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If an economy is experiencing severe unemployment, what fiscal policy action is most appropriate? A. decrease taxes B. increase government spending C. decrease transfer payments D. increase taxes E. all of the above
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An array of two identical cylindrical metal shells separated by a small but finite distance. Each shell has radius {eq}R {/eq} and carries charge {eq}Q {/eq}. One of the shell carries a charge {eq}+ Q {/eq} while the other carries a charge {eq}- Q {/eq}. Let {eq}\vec{E} {/eq} be the electric field in the region be...
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Assume that the interest parity holds, the future expected exchange rate is constant, the current nominal exchange rate is 1.2, the one-year foreign interest rate is 3%, and the one-year domestic interest rate is 6%. One could conclude that financial market participants expect that the exchange rate will over the comin...
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In Nigeria, the GDP rose from $155 billion to $210 billion between 2016 and 2017, respectively. The inflation rate in 2017 was 27%. The growth rate of real GDP (i.e. adjusted for inflation) growth rate is: a. 6.68% b. 35.48% c. 72.06% d. Cannot be determined based on the information provided.
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Evaluate Georgianna's claim that the average child in a small city renowned for its music school takes at least 5 years of piano lessons, using a hypothesis test with a random sample of 20 children, a mean of 4.6 years, and a standard deviation of 2.2 years. The hypotheses are: a. {eq}H_o; \mu = 5 {/eq} {eq}H_a: \mu...
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An object is initially moving in the horizontal direction at 4.60 m/s; it then undergoes an acceleration in the vertical direction given by 1.30 m/s2 upward for 1.60 s. What is its speed after the acceleration? Express your answer with the appropriate units.
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The first payment of $2,500 was made 2 years and 6 months ago and the second payment of $3,000 was made 18 months ago. The interest rate is 6% compounded monthly. How many monthly payments of $500 must be made to fully pay off the debt?
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Use the information below to answer this question. Revenues $12,000 Contribution Margin $5,000 Fixed Costs $3,000 Variable Cost per Unit $1 Number of Units Sold 10,000 Fixed Cost per Unit (based on 10,000 units) $3 ...
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Use Stoke's theorem to evaluate the line integral of the vector field {eq}F(x,y,z)=yzi+zx^2j+x^2yk {/eq} over the triangle with vertices (0,0,0), (2,2,0) and (0,2,1) oriented counterclockwise as viewed from above.
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A department store will prize one customer who purchases an item that costs more than $150 in a given week. At a time when 12.5% of the customers make such a purchase, what is the probability that a customer will win the prize? a. 0.125 b. 0.150 c. 0.875 d. 0.686
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What is #P(x)# for #n= 6,x = 3, q=0.7#?
0.18522
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Under variable costing, changes in production levels affect which of the following? a. Fixed manufacturing overhead. b. Variable manufacturing overhead. c. Total product costs. d. Period costs.
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You would like to have $500,000 in 20 years for your retirement. You plan to put away $14,000 each year (end of the year). What is the minimum interest rate that you would need to receive $500,000? a. 6.5% b. 5.72% c. 5% d. 4.5%
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Kirk Vines, Inc., issued bonds with a total face value of $100,000 on January 1, 2017. The bonds have a stated annual interest rate of 12 percent and mature on December 31, 2021. The company uses the straight-line method of amortization to amortize any bond discounts or premiums. The bonds are dated January 1, 2017, a...
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Franklin is considering adding appliances to its offerings. Which one of the following is the best example of an incremental cash flow related to the appliances? A. Using the store's billing system for appliance sales B. Paying the rent for the store C. Moving furniture to provide floor space for the appliances D. ...
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Calculate (if possible) the following limit: {eq}\lim_{x \rightarrow 0^+} x^x {/eq} Show all work and explain.
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Find all $x$ such that all partial sums of the series: $$1+(x+2/x)+(3x+2/x)+(5x+2/x)+(7x+2/x)+\ldots$$ are square numbers (i.e. squares of some integers).
x=1
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Last year, Kiddy, Inc. had a pretax income of $100,000 and sales of $2,000,000. Its tax rate is 35 percent. If sales rise by 5% next year and cost of goods sold and other expenses also rise by 5% next year, then what will be the firm's after-tax net income next year? a. $95,000 b. $98,000 c. $102,000 d. $105,000 e...
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If the selling price of a bond exceeds the face amount, then the market rate of interest _____ than the stated rate of interest on the bond, and the bond is said to be selling _____. a. is higher; at a discount b. is lower; at par c. is lower; at a discount d. is higher; at a premium
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Three identical charges (q=-4.1{eq}\mu {/eq}C) lie along a circle of radius 3.5m at angles of 30 degrees, 150 degrees, and 270 degrees, as shown in the figure below. What is the resultant electric field at the center of the circle?
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A decrease in the risk-free rate is most likely to: a. Decrease the WACC of a firm with high financial leverage b. Increase the WACC of a firm with low financial leverage c. Increase the WACC of a firm with high financial leverage d. Have no effect on the WACC of a firm
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For a $d$-dimensional Gaussian distribution $\mathcal{N}(\mu, \Sigma)$ with $\Sigma$ positive definite, the differential entropy is given by $h = \log(\sqrt{(2\pi e)^d |\Sigma|})$. Consider a sequence of such distributions $\{X_n\}$ that converge pointwise to a distribution $\{X\}$, such that $|\Sigma_n| \to |\Sigma|$,...
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What is the likeliest m/z value for the base peak in the mass spectrum of 3-methylpentane?
57
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IN the R-S graph, Partial and full is represented by a. lower triangle of the zero profit and full insurance lines b. lower portion of zero profit line c. upper portion of full insurance line d. upper portion of zero profit line e. none of the above
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In the year that this problem was written, the population of Poland was 38 million. The government wanted to increase the population to 48 million. If the growth continues, what will the population be after 10 years? Assume exponential growth. Round to the nearest million.
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CJ is conducting a job performance appraisal for one of her medical receptionists, Janet. Even though CJ has received several complaints that Janet has violated HIPAA, she rates Janet's performance well because Janet scored a 98% on the company HIPAA training program. This is an example of what criterion contamination?...
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A project will produce an operating cash flow of $1,565,000 a year for five years. The initial after tax cash flow is $1,400,000. In year 6, the project will be closed and the net after tax cash flow will be $445,000. What is the internal rate of return if the initial cost of the project is $5,100,000? A) 12.70 percen...
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Fun Land is considering adding a miniature golf course to its facility. The course would cost $48,000, would be depreciated on a straight line basis over its 6-year life, and would have a zero salvage value. The estimated income from the golfing fees would be $38,000 a year with $9,000 of that amount being variable cos...
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Given the following information and assuming straight-line depreciation to zero, what is the IRR of this project? Initial investment=$6,000 life=4 years cost savings=$2,500 per year salvage value=$2,000 in year 4 tax rate=35% discount rate=10%. a. 24.87% b. 21.56% c. 16.13% d. 13.51% e. None of the above
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Determine whether the sequence converges or diverges. If it converges, find its limit. $$a_n = \frac{\tan^{-1}(n)}{n}$$
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Which of the following account balances would be considered correct by an accountant who recorded the entry for the payment of interest due on a loan with an adjusting entry? a. Interest Expense: $0; Interest Payable: $0 b. Interest Expense: $0; Interest Payable: $1,000 c. Interest Expense: $1,000; Interest Payable:...
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Routt corporation had the following sales and production for the past four years. Year 1 Year 2 Year 3 Year 4 Production in units 5,000 6,000 5,000 5,000 Sales in untis 4,000 5,000 5,000 7,000 Selling price per unit, varianc...
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Avatar Auto Parts Company uses the indirect method to prepare the statement of cash flows. Refer to the following section of the comparative balance sheet: Avatar Company Comparative Balance sheet December 31, 2014, and 2013 2014 2013 increase /decrease Accounts payable ...
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Baldwin's turnover rate for this year is 6.3314%. This rate is projected to remain the same next year and no further downsizing will occur from automating. Baldwin plans to spend an additional $500 beyond the extra amount above the $1000 recruiting base it spent this year. The goal of this additional investment is to i...
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Evaluate the line integral $\int_{C} xyz^2 \, \mathrm{d}s$, where $C$ is the line segment from $(-2, 6, 0)$ to $(0, 7, 3)$.
-99\sqrt{14}/10
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Toro Co. has been using LIFO for inventory purposes since its inception on January 1, 2012. It recently decided to switch to FIFO. Given the following data, what is Toro's income before income taxes in 2012 if it had used FIFO? 2012 2011 2010 Net income $204,000 $157,000 $180,000 No change in the number of sha...
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You are considering three different bonds. Bond A has a duration of 12 years, Bond B has a duration of 9 years, and Bond C has a duration of 10 years. Which of the following statements can you conclude from this information? a) Bond C will have the greatest percent change in price if interest rates increase. b) Bond...
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A 3.00 g bullet with a muzzle velocity of 300 m/s is fired into a 2.00 kg pendulum initially at rest. The bullet becomes embedded in the pendulum, which then swings upward in an arc of length 1.30 m. Calculate the maximum height H above the initial position of the pendulum.
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$\dot{x}+ x = \epsilon$. Given $x(t) = c_1e^{-t}+c_2e^{-2t}$ and using the method of undetermined coefficients with the assumption $x = At + B$ leads to the equation $(1-A)t+B+\epsilon = 0$. How can the conclusion $x(t) = \epsilon$ be reached from this equation, and where are the constants $c_1$ and $c_2$ in the final ...
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Which of the following activities regularly carried out by an exempt organization will not result in unrelated business income? a. the sale of laundry services by an exempt hospital to other hospitals b. the sale of heavy duty appliances to senior citizens by an exempt senior citizens' center c. accounting and tax s...
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What actual scores would be A's if fifty students took an Introduction to Chemistry exam with scores forming a normal distribution with a mean of 82 and a standard deviation of 4, and the professor adjusted the scores by creating z scores, with only the first 2.5% of students getting an A?
89.84
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The accumulated value at the end of 3 years of a continuous stream of capital deposits at a rate of {eq}\delta {/eq} into an account which pays interest at a rate of 4% per annum compounded continuously is 17,000. Find {eq}\delta {/eq}.
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If gross investment is $30 billion, depreciation is $25 billion, and net investment is $5 billion, then net investment will be _____ if gross investment rises by $5 billion and depreciation rises by $3 billion. a. $4 billion b. $2 billion c. $12 billion d. $18 billion
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Consider a random sample of n = 36 taken from a normal population with a mean of 106 and a standard deviation of 12. What is the probability that the sample mean deviates from the population mean by no more than 4?
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When the yield curve is upward sloping, generally a financial manager should: A. utilize long-term financing B. utilize short-term financing C. wait for future financing D. lease
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The cost of equity for Endicott Manufacturing is 18%. Its tax rate is 40% and its cost of debt is 12%. What is Endicott's target weighted average cost of capital if its target debt-equity ratio is .45?
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A 98.5-kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.59 rad/s. A monkey drops a 9.93-kg bunch of bananas vertically onto the platform. They hit the platform at 4/5 of its radius from the center, adhere to it there, and continue to rotate with it. Th...
1.01 rad/s
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Which organization strategy model would work best for a company trying to implement an ERP system? a. Business Diamond model b. Shareholder value model c. Porter's generic strategic model d. Hypercompetition model
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Suppose the Washington Post Company (WPO) has no debt and an equity cost of capital of 9.4%. The average debt-to-value ratio for the software industry is 15.1%. What would its cost of equity be, if it took on the average amount of debt for its industry at a cost of debt of 6.8%?
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Assuming an end-of-year cash flow of $250 and a 10 percent discount rate, what is the present value of a 5-year annuity?
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Suppose $u_1, u_2, \ldots, u_{100}$ are vectors with $\|u_i\| = 1$ for $i=1,2,\ldots,100$. Prove that there exist $-1 \le a_i \le 1$ for $i = 1,2,\ldots,100$, not all zero, such that $$\left\| \sum_{i=1}^{100} a_i u_i\right\| \le \sqrt{3}.$$
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A firm whose sales fluctuate widely over a relatively short time might require a {eq}\ \rule{1.5cm}{0.15mm} \ {/eq} cash budget. A) weekly B) monthly C) quarterly D) biweekly
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Which of the following is not included in GDP but is included in GNP? A. A foreign company's production in the United States B. Income of a citizen of Germany working in the United States C. Economic activity of U.S. citizens working abroad D. Sales of a good by one firm to another firm
C
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Management by exception involves investigating a variance when: A) the actual cost is more than the standard cost. B) the standard cost is more than the expected cost. C) the variance is unfavorable or its magnitude is large. D) the variance is favorable or its magnitude is large.
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A firm owns a factory that manufactures plastic which has a book value of $5 million. At the start of the current year it sold the factory for $6.25 million, making a $1.25 million gain. If the firm is in the 35% tax bracket, what is its after-tax gain on the sale?
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What is the minimum number of years in which an investment costing $565,000 must return $345,000 per year at a discount rate of 16 percent in order to be an acceptable investment? A. 4.28 years B. 5.31 years C. 5.41 years D. 2.20 years E. 3.62 years
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Assume that the interest rate is 4% and that all payments are made at the end of each year. How much would you pay to receive $1,000 per year forever, given the choices below? A. $14,000 B. $15,000 C. $20,000 D. $25,000
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A sample of gas expands from an initial pressure and volume of 10 Pa and 1.0 m3 to a final volume of 2.0 m3. During the expansion, the pressure and volume are related by the equation P = a V^2. How much work is done by the gas during this expansion if a = 10 N/m^8?
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Mrs. Mary, would like to retire in 28 years. She would like to accumulate, 600,000 live a contented life. She would like to set aside an equal amount each month to achieve her goal. What is the monthly amount Mary should save if she can invest them at an interest rate of 10.2%? a. $798.36 b. $840.38 c. $532.24 d. $...
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Jekyll and Hyde Hotels is considering a new project that will require $90,000 in net working capital and $80,000 in equipment. The project is expected to generate annual operating cash inflows of $25,000 with an annual depreciation expense of $8,000. The firm's tax rate is 35 percent and the project life is currently e...
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Wiley Corporation adopted a 150 percent-of-cash basis of accounting on January 1, 20X7. The cash received was $66,000 for a lease agreement on December 31, 20X7, for equipment to be delivered January 1, 20X8. Which of the following statements is correct with regard to the equipment and the rent? A. Equipment, $99,000;...
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Use Riemann sums and 10 rectangles to find the approximation of the area of the region between the graph of the function {eq}f(x) = -x^2 + 12x + 7{/eq} and the x-axis over the interval {eq}[0,10].{/eq}
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An asset's life is 6 years. It costs $50,000, has a $5,000 salvage value, and generate annual cash revenues of $30,000 and annual cash expenses of $10,000. What is the accounting rate of return in %?
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Over the past year, Hinata Manufacturing Corporation had a net profit on a variable cost basis of $85,000 and a net profit on an absorption cost basis of $73,000. Fixed manufacturing overhead costs per unit were the same in both the prior and current year ($1.20 per unit). What was the change in inventory over the yea...
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By recognizing the series {eq}\displaystyle -((1/4))+\frac{((1/4))^2}{2}-\frac{((1/4))^3}{3}+ \cdots + (-1)^n\frac{((1/4))^n}{n}+\cdots {/eq} as a Taylor series evaluated at a particular value of x, find the sum of the convergent series.
ln(4/5)
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A Gamma distribution with parameters {eq}s {/eq} and {eq}r{/eq} has density {eq}f(y) = \frac{y^{r-1}e^{-y/s}}{s^r \Gamma(r)} {/eq}, where {eq}0 < y < \infty {/eq} and {eq}s, r > 0{/eq}. If {eq}r = 1{/eq}, show that a gamma-distributed random variable is equal to an exponential random variable with parameter {eq}s{...
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Suppose you are the money manager of a $5.20 million investment fund. The fund consists of 4 stocks with the following investments and betas: StockInvestmentBeta A$320,0001.50 B$840,0000.50 C$1,520,0001.25 D$2,800,0000.75 If the market's required rate of return is 9% and the risk-free rate is 7%, what is the fund's ...
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The utility function {eq}U(x,y) = 16x^{0.25}y^{0.25} {/eq} describes Jim's preferences over points {eq}(x,y) {/eq} in his consumption set. The prices of the goods are {eq}p_x {/eq} and {eq}p_y {/eq} and the amount of income Jim has to spend on the two goods is {eq}m {/eq}. Using the Lagrange method, find Jim's Mar...
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Jorge Company uses the LIFO method to account for inventory. In 2015, net income was $800,000 using $50 per unit LIFO inventory. In 2016, net income was $924,000 using $58 per unit LIFO inventory. What is the amount of the LIFO inventory reserve at the end of 2016? A. $624,000. B. $756,000. C. $800,000. D. $924,00...
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I want to show that $$\lim_{n\to \infty} \sqrt[n]{n} = 1$$ I know that $\sqrt[n]{n}\leq 1+\sqrt{n}$. However, $\sqrt{n}\to \infty$, so I know that $\sqrt[n]{n}\leq 1+\sqrt{n}\to \infty$. How do I show that $\sqrt[n]{n}$ approaches $1$ from the left?
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Could anyone advise on how to find the order of $G ?$ By Lagrange theorem, $25$ and $35$ divides $|G|$, so $|G|\geq 875? $
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A plot of ln(k) versus 1/T for a particular chemical reaction shows that the slope is -2.50 x 103 K and the intercept is 6.28. What is the activation energy for this reaction?
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The following data have been taken from the absorption cost variances report of Lu Hong Company for August. Flexible Budget Variances $2,158U Sales Volume Variances $6,210U Budgeted Amounts $8,368 The amount of budgeted fixed overhead cost is closest to: A. $8,368 B. $2,158 C. $6,210 D. $408
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Required: At your discount brokerage, when you buy a stock, the price is the New York Stock Exchange (NYSE) quote plus a 0.75 percent transaction fee. When you sell a stock, the price is the NYSE quote minus a 0.75 percent transaction fee. Calculate your total transaction fee if you buy 500 shares of a stock at $58 and...
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Assume a situation in which your firm has been given a contract to supply the first country in an area with a demand function of {eq}Q_D = 200 - P {/eq}, where {eq}P {/eq} is measured in dollars and {eq}Q_D {/eq} is measured in tons. Your competitor will produce in the second country only if it makes a profit, and i...
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The bond fund manager wishes to minimize his expected rate of return and will choose the portfolio (with different composition of two bonds) that will give him a: a) 5.1% return b) 5.6% return c) 5.9% return d) 6.0% return e) none of these
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What is the single most important indicator used to identify impaired accounts receivable? a) the customer's payment history. b) the age of the accounts. c) credit reports and references. d) industry in which the company operates.
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What is the present value of $140,000 to be received at the end of each of 20 periods, discounted at 5% compound interest?
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Which of the following would indicate a conflict between the goals of full employment and balance of payments equilibrium ? a. inflation and a balance of payments deficit b. unemployment and a balance of payments surplus c. unemployment and a balance of payments deficit d. full employment and a balance of payments ...
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If a large corporation earns revenues of {eq}\$200 {/eq} million in year one and revenue of {eq}\$220 {/eq} million in year two while incurring expenses of {eq}\$100 {/eq} million in year one and expenses of {eq}\$120 {/eq} million in year two, what is the cash flow to the corporation in year two, assuming a margin...
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With reference to the following question: The company's relevant cost of capital is 10 per cent. Its current working capital is $400,000 and it pays tax at a rate of 30 per cent. What is the NPV of project Y (rounded to the nearest $)? YEAR INVESTMENT IN Y INVESTMENT IN X 0 ...
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A linear inverse demand function is given by p = 1,200 - 40Q If a firm's revenue maximizing quantity is 15, then its profit maximizing price is _____ when the marginal cost is $30. a. $790 b. $40 c. $820 d. None of the above
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Find $F''(\pi)$ if $$ F(x) = \int_x^{\sin x}\left( \int_0^{\sin t}\sqrt{1+u^4} \ du \right) dt. $$
2
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Suppose $G=\langle a\rangle $ has order $140$. What is the order of the intersection $\langle a^{100}\rangle$ and $\langle a^{30}\rangle$?
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Why does a manager need to understand the concept of risk in order to make investment decisions that maximize shareholder wealth?
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Carter's Bed Co. wants to add a new line of comfortable easy-chair to their furniture line. The easier chair would cost $130,000 and has a three-year life. The firm wants to recoup this investment in two years. What is the minimum annual sales level in dollars required to recoup this investment if the new chairs are pr...
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What is the charge on the oxide ion ({eq}O^{2-} {/eq})? Express your answer using two significant figures.
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Let $A=\dfrac {x}{x-9}$ and $B=\dfrac {x-9}{x}$. Find $\dfrac {A}{B}$ in simplest form.
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This question already has answers here: Prove that $\lim_{x \to \infty}\big(\frac{x}{x-1}\big)^x$ is also $e$. (4 answers) Closed 4 years ago. I am going over a solution given to solving the follow limit, $$\lim_{x\to \infty}(\frac{x}{x-1})^x$$ The solution continues as follows, Consider raising the function to $e^{ln\...
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For the data given, find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. (Use the data set to find the regression line.) x 0 1 2 3 4 y 2 5 3 3 7 r = 0.874 y= _x + _ (Round ...
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On January 1, 2018, New Age Co. leased equipment to Orlando Corp. The lease meets the criteria of a finance lease under ASPE. The lease term is 6 years. The first payment of $580,000 was made on January 1, 2018. The present value of the lease payments is $2,971,850. Assuming the interest rate for this lease is 8%, how...
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Find the exact value of: {eq}\displaystyle \int^2_1 \int^\infty_1 \frac{y}{x^2 + y^2}\ dx\ dy {/eq}.
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Calculate the line integral of the vector field \vec F(x,y)=(x+y) along the line segment from (0,0) to (2,3).
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An inspection company believes that the mean lifetime of its components is at least 10,000 hours. If this is not the case, it will cease operations. The company knows from experience that the standard deviation of the lifetime of its components is 250 hours. What is the probability that the company will cease operation...
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Mary's Landscaping uses a job order cost system. The following debits (credits) appeared in Work-in-Process Inventory for August: Description Amount August 1 Balance $ 13,900 For the month Direct materials 81,100 For the month Di...
$19,225
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The following standards for variable manufacturing overhead have been established for a company that makes only one product: Standard hours per unit of output: 4.00 hours Standard variable overhead rate: $13.75 per hour. The following data pertain to operations for the last month: Actual hours: 7,800 hours Actual ...
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Find the largest volume of a box that can be made from a piece of cardboard 44 inches squared by cutting equal squares from the four corners and then bending the sides up.
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Find the 6th roots of $-64i$ and express the roots in rectangular form. Show all six roots.
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Use the Shell method to find the volume of the solid generated by revolving the region bounded by {eq}y = x^2, y = \frac{x^3}{3} {/eq} about the line y = 9.
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The consumers' surplus (to the nearest whole dollar) at the market equilibrium for the demand function {eq}p=\frac{81}{(x+9)^2}{/eq} and supply function {eq}p=\frac{x}{5}{/eq} is {eq}\_\_\_\_\_\_\_\_ {/eq}
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