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How much would an Earth observer measure for the speed of an ant on the surface of a spinning Earth (which rotates about its axis with a period of 24 h) at a latitude of 45 degree? (Assume the ant stays on the ground and does not fly.) a) 465 m/s b) 233 m/s c) 285 m/s d) 357 m/s e) 301 m/s
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Gunn Company makes two products in a single facility. These products have costs: Product A Product B Variable manufacturing costs$28.20$20.70 Fixed manufacturing overhead$24.90$19.50 Unit product cost$53.10$40.20 Additional data concerning these products are listed below: Product ASelling price per unit$68.90$65....
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Suppose that the current balance of trade is zero and that the price of a domestic good goes up relative to that of an identical good produced in a foreign country. As a result of the price increase, according to the given table below, the quantity demanded of the foreign-made goods (X2) _____, and the quantity demande...
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Consider that there is a semistrong form of efficiency in the markets. A pharmaceutical company announces that it has received FDA approval for a new allergy drug that completely prevents hay fever. The consensus analyst forecast for the company's earnings per share (EPS) is $4.50, but insiders know that, with this new...
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You are asked to prepare the income statement for a company based on the following financial data: sales $400,000; cost of goods sold$150,000; selling, general and administrative expenses $50,000; taxes $30,000; depreciation expenses $20,000; and inventory increase $5,000. What is the company's net income? A. $150,00...
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Compute the duration of a $1,000, 6% coupon bond with three years to maturity. Assume that all market interest rates are 7%. Show work.
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Consider a charge q, placed at each of the corners of a cube of side length s. Show that the magnitude of the electric field at the center of any face of the cube has a value of 2.18 kq/s{eq}^2 {/eq}.
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A person is exposed to a flux of 0.560 mR/h of {eq}\gamma {/eq} rays. How many {eq}\gamma {/eq} rays of energy 0.570 MeV are absorbed per second by a 65.0 kg person?
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Let G be a group. If G has no proper non-trivial subgroups, what is the order of G?
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A firm has $200,000 in a bank account and a truck with a fair market value of $60,000 and an undistorted book value of $30,000. It also has customers on the accounts receivable that total $40,000. The company's net income is $25,000 and its expenses, other than the interest paid on the bank account, total $150,000. Wha...
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Assume that all inflation effects and interest rate effects can be approximated using the exact formulas for continuous compounding and that all bonds have a face value of $100. All securities are assumed to have the same effective maturity. You are comparing two bonds: one is a 2-year zero-coupon bond and the other i...
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K Corp has 20,000 shares of common stock outstanding at a price of $10 a share. It also has 6,000 shares of preferred stock outstanding at a price of $25 a share. There are 1,000 bonds outstanding that have a 7.5% semiannual coupon. The bonds mature in 6 years, have a face value of $1,000, and sell at 108% of par. What...
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Dilwater Furniture purchased a corner lot in Pittsburgh five years ago at a cost of $1,050,000. The lot was recently appraised at $1,270,000. At the time of the purchase, the company spent $90,000 to grade the lot and another $110,000 to pave the lot for commuter parking. The company now wants to build a new retail sto...
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Find the derivative of the function $F(x) = \int_2^{x^4} \sin t^2 dt$.
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Let R be the region bounded by y=4x and y=2x^2. Use the change of variables s=y-x, t=y+x to evaluate the integral {eq}\iint_R \frac{y-x}{y+x} \,dA{/eq}.
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An 8 percent coupon, $1000 face value bond has a 5 year life and a yield to maturity of 7.5 percent. The market price of the bond is _____? a. $1075.80 b. $926.40 c. $1021.37 d. $975.90
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Solve the equation below in terms of z and then find the roots for the given equation: {eq}z^3 - (3 + 4i)z^2 + (8 - 5i)z - (12i - 32) = 0{/eq} {eq}z = 4{/eq}
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Use the information below to calculate the value of the independent samples t-statistic. Round to two decimal places. Women Weekly Hours Worked Range 59 Minimum value 11 Maximum value 70 Mean 37.28 Variance 142.88 Standard deviation 11.95 Sum 2013 Number of observations 54 Men Weekly Hours Worked Range 60 Minimum val...
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As soon as he graduated with an engineering degree and started working, John bought a car for $40,000. A down payment of $10,000 was paid by his dad as a graduation gift. The rest of the amount was financed with Generous Motors at 3% nominal interest rate. If John starts his first payment at the end of 13th month and...
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What is the source of the tension between equity and efficiency? a. tax rates on the wealthy are lower than marginal rates for lower income workers. b. free markets produce too little of goods and services that make people healthy and long life. c. free markets produce too much of public goods that make people healt...
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Under the terms of an interest rate swap, CAT Financial has agreed to receive 12% per annum and to pay three-month LIBOR in return on a notional principal of $100 million with payments being exchanged every three months. The swap has a remaining life of 6 months. The three-month LIBOR is 13% per annum for all maturitie...
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Determine the pH when 10.0 mL of 0.100 M NaOH is added to 20.0 mL of 0.25 M HCl.
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The demand for a product is more elastic the: A. more broadly defined the product. B. higher the price of the product is. C. less substitutes available for that product. D. smaller the share of a consumer's income the item represents. E. none of the above.
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A manager at City Sounds, a local record store, is forecasting sales for 2011 using the trend projection method. He has gathered sales data for the last 4 years. Using this data, he has developed the following regression equation: Y = 6.3 + 0.7t. What is the projection for 2011 if t = 1 for 2007? a. 2.8 b. 3.5 c. 6....
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Find the remainder term $R_{n}(x)$ for the Taylor series expansion of $\frac{1}{x}$ centered at $a = 1$ and determine the smallest value of $n$ such that $\left|R_{n}(x)\right| \leq 10^{-5}$ for $0.8 \leq x \leq 1.2$.
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In a free-expansion process, the internal energy of an ideal gas A) increases B) decreases C) remains constant D) changes, but not enough information is given to decide the change.
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A small bar of length 100 cm has a mass of 500 g. Its center of gravity is at 40 cm from one end. The bar is held horizontal and then released. Find the period of oscillation.
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Sweet Acacia Manufacturing uses a job-order costing system. During the last period, direct labor costs totaled $180,000, based on 4,000 hours at $45 per hour, and actual overhead costs for the period totaled $300,000. The allocation base for overhead was direct labor hours. The inventory value of the completed product...
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A company has two products: A and B. They are currently producing 3,000 units of product A and 1,000 units of product B. The company currently has the capacity to produce 15,000 units per month. It can produce either 200 more units of product A or 500 more units of product B each month. If the sales price for product A...
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How can the cost-plus pricing formula be used when prices are to be kept stable over a period of time? A) Using estimated data. B) Using target return information. C) Using budgeted data. D) Using historical data.
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Use the table below for this problem. Trial[A] [B]Rate 10.20.20.062 20.20.40.248 30.60.20.113 What is the rate law for the reaction A + B → C + D?
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Find the present value of $500 due in the future under the following conditions: r=6%, N=3 years. PV=$441.81 $428.70 $485.00 $468.14 $495.00
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Suppose the interest rate on a 10-year bond is 5.00% and the market interest rate for a similar type of 10-year bond is 7.00%. These bonds have the same amount of default and liquidity risks. What is the inflation premium on the bond? a. 2.00% b. 2.50% c. 3.00% d. 3.50% e. Cannot be determined from the information...
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ABC Corporation produces microwave units. The following per unit cost information is available: Direct materials$38 Direct labor$23 Variable manufacturing overhead$12 Fixed manufacturing overhead$39 Variable selling and administrative expenses$10 Fixed selling and administrative expenses$23 Its desired ROI per unit i...
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Suppose that the Fed buys government bonds from the public and that the public holds no excess reserves. Further, suppose that the public chooses to hold 100 percent of its demand for money in the form of currency. If the amount of currency in circulation increases by $1,000, we can conclude that: a. real GDP will inc...
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How do I integrate $\dfrac{z^3}{z^6-1}$ on the unit circle $|z|=1$, counter-clockwise?
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Todrick Company is considering the purchase of new manufacturing equipment that will cost $165,000 (including shipping and installation) and have an estimated useful life of five years. The loan agreement requires 4 equal annual payments beginning immediately. (Assume that the annual payments will include interest.) Th...
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Determine the market price of a $1,000 denomination bond with a 9% coupon rate maturing in 20 years for an investor whose required rate of return is 8%.
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A 4.77 g sample of a weak acid with a molar mass of 88.0 g/mol requires 25.5 mL of 0.100 M NaOH for titration to the equivalence point. What is the pH at the equivalence point?
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A chemical company can produce Q units of a chemical H with marginal costs of MC = 9 + Q and can distribute the chemical at marketing marginal costs of MC = 1. The demand for H is given by P = 30 - 1.5Q. If an external market exists where H can be bought or sold without marketing expenses for $13, how much H should the...
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Use the Fundamental Theorem of Line Integrals to evaluate {eq}\displaystyle \int_C \nabla (x^2y) \cdot dr{/eq}, where {eq}C{/eq} is any smooth curve from {eq}(1,1){/eq} to {eq}(4,2){/eq}.
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Which of the following options is correct? An open market operation decreases the money supply when the Federal Reserve a. sells bonds to banks, which increases bank reserves. b. buys bonds from banks, which increases bank reserves. c. buys bonds from banks, which decreases bank reserves.
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How can I prove $\prod\limits_{n=1}^\infty \tanh\frac {z}{2^n}=\frac {\pi z} {\sinh\pi z}$ for complex number $z$?
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Let S be the part of the surface z = xy, where 1 ≤ x ≤ 3, 1 ≤ y ≤ 5, and let F(x, y, z) = xi + yj + zk. Compute {eq}\iint_S F \cdot NdS{/eq} where N is the unit normal vector to the surface that points in the direction of the positive z-axis.
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When discharging accounts payable to a supplier, the creditor should: A. credit its accounts payable. B. debit its accounts payable. C. credit its purchase discounts. D. debit its purchase discounts.
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Taggart Transcontinental currently has a bank loan outstanding that requires it to make three annual payments at the end of the next three years of $1,000,000 each. The bank has offered to allow Taggart Transcontinental to skip making the next two payments in lieu of making one large payment at the end of the loan's te...
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A seller's agent is to advise their seller in times of weak or weakening pricing power to: a) avoid agreeing to a ceiling on the buyer's liability. b) request only a very small deposit from the buyer. c) Both a and b. d) Neither a nor b.
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Lessa Manufacturing has provided the following information for the year 20xx: Direct material used $39,000 Direct labor $22,500 Variable manufacturing overhead $12,600 Actual total manufacturing overhead $31,500 Total fixed manufacturing overhead $46,800 Allocated fixed manufacturing overhead $45,000 The total alloca...
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G Corporation began the year with retained earnings of $5,400,000 and net income of $680,000. They declared and paid out cash dividends of $200,000. They also declared and issued a stock dividend of $100,000. What are the ending retained earnings?
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S Corporation was organized on January 2, 2015, and began operating on January 3, 2015. It made the following purchases of inventory during 2015: - January 5, 2015 - 65 units at $55 each - March 19, 2015 - 120 units at $60 each - July 6, 2015 - 90 units at $65 each - November 10, 2015 - 120 units at $70 each A phy...
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The length of a side of a regular hexagon is 16 cm. How long is the diagonal that is twice the length of the side?
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Consider an asset that costs $437,300 and is depreciated straight-line to zero over its eight-year tax life. The asset is to be used in a five-year project; at the end of the project, the asset can be sold for $61,900. If the relevant tax rate is 34%, what is the aftertax cash flow from the sale of this asset?
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Cellular Talk Company manufactures cell phones. During 2012, the company recorded the following costs: a. Purchased raw materials on the account, $110,000 b. Raw materials were requisitioned from the storeroom for use in production, $96,000 c. Direct labor cost accrued, $36,000 d. Period costs were incurred, $270,0...
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Stango and Weatherall have invested in stocks M and N. M has a beta of 1.32 and N has a beta of 0.84. M's standard deviation of returns is 15 percent, while N's standard deviation of returns is 13 percent. The returns on the two stocks are positively but not perfectly correlated. M and N are included in an equally weig...
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The current section expense of Sweet Acacia's balance sheets at December 31, 2016, and 2017, are presented here. Sweet Acacia's net income for 2017 was {eq}\$139,450 {/eq}. Depreciation expense was {eq}\$17,000 {/eq}. 2017 2016 Current assets Cash {eq}\$90,900 {/eq} {eq}\$76,200 {/eq} Accounts receivable {eq}1...
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Gardner Company had the following activities in 2012: Net income$180,000 Depreciation expense$40,000 Decrease in accounts receivable$20,000 Increase in accounts payable$15,000 Amortization of patent$3,000 Increase in inventory$1,500 Dividends paid$24,000 Increase in accounts payable is related to inventory purchases....
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A force {eq}F = -k(y \hat{i} + x \hat{j}) {/eq} where {eq}k {/eq} is a positive constant acts on a particle moving in an xy plane. Starting from the origin the particle is taken along the positive x axis to the point (a,0) and then parallel to y axis to the point (a,a). Find the total work done by the force F on the...
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I have to find the right answer from the following choices: (A) Less than 4% (B) 4% (C) 8% (D) More than 8% Given: Below is the table of cash flows for a project: YearCash Flow 0-$10,000 1$2,500 2$3,500 3$4,500 4$5,500 My work is: 4,500(1+R)^-3+5,500(1+R)^-4=6,000
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Suppose that prices have already anticipated an increase in the money supply. If the Fed does increase the money supply, this will lead to: a. movement along the demand curve for goods and services, with no shift of the demand curve. b. a shift of the demand curve to the left. c. a shift of the demand curve to the r...
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Adams Company experienced an accounting event that resulted in the following journal entries: 3/51800 Cash Accounts Receivable Sales 6/51500 Accounts Payable Purchases Returns and Allowances What accounting event did Adams Company experience? a. Exercised a customer purchase return. b. Sold merchandise. c...
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The currency market today is known as _____. A) the supply and demand market B) the purchasing power market C) the exchange rate market D) the foreign exchange market
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You deposit $1,000,000 in a bank account and withdraw $500 at the end of each year. The account pays 4 percent annual interest. How long will it take to accumulate $10,000,000 in the bank?
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What are the long-run effects of a permanent increase in the real money supply in the AD-AS model, especially if there is an increase in expected inflation in the short run?
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For the {eq}2*4*8 {/eq} Unfused Fused Factorial Designs how many main effects and interactions are there?
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The Fed _____ if it expects a sharp rise in the price level and a relatively low rate of unemployment. A) decreases interest rates B) increases interest rates C) buys government bonds D) sells government bonds
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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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The management of Fannin Corporation is considering dropping product H58S. Data from the company's accounting system appear below: Sales $745,000 Variable expenses $293,000 Fixed manufacturing expenses $277,000 Fixed selling and administrative expense...
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The After-Tax Cost of Debt for a firm is: a) the interest rate on new debt issues b) the coupon rate on existing debt c) the interest rate on new debt issues, adjusted for taxes d) the interest rate on new debt issues, adjusted for risk
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Suppose that the production function for a product is {eq}f(x,y) = 8x^{1/2}y^{1/4} {/eq}. In this formula, x and y represent the quantities of the two factors of production. If the company has $40,000 to spend on production and the factors cost $25 and $5, respectively, find the quantities of factors x and y to maxim...
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When did the gas stations I drive by start selling only gas and not ice cream, and why do I not see ice cream truck windows any more? (Assuming we are still on the ice cream truck question.) I remember that I once saw an entire road in rural Oklahoma that was lined with ice cream truck windows. Now I see a few here and...
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Find the maximum value of the function f(x, y) = 4x^2 - 2xy + 6y^2 - 2x + 2y.
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Gardner Electric has a bond outstanding that matures in 19 years and pays an 8.5 percent coupon. The bond pays interest semiannually. The bond has a par value of $1,000 and a market price of $1,123.62. Interest is paid semiannually. What is the yield to maturity? a. 9.16% b. 7.84% c. 9.35% d. 8.00%
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James Company purchased 'direct materials' from UCD Steel. The invoice price was $360,000. The purchaser also incurred storage costs of $6,000 to store the materials after they were purchased. Assuming the James Company subsequently used all these materials in production, the correct direct materials cost is: a) $366,...
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Given the market demand {eq}Q_D=30-P {/eq}, and market supply {eq}Q_S=2P+10 {/eq}, then external cost is {eq}1.5P {/eq}. If the government wants to use a per-unit tax on suppliers to achieve the social optimum, then the government tax per unit must be?
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Assume that the real risk-free rate is 2.00%, the average expected future inflation rate is 2.40%, and a maturity risk premium of 0.10% per year to maturity applies, i.e., MRP = 0.10%(t), where t is the number of years to maturity. Which of the following statements is CORRECT? a. The yield on 2-year Treasury securitie...
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Seamus, Inc., paid its delivery company $12,000 to make the following deliveries: damaged merchandise sold to customers, damaged merchandise in transit to customers, damaged merchandise in transit from suppliers, and non-damaged merchandise in transit from suppliers. Seamus deducted the entire $12,000 as a business exp...
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Assume both portfolios A and B are well diversified, that E(rA) = 21 % and E(rB) = 17%. If the economy has only one factor, and A = 1.9, B = 1.4 the risk-free rate is a) 3.5% b) 4.05% c) 4.15% d) 12.5%
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A 5 kg thin, round rod of radius 0.07 m has a 3.2 kg metal disk attached to one end. The disk has a diameter of 0.65 m and is entirely wrapped around the rod. Calculate the moment of inertia of this system.
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Suppose the Tasmanian state government is considering imposing additional taxes on cigarettes to curb health related problems. Assume there is no interstate trade of cigarettes. You have been hired by the state government to provide some analysis of the proposed policy. a) Previous studies indicate that the price elas...
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How does the firm maximize profits? (Assume for now that the firm has market power) A) set marginal revenue equal to marginal cost and produce the corresponding quantity B) produce a quantity of output where marginal revenue equals the market price C) set the quantity of output where marginal cost is equal to zero a...
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On March 1, 2014, Adams Industries issues its $850,000 par value of 5%, 10-year bonds. The bonds sold for $979,138 and pay interest semiannually on August 31 and February 28. On October 31, 2014, Adams retires this bond issue at 102. The entry to record the redemption will include a debit to: a) Unearned Bond Interes...
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In 2010, the gross domestic product (GDP) of the United States was about $14.9 trillion. Assuming a normal distribution with a mean of 2008 and a standard deviation of 2.7 trillion dollars, what percentage of years did the GDP exceed $15.7 trillion? (Round the answers to two decimal places.)
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Assume the demand function for a certain commodity is {eq}\displaystyle q = 125 + 20 p + 5p^2\ where\ p\ is\ in\ dollars and {eq}q is the number of units. If the equilibrium price is $3 per unit, what is the equilibrium quantity? (Round the answer to the nearest whole number.)
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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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For each firm in the industry, the long-run cost of producing $y$ units of output is $c(y)=100+y^2$ if $y>0$ and $c(0)=0$. The government imposes a quantity tax of $2 per unit of production on each firm. Firms can avoid this tax only by going out of business. There is free entry and exit into this industry. In the long...
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Weatherall Enterprises has no debt or preferred stock - it is an all-equity firm and has a beta of 2.0. The chief financial officer is evaluating a project with an expected return of 14%, before any risk adjustments. The risk-free rate is 5%, and the market risk premium is 4%. The project being evaluated is riskier tha...
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For a continuous random variable with pdf f(x) = kx^2 for 0 < x < 3, calculate E(X), where E(X) is the expected value of X.
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A study of 30 business students revealed that their mean score on an aptitude test was 400 and the standard deviation was 10. What is the standard error of the mean?
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It is now January 1, 2010, and you are considering the purchase of an investment that will pay you $12,000 per year at the end of Years 1 through 5 (Years 1 through 5). What is the most you would pay for this investment if your opportunity cost is 13%? a. $45,612.41 b. $24,000 c. $32,030.42 d. $36,874.78 e. $30,8...
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A large sample confidence interval for {eq}\mu {/eq} based on {eq}n = 34{/eq} observations from a population with variance {eq}\sigma^2 = 6.3{/eq} is {eq}(13.908, 16.292).{/eq} Find the margin of error and the confidence level for this interval.
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If the current market price of a firm's stock is in equilibrium, which of the following is true? A) The firm's current dividend yield equals the required rate of return. B) The firm's expected growth rate is the same as the market's required rate of return. C) The firm's dividend yield is zero. D) The firm's market...
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$$\int_{|z|=1}\frac{\sin(z^{2})}{z^{4}-1} dz$$ I've done several question like this one but I'm always missing something. I see that $z^{4}-1=(z+1)(z-1)(z+i)(z-i)$ So the poles are $z=\{1,-1,i,-i\}$. One of them is inside the contour. So I did the following $$\int_{|z|=1}\frac{\sin(z^{2})}{z^{4}-1} dz=\int_{|z|=1}\frac...
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Beasley Company acquired 70% of Donovan Company for $600,000 on January 1, 2012. Donovan reported common stock of $400,000 and retained earnings of $310,000 on that date. Equipment was undervalued by $40,000 and buildings were undervalued by $50,000. Each having a 10-year remaining life. Any excess consideration transf...
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Determine the number of years (N) for which 600,000 dollars is needed to fund an annual benefit of 180,000 dollars, assuming an interest rate (i) of 9%. Round "N" to the nearest whole number.
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The 2014 balance sheets of Kerber's Tennis Shop, Inc., showed $650,000 in the common stock account and $3.1 million in the additional paid-in surplus account. The 2015 balance sheets showed $700,000 and $3.6 million in the same two accounts, respectively. If the company paid out $600,000 in cash dividends during 2015, ...
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Ben Grahm plans to borrow $10,000 for 2 years at an interest rate of 8 percent per year compounded annually. If he makes annual interest payments of $800, the total amount of interest paid at the end of year 2 will be _____.
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Suppose that U is uniformly distributed on the unit circle. Determine the distribution of Y = X^2 (i.e., find the c.d.f. and density of Y).
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The country of Aquilonia has a tax system identical to that of Canada. Suppose someone in Aquilonia bought a parcel of land for $10,000 in 1960 when the price index equaled 100. In 2002, the person sold the land for $100,000, and the price index equaled 500. If the person must pay 20 percent of any capital gain in taxe...
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Why is $$\sqrt{n^2} = |n|$$ and not $n$, especially since in a limit like $\lim\limits_{n \to \infty}\dfrac{n}{\sqrt{n^2}}$ it equals 1, even though the answers section says the final answer is 1?
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As the next steps to the creation of a staffing plan, based on the analysis of the current staffing needs, the manager must: a) prepare a short list of preferred job applicants and establish an evaluation criteria. b) review job descriptions and justify the job analysis process. c) revise job descriptions and evalua...
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