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Why does $2 \cos x$ disappear in the integral $\int 2\cos x \ e^{2 \sin x} dx$ when it is transformed to $\int e^t dt$ with $t = 2\sin x$ and $dt = 2\cos x \ dx$?
$e^{2\sin x}+C$
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Assume a firm wishes to raise $4 million in new debt and equity. New debt will be $2 million and new equity will be $2 million. Debt: Face Value = $1,000; Coupon Rate = 7.875 percent; Maturity = 5 years; Current Price = 105.5 percent of par value; Current Yield = 7.460 percent; Yield to Maturity = 7.028 percent; Modif...
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The Copy Department for the Oler Company provides photocopying service for two departments, A and B. The following budget has been prepared for the year: The budgeted usage for the year for Department A is 64,000 pages. Actual usage for the year was 60,000 pages. If a dual rate is used to assign costs of the copy serv...
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The recording of the sale of finished goods on account would include a debit to: A) Cash B) Finished Goods C) Cost of Goods Sold D) Accounts Receivable
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Axel telecommunications has a target capital structure that consists of 70 percent debt and 30 percent equity. The company anticipates that its capital budget for the upcoming year will be $3,000,000. If Axel reports net income of $2,000,000 and it follows a residual dividend payout policy, what will be its dividend pa...
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The Gage Company purchased a machine that will be depreciated by the straight-line method over its estimated 6-year life. The machine will have no salvage value. It will generate cash inflows of $7,000 each year over the next 6 years. Gage Company's required rate of return is 14%. If the net present value of this inves...
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Maximum rank of a 4*6 matrix A is 4. Rank(A) = Rank(A transpose). In that case, how can maximum Rank(A transpose) be 6? How can Max Rank(A) be 4 & 6 for the same matrix? What rule or assumption am I missing?
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Jusha Inc., a company that uses straight-line depreciation for all equipment, is considering disposing of a currently idle piece of machinery. The machine was acquired three years ago at a cost of $80,000 and was estimated to have a five-year useful life with no salvage value. The current disposal price is $20,000. The...
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The statement that reports the impact, during a period, of changes in operating assets and liabilities, investing activities, financing activities, and noncash investing and financing activities on cash and cash equivalents is the: a. income statement. b. statement of cash flows. c. balance sheet. d. statement of chang...
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Susan Morton is evaluating an income property. She has developed the following estimates: Year Net Income Net Income 1 $15,000 $15,000 2 $15,000 $15,000 3 $15,000 $25,000 4 $15,000 $35,000 5 $15,000 ...
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A retailing company finds that the current return on assets is 20% and the current return on sales is 2%. What is the return on equity? a. 10% b. 14% c. 18% d. 22%
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Big Bubba Company is one of the country's largest producers of party balloons. Recently, the company successfully expanded into three new markets. The company's CFO needs to perform a post-audit to examine the feasibility of expanding into more new markets. Which of the following would be part of the post-audit? a. Wh...
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Let x and y be independent, uniformly distributed random variables over [0,1]. a and R are positive real numbers where R>a. How can I find the probability of $$\mathbb{P}\left[x>\frac{(y)(a)}{R-a}\right]?$$
$$1 - \frac{a}{2(R-a)}$$
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Which one of the following statements about the graph y = 7x + 14 is true? A. The graph is a straight line with an x-intercept of -2 B. The graph is a straight line with a y-intercept of 2 C. The graph is a parabola with a minimum at (-2,0) D. The graph is a parabola with a maximum at (2,0)
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Consider an investment with the following returns for the past four years: 30%, 25%, -10%, and 12%. If you believe the returns on this investment will continue at the same rate in the future, what is the expected rate of return on the investment? a) 14.50% b) 16.50% c) 17.25% d) 18.20% e) 20.25%
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Which of the following statements is correct? A. If there is a competitive advantage in the production of a good or service in one country over another, the absolute advantage is greater in that country. B. If a large number of different goods can be produced at a lower opportunity cost in one country than in another...
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Using the gross method of recording purchases, which of the following would be included in the journal entry to record a return of merchandise purchased on account for $1,500? a. A debit to Inventory of $1,500. b. A credit to Inventory of $1,500. c. A debit to Accounts Payable of $1,500. d. A credit to Accounts Pay...
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Suppose the proportion of female shoppers in a certain mall is 0.46. On a specific day, a store in the mall took a random sample of 183 shoppers and recorded the proportion of females in the sample. What is the probability that the sample proportion will be within 0.07 of the population proportion?
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Shue, a partner in the Financial Brokers Partnership, has a 30 percent share in partnership profits and losses. Shue's capital account had a net decrease of $100,000 during 20X8. During 20X8, Shue withdrew $240,000 as withdrawals and contributed equipment valued at $50,000 to the partnership. What was the net income o...
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Calculate the expected return for a stock with a beta of 0.75 when the market return is expected to be 20%, the risk-free rate is 4%, and you are assuming the market is in equilibrium.
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Suppose that \(f:[a,b]\to\mathbb{R}\) has a bounded variation. Show that there is a unique decomposition $$f(x)=g(x)+h(x)$$ where $g$ is a continuous function of bounded variation and $h$ is a constant function.
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$$\lim_{x\to 0}\left (\dfrac {1}{x^2} - \dfrac {1}{\sin x}\right)$$ How do I evaluate this limit?
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Cleve Corp. developed the following information for the current year: Direct materials used $15,000 Direct Labor $10,000 Manufacturing Overhead $20,000 Selling Expenses $12,000 Administrative Expenses $15,000 Finished goods inventory January 1 $4,000 Finished goods inventory December 31 $2,000 Work in process i...
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Suppose the AS curve is horizontal. If there is a permanent increase in the money supply, then (a) neither real GDP nor the price level will change. (b) real GDP will increase but the price level will not change. (c) the price level will increase but real GDP will not change. (d) both real GDP and the price level w...
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Snap Dragon Photo reported the following figures on its December 31, 2016, income statement and balance sheet: Net Sales $440,000 Dec 31 2016 Dec 31 2015 Cash $26,000 $28,000 Accounts Receivable 56,000 58,000 Merchandise Inve...
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Consider the market for CNO trading books, which has the following demand and supply functions: P = 200 - Q_D (Demand) P = 4 + 0.5Q_S (Supply) where P is the price in dollars and Q is the quantity in millions of books. At the equilibrium price, what is the total expenditure for the market? A. 516 B. 520 C. 548 D. 5...
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Estimating the time the company will take to recoup its initial investment in a project is the purpose of: A. Payback. B. Discounted Payback. C. Both. D. Neither.
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Ivanhoe Corp. made a sale on account for $23,550 with the following terms: 2/15, n/30. On June 12, the company uses the gross method of accounting for sales discounts and records a payment by its customer for $13,500. What would be the journal entry for the payment by the customer on June 12? A) No entry is required o...
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A flexible budget variance occurs when the actual: a. costs differ from the static budget costs. b. costs differ from the master budget costs. c. revenues differ from the static budget revenues. d. revenues differ from the master budget revenues. e. Both a and c.
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A decrease in the money supply growth rate reduces the inflation rate and the growth rate of nominal GDP because it: A. Increases the velocity of circulation B. Decreases the velocity of circulation C. Decreases real output, which reduces nominal GDP D. Has nothing to do with the velocity of circulation
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I want to prove that an expression evaluates to one using L'Hopital's rule and natural logs, but I need help with the exact math.
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Calculate the total income tax that would be imposed on the gross income in each of the following independent scenarios. (a) Gross Income (cash) = $143,000; Cash Payments for Taxes = $58,000; Accrued but not paid expenses = $21,000. (b) Gross Income (credit) = $168,000; Accrued but not paid expenses = $33,000. (c...
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Approximate the area within one loop of the polar curve r = 4 cos(3\theta) by using rectangles. Show the setup of the integral then use your calculator to approximate the area to four decimal places.
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Johnson Corporation recently declared cash dividends of $100,000 and $200,000 for the fiscal years ended December 31, 2015, and 2016, respectively. It also declared stock dividends of $10,000 and $20,000 for the years 2015 and 2016, respectively. No other changes occurred in common or preferred shares during 2016. The ...
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The XYZ company's target capital structure is 75 percent equity and 25 percent debt. Its cost of equity is 18 percent, and the cost of debt is 8 percent. The relevant tax rate is 35 percent. If the company's dividend is expected to start at $4 next year and grow at a constant rate g, what is the firm's WACC? 14.75% a....
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Assume the probability of a pessimistic, most likely, and optimistic state of the economy is 30%, 50%, and 20% and the returns associated with those states of nature are 10%, 12%, and 16% for Asset X and 8%, 9%, and 10% for Asset Y. If you are a risk-averse investor which of the following statements are true: a. The i...
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If investors fear that there will be a devaluation of a fixed exchange rate, this will lead to a sharp _____ in foreign reserves and a _____ in the domestic interest rate. A. rise; rise B. rise; fall C. fall; rise D. fall; fall
C
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Estimate the maximum value of f(x) = 3x - x^3 on the interval (-2, 2).
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Suppose the marginal product of labor is 10 and the marginal product of capital is 8. If the wage rate is $5 and the price of capital is $2 then in order to minimize costs the firm should use: a. more labor and less capital. b. more capital and less labor. c. labor and capital in equal amounts. d. more labor. e. N...
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Find the absolute maximum and absolute minimum for $f(x,y) = x^2 + 2y^2 - 6y + 5$ on the region $R$ with boundary $x^2 + y^2 = 9$.
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For each $1,000 of retail sales, an electronics store pays its employees $300. If they sell goods of $1,000 or more, they receive a commission of 10% of the sales price for that merchandise. For the month of July, the store's employees earned commissions of $3,000 and received total paychecks of $13,000. Based on this ...
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A telemarketing company wants to find out if people are more likely to answer the phone between 7 pm and 9 pm than between 6 pm and 7 pm. Out of 96 calls between 6 pm and 7 pm, 72 were answered. Out of 105 calls between 7 pm and 9 pm, 90 were answered. Using a one-sided hypothesis test with a 90% confidence level, whic...
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Imagine that you have been asked to apply the industrial organization model to explain why a firm is performing poorly. What is the most likely explanation for the firm's poor performance according to this model? a. Lack of core or distinctive competencies. b. Inability to achieve a sustainable competitive advantage....
c
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The Operating Department of Silver Inc. is analyzing a service proposal that would use an automated materials handling system. There is no salvage value for the new system, which would cost $189,600. The automated system is expected to yield the following annual cash inflows and outflows: Delivered materials: $243,000...
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The funds (money) that you pay into a government and local authority social security schemes during your lifetime, when you retire and start to draw benefit, will be paid to those of you who have retired, not to the current set of workers. Please select one: A. True B. False
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Assume that actual overhead consisted of $35,000 for indirect labor, $30,000 for indirect material, and $15,000 for depreciation of factory equipment. Based on the present rates, $72,500 of overhead was applied to work in process. Which of the following statements is true? a) Overhead is underapplied. b) This is vi...
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Susan Cabinet shop has total budgeted variable overhead of $220,000. Actual variable overhead for the period also amounted to $220,000. The overhead is based on direct labor hours. Other data on the two types of cabinets are as follows: For M: Budgeted hours per unit 10 Budgeted production 100 Actual hours per unit ...
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You purchased 100 shares of stock at a price of $10.13 per share. The total purchase amount included a $14.72 brokerage commission. What is the initial cost per share? A. $10.09 B. $10.13 C. $10.20 D. $10.24 E. $10.36
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The WACC for a firm is 13.00 percent. You know that the firm's cost of debt capital is 10 percent and the cost of equity capital is 20%. What proportion of the firm is financed with debt?
0.7
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Suppose the mean income of firms in an industry for a year is 65 million dollars with a standard deviation of 16 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 39 million dollars? Round your answer to four decimal places.
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Philosophy is important because it: a) Directs and defines service b) Identifies prerequisites to leisure involvement c) Directs and explains functional behavior areas d) Identifies who is responsible for service
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How much of the operating cost is reasonable to charge to the product development project for the following costs? The total operating costs for the company this month were $10,000. The project development staff is composed of 2 full-time employees (30 hours per week each), 2 part-time employees (20 hours per week each...
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If Congress reduces income taxes, using discretionary fiscal policy to increase aggregate demand, which of the following results is most likely? a) Actual inflation will decrease. b) Actual inflation will increase. c) Actual unemployment will increase. d) The output gap will increase. e) The natural rate of unempl...
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Which of the following is true of related parties? a. Interests of related parties should not be considered in determining the rate to be used in the lower-of-cost-or-market test. b. Interests of related parties should be considered in determining the rate to be used in the lower-of-cost-or-market test. c. Interests...
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If we believe that the cost of not maintaining a car at regular intervals is higher than the possible lost costs of maintaining a car at regular intervals, the error we want to avoid is the false conclusion that the car is maintained at regular intervals, which is: a. a type I error. b. a type II error. c. a false a...
b
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Which of the following is a disadvantage of the functional type of organizational design? A) It requires a much higher degree of trust than would be required in other design structures to conduct successful business. B) Vertical top-down communications are less efficient as they are complicated by dual reporting rela...
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A stock has a required rate of return of 11%, and it sells for $25 per share. If the dividend is expected to grow at a constant rate of 5% per year, what is the expected year-end dividend, D1?
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Find the area of that part of the plane 7x+ 3y+ 3z = 21 that lies in the first octant.
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Seneca Corporation stock currently sells for $71 per share. The market requires a return of 10% on the firm's stock. If the company maintains a constant 3.5% growth rate in dividends, what was the most recent dividend per share paid on the stock?
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Morris Industries has a December 31, 2018 balance in the deferred tax asset account of $68,000. These deferred taxes are due to an accumulated difference in treatment under tax and accounting for noncurrent (long-term) depreciation expense. The 2019 enacted tax rate is 40%. In 2019, the company records the following pr...
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Bay City issued 8-year $10 million in bonds at face value to be used to build a new police station (building). Where will the $10 Million long-term bonds payable liability be reported? A) Only in the Fund Based balance sheet. B) Only in the government-wide statement of net positions. C) In both the fund-based balanc...
C
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Find the sequence $\{a_n\}$ of partial sums of the series $\sum_{n=1}^{\infty}\frac{(-1)^{n-1}}{n^4}$.
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Prepare a journal entry to record the loss of $27,000 due to a fire in the warehouse, based on the following information: - Loss is 30% of 2014 sales. - Inventory lost had a cost of 40% of sales price. - Sales price was $100,000. - Loss of revenue and profit due to fire is estimated at $35,000. - Inventory lost has a ...
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If a firm is maximizing profit, accounting profit must be positive. True or false? Explain your answer.
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Why is my method of applying the FTA theorem to find the poles and residues of the integrand $\dfrac{z^2}{(z-2)(z-3)^3}$, by integrating around a circle $z = 5/2$ around the three-pole at the origin, incorrect, given that I obtained the residue of the integrand at the pole $z = 2$ as $4/7$ instead of the expected $2/3$...
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The Fair Trade Commission has imposed a ceiling price on the sale of corn at $110 per ton, at which the quantity demanded will equal 100 tons. It is estimated that the elasticity of supply for corn is 0.6. What is the minimum price that sellers must receive, assuming that the elasticity of demand for corn is 1.2, given...
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Find the derivative of the function {eq}g(x) = \int_{1}^{x^3} \sqrt{t^5 - 1}\ dt{/eq} on {eq}(1, \infty){/eq}.
3x^2 \sqrt{x^{15}-1}
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Swiss Clothing just paid their annual dividend of $2.45 per share. They are projecting dividends of $2.80, $3.25, and $3.80 over the next three years, respectively. After that, the company expects to pay a constant dividend of $2.50 a share. What is the maximum amount you are willing to pay for one share of this stock ...
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Based on the information provided below, calculate the aggregate demand (AD) curve (Price Level vs Quantity of GDP demanded) based on the 3%, 2%, 1% and 0% interest rate levels. Remember, at each interest rate level, consumers will spend 80% of their income and firms will invest $400 billion (this is the autonomous inv...
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Last month a company that produced premium speakers purchased an array of raw materials and supplies that have a total cost of $50,000. All the materials have been received and are in the warehouse. How would the company record this transaction? a. Inventory raw materials and supplies; credit Inventory for $50,000. b...
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For the current year ($ in millions), Pecos, Inc. had $75 in pre-tax accounting income. This included warranty expense of $5 and $20 in depreciation expense. Two million of warranty costs were incurred and MACRS depreciation amounted to $40. In the absence of other temporary or permanent differences, what was Pecos' in...
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Suppose the Fed buys $100,000 of bonds from the public through the open market. The required reserve ratio is 10 percent and people hold no cash. The maximum amount of money that can be created through this transaction is A) $1,100,000. B) $1,000,000. C) $100,000. D) $0. E) $90,000.
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On July 1, 2021, an interest payment date, $150,000 of ABC Co. bonds were converted into 3,000 shares of ABC Co. common stock each having a par value of $45 and a market value of $54. There is a $6,000 unamortized discount on the bonds. Using the book value method, what is the total dollar amount of the credits in the ...
144000
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Long term interest rates may not closely follow short term interest rates if A. people prefer to hold transactions accounts over cash. B. the required reserve ratio decreases. C. Lenders are reluctant to make loans. D. the Fed intervenes in the bond market.
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At the beginning of 2018, Wildhorse Industries acquired equipment with a fair value of $6,983,263 by issuing a six-year, noninterest bearing note in the face amount of $9,000,000. The note is payable in six annual installments of $1,500,000 at the end of each year. Calculate the implicit effective interest rate of the...
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Determine the maximum and minimum values of {eq}f(x) = \int^x_{-5} (4 - t^2) dt{/eq} on the interval (-5, 5).
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Which one of the following transactions would create a deferred tax asset? A) Prepaid rent. B) Accrued interest income. C) Depreciation expense. D) Accrued expense payable.
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The rate of return on total assets is most likely to be: a) lower than the rate of return on shareholders' equity. b) higher than the rate of return on shareholders' equity. c) equal to the rate of return on shareholders' equity. d) None of the above.
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The comparative statements of Osborne Company are presented below: OSBORNE COMPANY Income Statements For the Years Ended December 31 2014 2013 Net sales $1,897,652 $1,757,612 Cost of goods sols 1,065,652 1,013,112 ...
$3.59
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In the 2-factor, 2 good Heckscher-Ohlin model, an influx of workers from across the border would a. move the point of production along the production possibility curve. b. shift the production possibility curve outward, and increase the production of both goods. c. shift the production possibility outward and decrea...
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Suppose you know that a company's current EPS is $1.50 and its earnings are expected to grow at 5% in the future. The company's P/E ratio is 24. What is the stock's current price?
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Consider a 2 period economy, where the current utility U(c1) = 3C1 - .5 C1^2, where C1 is the amount of consumption in period 1. The interest rate for period 1 to 2 loans is 40%. The consumer has 5 units of the consumption good in both periods. He faces the following utility function: U(c1, c2) = (C1)(C2) Suppose th...
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Under which of the following demand situations is the margin of safety (in terms of volume) the highest? A) The price of the product is reduced by 10%, while the product's own price elasticity of demand is +2.0. B) The price of the product is increased by 10%, while the product's own price elasticity of demand is +2....
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The narrow and broad balance of payments should both equal zero because: A. both accounts take into account all transactions occurring between residents of a country and foreigners. B. the accounts must "balance" in order to include the financial account. C. it is a requirement of double-entry bookkeeping. D. none ...
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Farris Corporation, which has only one product, has provided the following data concerning its most recent month of operations: Selling price$172 Units in beginning inventory0 Units produced9,700 Units sold9,300 Units in ending inventory400 Variable costs per unit: Direct materials$33 Direct labor$75 Variable manufa...
11600
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The common stock of Dayton Repair sells for $53.25 a share. The company recently paid its annual dividend of $3.80 per share and expects to increase this dividend by 5 percent annually. What is the rate of return on this stock?
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If the ECB increases the supply of euros, then in the short run the dollar will _____ against the euro. A. depreciate B. maintain its value C. appreciate
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A firm has 6 million shares outstanding with a market price of $2.5 per share. The firm plans to execute a leveraged recapitalization. The firm will reduce its outstanding debt by $3 million and raise $3 million in new equity. What will the firm's share price be if the recapitalization works as expected? The firm has n...
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Use partial fractions to evaluate {eq}\int {{{6x - 5} \over {{x^2} - 6x + 8}}} \;dx
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How do you find the indefinite integral #int e^x/(1+e^x) dx# using substitution?
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The depreciation deduction for year 11 of a 15-year property with a 20-year class life is $4,000. If the salvage value of the asset is estimated to be $5,000 and MACRS-GDS is used to calculate the depreciation deduction for year 11, what was the initial cost of the asset? a) $42,105 b) $67,682 c) $72,682 d) $80,000
B
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Using the information below, please calculate your marginal rate of substitution (MRS) of current consumption for future consumption, given that your income is $55,000 per year, you wish to consume $15,000 per year now, and you plan to invest the rest at a return of 10%. If you saved and invested $5,000 more in the fu...
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A sample of 1200 computer chips is taken from a very large batch, and it turns out that 30 are defective. What is the probability that the next chip taken from the batch will be defective? Assume that this process represents an infinite batch.
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Using Newton's Method with the function f(x) = 2x - 2 - cos(x) and an initial value of X0 = 2, what would the next value X1 =?
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Malone Co. is considering a four-year project that will require an initial investment of $9,000. The base-case cash flows for this project are projected to be $11,000 per year. The best-case cash flows are projected to be $15,000 per year, and the worst-case cash flows are projected to be -$1,000 per year. The company'...
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Show that if {eq}f{/eq} is odd and {eq}2L{/eq}-periodic and if {eq}a{/eq} is any real number then the integral of {eq}f(ax){/eq} from {eq}-L{/eq} to {eq}L{/eq} equals {eq}0{/eq}.
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Use Green's Theorem to find the counterclockwise circulation and flux for vector field {eq}F = (y - 6x^2)i + (x + y^2)j {/eq} and {eq}C{/eq}: the triangle made by the lines {eq}y = 0{/eq}, {eq}y = x{/eq}, and {eq}x = 1{/eq}.
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ABC Company leased equipment to XYZ Corporation under a lease agreement that qualifies as a sales-type lease. The lease contains a bargain purchase option that is effective at the end of the fifth year. The expected economic life of the asset is 10 years. The asset is expected to have a residual value of $2,500 at the ...
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Find the divergence of the following: {eq}F = x\delta (x^{2} + y^{2})y \hat{a}_{y} - y\delta (x^{2} + y^{2})x \hat{a}_{x} {/eq} (a) 0 (b) 2 (c) x (d) {eq}2\delta (x^{2} + y^{2}) {/eq} (e) -2{eq}\delta (x^{2} + y^{2}) {/eq}
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Which statement about prokaryotic cell division is FALSE? A. Prokaryotes usually undergo cell division without prior DNA replication. B. A single origin of replication is found in prokaryotic genomes. C. The two DNA strands are often separated before cell division. D. Cell division is initiated at the centromere of...
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