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What is the amplitude and period of the function f(x)=cos(4x)-cos(2x) on [-pi/2, 3pi/2]?
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Assume Jim and Molly enter into a partnership with initial capital balances of $600,000 and $400,000, respectively. Which of the following options will give Jim 60% of the partnership income? A) 60% of any additional income; 60% of remaining income B) 60% of first $200,000 of income; 60% of remaining income C) 60% o...
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A pure discount 4-year bond that pays interest semiannually, has a coupon rate of 5.9%, and has a price of $101.49 per $100 face value. What is the effective annual yield to maturity?
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Heston Company uses a job order cost system and applies overhead based on estimated rates. The overhead application rate is based on total estimated overhead costs of $242,700 and direct labor hours of 11,900. During the month of April, actual direct labor hours of 11,500 were incurred. Use this information to determin...
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A company's 7% coupon rate, semiannual payment, $1,000 par value bond that matures in 20 years sells at a price of $695.07. The company's federal-plus-state tax rate is 40%. What is the firm's after-tax component cost of debt for purposes of evaluating the WACC? a. 9.29% b. 10.40% c. 9.30% d. 10.59% e. 8.45%
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Find the centroid of the region bounded by the curves y = x^3, x + y = 2, y = 0.
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You are the manager of a monopolistically competitive firm, and your demand and cost functions are given by: Q = 36 - 4P C(Q) = 124 - 16Q + Q^{2} Calculate your firm's Lerner index at the given price-quantity combination. (Enter your response rounded to two decimal places.)
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In an oligopoly market: A) the demand curve for the entire market is perfectly elastic. B) the demand curve for the entire market is downward sloping. C) there are many firms, each having a negligible share of the market. D) the demand curve for the market can be either downward sloping or perfectly elastic.
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A project requires an investment of $6,668 in equipment with an estimated useful life of 4 years and no salvage value. The annual accounting income from the project will be $4,000. What is the accounting rate of return on the equipment? Assume the straight-line depreciation method. (40 points)
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If the price of a bond is less than its face value, the yield to maturity is _____ the coupon rate. a) less than b) equal to c) more than d) None of the above
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Because it is a member of OPEC, the United States is allowed to import less than _____ of its foreign oil. A) 20 percent. B) 15 percent. C) 10 percent. D) 5 percent.
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Find the minimum sample size that should be selected to estimate p to within 0.045, with a 99% confidence interval, given a preliminary estimate of p= 0.22.
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The ideal batteries have emfs 1 = 26 V and 2 = 6.0 V and the resistors have resistances R1 = 4.6 {eq}\Omega {/eq} and R2 = 9.3 {eq}\Omega {/eq}. What is the energy transfer rate in battery 1?
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LPD Logistics, Inc.'s projected sales for the first six months of 2018 are given below. Jan$300,000 Feb$350,000 Mar$475,000 April$350,000 May$500,000 June$400,000 20% of sales are collected in the month of the sale, 75% are collected in the month following the sale, and 5% are written off as uncollectible. The cost o...
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Depreciation for tax purposes is also known as: A. MACRS. B. book depreciation. C. modified accelerated cost recovery system. D. all of these.
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Verify that the conclusion of Clairaut's Theorem holds (that is, that $u_{xy}=u_{yx}$) and then find $u_{xy}$ and $u_{yx}$. $$u(x,y)=\tan^{-1}(x^3y)$$
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Why does the aggregate demand curve slope downward? a. The LM curve has a negative slope. b. The MP curve is upward sloping. c. A rise in the price level decreases the demand for real balances. d. A reduction in the interest rate raises investment spending. e. The policy mix is biased toward an increase in governm...
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I'm doing the following integral numerically in Python but the result seems wrong: $$\int_0^{2\pi} e^{a\cos(t)}\cos(a\sin t+b)dt$$ I used the following Python code: from scipy import integrate import numpy as np a = 1.328 b = 0.25 result, error = integrate.quad(lambda t: np.exp(a*np.cos(t))*np.cos(a*np.sin(t)+b), 0, 2*...
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One year of experience is required for a particular job. A job applicant was employed full-time last year. Was he eligible to be considered for the particular job? (a) No, because full-time employment last year does not mean he has one year of experience. (b) Yes, because one year of full-time employment is equivalen...
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The data in the table is to be used to construct an S形 curve by the point-by-point method. The data must be ordered by cumulative percent, from {eq}100\% {/eq} to {eq}0\% {/eq} and then {eq}100\% {/eq} again. Which of the choices below is the data in the correct order? a. {eq}26,\ 28,\ 16,\ 11,\ 6,\ 1,\ 0 {/eq}. b. {...
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The price of a good or service is fixed. Output of the good or service could increase without the price increasing. This would most likely happen because: A. Price elasticity of demand is very elastic. B. Price elasticity of demand is very inelastic. C. Price elasticity of demand is unitary elastic. D. Price elasti...
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An investor purchases a 5%, 10 year government bond priced at par on January 1, 2011. He plans to hold the bond to maturity but in February 2013, three months after he purchased it, he decides to sell the bond. On the sale date, the investor pays 103. On what date (year and month) did the investor sell the bond? Assume...
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AccuBlade Castings Inc. uses a job-costing system in its factory. The company has provided the following data for the just completed year: Manufacturing overhead costs incurred in the Fabrication Department $260,000 Manufacturing overhead costs allocated to jobs in the Fabrication Department $265,800 Direct labor co...
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The comparative balance sheet of Trump, Inc. at December 31, 20Y9 and 20Y8 is as follows: December 31, 20Y9 December 31, 20Y8 Assets Cash$67,000.00 $55,000.00 Accounts receivable (net)89,000.00 84,000.00 Inventories259,000.00 220,000.00 Prepaid expenses3,600.00 2,700.00 Equipment368,000.00 293,000.00 Accumula...
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A large forklift costs $156,000 and is expected to have a 5-year life. If the scrap value at the end of its life is $11,000, then the estimated annual depreciation expense is _____.
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Angler Company incurred the following costs to produce 100,000 units of a subcomponent: Direct Materials $24,000 Direct Labor 28,000 Variable Overhead 12,000 Fixed overhead 9,000 An outside supplier has offered to sell Angler the subcomponent f...
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Determine the present value of the following cash flows using a 12% discount rate. 1. $1000 in year 1 2. $2000 in year 2 3. $3000 in year 3 4. $4000 in year 4
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The Bet-r-Bilt Company has a 5-year bond outstanding with a 4.20 percent coupon. Interest payments are paid semi-annually. The face amount of the bond is $1,000. This bond is currently selling for 91 percent of its face value. What is the company's pre-tax cost of debt? 6.3 percent 2.6 percent 10.4 percent 8.4 percent ...
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At 1000 K, Kp=1.15 for the reaction: 2SO3(g) --> 2SO2(g) + O2(g) .What is the value of Kc at 1000 K for the reaction? (R=0.0821 L atm/mol.K)
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A firm purchased, for cash, 8,000 shares of its $1 par value common stock at a price of $9 per share. The best statement of the journal entry to record this transaction is: A) debit Cash, $72,000; credit Common Stock, $72,000. B) debit Cash, $72,000; credit Common Stock, $8,000; credit Paid in Capital in Excess of Pa...
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The 5th, 8th, and 11th terms of a G.P. are p, q, and s, respectively. Show that q^2 = ps.
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Suppose labor costs $100,000 per week and material costs $150,000 per week. A tax cut of $5,000 per week would increase A. aggregate demand by less than $5,000. B. aggregate demand by more than $5,000. C. aggregate demand by $5,000. D. aggregate supply by less than $5,000. E. aggregate supply by more than $5,000.
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let $S= \{(x,y) | x^2 +y^2 >0 \}$ and let $$P(x,y) = \frac{y}{x^2+y^2} , Q(x,y) = \frac{-x}{x^2+y^2}$$ where $(x,y) \in S $. Let $C$ be a piecewise smooth Jordan curve lying in $S$ If $(0,0)$ is inside $C$ then find the line integral $\int_{C} Pdx + Qdy $
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What is the pH of a solution prepared by mixing 90.0 mL of 0.100 M HC{eq}_2 {/eq}H{eq}_3 {/eq}O{eq}_2 {/eq} with 145 mL of 0.580 M NaOH?
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Determine net income using the sales value at split-off approach if the joint cost is $66,000. Sales Value at Split-Off Cost to Process Further Sales Value after Further Processing Product X $73,500 $11,000 $90,000 Product Y 47,500 13,500 5...
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Is it possible that every analytic function on $\mathbb C$ is of exponential type and why/why not? Here, an analytic function is defined as a function that can be expressed in terms of a power series centered at a point $z \in \mathbb C$ whose convergence is inside some disk of radius $R$ ($0 \le R \le +\infty$), and t...
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Let $G$ be a group of order $600$. How many Sylow-$5$-subgroups does $G$ have?
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Cloud Manufacturing declared a 10% stock dividend when it had 700,000 shares of $3 par value common stock outstanding. The market price per common share was $12 per share when the dividend was declared. The entry to record this dividend declaration includes credit to: A. Stock Dividends for $210,000. B. Paid-in Capit...
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Pace Company signed a lease on January 1, 2017, that requires semiannual payments of $200,000 beginning on January 1, 2017. The lease is for 5 years. The present value of an annuity due at 12% per period for 5 periods is 4.11141. The present value of an ordinary annuity at 12% for 5 periods is 4.03735. The final paymen...
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Founders State Bank (FSB) was established in 1960. All deposits are insured by the Federal Deposit Insurance Corporation. The bank is in the midst of a recession in its area and has observed a steady decline in its consumer loan customers during the past two years. In an effort to improve performance and to minimize lo...
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Compute the flux of the vector field \vec{F} = y\vec{j} - 2x\vec{k} through the parameterized surface S oriented upward, where S is given, for {eq}0 \leq s \leq 4, 0 \leq t \leq 3{/eq} by x = 4s + 2t, y = 4s - 2t, z = s^2 - t^2.
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Nascar Motors assembles and sells motor vehicles and uses standard costing. Actual data referring to their sales and costs are as follows: Nascar DataApril 2014May 2014 Beginning inventory050 Production500450 Sales450470 Variable Costs Manufacturing cost per unit produced$11,500$11,500 Operating (marketing) cost per...
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Benson, Inc., currently has $100,000 in accounts receivable and $300,000 in accounts payable. After expanding sales by 20% next year and increasing inventory by $40,000, Benson's cash flow from operations is projected to be $60,000. Benson's fixed assets are $200,000 and its tax rate is 30%. What is the projected incre...
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Suppose that U.S. Treasury bonds with a {eq}5 \% {/eq} coupon rate (with annual coupons) and 20 years to maturity are yielding {eq}8 \% {/eq} in the market. What is the price of a {eq}\$1,000 {/eq} bond according to the bond valuation model?
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Suppose that the market price for a home is $100,000, the average price for a similar home sold this year is $100,000 and the average price for a similar home sold last year is $90,000. If we included new homes, such as model homes and foreclosed homes in the data, which of the following is most likely? a. The adjuste...
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What is the probability that you need to check at least 3 baskets to find the one with the gold? Assume that the probabilities of the baskets containing gold are $P(A_1)=.2$, $P(A_2)=.3$, and $P(A_3)=.5$. Also, assume that if one basket does not have gold, the probability of the next one does not depend on the previous...
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Where do Public Goods fail: a. When they create positive externalities b. When there are opportunity costs c. When they fail to create positive externalities d. When there are private costs e. When there are negative externalities
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Plush, Inc. owns no plant assets and currently has {eq}\$100,000 {/eq} of 8% bonds outstanding with 5 years to maturity. The company is considering buying back its bonds at maturity for {eq}\$100,000 {/eq}. The bond interest payments would be made by Plush's accountants. The purchase of the bonds at maturity would ha...
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What is the probability that X is 75 or more, given a normal population with a mean of 80.0 and a standard deviation of 14.0?
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Whittier Corporation's relevant range of production is 3,000 units to 10,000 units. The unit costs when it produces and sells 4,000 units are provided below. Amount Direct Materials $9.00 Direct Labor $11.00 Variable Manufacturing Overhead $1.50 ...
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Why would marketing departments use the four-component model rather than the five-component model when analyzing situations in which promotional strategies differ from marketing strategies?
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If the researcher rejects the null hypothesis in a two-tailed test at a 0.05 level of significance, what is the largest p-value that supports this decision?
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A newspaper article states that the proportion of the American public that believes in evolution is greater than 0.67. A group of science teachers believe this statement is incorrect and decide to investigate. They conduct a random sample of 65 adults and find that 47 of them believe in evolution. Assuming a 95% confid...
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A company issued both common and preferred stock for {eq}\$600,000 {/eq}. The par value of the common stock is {eq}\$25 {/eq}, and {eq}4,500 {/eq} shares of common stock were issued. The par value of the preferred is {eq}\$100 {/eq}, and {eq}6,000 {/eq} shares of preferred stock were issued. The fair market value ...
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You have the opportunity to buy an investment that pays 4,000 in year 1, 5,000 in year 2, and 6,000 in year 3, at a purchase price of 11,000. What is the internal rate of return (IRR) of this investment?
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X and Y are contesting in an election. 71% of the population supports X. The rest support Y. An X-supporter votes with probability 0.7, and a Y-supporter votes with probability 0.92. What is the probability of X's win?
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Jefferson Corporation issued 10-year, 12%, bonds payable in 2014 at a premium. The bonds pay interest semi-annually. During 2015, which of the following would be true? A. cash from financing activities would be greater than cash from investing activities. B. cash used for dividend payments would be equal to interest ...
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In 2016 and 2017, Racer Inc. earned revenues of $855,000 and $972,000, respectively, and incurred expenses of $600,000 and $650,000, respectively. In addition, in 2017, Racer received $30,000 of cash from a customer in settlement of a $30,000 account receivable. During 2017, Racer purchased a one-year insurance policy ...
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Dilwater Furniture purchased a corner lot in Pittsburgh five years ago at a cost of $820,000. The lot was recently appraised at $1,020,000. At the time of the purchase, the company spent $60,000 to grade the lot and another $110,000 to pave the lot for commuter parking. The company now wants to build a new retail store...
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Use the second part of the fundamental theorem to compute the integral exactly. {eq}\displaystyle \int^4_{1}\tan\frac{t}{2}dt{/eq}
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Let $C$ be the event that two fair dice fall with the sum of their faces equal to 7, and let $D$ be the event that the first die is a 3. Find $P(C|D)$.
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If a $1 tax per unit sold is imposed on the buyers rather than the sellers, the equilibrium price and the equilibrium quantity would not be affected. True or False.
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Assume the table below shows the quantities of bananas and pineapples that a plot of land can produce in a growing season in Columbia and the Philippines. Bananas Pineapples Columbia404 The Philippines2032 Suppose each country has 2,000 plots of land and consumes the following (per season) without trade from alloca...
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A company estimates that its customers will generate $65 million in accounts receivable credit sales during the year. The firm wants to implement a collection program that reduces default to 5% of sales and that the initial cost of the program is $1 million. What is the return on investment for the collection program?
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A firm has total fixed costs of $4000 and average variable costs of $3.5. What is the total cost to produce 1000 units of output? a. $7,000 b. $4,750 c. $3,500 d. $3,503.5
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Income recognized for financial reporting purposes $184,245,000. For tax purposes, when a lot is sold, income is recognized when collected. The tax rate was 44%. Now suppose the enacted tax law is revised, revising the tax rate from 44% to 38% beginning next year. Prepare the journal entry to record the effects of th...
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You are about to start to consider a batch of new capital budgeting projects. Before you begin, you need to estimate your company's Weighted-Average-Cost-of-Capital (WACC). The firm operates in the 34% marginal tax bracket. Calculate the WACC for the following class of liabilities: There are 8,430,000 shares of common...
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In its first month of operation, Sweet Acacia Industries purchased three inventory items: the first for $8, the second for $12, and the third for $14. At the end of the month, two units remained. Compute the amount of phantom profit that would result if the company used FIFO rather than LIFO.
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If the nominal GDP is $100 million in year 1 and $500 million in year 2, and if the GDP deflator is 100 in year 1 and 500 in year 2, then what is the real 2002 GDP in 2001 dollars? Show work.
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You purchase a bond with a coupon rate of 4.5% and a clean price of $872. If the next semiannual coupon payment is due in two months, what is the invoice price?
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A seller has agreed to sell a business to a buyer for a 3 million payment due two years after the contract is signed and a 5 million payment due four years later. No interest is indicated in the contract. The applicable federal rates are short-term 6%, mid-term 8%, and long-term 10%. What interest rate will be imputed ...
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The common stock for the Fresh Company pays an annual dividend of $2.10. This dividend is expected to increase by 3% annually. The market capitalization rate for this stock is 12%. I calculate the market price for this stock using the DDM formula to be $23.07. I plan to sell the stock after I receive the $2.45 dividend...
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Hally Corporation is considering replacing a technologically obsolete machine with a state-of-the-art numerically controlled machine. The following information is available: Purchase price of the new machine $450,000 Installation costs 30,000 Testing costs 18,000 Salvage va...
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Economists sometimes use a short-run production function given by Q = aL{eq}^b {/eq} , where Q is output, L is labor, and a and b are constants. Suppose that a = 5 and b = 1. (Note that when b = 1, this function is linear.) The last worker in this economy produces 60 units of output. The last unit of labor cost $2.50 ...
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Edward's Manufactured Homes purchased some machinery 2 years ago for $34,000. The assets are classified as 5-year property for MACRS. The company is replacing this machinery today with newer machines that utilize the latest in technology. The old machines are being sold for $15,000 to a foreign firm for use in its prod...
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The term "modernism" has come to be used synonymously with the term: a. perspectivism b. enlightenment c. postmodernism d. romanticism
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Company C has a new machine that has an estimated life of five years and a $5,000 residual value at the end of that life. Assuming an 8% interest rate, what is the present value of the estimated residual value?
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A bond makes an annual $80 interest payment ($800/10 years). The bond matures in 10 years. If the bond sells for $1,010.00, what is the bond's yield to maturity?
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How do I solve the following limit problem using L'Hopital's rule: $\lim _{x \rightarrow 0}\left(\frac{\sin x}{x}\right)^{1 / x^{2}}$, where I have expressed the function as $f(x)=\lim _{x \rightarrow 0} e^{\frac{1}{x^{2}} \ln \left(\frac{\sin x}{x}\right)}$?
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Accounts payable on the balance sheet usually represent trade credit extended to suppliers. There is generally a time period of 30 to 60 days allowed for payment of these notes. This statement is: A) True B) False
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ACME Company purchases for resale 1,000 widgets for $64 each. At year-end, the replacement cost is $63 per widget, the estimated selling price is $68 per widget, the disposal cost is $7 per widget, and the estimated markup is $10 per widget. If ACME uses LCM costing by item, at what amount will the widgets be reported ...
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This year there were 135,000 shares of a public limited company issued and in issue. The figures for the current year show gross profit of $21,652,000 and net profit after tax of $8,897,200. There were no changes in the number of shares during the year. Calculate earnings per share and return on capital employed. a) ...
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Let $C$ be the positively oriented circle centered at the origin with radius $9$. Use Green's Theorem to evaluate the line integral $$\oint_C 2y^3\text{d}x-2x^3\text{d}y.$$
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Information on Test Company's sales revenue and expenses for 2012 and 2013 is as follows: 2012 2013 Sales revenue $118,000 $130,000 Cost of goods sold 62,500 68,500 Gross margin 55,500 61,500 Salaries expense 20,500 2...
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Vega Company's relevant range of production is 1,500 units to 10,000 units. The unit costs when it produces and sells 3,500 units are provided in the table. If 4,200 units are produced, what are the total amounts of direct manufacturing cost incurred to support this level of production? Direct materials ...
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Sam promises to pay Sandy $2,000 in four years and another $3,000 four years later for a loan of $2,000 from Sandy today. What is the interest rate that Sandy is getting? Interest is compounded monthly. A. 14.75% B. 16.72% C. 15.10% D. 18.08%
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Company B's projected sales for the first six months of 2017 are given below: January $300,000 February$350,000 March $475,000 April $350,000 May $500,000 June $400,000 Sales are collected as follows: 20% in the month of the sale, 75% in the month following the sale, and 5% are written off as uncollectible. The cost ...
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A company has 500 bonds outstanding with a par value of $1,000. The annual interest is 7% and the bonds mature in 20 years. The market rate of interest is currently 8%. What is the dollar value of these bonds in the capital structure?
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The Acme Advertising Company is working on a campaign for Pepsi-Cola in which they have decided to apply elasticities to find the optimal level of advertising. Their research indicates that the own-price elasticity of demand for Pepsi-Cola is -2.5 and that the advertising elasticity of demand is 0.13. What is the optim...
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A manufactured product has the following information for June. Units Product Costs Work in process inventory, June 1 25,000 $582,000 Units started during June 84,000 Direct materials - $3.00 Direct labor - ...
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A vertical conducting bar forms a complete rectangular loop with the conductor it is sliding on. The vertical bar is moving to the right at a constant speed in a region with a uniform external magnetic field. Points A and B are the same distance on each side from the sliding bar. Three students make the following state...
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A $1,000 par bond with a 7.875% coupon has 19.5 years to maturity and is selling for $1,012.97. What is the yield to maturity (YTM) on the bond?
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Evaluate the line integral {eq}\int_C f(x,y) \, ds {/eq}, where {eq}f(x,y) = \frac{y}{x^2 + y^2} {/eq} and {eq}C {/eq} is the top half of the unit circle, starting at (-1,0) and moving clockwise.
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Given $U \sim N(0, 1)$ and $Z \sim N(U, 1)$, find the expected value $E(Z)$.
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Find the equation of an ellipse through the points (-2,4) and (3,1)
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Crane Company bought a machine on January 1, 2012, for $849,000. The machine had an expected life of 20 years and was expected to have a salvage value of $91,000. On July 1, 2022, the company reviewed the potential of the machine and determined that its future net cash flows totaled $434,000 and its fair value was $301...
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Solve for the unknown number of years in the following: Present Value: $2,000 Interest Rate: 10% Future Value: $5,600
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What is the tax on the sale of the machinery at the end of six years, given the following information: initial investment in machinery is $51,000, net working capital is $3,000, machines have an eight-year life and fall into the seven-year MACRS category (65% first-year depreciation, 12% second-year depreciation, 7% th...
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Use the following information for questions 1-4. Zong Securities is an Australian-based brokerage firm that deals with primarily Australian investors. Its income statement for the year ended 30 June, 2011, showed a net profit after tax of $25,000. The following information was extracted from the company's accounting r...
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Salvador Company has decided to use a job-order cost system to collect manufacturing costs. The system will use direct materials used and direct labor-hours as the bases for assigning overhead to production. All production costs will be charged to work in process and the predetermined overhead rate will be adjusted at...
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