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What is wrong with using the substitution $\sin(x) = t$ to evaluate the integral $\int_0^{\pi} \frac{\sin(x)}{1+\sin(x)} \,\mathrm{d}x$, given that it results in limits of integration from 0 to 0, which would give an integral value of 0, while another method gives $\pi - 2$? Why is this substitution incorrect, and how?
\pi-2
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Consider a stock portfolio similar to your own portfolio (in terms of the value of the holdings) for which the bet is 1.10 and the standard deviation of the returns is 30%. The portfolio has a current value of $50,000. You have decided to hedge the portfolio using 3-month S&P 100 futures contracts. The futures price is...
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Find the direction of the fastest decrease for {eq}f (x, y) = 3 \ln (x + 2y){/eq} at {eq}P_0 (4, 5){/eq}.
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Net income minus income taxes plus non-cash expenses minus gains plus losses equals: a. cash flows from financing activities. b. cash flows from operating activities. c. cash flows from investing activities. d. current cash flows.
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The Capital Stock of a company is worth its: A) Intrinsic value B) Book value C) Fair value D) Liquidation value
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Bill and Jane plan to buy a boat and they have set aside a fund to save money for this purpose. They have $5000 to invest today and they will be investing an additional $2500 per year for the next 5 years. What will be the future value of their investment at the end of year 5 if the fund earns 10% interest? A) $15,500...
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Find the equation of the line tangent to the curve xy + 1 + e = e^{-xy} at the point (1, -1).
x-2
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At what nominal interest rate will $20,000 grow to $27,297.22 in five years? a. 8% b. 10% c. 12% d. None of the answer choices are correct.
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Under monopoly, the marginal revenue and demand curves are related in which of the following ways? a. the monopolist's marginal revenue curve is identical to the monopolist's demand curve. b. the monopolist's marginal revenue curve is more elastic than its demand curve. c. the monopolist's demand curve is always abo...
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A company has net income of $239,000. Its EBIT is $588,000, and its tax rate is 35%. What is its interest expense?
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Given $x = u^2 - v^2, y = u^2 + v^2,$ find the derivative of $x$ with respect to $y$.
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Woolcrest Inc. produces wool sweaters. It estimates the following revenues and costs for next year: Selling price $100 per sweater Variable cost $75 per sweater Fixed costs $15,000 The breakeven point in sales dollars is: a. $30,000. b. $60,000. c. $80,000. d. $100,000.
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Find the interval of convergence of the power series {eq}\sum_{n=0}^\infty (2n)! (\frac{x}{2})^n {/eq}
{x=0}
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Sabas Company uses a standard cost system in which manufacturing overhead costs are applied to production on the basis of standard machine hours. During the month, actual total variable manufacturing overhead was $88,400 at 22,000 machine-hours, actual total fixed manufacturing overhead was $27,700, and the budgeted va...
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Competitive markets are efficient because a. competition forces prices down. b. the market will produce the largest quantity of goods and services. c. marginal value exceeds marginal cost in all cases. d. marginal cost exceeds marginal value in all cases. e. marginal value equals marginal cost at the equilibrium p...
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Muncie Manufacturing Company manufactures two types of office chairs, the Class A and the Class B. It estimates the following results for next year. Class A Class B Sales $400,000 $640,000 Direct Materials 100,000 160,000 Direct Labor ...
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A diffraction grating has {eq}1800 \, \mathrm{rulings/cm} {/eq}. On a screen {eq}3.00 \, \mathrm{m} {/eq} from the grating, it is found that for a particular order {eq}m {/eq}, the maxim corresponding to two closely-spaced wavelengths of sodium ({eq}589.0 \, \mathrm{nm} {/eq} and {eq}589.6 \, \mathrm{nm} {/eq}) ar...
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The following account information was drawn from the financial statements of LBJ Company: Cash $10,000 Net Fixed Assets $90,000 Current Liabilities $20,000 Long-term Liabilities $40,000 Shareholders' Equity $60,000 Total Assets $100,000 Total Liabilities $60,000 The company's current ratio is: a. 2 b. 3 c. 4 ...
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Let $X \subset \Bbb R$ be an infinite countable bounded subset of $\mathbb{R}$. Which of following is true. (A). $X$ cannot be compact (B). $X$ contains an interior point (C). X may be closed. (D). closure of $X$ is countable
C
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A firm is considering a project that will generate sales of $14,900 per year for three years. What is the internal rate of return for this project if the initial cost of the project is $20,100? Depreciation is straight-line to zero over the three-year project life, and the relevant tax rate is 35 percent. (Do not round...
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Alpha University is considering an investment in one of two mutually exclusive projects. Project one involves an investment of $1,495. After-tax cash flows for Project 1 are expected to be $500 per year for years 1-5. Project two involves an investment of $6,704. After-tax cash flows for Project 2 are expected to be $2...
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Which of the following transactions would require journalizing and posting two compound journal entries? a. Purchasing investments on account. b. Purchasing land and a building in exchange for a long-term note payable. c. Issuing shares of stock for cash. d. Selling land for cash.
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The information below relates to a company's use of a mineral mine. All amounts are in thousands of dollars. Book value of mine $140 Estimated future net cash flows from mine $100 Discount rate 8% Discounted future net cash flows from mine $72 Expected proceeds from salvage of mine $4 What amount of impairment l...
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Consider the partial differential equation: $\frac{\partial ^2 \varphi }{\partial t^2 }-\frac{\partial ^2 \varphi }{\partial x^2 }=2\frac{\partial \varphi }{\partial x}$ with boundary conditions $\varphi(x,0)=\varphi_t(x,0)=0$ for $-\infty<x<\infty$ and initial condition $\varphi(x,t)=xe^{-x}$ for $t>0$ and $x=0$. How ...
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Using the accrual basis, revenue on the income statement was $124,320. Accounts receivable were $3,320 on January 1 and $3,600 on December 31. Unearned revenue was $1,040 on January 1 and $1,690 on December 31. Calculate the revenue for the year on a cash basis.
$124,690
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After evaluating a proposed project, the accountant advises that the project has a net present value of {eq}-\$5,000 {/eq}. This indicates that: a. the project's return on assets is less than 10%, b. the amount of the initial investment exceeds the project's present value, c. the required rate of return is higher t...
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Find the minimum sample size n that provides the required confidence interval for p, given a desired margin of error E = 0.08, a confidence level of 95%, and no preliminary estimate for p.
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Loring Company had the following data for the month: Per Unit Variable costs: Direct materials $4.00 Direct labor 3.20 Variable overhead 1.00 Variable selling expenses 0.40 Fixed overhead $4,000 ...
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Find the volume of the solid obtained by rotating the region bound by the curves y=1/x^3, x=2, and y=0 about the y-axis.
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Rawlings Company sells specialty hats for $180 each and uses the perpetual inventory system. The following was taken from the inventory records during January. Rawlings Company had no beginning inventory on January 1st. Date Product activity Units Cost Jan 2 Purchase 30 $60 Jan 9 Sale 18 Jan 15 Purchas...
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Come up with the specific values of the coordinates {x, y} of the highest point on the curve parameterized by {x(t), y(t)} = {te^t, 1-t^2} with -\infty < t < \infty.
(0, 1)
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Kathy and Joanne are U.S. citizens who own land in Portugal. Last year they spent 41 days in the United States and 276 days in Portugal. What is the maximum amount (in euros) that they may bring into the United States duty-free? a. $7,500 b. $5,000 c. $2,500 d. $1,000 Refer to the information above. If the value ...
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{eq}\lim_{x\rightarrow 2}\frac{\tan(3x-6)-\tan(2x^2-x-2)}{x-2}
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The Taylor series of f(x) = (1 + x)^(3/2) is of the form \(\sum_{n=1}^\infty b_n x^n\). What is the value of \(b_6\)?
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Given the compound proposition (p ^ q) V (p ^ -q) V (-p ^ q) V (-p ^ -q). Express this compound proposition as a single logical connective (i.e., using only V or only ^). Express your answer using only V (disjunction). Do not use the symbol -q in your answer.
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The ratio of the marginal product of labor to the marginal product of capital equals the ratio of: a) capital to labor. b) total revenue to total cost. c) the wage rate to the rental rate of capital. d) None of the above
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Information about a project Darcy Company is considering is as follows: Investment $1,000,000 Revenues $700,000 Variable costs $140,000 Fixed out-of-pocket costs $80,000 Cost of capital 12% Tax rate 40% The property is considered 5-year property for tax purposes. The company plans to use MACRS and dispose of the prop...
$128,000
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Which of the following statements is not true? a. New classical economists believe that structural changes in the labor market will take place only when the price level changes. b. New classical economists believe that both unemployment and inflation are the result of wages and prices that are rigid and do not quickl...
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The most recent balance sheet and income statement of Penaloza Corporation appear below: Comparative Balance Sheet Ending Balance Beginning Balance Assets: Cash and cash equivalents $47 $39 Accounts receivable 49 55 I...
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An electrical transformer (called the old machine) was purchased 7 years ago at a cost of $75,000. The old machine is being depreciated using the 7-year MACRS schedule, and at the end of 7 years, the old machine was sold for $6,500. An engineer recently came up with an idea for new machine (called the new machine) that...
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A transaction consists of a debit to Depreciation Expense for $11,000 and a credit to Accumulated Depreciation for $11,000. What type of activity does this record? a. operating activity b. investing activity c. financing activity d. non-cash investing and financing activity
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Depreciation on the equipment of a manufacturing plant is an example of: a. a product cost. b. a direct material cost. c. an administrative cost. d. a period cost. e. a selling cost.
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The cost of preferred stock: a. increases as the beta of the firm increases. b. is equal to the annual dividend divided by the par value of the stock. c. is equal to the annual dividend divided by the present value of all the stock's dividend payments. varies as tax rates vary. d. is generally computed using the CA...
c
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A company repays a loan early. How does this affect debt/equity ratio and times interest earned ratio? a) increases debt/equity ratio; no effect on times interest earned ratio b) decreases debt/equity ratio; no effect on times interest earned ratio c) no effect on debt/equity ratio; increases times interest earned r...
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New Balance stores receive 500 pairs of shoes per month from New Balance Sportswear. The sales of New Balance Sportswear have been 2000 pairs of shoes per month. These sales are normally distributed with a standard deviation of 1000 pairs per month. If a New Balance store wants to maintain 10% of the products on the s...
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In a normal distribution, if the mean is 20 and 35% of the distribution is between 15 and 20, what is the standard deviation of the distribution?
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Edward currently gets $100,000/year in rental income, before he retired, from a small apartment building. Now he plans to retire and get a $200,000 lifetime annuity at an annual rate that will be adjusted for inflation. The annuity will be deferred for 15 years (during which time, he'll collect the $100,000 from the re...
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The Bouchard Company has a P/E ratio of 16.7, earnings per share of $1.44, and a dividend growth rate of 7.50%. The stock is currently selling for $22.09 per share. What is the expected return on the stock?
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Future Value of Multiple Annuities Assume that you contribute $180 per month to a retirement plan for 20 years. Then you are able to increase the contribution to $280 per month for another 20 years. Given a 10.0 percent interest rate, what is the value of your retirement plan after 40 years? A. $ 1,138,334 B. $ 1,214...
B
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Which of the following statements about the p-value approach are true? (Check all that apply. If none applies, do not check any.) A. It yields different results than the rejection region method. B. It yields the same conclusions as the rejection region method. C. It takes full advantage of the information available ...
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Elder Corporation uses a standard cost system in which it applies manufacturing overhead to products on the basis of machine hours (MH). The company's standard variable manufacturing overhead rate is $6.00 per MH. During the last month, the actual variable manufacturing overhead was $134,000 for 2,000 MH at an actual c...
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What is the solution of the differential equation: $\displaystyle \frac{dS}{dx}=\frac{aS-b}{rS-c}$ where $a,b,c,r$ are constants?
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A perfectly competitive firm sells 10,000 units of a good at $50. The total cost of production is $300,000. The firm's average variable cost is $18. In this case, we know the firm's: A. total fixed cost is $120,000 and average fixed cost is $12 B. total fixed cost is $200,000 and average fixed cost is $20 C. total f...
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Which of the following would not be considered a typical BOP transaction? A) A U.S. tourist purchases gifts at a museum in London. B) The U.S. subsidiary of European financial giant, Credit Suisse, pays dividends to its parent in Zurich. C) Toyota U.S.A. is a U.S. distributor of automobiles manufactured in Japan by ...
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Evan Company reports a net income of $205,000 each year and declares an annual cash dividend of $100,000. The company holds net assets of $1,320,000 on January 1, 2017. On that date, Shalina purchases 40% of Evan's outstanding common stock for $718,000, which gives it the ability to significantly influence Evan. At the...
c
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Which of the following pricing strategies is most likely to lead to long-term financial sustainability? A) Full cost B) Marginal cost C) Direct cost D) Indirect cost E) Variable cost
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Which of the following accurately describe the difference(s) between oxidative phosphorylation and substrate-level phosphorylation during aerobic respiration in eukaryotes? a. Oxidative phosphorylation relies on energy initially derived from redox reactions to power {eq}\rm ATP {/eq} synthase, and substrate-level ph...
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The ice-cream cone is an example of an economic good. As such, it A) has a price. B) satisfies a human want or need. C) is scarce. D) All of these.
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Find the value of c such that P(Z > c) = 0.0681, where Z is a standard normal random variable. Round the answer to two decimal places.
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If the ending inventory is $100,000 and the cost of goods sold is $350,000, the inventory turnover for the year is: a. 100 times. b. 3.5 times. c. 2.5 times. d. 4.17 times.
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Compute the limit $$ \lim\limits_{N \to +\infty} \sqrt{N+1} \log \left(1+\frac{x}{N+1}\right) $$ where $x \ge 0$ is fixed.
0
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Your friend needs thousands of dollars to launch his new business. You have agreed to lend him the money today at an interest rate of 5% compounded annually. You require that the loan be repaid in eight annual payments, starting at year 3 with a $10,000 payment. Subsequent payments will decrease by $1,000 each year the...
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It is known that the sum of the series $\sum_{n=2}^{\infty}\frac{1}{n\ln^2{n}}$ is equal to $2(\gamma+\ln 2)$, where $\gamma$ is the Euler-Mascheroni constant. Calculate the sum of the series $$\sum_{n=2}^{\infty}\frac{n^2-1}{n\ln^2{n}}.$$
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Which of the following items is not included in the calculation of cash flow from operating activities using the indirect method? A. Beginning balance of Accounts Receivable. B. Ending balance of Accounts Receivable. C. Loss on the sale of equipment. D. Depreciation expense.
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In international markets, some customers may be less price sensitive than others. This situation is likely to result in a. A downward-sloping demand curve for each country in which the firm operates. b. A kinked demand curve for each country in which the firm operates. c. A perfectly elastic demand curve for each co...
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When a stock issue is for cash and the stock has a stated value in excess of par: A. the difference is credited to additional paid-in capital. B. the difference is credited to common stock. C. the difference is credited to a paid-in capital in excess of cost account. D. the difference is credited to a gain on issua...
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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.
$55
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You have just been hired as the financial manager for a new firm and your boss tells you he is considering buying a new company car that will cost $28,000. The dealer offers you 4.9% APR financing for 60 months (with payments made at the end of the month). Assuming you finance the entire $28,000 and finance it through ...
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The book value of an asset equals the: a. asset's acquisition cost less the accumulated depreciation. b. asset's market value at the end of current accounting year. c. asset's original purchase cost. d. asset's acquisition cost less its market value.
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Which of the following statements is most accurate? a. Corporate governance is concerned with the actions of corporate executives. b. Shareholders and the board of directors can have divergent interests. c. Boards of directors should be dominated by independent non-executive members. d. All of the above.
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Suppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.20 .12 Repete Co. 1.60 .15 Assuming these securities are correctly priced, according to CAPM, what is the expected return on the market?
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Which of the following situations best characterizes the agency costs associated with diverse ownership? a. Managers have incentives to substitute low-risk projects for high-risk project. b. Managers have incentives to reduce the dividend payout ratio in order to accelerate debt repayment. c. Managers that own share...
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Frost Company produces cupcakes in large batches. Three departments are involved in the production process -- Mixing, Baking, and Packaging. Frost uses a process costing system. Assume products with a cost of $9,000 are sold to customers. Which of the following journal entries is needed to record this transaction? a. ...
d
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Laskey Inc. has two divisions: Division X and Division Y. During the year just ended, Division X had a segment margin of $28,000 and variable expenses equal to 80% of sales. Traceable fixed expenses for Division Y were $20,000. Common fixed expenses totaled $10,000 and were allocated to Divisions X and Y on the basis ...
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Under IFRS, the rights approach generally gives higher priority to: A) creditors over equity holders. B) common equity holders over preferred equity holders. C) preferred equity holders over common equity holders. D) equity holders over creditors.
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What is the minimum sample size required to estimate the mean with 99% confidence and an error of at most 15, given a sample standard deviation of 320?
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Getzels and Jackson (1962) used _____ to assess creativity by asking subjects to write as many meanings of the words: duck, sack, pitch, and fair. a. vocabulary ability b. language ability c. semantic ability d. associative ability
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You purchased a stock at a price of $48.32 a share one year ago. Today, you sold your shares for $41.24 a share. Your purchase of the shares was financed with cash (no leverage) and your broker charged you a $7.50 commission per transaction. Based on this information, you realized a: A. 20.65% overall yield. B. 19.57...
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Karsted Air Services is now in the final year of a project. The equipment originally cost $30 million, of which 75% has been depreciated. Karsted can sell the used equipment today for $7.5 million and its tax rate is 30%. What is the equipment's after-tax salvage value? Round your answer to the nearest dollar. Write y...
$7,500,000
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If the ratio of nominal M1 to nominal GDP rises by 5 percent, it follows that a. the velocity of M1 has risen by 5 percent. b. the velocity of M1 has fallen by 5 percent. c. the velocity of M1 has risen by 10 percent. d. the velocity of M1 is constant.
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For a very large class with mean of 64 and standard deviation of 8, what test score is required to put a student in the 99th percentile? a. z score of 2.33 b. z score of 3.09 c. z score of 4.29 d. can't be determined
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In a sample of n=25 selected from a population with {eq}\mu =100{/eq} and {eq}\sigma =16{/eq}, what is the probability of selecting a sample with a mean less than 90?
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Mango's Market reported the following information for 2013: Interest paid $12,000 Retained earnings 1/1/13 40,000 Income taxes paid 30,000 Depreciation expense 60,000 Equipment purchased 50,000 Dividends paid 20,000 Net income 75,000 Accounts payable 25,000 Accounts receivable 15,000 Cash 5,000 Land held for...
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The net income reported on the income statement for the current year was $600,000. Depreciation recorded on store equipment for the year amounted to $24,000. Balances of the current asset and current liability accounts at the beginning and end of the year are as follows: End of YearBeginning of Year Cash$57,600$54,...
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Two factors that cause the investor's required rate of return to differ from the company's cost of capital are: a) taxes and risk. b) taxes and transaction costs. c) transaction costs and risk. d) risk and opportunity cost differences.
a
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Due to global recession, foreign demand for U.S. goods has dropped. U.S. aggregate demand has fallen primarily because of a(n): a) decline in household wealth. b) increase in interest rates in the United States. c) decline in the value of the U.S. dollar. d) reduction in the price level. e) increase in the value o...
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How to find the value of $$\lim_{x \rightarrow 0} \frac{x - \sin x}{x \sin x}$$ using a series expansion?
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Calculate the expected return for the individual stock, given the expected return on the market portfolio is 12%, the standard deviation of the return for the market portfolio is 12%, and the beta of the stock is 1.5.
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You are evaluating an income stream which has the following cash flows associated with it. Year 1 = +$25,000 Year 2 = +$27,000 Year 3 = +$30,000 Year 4 = +$35,000 Year 5 = +$40,000 Assuming a discount rate of 11%, what would be the present value of this income stream? Present Value: $133,951.58 Since the future...
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If a stock's price declines by 25%, then the holding period return on the stock is _____ if it subsequently rises by 35%. A. 15% B. 7.5% C. 7.25% D. 40%
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Total fixed cost is frequently referred to as: a. overhead b. depreciation c. opportunity cost d. marginal cost
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A stock is selling for $52 per share. The market requires an 18 percent return on this stock. If dividends are expected to grow at a constant rate of 5 percent indefinitely, what is the expected dividend?
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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 United States, with a 99% confidence that the sample mean is within 2 feet of the population mean? The population standard deviation is known to be 7 feet.
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Evaluate {eq}\int_C F \cdot dr{/eq} along the curve {eq}C: y= x^{3/2}{/eq} from (0, 0) to (1, 1)
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A sample of 40 students is taken from a university's freshman class. The average age of the students in the sample is 16.6. In this situation, the average of 16.6 is: a. a statistic b. a population c. a parameter d. a sample
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I am trying to find the total of the surface of a hemisphere of radius a with a paraboloid of revolution $z=x^2+y^2$, below it, also of radius a. I have tried to calculate the surface of the hemisphere and subtract the paraboloid, but I can't get the right answer. The book says the result is $2\pi a^2$.
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Based on this information we conclude that: a. we can be 100% sure that the average age of horses admitted with laminitis is between 6.3 and 7.4 years. b. 99% of all horses admitted for laminitis are between 6.3 and 7.4 years old. c. All of the above d. we are 99% confident that the true mean age of horses with lam...
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Golf balls manufactured by Wilson Sporting Goods Company have a mean diameter of 1.68 inches with a standard deviation of 0.06 inches. What is the z-score of a golf ball with a diameter of 1.72 inches?
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Which of the following are advantages of the payback method of project analysis? I. liquidity bias II. works well for research and development projects III. ease of use IV. arbitrary cutoff point A. I and II only B. I and III only C. II and III only D. II and IV only E. I, III, and IV
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Annual Premium Insurance Face Value Interest Rate Term a) $500 $100,000 4% 30 years b) 2000 500,000 6.5 25 c) 1000 100,000 5 20 d) 500 100,000 6 20 e) 2000 500,000 7 30
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