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What is the maximal ideal of {eq}\mathbb R[\frac 12 ]= \{\sum _{i=1}^n a_i 2^{-i} \mid n \in \mathbb N \ and \ a_i \in \mathbb R\} with multiplication given by $$\Bigg(\sum _{i=1}^n a_i 2^{-i}\Bigg)\Bigg(\sum _{i=1}^m b_i 2^{-i}\Bigg)=\sum _{i=1}^{n+m} c_i 2^{-i}?$$ Here, $$c_i=\sum _{j=1}^i a_j b_{i-j}.$$
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Find the distance between the two lines x=2+t , y=1+6t, z=2t and x=1+2s , y=6+14s, z=-1+5s.
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Which one of the following is a true statement? a. Unrealized losses on available-for-sale securities are generally not reported as a separate line item on the income statement. b. Gains on the sale of securities held to maturity are recorded as an adjustment to net income. c. Unrealized losses on trading securities...
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Use the method of Lagrange multipliers. Maximize the function f(x, y, z) = x^2+y^2+z^2 subject to the constraints x+y+z=12 and x-y+z=2.
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Shouldn't 0+0+0+... = 0.$\infty$ and therefore indeterminate? How is 0+0+0+... different from 0.$\infty$? How appropriate is it to use the limit of a function at a point instead of the function value at that point when the function need not be smooth or continuous?
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Lily Inc. has determined that additional equity financing will be needed to expand operations and that the needed funds will be best obtained through a rights offering. It has correctly determined that, as a result of the rights offering, the share price will fall from $22 to $17.60 ($22 is the "rights-on" price; $17.6...
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Use the Fundamental Theorem of Line Integrals to calculate the work done by the field {eq}F{/eq} on a particle moving along the given path. {eq}F =<y,\ x>{/eq} where {eq}x=y^2{/eq} for {eq}0 \le x \le 1;{/eq} particle moves along the curve from {eq}(0,0){/eq} to {eq}(1,1){/eq}.
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During the hyperinflation in Germany in the early 1920s, what happened to the amount of excess reserves that German banks held, relative to the amount of excess reserves that they held prior to the hyperinflation? A) The amount of excess reserves held by the banks fell. B) The amount of excess reserves held by the ba...
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ABC Corp has provided the following information for 2012. Net income $1,000,000 Cash flow from operations $900,000 Changes in working capital -$100,000 Average number of shares outstanding 1,000,000 Sales $5,000,000 Tax rate 30% The company has no debt and it pays a 10% interest rate on its notes payable. Management ...
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Consider the following payoff matrix for two firms, A and B. Firm A must decide whether to produce a low quantity or a high quantity. That is Firm A's choice is whether to adopt a strategy of Cournot competition or Bertrand competition (or neither). Each firm has two possible strategies. Firm B can produce a low quanti...
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Find the triple integrals of the function {eq}f(x, y, z) = x^2 + 5y^2 - z{/eq} over the region W, where W is the rectangular box {eq}0 \leq x \leq 2{/eq}, {eq}-1 \leq y \leq 1{/eq} , {eq}2 \leq z \leq 3{/eq}.
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I am struggling with determining which inequality to use for the third part of the problem. I need to show that $|z-w|^2-|1- \bar{w}z|^2=2 Re(z\bar{w})$ and then determine which inequality to use to show that $2 Re(z\bar{w}) \leq 2|z||w|$.
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Suppose that a manufacturer can produce {eq}x{/eq} items at a cost of {eq}c(x)=800+\dfrac{2x}{5}{/eq} dollars, and that he can sell {eq}x{/eq} items at a price of {eq}p(x)=5-\dfrac{x}{100}{/eq} dollars per item. Use {eq}\Delta P{/eq} to estimate the change in profit if production is increased from 80 items to 90 items.
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The critical success factors in a Competitive Profile Matrix and EFE Matrix include A) internal but not external issues. B) external but not internal issues. C) both internal and external issues. D) neither internal nor external issues. E) only non-quantifiable data.
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Beginning cash balance: $13,000 Cash receipts from sales: June: $58,000 Cash disbursements: June: $66,000 Retain earnings: $8,000 June: $78,000 Cash budget: June: $67,000 Cash receipts from sales: June: $53,000 Cash disbursements: June: $39,000 Retain earnings: $6,000 June: $44,000 Cash budget: June: B...
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Lum Winters, Inc., paid a dividend yesterday of $1.32 per share. Analysts expect the company's dividend to grow by 25% this year and 20% next year, after which time the dividend is expected to grow at a constant rate, X, forever. The company has a beta of 0.80, the market risk premium, (Rm - Rf), is 7%, and the risk-fr...
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Use Green's Theorem to evaluate the line integral along the given positively oriented curve: {eq}\int_{C} \cos y \, \mathrm{d}x + x^2 \sin y \, \mathrm{d}y, \; C{/eq} is the rectangle with vertices {eq}(0, 0), (3, 0), (3, 1), (0, 1){/eq}
12(1-cos1)
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I have trouble finding the minimum of $\|x\|^2 + \|x+y\|^2$ subject to $\langle x,y\rangle = 0$ and $\|y\|^2 = 1$. I have to use properties like $(x+y,z) = (x,z) + (y,z)$ and $(\alpha x , y) = \alpha (x, y)$. I have to find an $x$ that minimizes the function, it's fine to use that $x = \alpha y$ because we know $\langl...
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What sample size is needed if you wish to be 99% confident that your estimate is within 0.05 of the true proportion, given a preliminary estimate for the population proportion is 0.18? (Round up to the nearest whole number.)
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Which of the following is considered a period cost? a. direct materials b. direct labor c. manufacturing overhead d. research and development e. selling and administrative expenses
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What is the market value of the equity for Firm X with the following capital structure: Book Value: 25% Debt (Bonds), 75% Equity; Market Value: 55% Debt (Bonds), 45% Equity; Bond coupon rate = 9%, Years to maturity = 12, Yield-to-maturity = 11.11%, Face Value = $1,000; Number of shares of stock = 100 million; Price per...
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A company purchased a computer on July 1, 2017, for $50,000. The estimated useful life of the computer was five years, and it has no residual value. Which of the following methods should be used to best match its expense against the revenue it produces? a. The units-of-production method. b. The straight-line method. c....
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Mr. A is considering investing $250,000 in a business. The cost of capital for the investment is 13%. Following cash flows are expected from the investment: Year $ 0 (250,000) 1 50,000 2 100,000 3 200,000 Calculate the IRR for the proposed investment. a) 13% b) 15.1% c) 19.2% d) 20%
B
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I think I have this problem licked, but I'm not confident enough to be sure. I am to solve this system of equations: 3x - 2y = 4 2x + 3y = -9 For x and y. Here's what I did: I multiplied equation one by 3, to get: 9x - 6y = 12 I multiplied equation two by 2, to get: 4x + 6y = -18 I added those two results tog...
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Which of the following statements is true about the 2013 statement of cash flows? a. Net cash provided by operating activities decreased during the period. b. Net cash provided by investing activities decreased during the period. c. Net cash provided by financing activities decreased during the period. d. The chang...
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Suppose the own-price elasticity of market demand for retail gasoline is -0.6, the Rothschild index is 0.4, and a typical gasoline retailer enjoys sales of $1,800,000 annually. What is the price elasticity of demand for a representative gasoline retailer's product? Round your answer to 2 decimal places.
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You have a $100,000 portfolio which is invested in stocks A and B, as well as a risk-free asset. $50,000 is invested in stock A. Stock A has a beta of 1.76 and stock B has a beta of .89. How much needs to be invested in stock B if you want a portfolio beta of .90? a. $12,500 b. $16,941 c. $20,000 d. $45,000
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The president of Smith Brothers, Inc. wants a dividend policy that minimizes the likelihood of decreasing the company's dividend per share. Which of the following policies should the CEO select? a. regular dividend plus a year-end extra b. constant dividend payout ratio c. stable dollar dividend per share d. All po...
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Which of the following is not a feature of perfect competition? a. Large number of sellers and buyers b. No one is large enough to influence the market price c. Homogeneous products d. A horizontal demand curve
D
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You have a $50,000 balance outstanding on your credit card which charges 1.49% interest per month. You can make $3,000 payments at the beginning of each month. How long will it take to pay off the credit card balance?
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What comparison must be made to determine the cause of behavior change in learning experiments? a. a comparison between data from observational and experimental studies b. a comparison between behavior before and behavior after learning takes place c. a comparison between behavior of subjects who have received a tra...
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The purchasing agent of the Clay Company ordered materials of lower quality in an effort to economize on price in response to demands of the production manager due to a mistake in production scheduling. The materials were shipped by airfreight at a rate higher than ordinarily charged for shipment by truck, resulting in...
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Find {eq}F'(x) when F(x) = f(3f(4f(x))) {/eq} given that {eq}f(0) = 0 \enspace and \enspace f'(0) = 1 {/eq}.
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Marginal Analysis at StarPlast Inc. uses plastic to manufacture plastic moldings for car seats. Its costing structure is based on standard costs for direct material and direct labor. The standard costs for one unit of plastic molding follow: Direct Material0.10 lbs. at $300 per lb.$30 Direct Labor0.05 hours at $150 p...
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How long (to the nearest year) will it take to accumulate \$100,000 through monthly payments of \$200, if you can earn interest at an annual rate of 4\% compounded monthly?
25 years
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Merritt Manufacturing needs to accumulate $15 million to retire a bond issue that matures in 12 years. The firm's manufacturing division can contribute $100,000 per quarter to an account that will pay 2% quarterly. How much will the remaining divisions have to contribute every month to a second account that pays 0.5% p...
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What is the after-tax cost of debt for a firm with a debt of $10,000 and tax rate of 25%?
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You purchased an office building two years ago for $1,000,000 and sold it recently for $1,500,000. What was your return on investment? a. 50% b. 25% c. -50% d. -25%
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Which of the following is not a financial statement prepared for the firm? A) Income statement. B) Statement of cash flows. C) Balance sheet. D) Equity statement.
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The equilibrium level of income and employment is determined by: a. the aggregate demand curve. b. the aggregate supply curve. c. the general price level in the economy. d. All of the above.
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Faceblock, Gargle+, and SnapHat are rival firms in an oligopoly industry. If kinked-demand theory applies to these three firms, Faceblock's demand curve will be: a. More elastic above the current price than below it. b. Less elastic above the current price than below it. c. Of equal elasticity both above and below t...
a
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Allen Products, Inc., has a P/E ratio of 18.4. If the benchmark PE ratio is 14.2, what is the target stock price in one year?
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Consider a firm that hires labor under purely competitive conditions. The marginal revenue product (MRP) is the: a. incremental product associated with an additional unit of labor. b. marginal physical product of labor times the marginal revenue. c. incremental profit associated with an additional unit of labor. d....
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Sonar Systems Inc. has been in business for only two years. Its first year's income statement showed operating profit of $140,000 on sales of $1,800,000 and with average inventory of $400,000. Its second year's income statement showed operating profit of $245,000 on sales of $2,100,000 and with average inventory of $31...
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A corporation has provided the following data: Selling price per unit $80.00 Variable cost per unit $24.00 Fixed cost per unit $28.00 If the company's unit sales volume increases by 6%, and there is no change in total fixed cost and variable cost per unit, the net operating income should increase by 6%. a. True. ...
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One defect of the IRR method versus the NPV is that the IRR does not take account of differences in the sizes of projects. - True - False
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Let $$A=\dfrac{2\sqrt{3}}{3}i\cdot\cos{\left(\dfrac{\pi}{6}+\dfrac{i}{3}\text{arcsinh}{(\dfrac{3\sqrt{3}}{2})}\right)}$$ $$B=\dfrac{2\sqrt{3}}{3}i\cdot\cos{\left(\dfrac{5\pi}{6}+\dfrac{i}{3}\text{arcsinh}{(\dfrac{3\sqrt{3}}{2})}\right)}$$ $$C=\dfrac{2\sqrt{3}}{3}i\cdot\cos{\left(\dfrac{3\pi}{2}+\dfrac{i}{3}\text{arcsin...
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How do Sectoral Shifts in the economy affect Unemployment? a. They create Structural Unemployment. b. They reduce Unemployment. c. They increase Unemployment due to job search. d. Overall, they leave Unemployment unchanged.
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How large a sample will she need to be 90% confident that her sample mean will be within 15 seconds of the true mean? Assume that it is known from previous studies that σ = 40 seconds.
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Let $F=\mathbb{Z}_2(u)$ where $u$ is a root of $x^4+x+1$. Find the degree $[F:\mathbb{Z}_2]$. My approach is to find minimal polynomials of $u, u^2, u^4$. We have $u\in F$ and the minimal polynomial is $x$. $u^2\in F$ and the minimal polynomial is $x^2+x+1$. $u^4 = u+1$ so $u^4\in F$ and the minimal polynomial is $x^2+...
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An increase in the price of oil used to produce plastic will cause: A. an increase in equilibrium price and a decrease in equilibrium quantity. B. a decrease in equilibrium price and an increase in equilibrium quantity. C. an increase in equilibrium price and an indeterminate change in equilibrium quantity. D. a de...
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_____ refers to an awareness of the forces demanding strategic renewal and change and the options available to the organization in response to those forces. a. Knowledge component b. Skill development c. Management development d. Behavioral development e. none of the above
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I have $$f(x)=(x-4)^9$$ And I need to find the 10th order taylor polynomial about $x=4$. I tried solving it: All but the last term is equal to $0$ since for example $$f''(a)\frac{(x-a)^2}{2!}= (4-4)\frac{x-4}2=0$$ So I'm left with the last term of $$36288\frac{(x-a)^9}{10!}=\frac{(x-4)^9}{10}$$ But this is the wrong an...
$(x-4)^9$
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Melo Inc. uses a periodic inventory system and the average cost retail method to estimate ending inventory and cost of goods sold. The following data is available from the company records for the month of September 2018: Beginning inventory (at retail) $140,000 Net purchases (at cost) 111,000 Net purchases (at retai...
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A firm has a business-level strategy that emphasizes differentiation and relies on increasing customer-perceived value and reducing customer acquisition costs. The most likely allocation bases for the firm would be: a. Indirect costs based on employees' compensation and costs of new customers based on number of custom...
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In which of the following categories would the cost of design verification most likely be classified? A) Environmental cost driver B) Resource consumption cost driver C) Productivity cost driver D) Transaction cost driver
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In the short run, the equilibrium price for a typical firm in a competitive industry is such that each firm is earning a negative economic profit. Suppose the price remains constant over time. Which of the following statements is correct concerning the long run? a. In the long run, it is possible, but not guaranteed, ...
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Indicate the correct answer: According to IAS 2, we should measure inventories at: a. lower of cost and net realizable value b. lower of cost and market c. fair value d. gross price
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Given two matrices $A,B\in \mathbb M_n(\mathbb R)$ and $AB=-I_n$, prove that: $$det(I_n+BA)=2^n$$
$2^n$
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Which of the following is the correct definition of a profit-maximizing (loss-minimizing) activity level for a firm in a competitive market? a. the level of activity at which marginal benefit equals marginal cost b. the level of activity at which marginal revenue equals marginal cost c. the level of activity at whic...
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Suppose the Fed buys $100,000 in U.S. government securities from a commercial bank. If this deposit is entirely "new" money (i.e., not previously in circulation), the money supply could increase by: A. less than $100,000. B. more than $100,000. C. between $100,000 and $250,000. D. between $250,000 and $1 million. ...
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Explain why a risk-loving person will take a bet even when the expected payoff is negative.
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You are a manager at a firm and you believe your monthly costs have increased. The costs have always been $9,000 but you now believe they are more and would like to test this claim. If you run a hypothesis test, which of the following statements would fit your problem? A. You have an upper-tail test B. Your alternati...
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An individual has two investment choices: low risk and high risk. She invests in the low-risk alternative with probability p. This alternative earns a guaranteed 4%. If she chooses the high-risk alternative, she has a 0.5 probability of earning 18%, and a 0.5 probability of earning 0%. Her ex ante expected utility from...
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An ideal Rankine cycle has a working fluid mass flow rate of 10kg/s. The enthalpy of the steam as it leaves the boiler is 3473 kJ/kg, as it leaves the turbine is 1400 kJ/kg, as it leaves the condenser is 191 kJ/kg. The pump uses 10 KJ/kg to pressurize the condensate. Determine the net power output of this ideal Rankine...
20,630 kW
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Average total cost equals: A) average fixed cost plus average variable cost. B) total cost divided by average variable cost. C) (total cost times fixed cost) divided by variable cost. D) total cost divided by quantity.
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A firm uses a matrix organizational structure, and the marketing manager is located in the division dealing with European operations. The manager is most likely reporting to a: A) functional manager B) division manager C) regional manager D) product manager E) corporate manager
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We recently paid $3,600,000 for a 25% equity interest in Safford Oil Company. One year later, we received $195,000 from Safford Oil in the form of dividends. The implied annual return on this investment was closest to: A. 4.8% B. 5.1% C. 5.5% D. 5.9%
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I'm supposed to evaluate the line integral {eq}\displaystyle \int_{c} xy \, ds where {eq}\displaystyle c is the straight path from {eq}\displaystyle (-1,3) to {eq}\displaystyle (2,7) where {eq}\displaystyle ds is the arc length element. I parameterized the curve as {eq}\displaystyle r(t) = \left \langle t +1, \frac{4}{...
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A young investment manager tells his client that the probability of making a positive return with his suggested portfolio is 77%. The portfolio's expected return is 10%, and the standard deviation of the portfolio's return is 23%. What is the portfolio's actual variance of return according to the manager?
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One year ago, Marshall Laminating Company deposited $16,500 in an investment account for the purpose of buying new equipment three years from today. Today, it is adding another $12,000 to this account. The company plans on making a final deposit of $20,000 to the account one year from today. How much will be available ...
c
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BSU Corp. buys on 3/10, net 45 days. What is the nominal annual cost of not taking the trade discount? Assume a 360-day year. a. 18% b. 39.4% c. 36% d. 41.2%
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The real risk-free rate, r*, is 2.8 percent. Inflation is expected to be 2.2 percent this year and 4.3 percent next year. The maturity risk premium is estimated to be equal to 0.1(t - 1)%, where t equals the maturity of a bond in years. All treasuries are assumed to have no liquidity or default risk. Calculate the yiel...
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If the equity multiplier is 2 and the net profit margin is 6%, then the ROE is: a. 12% b. 3% c. 18% d. 120%
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Chevron is considering the use of natural gas futures to hedge its costs of power production. Which of the following methods is Chevron most likely to use to deem this hedge highly effective? a)The shortcut method b)The dollar offset method c)The variance reduction method d)The regression method
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Assuming a beginning inventory of 40 units and using a periodic inventory system, what is the dollar value of the ending inventory on a LIFO basis? Date Explanation Units Unit Cost Total Cost 1 Balance 40 $1.20 $48 5 Purchase 80 1.10...
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Income distribution effects of trade refer to: a. the fact that some factors gain more than other with trade. b. the fact that some factors gain and others lose with trade. c. the fact that some countries gain more than other with trade. d. the fact that some countries gain and others lose with trade.
b
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Assume $|a|<1$. I know that $\sum a^{2^n}$ converges but how do I prove $\left|\sum_{n=1}^{\infty} a^{2^n}\right| <2$. I need to show the tail of the series goes to $0$. How do I go about showing this?
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RJ Corporation is considering replacing an existing piece of equipment. The cost of replacing the equipment is $125,000. The equipment that will be replaced can be sold for $75,000. The cash proceeds from the sale of the existing equipment will be received today. The replacement equipment will be depreciated over its ...
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E6-8 Wise, Inc., had the following inventory data: Units Unit Cost Total Cost January 1, 2010 30 $100 $ 3,000 June 5 100 126 12,600 November 16 150 136 20,400 December 31 70 150 10,500 350 $ 46,500 A physical count of inventory on December 31, 2010 revealed that there were 80 units on hand. Wis...
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Alpha Corp. has a cost of equity of 14.4%. The tax rate is 35% and the cost of debt is 8.4%. Assume the optimal debt-equity ratio is .65. Calculate the weighted average cost of capital (WACC).
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The travel time between two cities is 10 hours. On a particular day, the travel time is reduced to 8 hours due to bad weather. On another day, the travel time is cut by 3 hours due to good weather. Find the ratio of the travel times during these three different situations. A. 25 : 20 : 17 B. 10 : 8 : 5 C. 8 : 5 : 3 ...
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Looking across countries, which is most likely to have a negative value? The growth rate of: a. Total factor productivity b. The factors of production
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If an economy has not reached its full potential, then increasing aggregate demand can be expected to: a. increase real output. b. decrease real output. c. increase prices. d. decrease prices. e. increase prices and decrease real output.
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You read in the Wall Street Journal that 30 - day T - bills are currently yielding 2.15 %. Your brother - in - law, a broker at Safe and Sound Securities, has given you the following estimates of current interest rate premiums: Inflation premium = 2.15 % Liquidity premium = 0.90 % Maturity risk premium = 1.20 % Def...
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The left-hand side of the equation of the Monetary policy curve (nominal) is a) α(R* - i) b) α[π - E(πt+1)]. c) M/P. d) V.
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Which of the following situations requires finding a one-sample t statistic? a. When your sample size is not large enough to use a z statistic. b. When you are constructing a two-sided confidence interval. c. When your data are nominal. d. When you are comparing the means of two independent samples.
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Assuming all derivatives are existent and continuous, show that the divergence of the curl of a vector field is always zero.
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The amount of money a person must deposit 3 years from now in order to withdraw $10,000 per year for 10 years beginning 15 years from now at an interest rate of 10% per year is closest to: Select one: a. $21,500 b. $15,500 c. $19,400 d. $17,200
c
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A company had a net profit of $5,341,200 in 2010, and the revenue was $23,910,000. What was the company's profit margin?
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A firm earning economic losses might consider reducing output to zero if: a. marginal cost exceeds price. b. total fixed costs exceed total revenues. c. the price of its product is below its average total cost. d. total variable costs exceed total revenues. e. the price of its product is below its average variable...
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If a perpetual annuity (referred to as a perpetuity) pays out $1,000 per year and money is worth 5% per year, what is the present value of the perpetuity? a. 5,000 b. 10,000 c. 15,000 d. 20,000
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A bond has a coupon rate of 5.2%, a face value of $1000, and matures in 5 years. The bond is selling for $750. What is the bond's yield to maturity? a. 52% b. 8.2% c. 6.5% d. 4.3%
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Determine whether the taxpayer in the following situation has realized income. Explain why there has or has not been a realization, and determine the amount of income to be reported. During the current year, Chris's consulting firm receives a $4,000 deposit from a client who will receive the full $5,000 fee when the w...
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If $C$ is a cyclic code with generator polynomial $g(x)$ and $D$ is a subset of $C$ consisting of only even-weight vectors from $C$, what is the generator polynomial of $D$ in terms of $g(x)$?
(1+X)g(X)
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Jones Co. uses the lower of cost or market (LCM) method, on an item-by-item basis, to determine its ending inventory. From the following data, calculate the amount to be reported as ending inventory at market: Product Units Cost per unit Estimated selling price per unit Product A 20 $240 $275 Product B 35 $320 $300 ...
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Oriole company owns a machine that cost $139,760 and has accumulated depreciation of $40,000. It expects to receive proceeds of $80,000 from the sale of this machine and will have to pay $7,000 to a contractor to dismantle the machine and get rid of it. The entry to record the sale includes a: a. debit to Gain on Sal...
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Use the margin of error, confidence level, and standard deviation to find the minimum sample size required to estimate an unknown population mean, given a margin of error of $110, a confidence level of 95%, and a standard deviation σ = $524.
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Marginal cost can be defined as: a) the change in total costs that results from producing each of the firm's fixed inputs b) the change in total costs that results from producing each additional unit of output c) the change in average variable costs when one more unit of a good or service is produced d) the change ...
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A sphere of radius R = 10 cm carries a volume charge density given by {eq}\rho(r) = 100 \ r \ (C/m^3) {/eq}. Calculate the total charge contained in the sphere. a) 2000.10 {eq}^{-7} {/eq} C b) 125.664 {eq}^{-7} {/eq} C c) 1.2566 {eq}^{-9} {/eq} C d) 0.1256 {eq}^{-9} {/eq} C
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