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In an open economy under flexible exchange rates, a reduction in the interest rate will cause an increase in which of the following? a. investment b. exports c. net exports d. All of the above e. None of the above
d
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The market for shares sold outside the boundaries of the issuing company's home country is the: a) Eurocurrency market. b) international bond market. c) international equity market. d) Euroequity market.
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If $|E(w,t)|^2=10^2cos^2(10^9t-3x)$, does it mean that $E(w,t)=10e^{j10^9t-3x}$ or $E(w,t)=10e^{j(10^9t-3x)}$ ? ($E(w,t)$ is function of $w$ and $t$.)
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How do prices change due to an economic contraction that is caused by a shift in aggregate demand? A. They rise in the short run and fall back to their original level in the long run. B. They rise in the short run and rise even more in the long run. C. They fall in the short run and rise back to their original level...
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Why is the expected number of steps in a Markov Chain with state space {1, 2, 3} and transition matrix $$P = \begin{pmatrix} 1/3 & 1/3 & 1/3 \\ 1/3 & 1/3 & 1/3 \\ 1/3 & 1/3 & 1/3 \end{pmatrix}$$ starting at 1 equal to 3, even though it's a valid path: 1 → 2 → 3 → 2 → 3 → ...? Where is the error in the reasoning that th...
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The final entry in the closing process will: a. Decrease assets. b. Decrease liabilities. c. Increase liabilities. d. Increase stockholders' equity.
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Use sigma notation to write the following Riemann sum. Then evaluate the Riemann sum using a calculator: The midpoint Riemann sum for {eq}f(x)= 3 + \cos \pi x {/eq} on [0,5] with n= 20.
15.00
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What cost should be assigned to the ending inventory if production exceeds sales? a. Variable cost. b. Fixed cost. c. Both Variable and Fixed Cost. d. Neither Variable nor Fixed Cost.
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An item can be produced either by imported components at a total cost of $800,000 + $120 per unit or by direct labor at a total cost of $1,000,000 + $80 per unit. The break-even point in units between making and buying is _____. a) 1,000 units b) 12,500 units c) 2,000 units d) 10,000 units
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Portfolio return in a year can be found using the following formula? Expected Return = (Probability of a Recession x Return in a Recession) + (Probability of an Expansion x Return in an Expansion) Company A has an expected return of 24%. Company B has an expected return of 12%. Company C has an expected return of 36%...
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If the job market is characterized by a surplus of jobs, we can conclude that: a. the wage rate is above the equilibrium wage. b. it is a classical economy. c. it is a Keynesian economy. d. the wage rate is below the equilibrium wage.
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Consider the following cash flow. What is the present worth in year 0? Assume an interest rate of 9% per year. Year Cash Flow Year Cash Flow 0 -$4,000 4 +$1,500 1 +$0 5 -$1,200 2 -$600 6 +$600 3 +$1,800 7 +$1,800 a. $2788 b. $2,360 c. $2,433 d. $3,291
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How do I calculate the flux of $$ f(x,y,z) = (\sin(yz),y+\sqrt{x^2 + z^2}, 1-z) $$ through the surface $$ \Omega = \{(x,y,z) \in \mathbb{R}^3 | x^2 + y^2 = 1, 0 < z <1 \} $$ using the Gauss divergence theorem, given that the divergence of f is 0 and I'm struggling to calculate $ \oint_{E =\partial\Omega}f \cdot n $ d$E...
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For a population, $\mu=40$ and $\sigma=12$. Suppose you select a sample of $n=3$. There is a 65% chance that $\overline{X}$ is above what value?
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The following are the account balances of Yoder Co. at August 31, 2013: Dividends payable$10,000 Cash$120,000 Preferred stock ($100 per share)$100,000 Common stock ($1 par share)$100,000 Paid-in capital in excess of par common$50,000 Retained earnings$310,000 What would Yoder's total stockholders' equity be if Yoder ...
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Consider a multiple regression model with \(n = 30\) and \(k = 3\). You are given the following values: $$SST = 50, \; SSE = 20$$ What is the F-statistic for testing the overall significance of the model?
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Net income was $144,000. Depreciation was $110,000. During the year, accounts payable increased by $8,000, and accounts receivable increased by $12,000. There was a $22,000 gain on the sale of equipment. Net cash provided (used) by operating activities was: a. $246,000 b. $238,000 c. $200,000 d. $226,000
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Determine the equation of demand function for a monopoly with total revenues {eq}R(x)=5000x-20x^{2} {/eq} and cost function {eq}C(x)=1000+50x {/eq} Assume that the monopoly prices the product at {eq}$2400 {/eq} per unit, find the equation for its demand function in the form {eq}p(x) {/eq}
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You are retired, have $264,500 in your savings, withdraw $2,000 each month, and earn 4.5 percent, compounded monthly. How long will it be until you run out of money? a) 18.78 years b) 13.02 years c) 22.08 years d) 15.25 years e) 13.67 years
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What is the probability that the sample mean will be less than 2100 square feet if the living spaces for a particular office are normally distributed with a mean of 2200 square feet and a standard deviation of 600 square feet, and a sample of 25 office is randomly selected?
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A business study was conducted to determine the proportion of people who use social media and the age group of those people. Of those sampled and using social media, 50 were in the age group 21-25, 40 were in the age group 26-30, 20 in the age group 31-40, and 10 in the age group 41-50. What is the estimated probabili...
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Kustura Company had the following cash balances: Beginning of the year $15,000 End of the year $30,000 The cash balance at the beginning of the year is equal to 30% of long-term debt at the beginning of the year. During the year, Kustura repaid $15,000 of its long-term debt. During the year, Kustura reported $45,...
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A 3.0 kg object has a momentum of 24 kg m/s. What is the object's velocity?
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Consider a population with mean μ = 100 and variance σ2 = 1,024. If a random sample n = 100 is obtained, what is the probability that the mean is less than 97?
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Slow U.S. economic growth rate impacts the size of the Fed's balance sheet as: a. The Fed reduces the discount rate to 0%, b. Banks maintain high levels of excess reserves, c. Businesses reduce spending, keeping more money in their demand accounts, d. Individuals move money from checking ti saving accounts.
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A firm's projected benefit obligation was $120 million at the beginning of the year and $128 million at the end of the year. The interest cost added to the projected benefit obligation during the year was $7 million. What was the contribution made to the pension fund during the year?
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Consider the following statement: The real GNP of a country will increase if its labor productivity increases. Which of the following sets of assumptions is required for this statement to be true? (a) The population is constant (b) The unemployment rate is zero (c) The number of hours of work in the economy is con...
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Walter is considering the purchase of a rental property in order to generate income for his family. Real property is an asset that: A. Should not be considered a depreciable asset because of the permanency of such assets. B. Should be depreciated for tax purposes using the straight-line method. C. Is subject to acce...
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Wheat costs $1.20 per pound to produce and it sells for $1.50 per pound. If the elasticity of demand for wheat is -.50, then a 1% increase in production would: a. decrease profit by less than 1%. b. leave profits unchanged. c. increase profits by 1%. d. increase profits by more than 1%.
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Which of the following statements about the p-value approach are true? (Check all that apply. If none applies, do not check any.) A. It yields different results than the rejection region method. B. It yields the same conclusions as the rejection region method. C. It takes full advantage of the information available ...
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You are the money manager of a $2 million dollar portfolio. The portfolio consists of 4 stocks with an equal investment in each one. The betas of the 4 stocks are 1.25, -1.75, 1.00 and 0.75. The market's required return is 12% and the risk-free rate of return is 4%. Calculate this portfolio's beta.
0.3125
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What is the after-tax cost of debt for a firm with 6% debt yielding 9% if the tax rate is 40%? a. 3.6% b. 5.4% c. 6.0% d. 9.0%
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What is the number of Euros that a U.S. company would receive if it contracted a new project in the European Union for 100,000 Euros, given that the company hedges by purchasing a forward contract, the dollar per euro exchange rate moves from $1.30 to $1.40 over the life of the contract, and the U.S. and EU interest ra...
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Calculate the flux of the vector field F(x,y,z) = 3i+4j+8k through a square of side length 5 lying in the plane 2x+2y+4z=1 oriented from the origin.
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Assume that US and British investors require a real return of 2%. If the nominal US rate of return on its securities is 15%, and the nominal British rate of return on its securities is 13%, then according to the IFE, the British inflation rate is expected to be about: a. 1% above, and the US inflation rate is expected...
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Evaluate the output of the circuit given a rectangular waveform input with a period of 1 second and amplitude of +5V to -5V. The time constant is 10 ms.
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The long-run average-cost curve: (Select one) a) connects the minimum points of all the short-run average-total-cost curves. b) connects the maximum points of all the short-run average-total-cost curves. c) connects minimum points on the short-run total-cost curves. d) indicates the most efficient scale of operati...
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Find the Laplace Transform of the following: $ \cos(10t)*\delta(t-2) $, where * is the convolution operator and $ \delta $ is the dirac-delta function.
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UMUC STAT Club wanted to estimate the study hours of STAT 200 students. Two STAT 200 sections were randomly selected and all students from these two sections were asked to fill out the questionnaire. This type of sampling is called: a) cluster b) convenience c) systematic d) stratified
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What is the total electric field at the origin, given that there are two +2.0 nC charges on the x-axis at x = ±3.0 cm and a -1.0 nC charge on the y-axis at y = -3.0 cm?
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Zimmern Company has a debt-equity ratio of .50. If it had no debt, its required rate of return would be 12%. Its current cost of debt is 9%. If the corporate tax rate is 40%, what is Zimmern's cost of equity?
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Lannon Industries has a selling price of $24 per unit, variable costs of $16 per unit, and fixed costs of $42,000. Lannon expects sales of 9,000 units. An order for 1,000 units has been made on a special arrangement. Lannon has excess capacity and no additional fixed costs. Lannon will be able to increase profits by $ ...
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Kelly's Corner Bakery purchased a lot in Oil City five years ago at a cost of $600,000. Today, that lot has a market value of $725,000. At the time of the purchase, the company spent $55,000 to level the lot and another $4,800 to install storm drains. The company now wants to build a new facility on that site. The buil...
$1,800,000
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If the risk-free rate increases, then the WACC of a firm: a. will increase as long as its cost of debt exceeds the return on its stock. b. will increase as long as its cost of debt exceeds its cost of equity. c. will decrease. d. will increase, but only if the firm has both equity and debt in its capital structure....
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The table below gives the number of days per year that various federal judges were on the bench, and the interest rate at which they invested their lost interest income. Years on the bench Interest rate Average trial judges 29.5 8% Average appellate judges 32.1 10% Assuming that the value of the lost interest in...
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X is a random variable following a normal distribution with mean \(\mu = 50\) and variance \(\sigma^2\). We wish to reject the null hypothesis that \(\sigma^2 = 50\) in favor of the alternative hypothesis that \(\sigma^2 > 50\). For the given alternative hypothesis, explain how the likelihood ratio test rejects the nul...
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Omega Company has the following two customers: Woodruff Ensley Sales $900,000 $800,000 Cost of Goods Sold 360,000 160,000 MSDA expenses excluding sales commissions 640,000 130,000 If the company pays a 2% sales commission based on revenue, this will encourage a salespersons' efforts to sell to: a. Ensley, a profita...
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In the context of markup pricing, it is true to say that _____. a) marginal cost is constant b) it is an ideal pricing strategy c) markup pricing is a special case of price discrimination d) the profit-maximizing price always coincides with the value-maximizing price e) value maximization entails setting the price...
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Let $A$, $B$, and $A + B$ be nonsingular matrices. Prove that $A^{-1} + B^{-1}$ is nonsingular by showing that $( A^{-1} + B^{-1} )^{-1} = A( A + B )^{-1} B$
A(A+B)^{-1}B
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Find all values of $a$ for which the function $f(x)=x^{3}+3(a-7)x^{2}+9(a^{2}-19)x+2a^{3}$ has a local minimum at some $x<0$ and a local maximum at some $x>0$.
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For a fixed confidence level, as the sample size increases, the required degree of precision: a. increases, thus the confidence interval gets larger. b. increases, thus the confidence interval gets smaller. c. decreases, thus the confidence interval gets larger. d. decreases, thus the confidence interval gets small...
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How large should the sample size {eq}n{/eq} be in order to have a margin of error of {eq}0.012{/eq} with a 99% confidence interval, given that {eq}p \approx 0.07{/eq}?
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To accomplish a successful repositioning of the brand, Taco Bell needed to inform its consumers that Taco Bell food should be thought of as an experience rather than as just fuel. In the communication process, Taco Bell would be the _____ and the consumer would be the _____. a. message, receiver b. source, receiver ...
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Market demand is given as QD = 200 3P. Market supply is given as QS = 2P + 100. Each identical firm has MC = 0.5Q and ATC = 0.25Q. What is each firm's quantity? (round to nearest whole number)
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Which of the following describes the effect of recording depreciation expense at year-end? A) Net income decreases and total assets decrease. B) Total assets decrease and stockholders' equity is not affected. C) Net income decreases and total assets increase. D) Stockholders' equity is not affected and net income d...
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Consider the following information concerning the retail inventory method: Cost Retail Beginning merchandise inventory $575,000 $920,000 Purchases 3,028,000 4,420,000 Freight-in 47,000 - Markups - 135,000 Normal spoilage 62,000 97,000 What is the average cost per unit, rounded to the nearest dollar?
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How do you find the minimum sample size needed for estimating an unknown population mean given a margin of error of $120, a confidence level of 95%, and a standard deviation σ = $522?
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The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4.5. Suppose 81 golfers played the course today. Find the probability that the average score of the 81 golfers exceeded 76.
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Consider the following expression in general coordinates: $$-\frac{\partial^2\phi}{\partial x^\mu \partial x^\nu} \eta^{\mu\nu}.$$ Assuming that the metric is constant, does this reduce to: $$-\frac{\partial }{\partial x^\mu} \frac{\partial \phi}{\partial x^\mu}$$ since $\frac{\partial}{\partial x^\mu}$ and $\eta^{\mu\...
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Under perfect competition, because marginal revenue equals average revenue equals price: a. A profit-maximizing firm always maximizes profit by producing the quantity of output at which marginal cost equals marginal revenue. b. If marginal cost is greater than marginal revenue, a firm can increase profit by producing...
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Suppose your portfolio mirrors the S&P 500 index and is valued currently at $2,000,000. The S&P 500 index is currently at 2,000. What action is needed to provide protection against the value of the portfolio falling below $1,900,000 in 6 months? a. Buy 1,000 6-month S&P 500 put options with strike price of 1800. b. B...
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Let $X$ be a bounded subset of $\mathbb R$. Is $$\limsup_{n\to\infty}\sup_{x\in X}\left|x-\frac{p_n(x)}{q_n(x)}\right|,$$ where $p_n(x),q_n(x)\in\mathbb{Q}[x]$ such that $\deg(p_n(x))\leq n$, $\deg(q_n(x))\leq n$ and $q_n(x)\neq 0$ for all $n\in\mathbb{N}$, equal to zero? ($X$ may not be compact)
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A firm has $5,000 of average inventory, operating profit of $50,000, and sales of $100,000. What will be its days in inventory? A. 36.5 days B. 24.3 days C. 73.0 days D. Not enough information
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A decision maker is faced with a capital rationing problem and must make the following choices: i. Do nothing. ii. Accept Project A. iii. Reject Project A. iv. Accept Project B. v. Reject Project B. vi. Accept Projects A and B. vii. Reject Projects A and B. Which of the choices should be made? A. i B. ii C. ...
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The U.S. has trade barriers in place, so we can't buy American-made products. True or False?
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The following estimates have been prepared for a project: Fixed costs $12,600 Depreciation $8,400 Sales price per unit $2 Accounting break-even 12,000 units What must be the variable cost per unit?
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Differentiate #sin(x/2)# using first principles?
1/2cos(x/2)
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Evaluate the double integral {eq}\iint_{R} \sqrt{4 - x^2} \; \mathrm{d}A, \; R = \{(x, y) | -2 \leqslant x \leqslant 2, \; 0 \leqslant y \leqslant 2\} {/eq}.
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Riviera Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products: Activity Cost PoolsActivity Rate Setting up batches$95.63 per batch Processing customer orders$79.78 per customer order Assembling products$13.13 per assembly hour Data concerning two products a...
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Westmar Corporation recently installed a new machine costing {eq}\$50,000 {/eq}. The company estimates that the machine will have a residual value of {eq}\$10,000 {/eq}. The estimated useful life is 7 years and the expected annual operating cash inflows are: 1. {eq}\$15,000 {/eq} during the first year, 2. {eq}\$20...
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Which of the following statements will always hold true? a. The constant growth valuation formula is not appropriate to use unless the company's growth rate is expected to remain constant in the future. b. It will never be appropriate for a rapidly growing startup company that pays no dividends at present - but is ex...
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The current ratio is used to assess a company's a. short-term liquidity. b. long-term liquidity. c. ability to meet its debt payment. d. financial flexibility. e. profitability.
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Find the inverse Laplace transform of the function {eq}\displaystyle F(s) = -\left (\dfrac 2 {s^2} + \dfrac 2 {s + 7}\right ) {/eq}.
-2t-2e^{-7t}
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If the total amount of excess reserves in the banking system is $100 million and the legal reserve ratio is 10%, then the money supply will be increased by A. $100 million if each bank chooses to hold no excess reserves. B. $100 million if each bank chooses to hold 20% excess reserves. C. less than $1 billion if eac...
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Which of the following will result in an unfavorable direct labor cost variance? a) when actual direct labor hours exceed standard direct labor hours b) when actual direct labor hours are less than standard direct labor hours c) when the actual direct labor cost per hour exceeds the standard direct labor cost per ho...
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Which of the following statements regarding monetization is false? a. The amount of income the government derives from monetization is measured by the resulting increase in the monetary base. b. If used without limit, monetization provides absolute protection against equitable insolvency. c. In current times, issuin...
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Smyer Company provided the following information regarding its only product, tires: Sales price per unit $150 Direct materials used $60,000 Direct labor $90,000 Variable factory overhead $80,000 Variable selling and administrative expenses$40,000 Fixed factory overhead $120,000 Fixed selling and administrative expen...
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Assume that the market demand schedule for a good is as follows: Price Quantity Demanded $25 20 $24 30 $23 40 $22 50 $21 60 What is the total amount (in dollars) spent by consumers on this good when the pric...
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How many times would we have to flip the coin in order to obtain an 89% confidence interval of width of at most .12 for the probability of flipping a head, given that we suspect the coin is fair?
178
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A company reported the following data: Net income$60,000 Depreciation$10,000 Increase/(decrease) in accounts receivable$2,000 Increase/(decrease) in prepaid rent($1,000) Increase/(decrease) in accrued liabilities$1,500 Cash paid to purchase office equipment$3,000 The company would report net cash provided by operatin...
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In its first month of operation, Sweet Acacia Industries purchased three replacement parts for $42,000, $60,000, and $88,000, respectively. Each part was returned within the 14 days of purchase. What is the total amount to be returned to the supplier under the terms of 3/10, n/40?
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An economy is operating at its full potential when: A) cyclical unemployment is equal to the natural unemployment rate. B) cyclical unemployment is equal to zero. C) the natural unemployment rate is equal to zero. D) The long-run Phillips curve cuts the vertical axis at zero.
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At an independent statistics teacher's convention, a random sample of 500 male statistics instructors are sampled, and their mean height is found to be 69.8 inches. The 500 male statistics instructors sampled represent 75% of all male statistics instructors. Assuming the population standard deviation for the entire pop...
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Assume that the expected return on the market portfolio is 15% and the risk-free rate is 4%. Which of the following assets would an investor prefer, assuming they cannot diversify their investment? a) An asset with a beta of 1.2 and an expected return of 14% b) An asset with a beta of 1.0 and an expected return of 15...
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Assume that the random variable {eq}X {/eq} is normally distributed, with mean {eq}\mu = 60 {/eq} and standard deviation {eq}\sigma = 16 {/eq}. Compute the probability {eq}P(X < 80) {/eq}.
0.8944
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Which of the following is a nonvalue-added process? A) A valid process for which no cost can be assigned B) A process that adds value to the product only if it is eliminated C) A process that adds value to the product, such as reworking a unit that has been rejected D) A process that does not add value to the produ...
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Which one of the following statements related to stock buybacks is correct? a. Stock buybacks are a means of obtaining shares for employee stock option grants. b. Stock buybacks are becoming rare and may soon disappear totally. c. In 2007 and 2008, U.S. companies issued more shares than they repurchased. d. Firms a...
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Given a normally distributed dataset of 200, 300, 350, 350, 375, 400, 560, 720, 800, calculate the probability that the mean is greater than 450, given a sample size of n=40.
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Jester Corporation's most recent income statement appears below: Sales (all on account) $540,000 Cost of goods sold $290,000 Gross margin $250,000 Selling and administrative expense $140,000 Net operating income $110,000 Interest expense $20,000 ...
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If a law that requires a manufacturer to deal with every distributor were to be lifted: a. The manufacturer does worse in negotiations because now distributors have a lower disagreement value. b. The manufacturer does worse in negotiations because now the gains from reaching an agreement have fallen. c. The manufact...
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Which is not true: a. novels are likely to be produced in a monopolistically competitive industry b. cable television is likely to be produced in a monopoly industry c. milk is likely to be produced in a monopolistically competitive industry d. cigarettes are likely to be produced in an oligopoly industry
c
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There are two primary rules of thumb for deciding if intellectual property protection should be pursued for a particular intellectual asset. First, a firm should determine if the intellectual property has value in the marketplace. Second, a firm should determine if its intellectual property _____. A) is directly relat...
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Assume the marginal revenue is less than the marginal cost at the point that meets the criteria for both the FOC and the SOC. In this case, the firm should: a. reduce output. b. produce a zero level of output. c. increase output. d. reduce output only if FC are less than TVC.
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Suppose the number of new products that a firm invents is a binomial random variable. Last year, the firm introduced 45 new products, and 21% of them were successful. Find the probability that the firm will introduce at least 25% of new products that are successful next year.
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A dam is inclined at an angle of $30^\circ$ from the vertical and has the shape of an isosceles trapezoid $200$ ft wide at the top and $100$ ft wide at the bottom and with a slant height of $160$ ft. Find the hydrostatic force on the dam when it is full of water. (The weight density of water is $62.5$ lb/$\text{ft}^3$....
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If there are decreasing returns to scale and both capital and labor are increasing by 100%, then the output will: A. decrease. B. increase by 100%. C. increase but by less than 100%. D. increase by more than 100%. E. remain constant.
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Suppose that the power series $\sum_{n=0}^{\infty}c_nx^n$ has a radius of convergence $1$ and the power series $\sum_{n=0}^{\infty}d_nx^n$ has a radius of convergence $2$. What is the radius of convergence of the power series $\sum_{n=0}^{\infty}(c_n + d_n)x^n$?
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Let $G$ be a finite group of order $n$ and let $k$ be an integer such that $gcd(k,n)=1$. I need to prove that the function $f:G\rightarrow G$, $f(x)=x^k$ is bijective. I proved that $f$ is surjective but I'm struggling to prove that it's injective. I was thinking that maybe I could use the fact that $gcd(k,n)=1$ and wr...
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Systematic risk is: a. measured by standard deviation. b. also called nondiversifiable risk. c. also called market risk. d. also called firm-specific risk. e. both b and c
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Given a static Cournot duopoly with the following demand function: $P=120-Q$ and both firms having the following cost function: $c(q)=20+30q$. Find the Cournot equilibrium. That is, find the Cournot equilibrium price P and the Cournot equilibrium quantities $q_1^c,q_2^c$. Also find the corresponding profits of each fir...
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