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$$ \lim_{\beta\to\infty}\int_0^\beta dx \sin\beta x $$ Evaluate the limit of the integral.
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The liquidity premium modification helps explain why the yield curve: A) is almost always flat B) is usually ascending C) inverts before recession D) has ST rates usually higher than LT rates
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Duchenne muscular dystrophy (DMD) is an X-linked recessive disorder caused by mutations in the dystrophin gene. What type of mutation could be found in both male and female patients with DMD? a. hypomorphic b. hypermorphic c. dynamic d. none of the above
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The ABC Corporation has a capital structure of 20% debt and 80% equity. The current before-tax cost of debt is 6% and the tax rate is 40%. The risk-free rate is 4% and the risk premium on the market portfolio is 8%. Using the adjusted present value model, compute the weighted average cost of capital given that the leve...
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Prove $$\int_{0}^{a} f(t) dt +\int_{0}^{b} f^{-1}(t)dt \geq ab$$ where $f$ is continuous, strictly increasing and $f(0)=0$, $a>0$ and $b\in f((0,\infty))$.
$ab$
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Find the upper bound on the error if the sum of the series {eq}\sum^∞_{n=1}\frac{(-1)^n}{n^6} {/eq} is approximated by the partial sum {eq}S_{10} {/eq}.
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A manufacturer of cheese-filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravi...
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Which of the following soundings are most likely to indicate severe heat during the summertime? a) Conditional instability at a pressure less than 850 hPa b) Low dewpoint depression in the near-surface layer c) A near-surface inversion with high dewpoint depression above and no conditional instability d) A strong j...
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The costs of internal failure to an organization would likely include which of the following? A. Overtime B. Down time for rework C. Rework D. Scrap
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Gardner Electric has a beta of 0.88 and an expected dividend growth rate of 4.00% per year. The T-bill rate is 4.00%, and the T-bond rate is 5.25%. The annual return on the stock market during the past 4 years was 10.25%. Investors expect the average annual future return on the market to be 12.00%. Using the SML, what ...
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Lyons Company deducts insurance expenses of $105,000 for tax purposes in 2019, but the expense is not yet recognized for accounting purposes. In 2020, 2021, and 2022, no insurance expense will be deducted for tax purposes, but $35,000 of insurance expense will be reported for accounting purposes in each of these years....
a
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Levine Corp. reported the following financial data for 2009: Cash Sales $1,000,000 Credit Sales $4,000,000 Total Liabilities $5,000,000 Stockholders' equity $1,000,000 Accounts Receivable (net) 1,250,000 Inventory 250,000 Total Current Assets 3,500,000 Total Assets 5,000,000 What is the total amount of expens...
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Galaxy United, Inc., 2009 Income Statement ($ in millions) Net sales $8,500 Less: Cost of goods sold7,190 Less: Depreciation410 Earnings before interest and taxes900 Less: Interest paid82 Taxable income818 Less: Taxes286 Net income$532 Galaxy United, Inc., 2009 Balance Sheets ($ in millions) 2008200920082009 Cash$1...
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The Cournot duopoly model assumes that: A. each firm decides what price to charge and that their rivals will not respond. B. each firm decides what price to charge and that their rivals will respond. C. each firm decides how much to produce and that their rivals will not respond. D. each firm decides how much to pr...
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If a firm has net income of $100,000, depreciation expense of $40,000, and total fixed costs of $50,000, then its operating cash flow is: a. $90,000. b. $130,000. c. $80,000. d. None of the above.
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Tess Company is considering replacing machine R with machine S. Machine R has a book value of $39,500 and a remaining five-year life. Machine S costs $93,000 and will be depreciated straight-line to a zero estimated salvage value. Machine S will reduce operating expenses by $24,000 a year for five years. The company's ...
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Find and simplify $\frac{f(x+\Delta x,y-f(x,y))}{\Delta x}$ for the function $f(x,y)=7x+2y^{2}$.
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One hundred adults are randomly selected (without replacement) from a group of 500. Let X be the number of those 100 adults that are 65 or older. Let Y be the number of those 100 adults that are 75 or older. For the following, give a formula for the quantity in terms of X and/or Y, and then give a numerical answer. Giv...
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When the economy is in a recession, expansionary fiscal policy can be used to stimulate and encourage economic growth. Which of the following scenarios represent expansionary fiscal policies from both a supply and demand perspective at the same time? When choosing the answer, please look if it meets three description, ...
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Suppose your firm's marginal cost of capital is $40 million for the first $100 million invested, $80 million for the next $100 million invested, and $120 million for any investment beyond that. Your firm's debt/equity ratio is 4/6 and the cost of debt is 8%. If your firm's tax rate is 35% and the cost of unlevered equi...
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The real risk-free rate is 2.15%. Inflation is expected to be 2.85% this year, 4.7% next year, and 2.55% thereafter. The maturity risk premium is estimated to be equal to 0.05(t - 1)%, where t = number of years to maturity. If a 5-year corporate bond yields 8.45%, what is the default risk premium on the 5-year corporat...
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A perpetual annuity will incur an interest payment of $1 per year; a calculation interest rate $r$ is assumed. We are in the time $t = 0$, the first payout is in $t = 1$. Could you give me a hint about how to calculate it?
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In calculating the risk associated with two potential projects (A & B), which of the following statistical calculations indicates that the projects are equally risky? i. The standard deviation of A is 100, and the coefficient of variation of A is 80.912 ii. The standard deviation of B is 1,000, and the coefficient of...
e
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Which of the following is true? a. Straight-line amortization of bond premiums and discounts is preferred by the accounting profession. b. Straight-line amortization of bond premiums and discounts results in a constant interest expense. c. Straight-line amortization of bond premiums and discounts results in an incre...
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Calculate $$\int_C (x^2+y^2)i\ dz,$$ where $z=x+iy$ and $C$ is the circle of radius 4 centered at the origin traversed counterclockwise.
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What sample size is needed to ensure that the 99% confidence interval for the population mean is at most m = 3, given a population with mean μ = 50 and standard deviation σ = 20?
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If the rate of return on the stock market next year will be 0.1 if the economy is strong, 0.07 if the economy is average, and 0.05 if the economy is weak, then what is the expected return on the stock market? Weak Economy = 10% Occurs 20% of the time Average Economy = 50% of the time Strong Economy = 30% of the time
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What does it indicate if the average collection period in days is increasing? a. Management is doing a good job of collecting their receivables. b. Management is doing a poor job of collecting their receivables. c. There is an increase in sales. d. There is a decrease in sales.
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What is the market price of a 1,000, 10 percent bond if comparable market interest rates drop to 8 percent and the bond matures in 20 years?
1,196.36
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Which best describes the ability of small U.S. firms to protect their trademarks? A) perfect competition B) monopolistic competition C) oligopoly D) monopoly
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When preparing a contribution margin income statement, which of the following is true? A) When income is higher under absorption costing, variable costing must be under. B) When sales revenue is greater than production, absorption costing and variable costing will give the same operating income. C) When production i...
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Calculate the cash paid for inventory under the following data: Beginning Merchandise Inventory: $200,000 Ending Merchandise Inventory: $150,000 Purchases: $1,000,000 Purchase Returns and Allowances: $60,000 Purchase Discounts: $40,000 Freight-in: $50,000 Net Purchases: $950,000
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Which one of these is the first element on the income statement? a. net income b. gross profit c. operating profit d. operating revenue
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A firm has preferred stock with a current market price of $45 a share. The preferred stock pays an annual dividend of $3.25 per share and has a par value of $30. Flotation costs associated with the sale of preferred stock equal 5% of the market price. The company's marginal tax rate is 40%. Therefore, the cost of prefe...
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What is the probability that the sample proportion will be within ±.03 of the population proportion, given that forty-two percent of primary care doctors think that their patients receive unnecessary medical care and a random sample of 300 primary care doctors were taken for this study?
0.7062
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A firm has a labor force of 100,000 and the elasticity of labor demand is 0.5. If it were to reduce its labor costs by $20,000, the firm should: a) hire more workers so as to reduce total wage costs b) hire fewer workers so as to reduce total wage costs c) not hire any more workers d) pay higher wages to existing e...
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Sweet Acacia Farms has the following sales for the last three months of the year: April $60,000 May $70,000 June $80,000 If Sweet Acacia's sales are 35% cash and 65% credit with 5% of the credit sales being written off as uncollectible, what is their expected ...
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A particle of mass {eq}m {/eq} is in the ground state of a one-dimensional harmonic oscillator potential: {eq}V(x) = \frac{1}{2} kx^2 {/eq}. The ground state is {eq}\psi _{0} (x) = \left ( \frac{m \omega }{\pi \hbar } \right ) ^{\frac{1}{4}} \exp(-\frac{1}{2} \frac{m \omega x^2}{\hbar }) {/eq}. If the potential is...
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Assume that we have a linear programming problem with the initial basic feasible solution given. For each of the following possibilities, find the vector xj that enters the basis, or explain why no such vector exists. (a) cT = (1,2,0) , B-1 = (-2 -1 1) (b) cT = (1,2,0) , B-1 = (1 2 -1) (c) cT = (1,2,0) , B-1 = (-2 -...
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I need to compute $f^{*}(dx)$ for the function $f(x) = x^{2}$, where $f^{*}(dx)$ means the pullback of $dx$ to the graph $\Gamma(f) \subseteq \Bbb R^{2}$. How can I approach this problem?
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A sample of gas expands from an initial pressure and volume of 10 Pa and 1.0 m{eq}^3 {/eq} to a final volume of 2.0 m{eq}^3 {/eq}. During the expansion, the pressure and volume are related by the equation {eq}p = a V^2 {/eq}, where {eq}a = 10\ N/m^8 {/eq}. Determine the work done by the gas during this expansion.
23.33 J
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Calculate the integral {eq}\int_{C} F\cdot dr{/eq} if the field {eq}F(x,y,z)=\left \langle x^{2}, z^{2}+2xy, 2 \right \rangle{/eq}, and the curve {eq}r(t)=\left \langle t, t^{2}, t^{3} \right \rangle{/eq}, for {eq}t\in [0,1]{/eq}.
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A monopolist faces the following demand curve: P = 32 - 0.4Q. If this firm's demand schedule is linear, its inverse demand curve can be written as a. P = 0.4Q b. P = 4Q c. P = 80 - 0.8Q d. P = 32 + 0.4Q
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Equipment that cost $150,000 and has accumulated depreciation of $100,000 is exchanged for equipment with a fair value of $75,000 and the old equipment is considered to have no salvage value. In addition, the new equipment is acquired for $5,000 cash. The new equipment should be recorded at a. $75,000. b. $65,000. c...
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A negative production externality exists when a. the social cost of production exceeds the private cost of production b. a firm does not bear the full cost of its actions c. a production process yields a negative impact on the well-being of a third party d. the optimal level of output is less than the equilibrium l...
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Compute the Euler totient function $\phi(3403)$.
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Many businesses treat their costs as if they are constant, even though their costs are not actually constant. As a result of this simplifying assumption, a. managers can safely ignore the law of diminishing marginal product. b. managers will treat long-run marginal and average costs as constant and equal, which simpl...
b
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Show that the director of the R&D department has excess authority if the director of marketing has the authority to reject a product and thereby prevent it from entering production, and the manager of production can reject a product for poor quality, reducing the overall profit. The function to be maximized is as follo...
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Which of the following statements best describes a risk-loving individual? a. She would prefer a guaranteed income of $1,000 over having a 50% chance of winning $2,000 in a lottery. b. Her certainty equivalent for a bet is less than the expected value of the bet. c. She would prefer to have a 50% chance of winning $...
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What is the probability that the mean amount of work per week for three randomly selected professors is less than 50 hours?
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Which of the following is a question to consider when planning for "reality shock" during organizational change? A. Do we have good relations with the media? B. Are the organization's leaders sensitive to concerns? C. How can we best explain the change? D. Are workers really surprised?
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Billups Company uses a job order cost system with a single plantwide predetermined overhead rate based on direct labor hours. The company based its predetermined overhead rate for the current year on 15,000 direct labor hours, a total fixed manufacturing overhead cost of $162,000, and a variable manufacturing overhead ...
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It has been argued that because the monopolistic competitive firm faces a downward sloping demand curve, in long run equilibrium it: a. Under-utilizes its plant size b. Has excess capacity c. Produces an output smaller than the one that would minimize its costs of production d. (a) and (b) e. All of the above
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For the demand function {eq}q(p) = 1500e^{-0.05p}, find {eq}E(p). E(p) =
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Which of the following is true of the free rider problem? A) It arises because people can benefit from a public good without paying their fair share. B) It arises because people can avoid paying taxes. C) It does not affect public goods. D) It is the problem of over consumption of public goods.
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The last dividend paid by Wilden Corporation was $3.75. The dividend growth rate is expected to be constant at 1.5% per year, and the stock currently sells for $62.50 per share. What is the required rate of return?
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Find the mass of the lamina described by the inequalities {eq}0 \leq x \leq 6,\ 0 \leq y \leq 6{/eq}, given that the density function is {eq}\rho(x, y) = x + y{/eq}.
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Suppose the population of weights of airline passengers has a standard deviation of 20 lb. If a sample of 49 passengers is selected, find the probability that the mean weight of the sample is less than 64 lb, given that the mean of the population of weights is 60 lb.
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Helper T-cells are required for all except: a. Antibody-mediated immunity. b. Inflammation. c. Cell-mediated immunity. d. Activation of specific lymphocytes to produce a clone of effector cells.
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A company has a cost function given by c(y) = 40y + 100. At what output is average cost minimized?
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The bar on a vertical wall measures 3.0 m high and 2.0 m wide and has a weight of 2.4 kN. Its center of weight is 1.0 m from the top of the wall. Find the smallest force F applied at the midpoint of the bar (measured vertically) that will cause the bar to tip over.
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Dilant, Inc. had the following inventory information. 5/01: beginning inventory, 20 units at $65 5/05: purchases, 100 units at $70 5/19: purchases, 10 units at $75 5/29: purchases, 50 units at $80 A physical count of inventory on 5/31 reveals that there are 45 units on hand. What is the cost of the 45 units that ...
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Managers at the Trumpington Manufacturing Company have provided the following information. Year 1 Year 2 Sales $240,000 $280,000 Fixed cost 100,000 100,000 Variable cost 80,000 100,000 Required: Determine the company's operating profit for Year 2.
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Which of the following would NOT appear on the Income Statement? a. interest paid b. revenues c. depreciation expense d. All of the above would appear on the Income Statement.
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Compute curl(f grad f) for a differentiable function f(x, y, z).
0
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Value added in a firm or organization is most closely associated with: a. innovation b. empowerment c. strategy d. outsourcing
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All of the following are potential problems of using export controls EXCEPT which one? A) There is an incentive for other countries to develop production of their own. B) Domestic producers may have less incentive to increase output. C) Prices go up in the country imposing the controls. D) There is more incentive f...
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From the following types of risks: A. Damage to reputation B. Information technology (IT) C. Credit D. Competition E. Capital investment and/or shareholder requirements. Of the above risks, the following are Strategic Risks: a. B, D, and E b. A, D, and E c. B, C, and D d. A, B, C, D, and E
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ABC firm's cost of equity is 12%, and its tax rate is 35%. ABC currently has $100 of debt at a market value of $400. Assuming it increases its debt-equity ratio to 0.5, what will its cost of equity be if the change in capital structure leads to a change in its beta? a. 12% b. 14% c. 10% d. none of the above
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Use Stokes' Theorem to evaluate {eq}\displaystyle \int_{C} \dfrac{y^3}{3} + x^2y\text{ d}x + xy^2 + z\text{ d}y + (x^2 + y^2)\text{ d}z{/eq} where C is the circle with radius 3 and center (0,0,5) in the plane z = 5.
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Cardinal Company is considering a project that would require a $2,810,000 investment in equipment with a useful life of five years. At the end of five years, the project would terminate and the equipment would be sold for its salvage value of $500,000. The company's discount rate is 16%. The project would provide net o...
2.98 years
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The average score of all golfers for a particular course has a mean of 68 and a standard deviation of 4. Suppose 36 golfers played the course today. Find the probability that the average score of the 36 golfers is below 67.
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When the Federal Reserve reduces its policy interest rate, how, if at all, is the IS curve affected? A. The IS curve shifts to the left. B. The IS curve shifts to the right. C. Changes in interest rates represent a movement along the IS curve, and so the IS curve does not shift. D. The change in the IS curve is unc...
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During fiscal year 2012, Jimenez Inc. recorded $16,000 of depreciation on a piece of factory equipment used to manufacture shopping carts. Which of the following items would be increased by this depreciation entry? a. Accumulated Depreciation b. Net Property, Plant, and Equipment c. Work-in-Process Inventory d. Cur...
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A report showing the budgeted income statement on the basis of the number of units that should have been produced and sold is called the: A. operating budget. B. cash budget. C. flexible budget. D. static budget. E. financial budget.
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Members should use the AICPA Conceptual Framework for Independence to: A. Come to different conclusions than the interpretations of the Code of Professional Conduct. B. Evaluate independence matters not addressed in the Code of Professional Conduct. C. Understand the rules on confidential client information and ac...
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I know the limit $$\lim_{n \to \infty}\frac{(x-2)n^n}{(n+1)^n(n+1)} = 0$$ but I can't seem to properly get to that answer.
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A foreign subsidiary (US GAAP) has the following relationships with the parent: - The parent owns 100% of the ordinary share capital of the foreign subsidiary. - The foreign subsidiary provides the majority of the resources required to operate the business. - The foreign subsidiary has no significant liabilities. U...
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If the Fed increased the required reserves, this would: A) increase the amount of checkable deposits in the banking system. B) decrease the amount of checkable deposits in the banking system. C) increase the money multiplier. D) decrease the money multiplier. E) increase the amount of excess reserves in the bankin...
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Compute the arc length and the arc-length parameter of the curve {eq}r(t) = \sin 3 t i + \cos 3 t j + t k{/eq} from point A(0, 1, 0) to point B(1, 0, {eq}\frac{\pi}{3}{/eq}).
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If you've missed out on all of the capital gains you were entitled to during the year, you will have to file a: a. tax return. b. no-action request. c. form 1099-B. d. series of tax deferrals.
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Beta: A stock has an expected return of 13.6%, a beta of 1.24, and the expected return on the market is 11.3%. What must the risk-free rate be?
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What is the probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2.45 penalties per game or more, given that the number of holding penalties assessed has a mean of 2.2 penalties per game and a standard deviation of 1.1 penalties per game?
0.0749
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The nominal interest rate minus the inflation rate is called the: A) ex post real interest rate. B) ex ante real interest rate. C) expected nominal interest rate. D) Fisher equation.
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The market is currently in long-run equilibrium. Suppose there is an increase in demand due to an increase in consumer income. What would you expect? a) The market will experience only a short-run equilibrium since it will not reach long-run equilibrium. b) Firms will produce more in the long run, but the price will ...
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Consider a one-period binomial model in which the current stock price is \$100, the call option has a strike price of \$100, the risk-free rate is 5% and the up factor is 1.25. Assume the option is European. What is the call option price when the down factor is 0.8?
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During a steady-flow process, the pressure of a fluid decreases from 150 kPa to 100 kPa as its specific volume increases from 0.3 to 0.6 m^3/kg. Determine the work done during this process, in kJ/kg.
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A company has total equity of $520,000. The debt-equity ratio is .4 and the debt-to-asset ratio is .40. What is the amount of debt?
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Lincoln Company recorded {eq}\$40,000 {/eq} of depreciation as of December 31,2013 on assets acquired that were purchase on January 1, 2013. The assets cost {eq}\$200,000 {/eq} and had an estimated useful life of {eq}10 {/eq} years. The method Lincoln used for depreciating the assets was: A. the straight-line metho...
D
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Which of the following is true of an unsecured loan? A) It is backed by specific assets. B) It is also known as a mortgage. C) It is also known as a collateralized loan. D) It is not backed by any specific assets.
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_____ are an example of variable levies. A) Export tariffs B) Quotas C) Targeted leveling D) Import tariffs
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Which of the following describes the statement of cash flows? a) describes the changes in assets and liabilities over a period of time b) describes the cash flows into and out of the business over a period of time c) describes the financial condition of the company at a point in time d) describes the result of oper...
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How can I solve the Riemann-Stieltjes integral of $f(x) = 1$, where $\alpha(x)$ is defined as follows: $\alpha(x) = x$ if $0 \le x \le 1$, $\alpha(1) = 2$, $\alpha(x) = 3x$ if $1 \le x \le 2$?
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The British base interest rate is 1%, while the German base interest rate is 3%. The current spot rate for the Euro is $1.53, while the 1 year forward rate is $1.52. Which of the following choices is most correct? a. The pound is expected to depreciate against the Euro in the future. b. There is a small expected appr...
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What is the probability that the mean salary of a random sample of 34 environment compliance specialists is less than $61,000, given a population mean annual salary of $63,500 and a standard deviation of $5,800?
0.0060
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Consider a potential investor who can gain 1,000,000 or lose nothing with a probability of 0.10, or gain 1,000,000 with probability of 0.90. Consider a utility function which is linear in wealth, U(W)=W. Now, suppose that his wealth is 10,000,000. His expected utility for the investment is: a. U(9,000,000)=9,000,000. ...
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Project A has a higher IRR than Project B. Which of the following statements is correct? (Assume the projects' WACCs are the same.) a. The present value of the cash inflows for Project A is greater than that for Project B. b. The total amount of cash flows for Project A is greater than that for Project B. c. The pro...
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Consider the following scenario analysis: Rate of Return Scenario ProbabilityStock XStock Y Recession 0.45 -5.00% 20.00% Normal economy 0.55 15.00% 10.00% The rates of return for each stock under each scenario are shown above. Assume these scenarios are equally likely. Based on this information, what is the expected...
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Janson's Jauntily Designed Jumpsuits has the following balances on December 31, 2010 book before adjustment: Accounts receivable $100,000 Net credit sales for 2010 $2,000,000 An allowance for doubtful accounts exists with a debit balance of $2,000 prior to the adjustment. If unadjusted, a provision for doubtful acco...
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Which of the following statements is true of a standard normal distribution? a. It has a mean of 1 and a variance of 0. b. It has a mean of 1 and a standard deviation of 0. c. It has a mean of 0 and a standard deviation of 1. d. It has a mean of 0 and a variance of 1. e. It has a mean of 0 and a median of 1.
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