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In the given figure, the arc length along the circumference of the Ferris wheel is $$\frac{1}{4} \text{ of the total circumference}$$ . What would be the length of arc AD if the Ferris wheel's diameter were tripled?
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Why is the answer for (A) $378,315 instead of $284,190? When the absorption method is used, we add fixed manufacturing overhead that is deferred in inventory. If we take the $148,650 in ending inventory and add the fixed manufacturing overhead of $4.45 per unit, then the answer would be $378,315. What am I doing wrong?
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The following information is related to Washington Company's fiscal year 2018: Income Statement: Net Income $2,500,000 Depreciation Expense 100,000 Loss on Sale of Plant Assets 35,000 Interest Expense 15,000 Balance Sheet-12/31/17:...
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How large a sample will she need to be 95% confident that her sample mean will be within 30 seconds of the true mean?
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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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What percentage of students walk 9 miles or more per day, assuming the average college student walks 4 miles per day with a variance of 2 miles?
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If $A,B \in \mathcal M_n(\mathbb R)$ are symmetric such that $AB = \text{I}_n$, find the value of $\text{tr}(A^2) + \text{tr}(B^2)$. Also, is the general formula $\text{tr}(A^k) + \text{tr}(B^k) = \text{tr}\left( (A+B)^k \right)$ correct, and does it hold for all $k \in \mathbb{N}$?
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Master Auto Parts has a standard labor rate of $10.50 per hour. In September the company produced 10,000 gears using 24,000 labor hours. The company experienced a favorable labor rate variance of $18,000 during September. How much is Master Auto Parts actual labor rate per hour?
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For a simple pole $$f(z)=\frac{g(z)}{h(z)-a}$$, can I get the residue at $z_{0}$ by $$\frac{g(z_{0})}{h'(z_{0})}$$, instead of $\frac{1}{2\pi i}\oint_{C}f(z) dz$?
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The short-run aggregate supply curve shifts to the right when A. expected inflation is lower. B. output gap is lower. C. expected inflation is higher. D. output gap is higher.
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Phillip, Inc. reports the following aging schedule for accounts receivable at December 31, 2015. Days Outstanding 0-30 31-60 61-90 Over 91 Amount $87,500 $13,500 $9,300 $2,400 Probability of collection 98% 68% 30% 5% ...
$4,360
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A decrease in the interest rate paid on excess reserves, other things being equal, will _____ the federal funds interest rate, everything else held constant. A) increase B) raise C) lower D) have no effect on
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Which of the following statements about psychographics is most true? a. Psychographics is another name for the analysis of consumer lifestyles. b. It is useful in segmenting and targeting consumers for new products. c. SRI Consulting Business Intelligence provides a psychographic system. d. Psychographics combines ...
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Find a power series solution for $$y'' + x^2y'+(x-1)y = 0$$ Assuming $y = \sum_{n=0}^\infty a_n x^n$ we obtain: $$\sum_{n=2}^\infty n(n-1)a_n x^{n-2} + \sum_{n=2}^\infty a_{n-3}n(n-1)x^{n} + \sum_{n=2}^\infty a_{n-2}nx^{n} - \sum_{n=2}^\infty a_{n-1}x^{n} = 0$$ Setting $k = n-2$ and $l = n$ we obtain: $$\sum_{k=0}^\inf...
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Let $k=\mathbb{Q}(t)$ and let $\sigma$ be an automorphism of $k$ over $\mathbb{Q}$ with $\sigma(t)=-t$. I'm trying to find the fixed field of $<\sigma>$. I know that $k(x)^{\sigma}=k(x^2)$ because $\sigma(x)=-x$ implies $\frac{1}{x}=\frac{-1}{x}$ and so $\sigma(x)=\sigma(\frac{1}{x})=\frac{\sigma(1)}{\sigma(x)}=\frac{1...
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A firm's common stock is currently selling on a stock exchange at $105.00 a share, and its noncallable $1,000, 20-year bonds are selling for $875. If the firm were to issue more bonds, it would incur flotation costs of $35 per new bond. What would be the after-tax cost of debt for the new bonds if the firm is in the 35...
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Fowler Corporation began 2016 with an $86,000 balance in its Accounts Receivable and a $2,400 balance in its Allowance for Doubtful Accounts. The company wrote off a $600 uncollectible account during the year. Fowler Corporation uses the percent of receivables method to estimate its uncollectible accounts. The compan...
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Braddock Construction Co.'s fixed costs total $181,000, its variable cost ratio is 20% and its variable costs are $4.24 per unit. Based on this information, the break-even point in units is closest to: A. 60,714 units B. 68,356 units C. 48,065 units D. 66,258 units
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In a small open economy with a flexible exchange rate and perfect capital mobility, what is the effect of a contractionary monetary policy? A. a rise in interest rate and a depreciation of the exchange rate B. a rise in interest rate and an appreciation of the exchange rate C. a fall in interest rate and a depreciat...
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Find the value of the series $(4/1) + (-5/2) + (6/3) + (-7/4) + \cdots + (-1)^n(n+3)/n + \cdots$.
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Assume the following model of capital budgeting analysis: Net Cash Inflow Machine A Machine B Year 1 $25,000 $50,000 Year 2 $40,000 $40,000 Year 3 $40,000 $30,000 Year 4 $25,000 $20,000 Year 5 $20,000 $10,000 A firm's requi...
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Carter, Inc. is trying to sell you an investment policy that will pay you and your heirs $30,000 per year forever. The cost is $400,000. What interest rate would this be a fair deal?
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1 Now we know that the demand curve a comes from how much the consumer likes a good only b comes from the preferences and budget of the consumer only c comes from the preferences of the consumer and the prices of the goods only d comes from the affordability and budget of the consumer only
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Betson, Inc. had the following data available for the year: Receivables: $180,000; Fixed assets: $400,000; Inventory: $200,000; Long-term debt: $150,000; Current assets: $500,000; Net sales for the year: $1,800,000; Net profit margin: 4.5% What is Betson's days in receivables ratio?
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Assume we conduct a two-sample test for the equality of means, and reject the null hypothesis. If we conduct a one-sided test, we will: a. always fail to reject the null hypothesis. b. always reject the null hypothesis. c. possibly reject or not reject the null hypothesis. d. reject the null hypothesis only if the ...
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According to market participants' views about dividend policy, the following statement is the most frequently cited one: I) We try to avoid reducing the dividend II) We try to maintain a smooth dividend stream III) We look at the current dividend level IV) We are reluctant to make a change that may have to be rever...
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If the required reserve ratio is increased, the money supply will: a. increase b. decrease c. remain the same d. become more volatile
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On January 1, 2011, a company signed a ten-year lease on a warehouse for $100,000 per year, payable at the end of each year. The first payment is due on December 31, 2011. The relevant interest rate is 8%. What is the amount of rent expense recognized in 2011? a. $8,929. b. $8,000. c. $8,728. d. $8,600.
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Suppose that X is normally distributed with a mean of 20 and a standard deviation of 6. What is P(12.82 ≤ X ≤ 29.18)?
0.8219
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In a competitive market the equilibrium price is $100 per unit. If the government begins to tax this good and the market adjustment is to the after-tax equilibrium price, which of the following must be true? Check all that apply. A. The government will make more revenue by using a higher tax rate because the tax will ...
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John works at a company that pays him only a fraction of his earnings. This company uses a _____ marketing channel. a) traditional b) corporate vertical c) administered vertical d) horizontal e) contractual
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In 2012, MNO Company reports income before income taxes of $2,000,000. During 2012, MNO established reserves for bad debts of $400,000 and for unearned revenues of $100,000. MNO also accrued prepaid expenses of $100,000 and deferred unearned revenues of $50,000. MNO is subject to a 30% income tax rate. At the end of 20...
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A favorable difference between inventory cost and market value for inventories normally valued at market, when markets are declining, is reported as a: a. current loss. b. deferred charge. c. deferred loss. d. deferred credit.
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You purchase a Zero Coupon Bond with 12 years to maturity and a $1000 par value for $325.64. Interest is paid every 6 months. What is your yield to maturity on this bond?
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Suppose you know that a company's stock currently sells for $75 per share and the required return on the stock is 11 percent. You also know that the total return on the stock is evenly dividends between capital gains yield and a dividend yield. If it's the company's policy to always maintain a constant growth rate in i...
$3.91
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A barter asset valued at $48,000 (it is not the taxpayer's principal residence) in the year of the exchange and a cash payment of $3,000 are received in a transaction where the fair market value of the property relinquished is $47,000. The property exchange meets the definition of a like-kind exchange. Which of the fo...
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The president of ABC Company will be traveling to Japan to attend the Tokyo Olympics, which will last 3 weeks. The president will need to exchange US dollars to Japanese yen. Which one of the following types of currencies would be most advantageous to exchange into for the duration of the trip? a) Short-term yen, give...
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The management of Vanikoro Corporation is investigating an investment in equipment that would have a useful life of 10 years. The company uses a discount rate of 18% in its capital budgeting. The net investment cost of the equipment is $520,612. The investment would have no salvage value. The company's discount rate is...
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What do you believe is the most important information that a firm's financial statements provide to their creditors, investors, and managers? A. Total revenue for the last year. B. The changes in accounting principles used by the firm over the last two years. C. Information concerning the financial condition of the ...
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How can I see that the sum $\sum_{k=0}^n \frac{\ln(k+1)}{k+1} - \ln(n+1)$ converges, and is it possible to compute its limit exactly?
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Which of the following describes PersonicX household-level segmentation system? a. it was developed by Nielsen Claritas b. it enables marketers to reach targeted segments both on- and offline c. it assigns colorful labels to segments such as "young digerati" and "shotguns and pickups" d. it characterizes six distin...
c
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Why does the expression $\sum_{n=1}^\infty \sum_{i=1}^{[\frac{n}{2}]} \sum_{j=1}^{[\frac{n}{2}]} \frac{1}{n^3}$ simplify to $\frac{1}{2}\sum_{n=1}^\infty \frac{1}{n^2}$, and is this simplification correct?
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Given the series \(\displaystyle \sum_{k=1}^\infty \frac{3\cos(\frac{k\pi}{2})}{k^2-1}\), determine its convergence by selecting all applicable convergence tests from the provided list and showing your work. A. Comparison (or Limit Comparison) with \(\displaystyle \sum_{k=1}^\infty \frac{1}{k^2}\) B. Comparison (or Li...
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What is the probability that a sample of 100 households will yield a sample mean of less than $150,000, given that the mean value of homes in a community in southern California is $150,000 and the standard deviation of home prices is $30,000?
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Walter Motors' current ratio is 2.0 and its total asset turnover is 0.40. What is its TIE ratio (assuming no amortization)? Do not round intermediate calculations. TIE ratio: _____ times
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The _____ stage of creative thought is often called the incubation stage. a. orientation b. preparation c. incubation d. testing
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A business settles a note payable that is long term plus interest by paying $68,000 cash toward the principle amount and $5,440 cash for interest. Compute the amount reported as a use of cash under cash flows from financing activities. Explain your answer.
$68,000
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Which of the following would indicate that a firm should not invest in a project? a. A positive NPV when the discount rate equals the IRR. b. A negative NPV when the discount rate exceeds the IRR. c. A negative IRR when the discount rate is 0%. d. A positive IRR when the NPV is negative.
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James inherited an annuity worth $2,493.10 from his uncle. The annuity will pay him three equal payments of $950 at the end of each year. What rate of return is the annuity fund offering? a.) 8.26% b.) 7.00% c.) 9.45% d.) 6.09%
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If the absolute value of the calculated test statistic is _____ than the critical value at the correct significance level, you would _____ the null hypothesis of equal means. a. Greater; accept b. Less; reject c. Greater; reject d. Less; accept e. Only (c) and (d) of the above.
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Keys Printing plans to issue a $1,000 par value, 20-year noncallable bond with a 7.00% annual coupon, paid semiannually. The company's marginal tax rate is 40.00%, but Congress is considering a change in the corporate tax rate to 55.00%. By how much would the cost of debt used to calculate the WACC change if the new ta...
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Compute the limit using the Taylor expansion, $$\lim_{x\to 0}\frac{\sin(e^x -1 -x)-x}{x^2}$$ I've reduced this to $$\lim_{x\to 0}\frac{(x-\frac{x^3}{6}+o(x^3))-(x+\frac{x^2}{2}+o(x^2))}{x^2}$$ and I'm not sure how to proceed.
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Let us say that we have to hash $n$ elements to $m$ hash slots. Assuming the probability that 2 elements will map to a particular location will be $1/m^{2}$, for 3, it will be $1/m^{3}$ and so on for the $n$th element will be $1/m^{n}$, is the following expression for the expected length of the chain on that location c...
n/m
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Write a program to implement the following algorithm to maximize the functional J(y(x)) subject to {eq}\frac{dy}{dx} = 0.6y(x) {/eq} using the Golden-Section search. Here {eq}J(y(x)) =\int_0^1 0.5(y(x))^2 dx{/eq} for 0 ≤ x ≤ 1, y(0) = 0 and {eq}\frac{dy}{dx} = 0.6y(x){/eq}
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Suppose 1-year Treasury bonds yield 2.5% while 2-year T-bonds yield 3.7%. The pure expectations theory is assumed to hold and the MRP for a 1-year T-bond is 0.4%. What is the yield on a 1-year T-bond expected to be one year from now? a. 3.64% b. 4.89% c. 5.13% d. 5.49% e. 5.76%
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Find the derivative of the function by using the Fundamental Theorem of Calculus. h(x) = \int^{5} -(-3+u^{7})^{5} du
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According to financial executives' views about dividend policy, the following statement is the most frequently cited one: I) We try to avoid reducing the dividend II) We try to maintain a smooth dividend stream III) We look at the current dividend level IV) We are reluctant to make a change that may have to be reve...
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A student analyzes a {eq}0.6144 \ g {/eq} sample of a {eq}Fe {/eq} - {eq}Na {/eq} alloy by means of a Volhard titration. After dissolving the alloy in water, the student adds {eq}50.00 \ mL {/eq} of {eq}0.1007 \ M \ AgNO_3 {/eq}. The student then filters the {eq}AgCl {/eq} and proceeds with the titration. The tit...
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Which of the following are advantages of the payback method of project analysis? a. Considers time value of money, liquidity bias b. Liquidity bias, arbitrary cutoff point c. Liquidity bias, ease of use d. Ease of use, arbitrary cutoff point e. Ignores time value of money, ease of use
c
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Which one of the following is the most restrictive lease classification in the Statement of Financial Accounting Standards? A. Operating Lease. B. Pooled Finance Lease. C. Finance Lease. D. Leveraged Lease.
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From the balance sheet of Zippy Corporation, the following information is available: Cash $16,000 Inventory $6,000 Net working capital $1,200 Total assets $54,000 Total equity $36,000 Zippy's return on sales is 4%. What is Zippy's profit margin?
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A particle is moving along a straight line according to the equation {eq}x=12-2t+3t^2 {/eq} where {eq}x {/eq} is in meters and {eq}t {/eq} is in seconds. The average velocity of the particle between {eq}t=2 {/eq} sec to {eq}t=5 {/eq} sec is (A){eq}-1\ \mathrm{m/s} {/eq} (B){eq}3\ \mathrm{m/s} {/eq} (C){eq}1\ ...
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Use the following information to calculate the required return for the General Electric stock. The risk free rate is 3.0%, the market risk premium is 6.0% and the beta is 0.82. State what you would expect to happen to the required return if the beta decreased to 0.65 and then explain how this would affect the price of ...
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The interval during which the fourth heart sound is produced by the rapid inflow of blood into the ventricle is known as the: a. Diastole. b. Pre-ejection period. c. Pre-auricular period. d. Isovolumetric contraction period.
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Consider the following information for Evenflow Power Co., Debt: 3,000 7.5% coupon bonds outstanding. $1,000 par value. 18 years to maturity, selling for 104% of par; the bonds make semiannual payments. Common stock: 75,000 shares outstanding, selling for $59 per share; the beta is 1.18. Preferred stock: 9,000 share...
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In order to combine the Hebrew tradition of hearing the word of God with the Greek belief in a living, rational universe, Philo used _____. a. Plato's Forms b. the teachings of Aristotle c. ideas from Christian philosophers d. the Neo-Platonists concept of dualism
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Once a company has established a positive image, its managers must respond to crises that can __________ the image. a. minimize b. sustain c. change d. reverse e. allow
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The payback period is: a. An example of a non-cash flow method of analysis. b. The time required for the cumulative net cash flows to equal the initial investment. c. The length of time it takes for an investment to generate sufficient cash flows to recoup its initial cost. d. All of the above. e. None of the abov...
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What is the required sample size to estimate the proportion with a margin of error of 0.05, with a 90% confidence interval, and a conservative estimate for p? a. 77 b. 154 c. 144 d. 62
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Each of the alternatives shown has a five-year useful life. If MARR is 10%, through benefit-cost ratio analysis, which alternative should be selected? Option XOption YOption Z Cost$600$500$200 Uniform Annual Benefit$158.3$138.7$58.3 A. Option X B. Option Y C. Option Z D. Do nothing
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Find the center of mass of the lamina bounded by {eq}f(x) = x^2 + 1{/eq} over (-1, 1).
(0, 7/10)
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The weights of the fish in a certain lake are normally distributed with a mean of 19 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 16.6 and 22.6 lb?
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Three long wires all lie in the xy plane, and the equilateral triangle formed by their centers is 1.0 m on a side. Wire 1, carrying 2.0 A, passes through (1.0, 0.0, 0.0) m. Wire 2, carrying 4.0 A, passes through (0.50, 0.866, 0.0) m. Wire 3, carrying 6.0 A, passes through (0.0, 0.0, 0.0) m. Find the direction (coun...
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Bray Company prepared the following contribution format income statement based on a sales volume of 1,000 units: Sales$13,500 Variable expenses 7,200 Contribution margin6,300 Fixed expenses 3,882 Net operating income$2,418 The margin of safety percentage is closest to: A) 24.3% B) 7.7% C) 42.3% D) 28.9%
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The management of the Ewing Machine Shop is considering the purchase of a new computer numerical control (CNC) machining and lathe. The cost of the CNC machine is $280,000; it will have a useful life of five years and will have no salvage value. The expected net cash flows from the project are as follows: Year 1: $135...
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A sample of 16 students received the following number of hours of sleep per night: 8, 7, 6, 5, 7, 9, 6, 8, 7, 8, 9, 7, 6, 5, 7, and 8. What is the (sample) variance for the number of hours of sleep for this group of students? a) 1.70 b) 1.87 c) 2.09 d) 2.25
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Let $v_1,v_2,v_3\in \mathbb{R}^2$ (view as column vectors), if we have $$\lambda_{\min}(v_iv_i^T+v_jv_j^T)\le 1,~\text{for all }i\not=j\in\{1,2,3\}.$$ Can we have an upper bound for $$\lambda_{\min}(v_1v_1^T+v_2v_2^T+v_3v_3^T)?$$
3
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Pear Company reports the following information for the current year. All beginning inventory amounts equaled $0 this year. Units produced this year 38,000 Direct materials per unit $7.00 Direct labor per unit $11.00 Variable manufacturing overhead per unit ...
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Fuzzy Button Clothing Company is currently paying preferred stockholders a dividend of $1.50 per share and common stockholders a dividend of $1.00 per share. Fuzzy Button expects to pay its preferred stockholders a dividend of $2.25 per share and its common stockholders a dividend of $2.50 per share next year. The cost...
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A company has a financing structure that includes bonds, preferred stock, and common stock. Its long-term debt has a total current market value of $15 million. Its 500,000 shares of preferred stock are currently priced at $20 per share, and its 10 million shares of common stock are priced at $2 per share. What is the c...
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As opposed to earnings-based valuation, cash flow-based valuation would assign a higher valuation to a firm with _____. a. slow and consistent growth, b. high earnings volatility, c. negative cash flows from operating activities, d. relatively low operating cash flows relative to net income.
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If the Fed targets the federal funds rate, and a decrease in the money supply leads to lower interest rates, we would expect A. the goal of the federal funds rate to be lower. B. the market for federal funds to become less liquid. C. interest rates to become more volatile. D. the central bank to make open market pu...
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Ngata Corp. issued 17-year bonds 2 years ago at a coupon rate of 9.8 percent. The bonds make semiannual payments. If these bonds currently sell for 102 percent of par value, what is the YTM? a) 9.55% b) 10.50% c) 8.59% d) 4.77% e) 11.46%
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You want to buy a new car, but you don't have enough cash. The auto finance company you deal with charges 1.2% monthly interest on all loans. If you start off with $4,000 in credit and make monthly payments of $200, how long will it take to fully pay off the loan?
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What is the amount of cash flows from investing activities, if net income is $500,000, depreciation expense is $100,000, and the net change in working capital is a decrease of $50,000?
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Use the concept of opportunity cost to explain the following situation: Consider a land owner who owns 100 acres of land, 60 of which are currently under cultivation. The opportunity cost of taking one more acre from the cultivation and using it for residential purposes is a. zero because the owner does not need any ...
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Let's consider the following two-way ANOVA with replication: What is the calculated F value for the block effect? a) 10.35 b) 2.98 c) 12.57 d) 3.47
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Chiefland Campers is evaluating a project that will not affect revenues, but it will save the firm $100,000 per year in before-tax operating costs, excluding depreciation. The project's depreciable basis is $850,000, and it will be depreciated on a straight-line basis to a book value of zero ($0) over its 10-year life....
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You are considering a project with conventional cash flows, an IRR of 11.63%, a PI of 1.04, an NPV of $987, and a payback period of 2.98 years. Which one of the following statements is correct given this information a. The discounted payback period must be greater than 2.98 years. b. The break-even discount rate mus...
c
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Dezider Company has a beginning Work in Process inventory of $155,000. During the month, materials requisitioned from the materials storeroom cost $351,000. Direct labor costs were $251,000 and factory overhead was $49,000. Ending work in process inventory was $150,000. Determine the cost of goods manufactured.
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At December 31, 2012, the following amounts were reported before adjusting entries (Column I) and after adjusting entries (Column II). I II Unadjusted Adjusted Prepaid Rent$30,000 $26,000 Unearned Revenue 25,000 20,000 Wages Payable 42,000 46,000 Accounts Receivable 29,000 28,000 What effect did the adjusting entrie...
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Given a population standard deviation of {eq}\sigma{/eq} = 6, how large a sample is necessary to have 98% confidence that the sample mean will not differ from the true mean by more than 2?
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What is the interest rate on the debt used by Green Grass Lodge in computing its WACC? The cost of equity capital for the company is 14.6%, the market value of the equity is $250 million, the market value of the debt is $65 million, and the marginal tax rate is 35%.
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If y=xe^-x, find dx/dy.
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You are holding a portfolio with the following investments and betas: Stock Dollar investment Beta A $250,000 1.3 B 200,000 1.6 C 400,000 0.65 D 150,000 -0.25 Total investment 1,000,000 The market's required return is 9% and the risk-free rate is 4%. What is the portfolio's required return?
8.34%
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At the beginning of the current period, the Flexible Budget for Variable OH was $10,000 at 2,500 units. Actual results for the period were $12,000 at 3,000 units. The budget variance for Variable OH is $2,000 U and the activity variance is $2,000 F. True or False.
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Choose the internal control procedure to the error, misstatement, or other problem that it is trying to detect or prevent. Required signature for authorization of payment. A. The separation of duties is meant to safeguard assets. B. Prevention of unauthorized use. C. Ensures payment for goods or services actually r...
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The following transactions occurred: (1) Purchased $65,000 of inventory on account under terms 3/15, n/45. (2) Returned $5,000 of inventory to the supplier before payment. (3) Paid the account payable within the discount period. Assuming a periodic inventory system, what is the amount recorded for the inventory pur...
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If $w = xy^2 + x^2 z + yz^3$, where $x = e^u,$ $y = v^2$, $z = uv^3$ find $\frac{\partial w}{\partial u}$ and $\frac{\partial w}{\partial v}$ at the point $(u, v) = (0, 1)$.
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ABC Inc. borrows money at 8%, sells bonds at 7%, and the purchasers of common stock require a 14% rate of return. If the company has borrowed $40 million, sold $60 million in bonds, and sold $100 million worth of common stocks, what is the Weighted Average Cost of Capital (WACC)?
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