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Compute {eq}\overline{A} \cdot (\hat{x} + \hat{z}){/eq} given {eq}\overline{A} = \hat{y}2 - \hat{z}3{/eq}.
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A sample of {eq}n=16{/eq} individuals is selected from a population with {eq}\mu=60{/eq}, and a treatment is administered to the sample. If the sample variance is {eq}s^2=20{/eq}, which set of sample characteristics is most likely to lead to a decision that there is a significant treatment effect? A. {eq}M=63\text{ fo...
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If an industry has no barriers to entry, no product promotion strategy, a standardized product type, and a very large number of firms operating within it, the industry can be said to have: (Select one) a) a monopoly market structure. b) perfect competition. c) differentiated market. d) monopolistic competition. e...
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What is the present value of a 2-year 100 payment when the appropriate discount rate is 5% and the compounding is: a) Annual. b) Semiannual c) Continuous?
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Fresh Juice Co Ltd derives $100,000 net trading income from Australian sources during the current tax year. The company also earns the following: $21,000 - Franked dividend from public companies with an imputation credit of $9,000. $20,000 - Un-franked dividend from resident private companies. $10,000 - Rental income....
$36,300
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A goods was purchased for 1125 and its selling price is 1500. what is its profit percentage?
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If a firm's EBIT is $450,000, its interest expense is $50,000, and its net income is $250,000, then its times interest earned ratio is: a. 3 times b. 4 times c. 9 times d. 10 times
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Maxtor Technology incurred the following costs during the year related to the creation of a new type of personal computer monitor: Salaries$240,000 Depreciation on R&D facilities and equipment135,000 Utilities and other direct costs incurred for the R&D facilities68,000 Patent filing and related legal costs24,000 Pay...
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A company's current assets represent 25 percent of its total assets and its quick assets represent 10 percent of its total assets. The company's current ratio is: a. equal to its quick ratio. b. equal to four times its quick ratio. c. equal to its inventory turnover ratio. d. greater than one.
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In a small rural Pennsylvania town, the aggregate labor supply curve is given by LS = -20 + 5w and the aggregate labor demand by LD = 180 - 5w, where w is the hourly wage rate. What is the unemployment rate in equilibrium?
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Using the fundamental theorem of calculus part 2, determine the derivative of the following function: {eq}\int^{x^2}_0 (e^{-t^2}+1)\ dt{/eq}
2x(e^{-x^4}+1)
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The market risk premium is 7.3%, and the risk-free rate of interest is 3.1%. The beta of Company Y's stock is 0.98. What is the required return of Company Y's stock?
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If a monopolist's marginal revenue is $5.60 and its marginal cost is $4.80, then: A. the monopolist can increase profit by increasing price. B. the monopolist can increase profit by decreasing price. C. the monopolist can increase profit by decreasing output. D. this outcome is already profit-maximizing.
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Given the following data for the stock of Black Water Corp. and the market, calculate the beta for Black Water. Black water Market Return 10% 12% Risk free rate 3% 3% A. 0.29 B. 0.70 C. 1.13 D. 1.63
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A sample of size n = 20 is drawn from a population that has a mean of 50 and a standard deviation of 10. Find the probability that the sample mean will be greater than 53.
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Which COX enzyme are piroxicam, ibuprofen, flurbiprofen, and mefenamic acid more selective for? a. COX-1 b. COX-2 c. They are equally selective for COX-1 and COX-2.
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Which of the following pair of independent variables would violate Assumption VI? (That is, which pairs of variables are perfect linear functions of each other. . a) right shoe size and left shoe size (of students in your class). b) consumption and disposable income (in the United States over the last 30 years) c) X...
c
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A new employee at a law firm has 300 pages to review before she will be ready to take over a regular job. The law firm provided her with a computer and installed a software program that allows her to review a random sample of pages from the stack and then randomly selects additional pages for her to review based on her...
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Pete, Inc. has an equity multiplier of 1.82, a total asset turnover of 2.10, and a profit margin of 6.1%. What is its ROE? a) 22.4% b) 15.2% c) 18.8% d) 16.1% e) 25.5%
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What is the probability that the sample mean will be greater than $50,000, given that the salaries at the Wyoming Semiconductor plant are normally distributed with a population mean of $52,600 and a sample size of 35, and the sample standard deviation is $4,500?
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Given the following information: r 0.06 T-bill 0.05 Stock X 0.15 Stock Y 0.26 Perfect correlation 1.00 Weak positive correlation 0.25 No correlation 0 Weak negative correlation -0.25 ...
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An oil company wants to move into the European market and must evaluate whether it should issue stocks or bonds to raise the needed capital. The company plans to use its capital to establish refineries in major European cities, purchase shipping vessels to bring crude oil to those markets, and acquire distribution faci...
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How large a sample must the doctor select if she desires to be 99% confident that the true population mean is at most 6 ounces away from the mean of the sample? Assume the standard deviation is 8 ounces.
12
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A major U.S. bank is testing a new process for serving customer transactions on the Internet. They would like to test if the new system is faster in processing transactions than the old one. In their simulation, the mean transaction time is 67 seconds for the old system and 62 seconds for the new system. They have reas...
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A machine dispenses a mean of 16 ounces of water into a glass, with standard deviation of 0.4 ounces. If 64 glasses are used in a day, what is the probability that the average amount of water dispensed into the glasses will be between 15.8 and 16.2 ounces?
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The constant growth model is: a. Constant growth is always desirable. b. Appropriate for evaluating growing firms. c. Appropriate for relatively stable firms that pay increasing regular dividends. d. Always the appropriate model for stock valuation.
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At an MP3 player with a 55-gigabyte disk, 4 gigabytes are already used. The function $A(t) = 55 - 4t$ describes the amount of available space on the disk in gigabytes after $t$ days. What is the y-intercept of the graph of this function?
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In the short run, the reduction in unemployment due to a reduction in the target inflation rate is a. less than the reduction in the actual inflation rate. b. more than the reduction in the actual inflation rate. c. equal to the reduction in the actual inflation rate. d. an increase in the actual inflation rate. e...
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Compute: $\int_{\lvert z \rvert = \frac{1}{2}} \frac{dz}{z \sin\left( \frac{1}{z} \right)}$. I have shown that $\int_{\lvert z \rvert = \frac{1}{2}} \frac{dz}{z \sin\left( \frac{1}{z} \right)} = 2\pi i \sum_{n \in \mathbb{Z} \setminus{\{ 0 \}}}\text{Res}_{\frac{1}{n \pi}} \left( {\frac{1}{z \sin\left( \frac{1}{z} \righ...
0
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Use partial fraction to integrate: ∫ 2x/(x-1)(x-2) dx
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Managers at Autonomous Inc. are considering the purchase of a new machine costing $344,000. This new machine will be depreciated over its estimated 5-year life using straight-line depreciation. Sales revenue is expected to be $250,000 per year, while costs are expected to be $182,000 per year. If the firm is in the 40...
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Company X has a beta of 1.4, while Company Ys beta is 0.9. The risk-free rate is 6 percent, and the required rate of return on an average stock is 11 percent. Now the expected rate of inflation built into rRF rises by 1 percentage point; the real risk-free rate remains constant; the required return on the market rises ...
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LIFO 25% Cash 280 Accumulated Depreciation 280 FIFO 25% Cash 320 Inventory 320 Assume that during the next accounting period, ending inventory was $2550 under LIFO and $2300 under FIFO. The company's gross profit margin was 48% for the current period. Refer to the following information: -Inventory has a boo...
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Which of the following should not be considered an opportunity cost of attending college? a. money spent on living expenses that are the same whether or not you attend college b. lost salary c. business lunches d. interest that could have been earned on your money had you put the money into a savings account instea...
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Use a computer algebra system to approximate the iterated integral. (Round your answer to two decimal places.) $$\int_0^\frac{\pi}{2} \int_0^\pi \int_0^{\sin\theta} (7\cos\phi)\rho^2 d\rho d\theta d\phi $$
3.11
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When manufacturing employment decreases and service sector employment increases, this is known as: a. the failure of the labour market. b. intersectoral shifts in employment. c. an increase in the natural rate of unemployment. d. a decrease in the natural rate of unemployment.
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Which of the following statements is correct? A) Prices of Treasury bonds and of preferred stocks tend to move in opposite directions, whereas the prices of corporate bonds and preferred stocks tend to move together. B) Unlike bonds, the demand for stocks is not based on the ability of the issuer to make payments. C...
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Suppose that the actual cost of an asset is $250,000, it has a 5-year useful life and the asset does not have any expected salvage value. The straight-line depreciation amount for year 3 would be: A. $50,000 B. $37,500 C. $31,250 D. $25,000
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Jumbo Debtors Corporation has net working capital of $37,700, net fixed assets of $187,600, sales of $589,300, and current liabilities of $39,200. How many dollars worth of sales are generated from every $1 in total assets?
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At the time of issuance of bonds, the effective interest method is used to allocate the interest expense over the life of the bonds. The effective interest method a. is required by GAAP. b. gives a fixed rate of interest expense. c. produces the same interest expense and interest income as the straight-line method i...
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Wolfram Mathematica says that the closed form of the integral is $$ -\exp \left(-\cos \left(2 \tan ^{-1}\left(1-\sqrt{2}\right)\right)-\cos \left(2 \tan ^{-1}\left(\sqrt{2}+1\right)\right)\right) \left(2 \sinh \left(\frac{1}{\sqrt{2}}\right) \exp \left(\cos \left(2 \tan ^{-1}\left(1-\sqrt{2}\right)\right)+\cos \left(2 ...
-4sinh(1/\sqrt{2})
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Let $z$ be a complex number, $|z| = 1$, and $n$ an integer. What is the value of $$ \frac{z}{1-z^{n+1}} - \frac{\bar{z}}{1-\bar{z}^{n+1}} ? $$
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Which of the following is NOT true about profit maximization for a firm? A. Profit maximization occurs where marginal revenue equals marginal cost. B. Profit maximization occurs where the profit per unit of the last unit produced is close to and just equal to zero. C. Profit maximization occurs where the marginal re...
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You are an expert problem setter. First, in your private scratchpad, carefully design a brand-new, non-trivial reasoning problem. The subject may be drawn from any high-school or university discipline (mathematics, science, history, literature, social studies, etc.). The problem must be challenging enough that fewer ...
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If a consumer is making rational choices and the price of A increases, then the consumer's: a) Budget constraint shifts in toward the origin and the consumer buys more of good B. b) Budget constraint shifts out away from the origin and the consumer buys more of good B. c) Budget constraint shifts in toward the origi...
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The Torrid Tan Company has the following income statement: Sales $300,000 Variable expenses $180,000 Contribution margin $120,000 Fixed expenses 90,000 Net operating income $30,000 What is the company's contribution margin ratio? a. 25% b. 120% c. 40% d. 75%
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The mean height of women in a country (age group: 20 - 29) is 64.5 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume {eq}\sigma {/eq} = 2.66.
0.0516
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What is the present value of a $1000 payment over the next five years, if interest rates are 7%? Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. Use the following table to find the present value: Year 1% 2% 3% 4% 5% 6% 7% 8% ...
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Consider a t distribution with 15 degrees of freedom. Find the value of c such that P(t>c)=0.10. Round your answer to at least three decimal places.
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A company's output for the third quarter of the current fiscal year consists of 12,700 units of product A and 16,200 units of product B. The company's plant capacity is 55,000 hours, of which 18,000 hours are available during the current fiscal year. The contribution margin unit values are $10 for product A and $7.50 f...
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If the Fed buys $500,000 of bonds when the required reserve ratio is 10% and banks hold no excess reserves, then the total increase in the money supply will be? A. $5,000,000 B. $50,000 C. $500,000 D. $4,500,000 E. $450,000
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If an insurance company cuts its rates for customers who buy noncancelable policies rather than regular policies, the company would likely _____ its marketing expenses. a) leave unchanged b) increase c) reduce d) have an ambiguous effect on
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Let $(X, \tau)$ be a topological space. Let $A\subset X$. Given the definition of the closure of $A$ as the set of points in $X$ such that $\forall$ $U$(open) containing $x$, $U \cap A$ is non-empty, which of the following are logically equivalent? (A) $\forall U$ ($ U \in \tau$ and $ x\in U \implies U \cap A $ is not...
A
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\(\displaystyle \lim_{x \to \infty} \dfrac{ \cos (\pi x) + 1}{ x} \) is equal to?
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Which of the following statements is CORRECT? a. If you have a series of cash flows, each of which is positive, you can solve for I, where the solution value of I causes the PV of the cash flows to equal the cash flow at Time 0. b. If you have a series of cash flows, and CF0 is negative but each of the following CFs ...
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The demand function for a certain brand of CD is given by p=-0.01x^2-0.4x+9 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $15.
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The value of a perpetual bond is the ratio of: a. The present value to the periodic coupon payment b. The periodic interest payment to the face value of the bond c. The face value of the bond to the periodic coupon payment d. The periodic coupon payment to the present value of the bond
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A change in all of the following except _____ will result in a movement along the AD curve. a) taxes b) real wealth c) exchange rates d) consumer confidence
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Which is least likely to be a reason for the confused state of the leadership literature? A) a proliferation of confusing terms and diverse definitions B) the use of complex theories to explain leader influence C) the reliance on weak methods for much of the research D) the narrow focus of most empirical studies on...
B
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Suppose a U.S. Treasury bond promises to pay $1,000 five years from now. The current interest rate is 8% per year. What is the present value of this payment?
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You purchase two goods X and Y. X is a normal good and Y is an inferior good. Which of the following will cause you to buy more of good X and less of good Y? a. A decrease in income b. A decrease in the price of good Y c. An increase in the price of good X d. All of the above will cause you to buy more of good X an...
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Use the Limit definition of derivative to find {eq}\frac{d}{dx}(tan\ x)
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The short-run aggregate supply curve is upward sloping because: A. as the price level increases, the Fed increases the money supply. B. if the price level increases, the value of workers' wages will decline. C. if the price level increases, real output will rise as firms produce more output. D. for a given level of...
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Titan Football Manufacturing had the following operating results for 2010: Sales = $16,360; cost of goods sold = $10,890; depreciation expense = $1,240; interest expense = $190; dividends paid = $490. At the beginning of the year, net fixed assets were $18,600, current assets were $3,150, and current liabilities were $...
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Find the derivative: {eq}\displaystyle \frac{d}{dx} \int_{1}^{x^3} \sqrt{4-t^2}dt{/eq}
3x^2\sqrt{4-x^6}
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Is there a quick way of solving this system: $p(1-p) = (1-q)qr$ $p(1-p) = (1-r)qp$ $q(1-q) = (1-p)pr$ $r(1-r) = (1-q)qp$
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What is the expected number of golf balls that will be lost during a 36-hole round if the average golfer uses 16 golf balls, the standard deviation is 3, and we assume a normal distribution?
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You bought a share of 10% coupon bond one year ago for $900 when the market interest rate was 11%. Today, the market interest rate is 7.5% and the bond has a 5-year maturity. How much of the total return on the bond was due to the change in market price? a) $5.50 b) $1.60 c) $130 d) $20
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An office in a large metropolitan area is located at the intersection of two busy streets and, during rush hour, experiences 2 accidents per week. Find the probability that there will be 3 or fewer accidents in a week. Assume that a Poisson process is applicable.
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What is the matrix that will reflect over the line {eq}y=x{/eq}? Call this matrix {eq}R.{/eq} The matrix for reflecting over the {eq}x{/eq}-axis is {eq}S. {/eq} What is {eq}RS?{/eq} Describe what happens when you reflect a vector over the line {eq}y=x{/eq} and then reflect the result over the {eq}x{/eq}-axis.
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The free cash flow model, as compared to other models, tends to be most helpful when valuing a share of stock in: A. a firm that pays dividends that increase at a constant rate of growth. B. various firms having similar growth opportunities. C. a non-dividend-paying firm that has external financing needs. D. a firm...
C
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The type of accounting that focuses on providing information for external decision makers is _____ accounting. A. cost B. financial C. managerial D. governmental
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Which of the following statements is true about a normal random variable X? a) The total area under the normal curve above its mean is 1. b) The total area under the normal curve below its mode is 1. c) The total area under the normal curve is equal to its variance. d) The total area under the normal curve is equal...
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Based on the reading on job analysis, choose the statement below that is not true: A) Job analysis results in a job description and job specification. B) Job analysis results in a Job Factor Analysis. C) Job analysis provides the basis for developing a job profile. D) Job analysis results in a job grading. E) Job ...
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Suppose a computer virus cripples the economy's information-processing capacity. The most likely outcome is that: a) the LRAS curve shifts to the right. b) the LRAS curve shifts to the left. c) the SRAS curve shifts to the right. d) the SRAS curve shifts to the left. e) the AD curve shifts to the right.
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Which of the following taxes is based on the principle of ability to pay? A. A tax on the value of the land in an individual's estate B. A sales tax C. A single tax D. A corporation's income tax
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What is the required sample size to estimate the proportion of city council members in large cities who live in the inner city, given a margin of error of .10, a 90% confidence level, and an estimated population proportion of .714?
56
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The main components of developmental policy in Singapore. Eliminate the incorrect answer. a. The highest electronics export per capita in the world. b. State firms produce 60% of the GPD. c. Very high wages for efficient managers. d. Forced saving and high quality of bureaucracy.
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The following data is available for Blaine Corporation at December 31, 2016. Common stock, par $10 (authorized 25,000 shares) = $200,000 Treasury stock (at cost $15 per share) = $500 Based on the data, how many shares of common stock are outstanding? a. 25,000 b. 20,000 c. 24,940 d. 19,940
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Firm A and Firm B both have assets that equal $100,000 and liabilities that equal $25,000. Firm A's shareholders' equity has a market value of $75,000 and an accounting value of $75,000. Firm B's shareholders' equity has a market value of $125,000 and an accounting value of $75,000. Which of the following statements...
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The elasticity of demand will be higher (in absolute value) when the: (a) price is a large proportion of your total income. (b) goods has many substitutes. (c) goods is a luxury. (d) goods is a necessity. (e) demand is downward sloping.
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The AE curve: a. indicates that (the quantity of) output rises as the real interest rate falls b. is derived from the long run AD-AS graph c. is drawn for a given discount rate and level of output d. is derived from the short run AEPC graph
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The adjustment for bad debts using the percentage of receivables ignored the debit balance in the Allowance account. This error would cause: a. total assets to be overstated. b. total liabilities to be understated. c. net income to be understated.
a
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Which of the following is a capital budgeting method, that ignores the time value of money? a. payback b. internal rate of return c. return on assets d. net present value
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Delphi Corporation declares a cash dividend to its common stockholders of $10,000. Which of the following is the correct journal entry? a. Credit Cash $10,000; debit Common Stock $10,000. b. Credit Retained Earnings $10,000; debit Cash $10,000. c. Credit Dividends Payable $10,000; debit Cash $10,000. d. Credit ...
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Given a 14 percent interest rate, compute the year 9 future value if deposits of $1,150 and $1,350 are made in years 3 and 5, respectively, and a withdrawal of $900 is made in year 8. a. $6,274.99 b. $2,746.77 c. $4,784.59 d. $3,094.33
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When a firm's marginal cost is less than its average variable cost, the average variable cost is: a. rising b. constant c. falling d. first falling then rising e. first rising then falling
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What is the radius of convergence of the power series $$\sum_{k=0}^\infty (k^{k}-2^k)z^{k}?$$
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What is the probability that a random sample of 20 pregnancies has a mean gestation period of less than 270 days, given that the length of human pregnancies is approximately normally distributed with mean {eq}\mu = 266{/eq} days and standard deviation {eq}\sigma = 16{/eq} days?
0.8686
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p is in dollars and x is the number of units. Suppose that the supply function for a good is p = 4x^2 + 5x + 6. If the equilibrium price is $58 per unit, what is the producer's surplus there? Round to two decimal places.
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Which of the following statements is not true? a. The FIFO inventory method will result in a higher net income in comparison with the LIFO method when costs are increasing. b. During periods of increasing unit costs, the LIFO inventory method results in lower income taxes. c. Cost of goods available for sale minus e...
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If today's 1-year, zero-coupon bond has a yield to maturity of 3.5% and today's 2-year, zero-coupon bond has a yield to maturity of 3.25%, what is the 1-year forward rate?
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A company's articles of incorporation authorize the issuance of 200,000 shares of common stock and 10,000 shares of $100 par value preferred stock. On January 1, the company had 75,000 shares of common stock issued and outstanding (including 10,000 treasury shares). During January, the company issued 15,000 additional ...
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Assume that at the current level of output the price elasticity of demand for a firm's product is equal to -0.2 and the Rothschild index is equal to 0.3. What is the price elasticity of market demand? A. -0.6 B. -0.1 C. -1.5 D. -2
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Why do two solutions to a problem regarding the probability of forming an obtuse-angled quadrilateral yield different answers (approximately $39$% and $50$%), and why is the latter solution more intuitive?
50%
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_____ is the value of the outcome to the individual, minus the cost of the outcome. a. Total utility b. Marginal utility c. Satisficing d. Rational decision making
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Suppose there are three sellers and the market price is $10. If seller C is able to sell 10 units at $10, seller B is able to sell 30 units at $9, and seller A is able to sell 20 units at $8. The total producer surplus in this market is? A. $370 B. $410 C. $610 D. $230 E. None of the above
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If the work done in moving a charge \(q\) along the X-axis from \(x = a\) to \(x = 2a\) is \(W\), then the electric field at \(x = a\) is?
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Regulatory forbearance: A) meant delaying the closing of "zombie S&Ls" as their losses mounted during the 1980s. B) had the advantage of benefiting healthy S&Ls at the expense of "zombie S&Ls", as insolvent institutions lost deposits to health institutions. C) had the advantage of permitting many insolvent S&Ls the ...
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The position vector of a particle is {eq}\displaystyle r (t) = \langle t^2,\ 5 t,\ t^2 - 16 \rangle {/eq}. When is the speed minimum?
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