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Show $$\lim _{x\to 0}\frac{\sin x - x}{x^2}=0$$ using the definition of limit
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Fortune Tire just purchased some machinery for $66,000. The machine is expected to produce cash inflows of $20,000 in year 1, $27,000 in year 2, and $24,000 in year 3. The machine has a 3 year economic life. The company is replacing an old machine that was purchased for and expected to last for 3 years but it only has ...
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Suppose that the relationship between the tax rate t on imported shoes and the total sales s (in millions of dollars) is given by the function S(t) = 5 - 21\sqrt[3]{t}. Find the tax rate t that maximize revenue for the government (Round your answer to three decimal places).
0.006
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What do countercyclical fiscal and monetary policies have in common? i) They are both intended to reduce economic fluctuations. ii) They both work primarily by influencing aggregate demand, which affects the demand for labor. a) i) and ii) are both false. b) i) is false and ii) is true. c) i) and ii) are both true...
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Use implicit differentiation to determine \frac{dy}{dx} if 2x^{2}y^{3} - 3xy^{2} + 4x = 1
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Which of the following is the correct formula for determining total profit? a. Total revenue + total cost b. Total cost - total revenue c. Total revenue * total cost d. Total revenue / total cost
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Which of the following changes will lead to an increase in the break-even point? a. an increase in fixed costs b. a decrease in the selling price c. an increase in the contribution margin per unit d. a, b, and c are all correct
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What is the price elasticity of demand, given the following demand and supply equations: Qs = 2P + 10 Qd = 100 - 3P where P is the price and Qd is the quantity demanded.
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Eastline Corporation had 20,000 shares of $10 par value common stock outstanding when the board of directors declared a stock dividend of 8,000 shares. At the time of the stock dividend, the market value per share was $22. The entry to record this dividend is: a. Debit Common Stock Dividend Distributable $176,000; cre...
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What is the probability that the sample mean will be greater than $61,000 if the sample size is 50, given that business managers at Alpha Corporation have determined that the average annual salary of a sales representative is $60,000 with a standard deviation of $10,000?
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Suppose there are no excess reserves in the banking system and the current amount of demand deposits is $100,000. If the monetary authorities increase the required reserve ratio from 5% to 10%, then: a. the money-creating potential of the banking system will rise. b. the money-creating potential of the banking system...
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The clearing price for a contract in the OTC market A) will be higher than the current market price when the risk is high. B) will be lower than the current market price when the risk is high. C) will be the same as the current market price. D) can be either higher or lower than the current market price, depending ...
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The following are potential outcomes attained by Specialization and Trade (S&T) based on Comparative Advantage, except: A) An economy that is Labor Abundant will tend to have C.A. in the type of production that is Labor Intensive. B) S&T based on Comparative Advantage will lead to efficiency in production. C) Large ...
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Which of the following are considered intermediate-term liabilities under the direct method for cash flow classification? a. 6-month bank note b. 10-year bond c. 2-year lease contract d. Accounts payable
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A company just starting a business made the following four inventory purchases in May: May 1 - 130 units totaling $390; May 10 - 200 units totaling $650; May 15 -200 units totaling $700; and May 28 - 170 units totaling $680. A physical count of inventory on May 31 reveals that there are 200 units on hand. Using the F...
$1,635
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How can I tell whether a data set is discrete or continuous?
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Compute the probability that the standard normal variable is larger than -0.57 and smaller than 0.62
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Let $E$ be the field extension $E=\mathbb Q(2^{1/3},\omega)$ and let $G$ be the Galois group $\text{Gal}(E/\mathbb Q)$. The group $G$ is non-abelian and its order is $6$. Which of the following statements are true? (A) $G$ is isomorphic to $S_3$. (B) Every proper subgroup of $G$ is cyclic. (C) There exist $a,b \in E$ s...
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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 Manufacturing, selling, and administrative expenses excluding sales commissions 640,000 130,000 If the company pays a 2% sales commission based on revenue, this will encourage a salesperson's eff...
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Let $X$ and $Y$ be discrete random variables and assume $Y$ is independent of $X$. Show that $E(Y\mid X)=E(Y)$ and prove that $E(E(Y\mid X))=E(Y)$ by writing it in terms of $\sum$ and then rearranging the sums.
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Say that a firm's labor becomes more productive. The firm is in a perfectly competitive labor market. Other things constant, what is the effect on MP, MRP, and wage paid to employees? Choose from the choices below. MPMRPWage A.IncreaseIncreaseIncrease B.IncreaseNo changeIncrease C.IncreaseIncreaseNo change D.No chan...
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The objective function of a LP problem is z = 4x1 + 3x2 + 3x3. Which of the following statements is correct ? (A) z is maximized at a corner point of the feasible region (B) z is increased if we have a linear inequality of the type 4x1 + 3x2 + 3x3 ≤ r (C) z will be increased if the objective function is changed to 2...
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Which of the following statements is correct concerning tax incidence? a. The burden of the tax is always borne more heavily by the side of the market that is less elastic. b. The more elastic the supply curve, the greater the incidence of the tax on sellers. c. When demand and supply are equally elastic, sellers be...
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What is the probability that the mean value of the 38 homes is between $262,000 and $270,000, given that the value of homes a local realtor has sold is normally distributed with a mean of $252,000 with a standard deviation of $85,000?
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Suppose the cost to produce x thousand chairs per day is c(x) = 0.01x^2 + 50x + 300 thousand dollars. What is the marginal cost at a production level of 4000 chairs? (Production level is in thousands. Round to the nearest cent). What is the slope of the cost function at a production level of 4000 chairs? How is thi...
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The entry to record the use of indirect materials from the materials storeroom would include: a) a debit to the Work in Process Inventory account. b) a debit to the Cost of Goods Sold account. c) a credit to the Work in Process Inventory account. d) a credit to the Manufacturing Overhead account.
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Stock Y has a beta of 1.3 and an expected return of 15.3 percent. Stock Z has a beta of 0.70 and an expected return of 9.3 percent. What would the risk-free rate have to be for the two stocks to be correctly priced?
2.3%
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Why do the macroscopic properties of a gas depend on the average speed of its molecules, even though we observe the gas moving slowly?
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You have just bought a new warehouse. To finance the purchase, you have decided to sell a five-year term note for $10 million. The note pays interest annually, and payments of principal and interest will be made at the end of each year over the five-year term. What is the before-tax cost of debt for this financing if t...
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Metro Computer Inc. had the following balances and transactions during 2018: Beginning merchandise inventory as of January 1, 2018 100 units at $75 March 10 Sold 50 units June 10 Purchased 200 units at $80 October 30 Sold 150 units What would the company's ending merchandise inventory amount be on December 31, 2018, ...
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A particular fruit's weights are normally distributed, with a mean of 202 grams and a standard deviation of 18 grams. If you pick 22 fruits at random, what is the probability that their mean weight will be between 193 grams and 226 grams.
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Cline Company reports the following for the year 2010: - Units produced 55,000 - Direct materials $10 per unit - Direct labor $15 per unit - Variable overhead $140,000 - Fixed overhead $250,000 Cline sold 45,000 units in 2010 at a price of $52 per unit. Cline had no beginning inventory. Assume that direct materi...
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James, Inc. incurred the following infrequent losses during 2012: A $140,000 write-down of equipment leased to others. An $80,000 adjustment of accruals on long-term contracts. A $120,000 write-off of obsolete inventory. In its 2012 income statement, what amount should James report as total infrequent losses that a...
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Marginal resource cost is: a. the incremental cost associated with the employment of an additional unit of a resource. b. the increase in total cost when an additional unit of the output is produced. c. the increase in the price of an input due to an increase in its quantity employment. d. the change in total re...
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First Furniture Inc. is evaluating a new promotional campaign that could increase sales. Possible outcomes and probabilities of the outcomes are shown. Possible Outcome Additional Sales (Units) Probability Ineffective campaign 50 0.60 Normal response 90 0.20 Extremely effective 110 0.20 Compute the standa...
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In a perfectly competitive market, if market price is $5 and firms are producing the quantity at which marginal cost is $6, then in the long run: a. firms will leave the market because they are incurring losses. b. firms will remain in the market because they are making zero economic profit. c. firms will incur econ...
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How large a sample is needed so that the chance is approximately 95% that the proportion of those who say their friends have been influenced at all by the movement is between 0.33 and 0.45, given that about 40% of people say they have been influenced?
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Stefani Company has gathered the following information about its product. Direct materials: Each unit of product contains 4.30 pounds of materials. The average waste and spoilage per unit produced under normal conditions is 0.70 pounds. Materials cost $2 per pound, but Stefani always takes the 2.00% cash discount all ...
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Use the following information to answer the question below: Your hospital has been approached by a major HMO to perform all their MSDRG 505 cases (foot surgeries). They have offered a flat payment of $8,000 per case. You have reviewed your charges for MSDRG 505 during the last year and found the following profile: Av...
B
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In the context of stock valuation, which of the following is true of the growth rate of dividends? a. A higher growth rate in dividends usually lowers the required rate of return. b. Growth rate of dividends is the rate at which dividends are expected to grow in the future. c. Growth rate of dividends is the rate at...
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Titan Football Manufacturing had the following operating results for 2014: sales = $19,980; cost of goods sold = $14,010; depreciation expense = $2,250; interest expense = $280; dividends paid = $650. At the beginning of the year, net fixed assets were $19,600, current assets were $2,970, and current liabilities were $...
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Northern Corp., which holds 90% of Southern Corp.'s common stock, received the following information in preparing its 2013 consolidated statements. Dividends from Southern stock Southern's net income for 2013 Accumulated other comprehensive income (unrealized losses) for 2013 Northern's 2013 retained earnings Northern'...
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In comparison with the retail price of the good itself, the prices of the health-related services and other "packaged" goods have _____. a. increased more. b. decreased more. c. increased less. d. decreased less.
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Which of the following statements is true? a. For a given change in a dependent variable, behavior modification therapies generally produce smaller changes in behavior than other therapies. b. Health psychologists often use behavior modification techniques because they do not require therapists to have a lot of speci...
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Which of the following statements regarding ERP installation is least accurate? a. ERP fails because some important business process is not supported. b. When a business is diversified, little is gained from ERP installation. c. For the ERP to be successful, process reengineering must occur. d. The phased-in approa...
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Who did not complete the organizational system that is called psychoanalytic theory? A. Freud B. Adler C. Jung D. All of them E. None of them
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The distribution of salaries of the electricians is strongly skewed to the right. If you take a random sample of 100 electricians, which of the following are true about the distribution of the average salary of those electricians? I. The mean will be close to the mean of the population of all electricians. II. The sta...
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Suppose a firm produces 4000 units of output. It pays each of its 5 workers $10 per hour and has total fixed costs of $2000 per day. What is the firm's average total cost?
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Due to the damage by an earthquake, a region will have a very large increase in its natural resources, and this region's: a. gross domestic product will increase. b. capital stock will increase. c. labor force will increase. d. All of these.
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U.S. workers have higher average annual incomes than do workers in other countries. If American firms sell their products at the same price as they charge in other countries, a. American producers must be earning smaller profits. b. American consumers will be buying a greater amount of American-made products. c. few...
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A company is considering the purchase of a new machine for $48,000. Management predicts that the machine can produce sales of $16,000 each year for the next 10 years. Expenses are expected to include direct materials, direct labor, and factory overhead totaling $12,000 per year including depreciation of $3,000 per year...
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If a firm's managers want to keep debt at a stable level and let equity fluctuate with changes in the firm's capital budget, the firm should use: a. Dividend payments as a residual b. A stable dividend policy c. A target payout ratio d. A low, stable but not necessarily zero, level of dividends
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How many moles of sodium chloride are dissolved in 1.00 L of a solution that is 8.56% sodium chloride by mass? Assume that the density of the solution is 1.05 g/mL.
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How to solve the integral $$\int _{0}^{\infty }\frac{x\text{np}x \text{exp}(-\text{np}x)}{\text{np}x-\text{np}y}dx$$?
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Which of the following managerial skills is most important for upper-level managers? A. decisional skills B. communication skills C. conceptual skills D. problem-solving skills E. administrative skills
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When total product increases at an increasing rate, the firm employs: a. teamwork. b. specialization. c. Both A and B. d. Neither A nor B.
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The Standard Occupational Classification (SOC) of 2010 does not {eq}\text{________} {/eq}. A) reflect actual changes in the nature or organization of work activities in the economy B) allow organizations to seek greater recognition for their members' occupations C) allow organizations to seek a higher profile for t...
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Last year, a company had $225 million of sales, $150 million of fixed costs, $25 million of total variable costs, $20 million of total debt, $5 million of interest expenses, and $25 million of net income. Its tax rate is 35%. The company's CEO thinks that the company could cut its total costs to $135 million, which wou...
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XYZ Company purchased a new machine on January 1, 2003 for $120,000. The machine had an 8-year life and a $5,000 salvage value assigned to it. Calculate the book value of the machine at December 31, 2005 assuming the company will depreciate the machine using the straight-line depreciation method. Do not use decimals i...
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Using Green's Theorem, find the outward flux of F across the closed curve C. F=(x-y)i+(x+y)j; C is the triangle with vertices at (0,0),(5,0), and (0,2)
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Which of the following is the cost for 2016 regarding a new passenger automobile placed in service on April 2016? a. $10,200 b. $10,400 c. $12,500 d. $25,000
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I. During periods of weak demand for a government bond, a. debtors benefit b. creditors benefit c. no one is affected d. bonds go on sale at a discount II. If there is a small interest rate differential between U.S. dollars and foreign currency, domestic interest rates will ....... A. rise B. fall C. stay the same D. r...
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Uptown Interior Designs is an all-equity firm that has 40,000 shares of stock outstanding. The company has decided to borrow $1 million to buy out the shares of a deceased stockholder who holds 2,500 shares. What is the total value of this firm if you ignore taxes? A. $15.5 million B. $15.6 million C. $16.0 million...
C
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Is it possible to see the analysis from the equation below even if I am not familiar with Fourier transform or polar coordinates? $$ \lim_{R\to \infty}\int_{0}^{2\pi}e^{-j(R^{2}t^{2}-R^{2})}dt =\delta (f) $$
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Which of the following is not a policy area that can address information technology management issues? a. Workers' Competitiveness b. Intellectual Rights c. Communication Rights d. Data Policy
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Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 12.
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The last day that a firm can take advantage of the 2/10 net 30 credit terms offered by its supplier is __________. A. day 10. B. day 30. C. day 20. D. day 40.
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Book Value of Equipment Equipment was acquired at the beginning of the year at a cost of $10,000 and is expected to have a useful life of four years. It will have no residual value at the end of its useful life. The company received $5,000 in cash when it sold the equipment at the end of the third year. How much is the...
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JEN Corp. is expected to pay a dividend of $3.50 per year indefinitely. If the appropriate rate of return on this stock is 8 percent per year, and the stock consistently goes ex-dividend 20 days before dividend payment date, what will be the expected maximum price in light of the dividend payment logistics? a. $43.75 ...
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How is net cash flow for the period determined? a. Total cash inflow minus total cash outflow. b. Total cash inflow plus total cash outflow. c. Total cash outflow minus total cash inflow. d. Total cash inflow divided by total cash outflow. e. Total cash outflow divided by total cash inflow.
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Omega Company has the following two customers: WoodruffEnsley Sales $900,000$800,000 Cost of goods sold360,000160,000 M & SDA expenses (excl. sales commissions)640,000130,000 If the company pays a 2% sales commission based on revenue, this will encourage a salesperson's efforts to sell to: A) Ensley, an unprofitable...
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Company manufactures and sells three products. During the last year, the products and the information about them were as follows: Products A B C Sales $120,000 $100,000 $360,000 Contribution margin ratio 50% 70% 80% Fixed costs are $680,000. What is the break...
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The nominal risk-free rate is 3.83%. Inflation is expected to be 2.41% this year and 4.12% next year. The real risk-free rate is expected to be 2.35% annually. The average annual return on the stock market is expected to be 13.28% annually. A corporate bond has a beta of 1.39. Determine the risk premium on the corporat...
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Lionel has $100 to spend on soda, ice cream, and frozen yogurt. Soda costs $2 per container, ice cream $5 per pint, and frozen yogurt $3 per cup. He considers the goods close substitutes for each other. He buys 10 containers of soda and 10 pints of ice cream and nothing else. This combination is: a. optimal because so...
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Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (0,0), (3,0), (3,4), and about the y-axis in cubic units.
24pi
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Integrate f(x, y) = x + y over the curve C: x^2 + y^2 = 25 in the first quadrant from (5, 0) to (0, 5).
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Use the ideal gas law to demonstrate the cyclic rule of partial derivatives.
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The current ratio and quick ratio are related as: A. the current ratio is equal to the quick ratio plus the inventory ratio. B. the current ratio minus the inventory ratio equals the quick ratio. C. the quick ratio plus the current ratio equals the average days in inventory. D. the quick ratio minus the inventory r...
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The uniform series compound amount factor, (F/A, i, N) is the inverse of the: a) Uniform series sinking fund factor, (A/F, i, N) b) Compound amount factor, (F/P, i, N) c) Present worth factor, (P/F, i, N) d) Capital recovery factor, (A/P, i, N) e) Sinking fund factor, (A/F, i, N)
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Sheldon Science Corp. will pay a dividend of $1.50 per share next year. It sells at $30 per share, and firms in the same industry provide an expected return of 18%. Compute the implied growth rate for the company's dividends. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decima...
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How can I find a sequence of continuous functions $f_n \in X$ such that $\|f_n\|_1 = 1$ and $\varphi(f_n) \to 1$, in order to show that $\|\varphi\| = 1$, where $\varphi(f) = \int_0^1 t f(t)dt$ and $X = \{g: [0,1]\to \mathbb{R}, g \text{ continuous in }[0,1] \}$ with the norm $\|f\|_1 = \int_0^1 |f(t)|dt$? The sequence...
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In the Ricardian model, a country has a comparative advantage in producing a product if: a) Its cost of production of that product, in worker hours, is lower relative to the cost of production of the other product, b) Its cost of production, in dollars, is lower than the cost of production of the same good in the oth...
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To record a cash payment of a previously established account payable under a periodic billing arrangement: a. debit Accounts Payable, and credit Cash. b. debit AP Expense Payable, and credit Cash. c. debit AP Expense Payable and Accounts Payable, and credit Cash. d. debit Accounts Payable, and credit AP Expense Pay...
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Kosko Manufacturing wants to estimate the firm's weighted average cost of capital. The firm has 600,000 shares of common stock outstanding at a price of $16 per share. The firm's beta is 1.25. It has $6 million in face value of 7% coupon bonds outstanding with a current market value of $5 million. The risk-free rate is...
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The master budget includes forecasts for all of the following EXCEPT: a. sales. b. number of employees. c. balance sheets. d. cash disbursements.
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A machine at Delta Company, which manufactures widgets, can produce 120 widgets an hour. There is a fixed daily setup cost of $2,500 for the machine, plus $1 per widget. The widgets sell for $20 each. What is the minimum number of widgets that must be produced for the machine to generate a profit in one day? Ignore the...
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What are non-conventional cash flows? A. A combination of cash outflows and inflows. B. High cash flows followed by much lower cash flows. C. A zero return on an investment. D. Small initial investments and much larger returns. E. Low cash flows followed by much higher cash flows.
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Assume that interest rate parity holds. In the spot market 1 Japanese yen=$0.012, while in the 180-day forward market 1 Japanese yen=$0.0126. 180-day risk-free securities yield 2.1% in Japan. What is the yield on 180-day risk-free securities in the United States? Round your answer to 2 decimal places. Do not round inte...
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When the direct write-off method is used to account for uncollectible accounts, which of the following accounts is debited when a customer account is written off? a. Bad Debt Expense b. Allowance for Doubtful Accounts c. Accounts Receivable d. Uncollectible Accounts
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Solve the system of linear congruences $x \equiv 1 \pmod 2$, $x \equiv 1 \pmod 3$, $x \equiv 1 \pmod 5$, and $x \equiv 2 \pmod 7$.
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The supply curve is upward sloping because of: A) the laws of diminishing returns B) an increase in the price of an input C) an increase in the opportunity cost of resources used in the current production of the good D) an increase in fixed cost
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$7x - 6y = 20$ and $9x - 8y = 26$ have the same solution as the equation $kx - 10y =38$. What is the value of $k$?
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We have the function $f: [0,1] \rightarrow [0,1]$ such that $f(x) = 4x(1-x)$. Find the number of zeros of $f^{\circ n}(x)=f(f(...f(x))...)$ ($n$ times composition of $f()$).
2^n-1 + 1
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While analyzing a firm's financial statements, which of the following ratios would indicate how many dollars of sales are generated from every dollar of assets? a. Equity multiplier b. Return on total assets c. Asset turnover d. Return on common stockholders' equity
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Which of the following is true about a perfect price searcher? A) A perfect price searcher faces a horizontal demand curve. B) A perfect price searcher does not exist. C) A perfect price searcher faces a downward sloping demand curve. D) A perfect price searcher and a perfect price taker are the same thing. E) A a...
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Suppose the money supply increases by $20 billion, and aggregate demand increases by $20 billion at each price level. If velocity and prices are constant, then the quantity of money demanded: A. rose by $20 billion B. rose by $40 billion C. fell by $20 billion D. remained unchanged
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Horace Corporation is expected to pay a dividend of $4.45 per share next year. The dividend is expected to grow at a constant rate of 3.75% per year. The company's required rate of return is 12.3%. What is the current stock price? a. $60.08 b. $55.72 c. $64.38 d. $56.32 e. $62.45
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What is the yield on a $1000 US Treasury bill if it matures in 185 days and the price is $985?
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A bond has a $1,000 par value and an 8 percent coupon rate. The bond has four years remaining to maturity and a 10 percent yield to maturity. This bond's modified duration is _____ years. a. 1.33 b. 1.27 c. 3.24 d. 1.31 e. none of the above
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The price elasticity of demand for a unique store brand of coffee sold in supermarkets is generally: a. greater than the elasticity for the same product sold in specialty coffee shops b. less than the elasticity for the same product sold in specialty coffee shops c. equal to the elasticity for the same product sold ...
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