j, k); return 0; } Options are: answer A 12, 6, 12; answer B 11, 5, 11; answer C 11, 5, Garbage; answer D 12, 6, Garbage
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Treating an annuity with cash inflows and outflows as a single account with a balance that is the net of cash inflows and outflows is called the: Multiple Choice capital account. net present value account. t-account. current assets account. interest only account.
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Suppose we have a cycle graph on $8$ vertices. Find the number of ways to choose $3$ vertices up to rotation.
7
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An overapplied manufacturing overhead will result if: a. Actual overhead is less than applied overhead. b. The predetermined overhead rate is not accurate. c. Estimated direct materials costs are less than estimated overhead costs. d. Direct manufacturing labor costs are more than estimated. e. None of the above.
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What is the probability that three or fewer visitors will arrive in any given minute, given that the number of new visitors to a website in one minute is distributed as a Poisson variable with a mean of 4.0 per minute?
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Use implicit differentiation to find an equation of the tangent line to the curve $y^2 + xy + x^2 = 3$ at the point $(1,1)$.
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Let $X=C[0,1]$ and $M=\{f \in C[0,1] : f(0)=f(1)=0\}$. Construct the space $X/M$ and find the norm of the element of $X/M$ that contains $f(t)=t$. That is, find $||t+M||=\inf_{g \in M} ||t-g||$.
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If $q(x)$ is a polynomial and $\mathbb{Z}$ is the set of integers, then is it true that $$ \dfrac{q(x)}{x} \in \mathbb{Z}[x] \quad \text{if and only if} \quad q(x) \in x \mathbb{Z}[x]? $$
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Howard Industries' actual direct labor cost was $67,000 during the current period. Howard reported an unfavorable direct labor rate variance of $1,800 and a favorable direct labor efficiency variance of $2,900. What was the standard direct labor cost for actual output during the period?
$68,100
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Why is the limit as $x\to2n\pi$ of the function $\frac{\sin(x)}{x-2n\pi}$ equal to 1, given that the function is undefined at $x=2n\pi$ and the graph appears to show a curve with a value greater than 1 at $x=2n\pi$?
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When production is increasing, which of the following statements is correct? a. Average fixed cost is constantly decreasing. b. Average variable cost is increasing at a decreasing rate. c. Average total cost is increasing at a decreasing rate. d. Marginal cost is increasing at a decreasing rate.
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Which of the following are likely to give the most conservative estimates of project cash flows? a. analysts' estimates made during the first week of the project b. analysts' estimates made during the last week of the project c. computer simulations d. analysts' estimates made prior to the announcement of the proje...
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Assume you can produce corn with either Full-time workers or Part-time workers. A Full-time worker can produce 30 bags per day and a Part-time worker can produce 15 bags per day. If you have 6 Full-time workers and 8 Part-time workers, what is the opportunity cost of hiring one additional Full-time worker? A. 16 Part-...
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The long-run equilibrium price in a competitive constant-cost industry equals (a) the minimum point of the firms' AVC curves. (b) the point of tangency of the firms' ATC and D curves. (c) the minimum point of the firms' ATC curves. (d) the point of tangency of the firms' ATC and MC curves. (e) none of the above.
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The underfunding or overfunding of the plan at year end will be disclosed in the a) balance sheet of the plan sponsor. b) balance sheet of the plan trustee at cost. c) income statement of the plan sponsor. d) notes to the financial statements of the plan sponsor.
d
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A firm reports earnings of $768 million and cash flow from operations of $1,679 million. What was the dollar amount of accruals listed in the cash flow statement? (Enter your answer in millions rounded to 1 decimal place.) Accruals $ million
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A 2-year Treasury security currently earns 8.5 percent. Over the next two years, the real interest rate is expected to be 4.55 percent per year and the inflation premium is expected to be 1.55 percent per year. Calculate the maturity risk premium on the 2-year Treasury security.
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Al's Electronics Corporation has $80,000 of operating income from its retail store business. It also has $10,000 of short-term capital loss and $5,000 of long-term capital loss. Al's Electronics' total taxable income is: A. $80,000. B. $75,000. C. $70,000. D. $65,000.
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All of the following were potential sources of the financial crisis EXCEPT: A. Glass-Steagall. B. Mortgage lenders cutting prices too low. C. Homebuyers taking on too much debt. D. The increase in subprime mortgages. E. None of the above.
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Which of the following approaches to assess competitive advantage is based on the view that non-economic factors can have a significant impact on a firm's financial performance? A. The triple-bottom-line approachB. The economic value creation frameworkC. The accounting profitability approachD. The balanced-scorecard
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Transformational change seeks to {eq}\text{__________} {/eq} employees to change their behaviors. A. encourage B. motivate C. stimulate D. force E. coerce
B
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Which of the following statements is true? a. The aggregate supply curve shows the direct relationship between the price level and the quantity of real output supplied. b. The aggregate demand curve shows the direct relationship between the price level and the quantity of real output demanded. c. The aggregate deman...
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The number of lost-time accidents occurring over a period of 10 days will be no more than 3, given that lost-time accidents occur in a company at a mean rate of 0.7 per day. What is the probability?
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Consider two cylindrical conductors made of the same material connected in series. Conductor 1 has a radius {eq}r_1 = 0.22 \ mm {/eq} and length {eq}L_1 = 0.70 \ m {/eq}. Conductor 2 has radius {eq}r_2 = 0.30 \ mm {/eq} and length {eq}L_2 = 0.70 \ m {/eq}. A potential difference {eq}\Delta V = 10.0 \ V {/eq} is ap...
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In a sample of 250 customers, what is the probability that the sample mean bill will be less than $67, given that the mean bill per person is $65 and the standard deviation is $10?
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Write an integral that gives the area of the surface with parametric equations x = u^2, y = uv, z = 1/2 v^2, 0 \le u \le 1, 0 \le v \le 2.
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Hosmer Company completed 312,000 units during the year at a cost of $7,800,000. The beginning finished goods inventory was 22,000 units at $440,000. Determine the cost of goods sold for 325,000 units, assuming a FIFO cost flow
$8,015,000
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Find the unit tangent vector to the curve {eq}r(t)=2e^{2t} \vec{i}+e^{2t} \vec{j}-3e^{-2t} \vec{k}{/eq} at the point where {eq}t= \ln 2{/eq}
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Determine the fraction of the magnitude of kinetic energy lost by a neutron (m = 1.01 u) when it collides head-on and elastically with a target particle at rest which is 139 (m = 1.01 u).
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Consider the following product demand for the last four years: YEAR : 1 2 3 4 DEMAND : 7 9 13 8 Calculate the Mean Absolute Deviation. a. 3.0 b. 1.0 c. 2.3 d. 1.75
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Lucerne Products Company reports the following information for the current year, which is its first year of operations. Direct materials used $247,500 Direct labor 342,000 Variable overhead 83,600 Fixed overhead 163,200 Unadjusted net income 429,000 Ending inventory 72,200 If the company allocates fixed manufac...
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As a college student, you've likely taken out one or more student loans to pay for your college expenses. Suppose you take out a loan with a 2.0% required monthly interest rate, with quarterly compounding. What would be the effective annual rate on the loan?
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Evaluate the integral. {eq}\int_0^{2\pi} x \sin (x) \cos (x) dx {/eq}
-\frac{\pi}{2}
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Mark wants to calculate the P/E ratio for His Company as of December 31, 2013. Mark has gathered the following information from the company's financial statements and other sources: - Total dividends paid during 2013: $50,000 - Earnings per Share for 2013: $4 - Average Price of the company's common stock during 2013...
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How can I evaluate the integral $$\lim_{\lambda\rightarrow \infty} \frac{1}{2\lambda}\int_{-\infty}^{+\infty}\sin^2(x)e^{-|x|/\lambda}dx$$ by using the Dominated Convergence Theorem?
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Given the cost function {eq}c(y) = \frac{1}{3} y^3 - 12y^2 + 100y {/eq}, what is the value of the marginal cost (MC) when the variable y equals 5?
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Find the probability of obtaining x = 2 heads in n = 3 tosses of a fair coin. P(2 heads) =
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Company X uses a joint processing system for its two products, Y and Z. As a result of using the physical volume method of joint cost allocation instead of the net realizable value method, they have overstated the unit cost for product Z and understated the unit cost for product Y. If Company X prepares separate financ...
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Twenty years from now, you want to spend $175,000 on a fancy car. How much must you deposit as a lump sum today to achieve this goal at an annual interest rate of 6.6 percent? A. $54,208.16 B. $48,740.95 C. $57,911.08 D. $40,019.82 E. $51,446.60
B
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In 2010, Heston Corporation constructed assets which cost $1,000,000. The weighted average accumulated expenditures on these assets during 2010 was $600,000. To help pay for construction, Heston Corporation borrowed $440,000 at 10% on January 1, 2010. Funds not necessary for construction were invested in short-term sec...
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Suppose the following bond quote for the British government has an annual coupon of 3.5%. The bond has a face value of {eq}\pounds {/eq}100. If the bond has a yield to maturity of 4.5% and a modified duration of 6, how much (in {eq}\pounds {/eq}) will the price of the bond change if interest rates were to rise 75 basis...
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A firm has decided to lease a new computer. The lease term is for 4 years. The lease calls for 5 payments of $3,000 per year with the first payment occurring immediately. The computer would cost $12,000 to buy and would be straight-line depreciated to a zero salvage value over 4 years. The firm's tax rate is 30%. Dete...
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Assume the following data for the year 2012. Amount Accounts receivable at Dec. 31, 2012$60,000 Credit sales$1,500,000 Collections from credit customers $1,400,000 Customer accounts written off as uncollectible $15,000 At December 31, 2012, before considering the information above, the allowance for doubtful accoun...
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Identify the options that are non-parametric tests. (a) Two-sample t-test (b) 1-sample z-test (c) Chi-square test (d) Paired t-test (e) One-sample t-test (f) 2-sample t-test (g) ANOVA (h) Mann-Whitney U-test (i) Wilcoxon signed rank test (j) Kruskal-Wallis H-test (k) All of the above
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Find $$ \lim_{n \to \infty}\left\{2n^2\cos\left(1 \over n\right)\right\} \cos\left(1 \over n\right) $$ where $\left\{x\right\}= x - \left\lfloor x\right\rfloor$ is the fractional part.
0
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The circuit below shows an RLC low-pass filter (sometimes called a Butterworth filter) used to smooth out the output of a numeric-to-analog converter in a computer. It is called a low-pass filter because the impedance of the capacitor is low at high frequencies, and the output will follow the input at only the lower fr...
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A sphere with radius {eq}R {/eq} contains charge, whose volume charge density is {eq}\rho(r) = \frac{Q}{r} {/eq}. The sphere is isolated in space. How much work is required to bring a charge {eq}q {/eq} from infinity to the center of the sphere?
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How would this be correct accounting treatment? Machine is sold for $10,000. The machine originally cost $15,000, and the accumulated depreciation on the machine is $13,000. a. Debit cash, $15,000; credit accumulated depreciation, $15,000. b. Debit cash, $10,000; credit accumulated depreciation, $10,000. c. Debit ca...
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Find the extreme values of the function f(x,y) = xy on the sphere x^2+y^2=128.
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Titan Football Manufacturing has the following inventory data: January 1, beginning inventory of 49 units at $120 January 8, purchases of 118 units at $133 February 5, purchases of 79 units at $146 February 20, sales of 92 units March 11, purchases of 149 units at $160 March 27, sales of 110 units Using FIFO, ca...
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Which of the following would be subtracted from net income when determining cash flows from operating activities under the indirect method? a. A decrease in utilities payable. b. Patent amortization expense. c. A decrease in prepaid rent. d. A loss on the sale of a depreciable asset.
a
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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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The relationship between the radius r and the surface area S of a sphere is S = 4πr^2. Use differentials to find the approximate change in the surface area of a sphere when the radius is increased from 10 centimeters to 10.2 centimeters. The surface area increases by about _____ centimeters squared.
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The equilibrium price in a perfectly competitive industry is $30 and the marginal cost of the last unit of the good produced is $30. Select all of the statements below that are correct. a. Each firm in the industry is operating efficiently. b. Firms in the industry are earning zero economic profit. c. The industry i...
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What is the predicted effect on the market price of eggs if the minimum wage increases? Briefly explain. a. Prices will remain the same. b. Prices will increase. c. Prices will decrease. d. It is unclear because the demand curve for eggs is not given.
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An employer has offered a starting yearly salary of $28,000 with a guaranteed raise of $400 per year. If you plan to remain in that job for n years, find a linear function g giving your salary after n years. g(n) = $_____
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Evaluate the F*n*ds where F(x,y,z)= (xy, yz, xz) and S is the surface of the cube bounded by x=1 x=2 y=1 y=2 z=1 and z=2
4.5
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Use the dividend growth model to determine the value of this stock, assuming a required rate of return of 14 percent. Round your answer to the nearest $100. Year 1 Dividend: $4.03 Growth Rate: 6.00%
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Smyer Industries had a $75,000 balance in retained earnings on January 1, and the company paid $65,000 in dividends for the year. If the ending balance in retained earnings is $95,000, what was the company's net income? a. $35,000. b. $65,000. c. $95,000. d. $160,000.
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How large of a sample is needed in order to be 94% confident that the sample proportion will not differ from the true proportion by more than 4%?
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Find the volume {eq}V{/eq} of the solid obtained by rotating the region bounded by the curves {eq}2x = y^2, \; x = 0, \; y = 4{/eq} about the {eq}y{/eq}-axis.
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The marginal propensity to consume (MPC) is .60. Autonomous consumption is $200 and investment is $500. Net taxes increase by $40. Find the maximum change in Real GDP using the multiplier.
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A government bond issued in Germany has a coupon rate of 5%, a face value of 100 euros, and matures in five years. The bond pays annual interest payments. Calculate the price of the bond (in euros) if the yield to maturity is 3.5%. A. 100.00 B. 106.77 C. 106.33 D. 105.00
B
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John Company is considering an investment in equipment costing {eq}\$150,000 {/eq}. The equipment is expected to generate an annual cash inflow of {eq}\$70,000 {/eq} and a cash outflow of {eq}\$12,000 {/eq} per year. The estimated life of the project is 10 years with no residual value. Assume a discount rate of {eq}...
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Operating income increased by $30,000 when activity was increased by 10,000 units. Fixed costs do not change in total when there is a change in activity. Fixed costs equal: a) $30,000. b) $3,000. c) $300,000. d) $30,000 per unit.
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Use the following information about Rat Race Home Security, Inc. to answer the questions: Average selling price per unit $240. Variable cost per unit $210 Units sold 451 Fixed costs $8,384 Interest expense $12,056 Based on the data above, what will be the resulting percentage change in earnings per share of Rat R...
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The City of Brunswick is considering offering a citywide recycling program. At the initial meeting, the mayor indicated that she would like to bring the city back into balance by the end of the year. City revenue for the first seven months of the current year is estimated at $4,600,000. Expenditures for the period are ...
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$$\lim_{n \to \infty} \int^{1}_{0} n x e^{-n x^2} \sin(n x^2) dx$$ Show that the integrand has a maximum at $x = \frac{1}{n}$, and calculate this maximum. Then, note that $$\int^{1}_{0} n x e^{-n x^2} \sin(n x^2) dx \leq \frac{\sqrt{n}}{2}$$ to obtain the desired result.
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How to prove that $$\int_{\gamma}\frac{dw}{w^4-1}=\frac{\pi(i-1)}{2}$$ along a triangular path with vertices at $-1+i$, $2-i$, $2i$, given that the enclosed area $\gamma$ has non-continuous points at $1$ and $i$, and using Cauchy's integral theorem? Is using circles with very small radius centered at the non-analytic p...
\frac{\pi(i-1)}{2}
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The _____ is always U-shaped. a. explicit costs b. implicit costs c. fixed cost d. variable cost e. average fixed cost f. average total cost g. marginal cost h. diminishing marginal product of labor i. increasing marginal product of labor
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A company that makes organic fertilizer has supplied the following data: Bags produced and sold: 240,000 Sales revenue: $2,112,000 Variable manufacturing expense: $684,000 Fixed manufacturing expense: $612,000 Variable selling and administrative expense: $228,000 Fixed selling and administrative expense: $312,000...
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You are considering investing in one of two well-diversified portfolios. Portfolio A has an expected return of 10% and a beta of 1.45, while Portfolio B has an expected return of 9% and a beta of 0.95. Assuming you are a rational risk-averse investor and the risk-free rate is 2%, which of the two portfolios should you...
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You have to buy an emery board with a minimum of 400 grams and a maximum of 600 grams. You randomly select 5 emery boards. The average weight is 100 grams and standard deviation is 10 grams. The weights are normally distributed. What is the probability that a randomly selected board will meet your weight requirement?
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If $\mathrm{H}$ is a Hermitian operator, and $\psi$ is an eigenfunction of $\mathrm{H}$ corresponding to the real eigenvalue $E$, show that $$\langle\langle\psi|\mathrm{H}-E\;|\;\psi\rangle\rangle = 0$$.
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The contribution margin in break-even analysis is derived by subtracting: (a) Fixed costs from price. (b) Fixed costs from variable costs. (c) Price from variable costs. (d) Variable cost per unit from fixed costs. (e) Variable cost per unit from price.
e
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An automobile giant headquartered in the United States sells high-end bikes across the world. It wants to enter an emerging market. Customers in the market cannot afford the types of accessories used in the bikes. Thus the regional branch of the organization makes an autonomous decision to remove the accessories and to...
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BMW has developed two new print ads designed to appeal to women. One ad uses local scenes from around its South Carolina plant and emphasizes the "made in America" aspect. The other ad uses a spokesperson and emphasizes the safety of the car. Which type of ad effectiveness measure should BMW use to test which ad is mos...
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According to new classical economists, the best way to lower unemployment is to _____. a. increase the supply of labor b. regulate labor markets more effectively c. increase the demand for labor d. none of the above
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A very long, straight wire carries a current of 0.13 A. This wire is inside a 100-turn solenoid (length = 30 cm, radius = 3.0 cm) that also carries a current. Find the current in the solenoid so that the net magnetic field at the center of the solenoid is zero.
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In which of the following situations can you say, without further information, that consumer surplus decreases relative to the market equilibrium level? a. Your state passes a law that pushes the interest rate (i.e., the price) for payday loans below the equilibrium rate. b. The federal government enforces a law that...
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Assume a few years ago you have bought a machine for your company for $21,000. Now it can be sold on the open market for $12,000 and its current BV is $18,000. How much is the sunk cost of your machine?
9000
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Assume that the price level is fixed in the short-run, the demand for money is given by: {eq}M_d = 5500 + 0.5Y - 100i {/eq}. (2) The supply of money {eq}M_s = 2,000 {/eq}, and the price level P = 1. (3) Real GDP Y is 5,000. What is the level of interest rate in the country?
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Forral Company has never paid a dividend. But, the company plans to start paying dividends in two years that is, at the end of Year 2. The first dividend is expected to equal $2 per share. The second dividend and every dividend thereafter are expected to grow at a 5% rate. If investors require a 15% rate of return to ...
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Consider a monopolist who faces the following demand function: {eq}P = 100 - 3Q {/eq}. His marginal costs are given by {eq}MC = 10 + Q {/eq}. What is the monopolist's profit-maximizing output?
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What is the equation of the tangent line to the curve y^2 = x^3 - 2x + 3 at the point (1, 2)?
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What's the present value of a 4-year ordinary annuity of $5,000 per year plus an additional $10,000 at the end of year 4 if the annual interest rate is 6%?
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A parent company owns a 70 percent interest in a subsidiary whose stock has a book value of $27 per share. On the last day of the year, the subsidiary issues new shares for $27 per share, and the parent buys its 70 percent interest in the new shares. Which of the following statements is true? a) Since the sale was mad...
c
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The most recent financial statements for Schenkel Co. are shown here: Income Statement Balance Sheet Sales $16,400 Current assets $12,800 Debt $18,500 Costs 11,100 Fixed assets 32,400 Equity 27,300 Taxable income $5,300 Total $45,200 Total $45,200 Taxes (40%) 2,120 Net income $3,180 Assets and costs are pr...
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Find the volume of the region enclosed by the planes 4x + y + 3z = 12, y = 3x and lying in the first octant.
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Compute the payback period statistic for project X and recommend whether the firm should accept or reject the project with the cash flows shown in the chart if the maximum allowable payback is 4 years: YearCash Flow 0-$1,450 1$250 2$380 3$620 4$1,000 5$100 Payback period =
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Why does $\mathbb{Z}/2\mathbb{Z}$ have no zero divisors when it contains $[1][1] = [2] = [0]$?
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A stock price is $200, and the standard deviation is $15. The risk-free rate is 5 percent and the market risk premium is 7 percent. The beta of this stock is 0.8. The 95 percent confidence interval for a one-day change in this stock's price is approximately a. $0 to $29 b. $4 to $26 c. $3 to $36 d. $12 to $28 e. $...
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Which of the following general statements about the term premium are true? Select all that apply. a. The greater the interest rate risk, the larger the term premium. b. The shorter the time to maturity, the larger the term premium. c. The longer the time to maturity, the larger the term premium. d. If there were no...
a, c, d
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How do you evaluate the definite integral $\int_{0}^{\pi}\left(2\sin\left(x\right)\cos\left(x\right)\right) \, dx$?
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