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Victoria Enterprises has $1.6 million of accounts receivable. The company's DSO is 40, its current assets are $2.5 million, and its current ratio is 1.5. The company plans to reduce its DSO to the industry average of 30 without causing a decline in sales. The freed-up cash will be used to reduce current liabilities....
E
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I have to show that $n^2\leq 3^n$ for $n\geq 2$, $n\in\mathbb{N}$, with mathematical induction. What I did was show that the claim was true for $n=2$, and then assume that it is true for $n=k$ and show that it is true for $n=k+1$. $$n^2\leq 3^n$$ $$(k+1)^2\leq 3^{k+1}$$ I then did: $$(k^2+2k+1)\leq 3\cdot3^k$$ $$k^2+2k...
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Use this information about Department L to answer the question that follows. Department L had 2,240 units 20% completed at the beginning of the period, 14,200 units were completed during the period, 1,600 units were 20% completed at the end of the period, and the following manufacturing costs were debited to the depart...
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Straight Company has the following information for the month of March: Units in beginning work in process inventory 0 Units completed and transferred out 15,000 Units in ending work in process inventory 2,000 Percent complete with respect to conversion 40% If the c...
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Inventory carrying cost of cell phone components is most likely to be considered in the context of a decision concerning a choice between: A. make or buy. B. continue or discontinue a product. C. sell as is or process further.
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Arlington Company is constructing a building. Construction began on January 1 and was completed on December 31 of 2016. Total costs/expenditures were $4,800,000 on March 1, $3,000,000 on June 1, and $6,000,000 on December 31. Arlington Company borrowed $2,400,000 on January 1 on a 5-year, 12% note to specifically help ...
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What is the net present value of a project that requires a net investment of $65,000 and produces net cash flows of $19,000 per year for 7 years? Assume the cost of capital is 15%. a. 20,047 b. 15,520 c. 19,000 d. 14,048
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A fair coin is flipped 100 times. Let Y be the number of flips that come up heads. Let X be the number of times the sequence "tails-heads-heads" occurs in the 100 flips (note that the sequence must appear as a sequence of three consecutive flips in a row). Compute Cov(Y,X). You may leave your answer as a summation.
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Kinder Company has these comparative balance sheet data: Kinder Company Balance Sheets December 31 2014 2013 Cash $32,355 $64,710 Accounts receivable (net) $150,990 $129,420 Inventory $129,420 $107,850 Plant assets (net) ...
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Intangible assets should: a. be amortized. b. be reported separately on the balance sheet. c. be tested for impairment. d. be amortized over the asset's estimated life.
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Find the maximum of $f(x, y, z)=2 x^{2}+y^{2}-z^{2}+8 x y-4 z$ along the curve of intersection of $x-y=0$ and $x^{2}+y^{2}-z^{2}=4$.
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Miriam gifted property to her brother Aaron on January 25, 2016 at which time it had a fair market value of $90,000. Miriam acquired the property in 1966 and had an adjusted basis in the property of $40,000. What amount of gain/(loss) should Aaron recognize assuming he sold the property for $80,000 on 6/20/16? a. $40...
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Helium is to be compressed from 120 kPA and 280 K to 700 kPa and 440 K. A heat loss of 20 kJ/kg occurs during the compression process. Neglecting kinetic energy changes, determine the power input required for a mass flow rate of 85 kg/min. Round your answer to the nearest integer.
1205 kW
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Find the sum of the convergent series by using a well known function. $$\sum_{n=1}^\infty \frac{(-3)^{n-1}}{n}$$
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Assume the demand for labor is downward sloping and the supply of labor is upward sloping, along with an increasing marginal product of labor. Which of the following is true about a minimum wage above the equilibrium wage? A. TS will ↓.; GS may ↑ or ↓. B. TS will ↓.; GS will &dow...
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Consider the titration of 50.0 mL of 0.20 M ammonia with 0.10 M HCl. Calculate the pH after 50.0 mL of HCl has been added.
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How can I calculate the median of a shifted exponential distribution? Given that $X$ is a random variable with an exponential distribution with parameter $\lambda$, and $Y = X - a$ for some constant $a > 0$, how do I find $\mathrm{Median}(Y)$?
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An electron is accelerated through an electric potential to a kinetic energy of 3.24 keV. Part A What is its characteristic wavelength?
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A production quota set below the equilibrium quantity creates A. a decrease in supply. B. a decrease in marginal cost. C. a rise in price. D. inefficient underproduction. E. all of the above
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The materials cost variance on the following operation is: Units Cost Goods in Process Inventory 22,000 $3.60 per unit Direct materials 22,000 $4.05 per unit Goods in Process Inventory 19,000 $4.15 per unit A. $10,750 favorable....
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Which of the following statements is correct? a. Cash held by a company increases the company's ROE. b. Cash is sometimes referred to as a "fourth financial statement" because it is used to summarize the impact of changes in the balance of accounts receivable, accounts payable, and inventories. c. Cash is the only f...
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Use the approximation {eq}\cos x \approx 1 - \frac{x^2}{2} + \frac{x^4}{24} {/eq} to approximate the integral {eq}\int^{0.75}_{-0.75}\cos(1 + x^3) dx {/eq}.
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If an HGP reaction converts 1 mol of 23C along with 2 mol of ATP and 2 mol of pyrophosphate to 3 mol of 10C, how many mol of ATP and/or pyrophosphate are required per mol of 23C added to an HGP reaction? Is the answer 3 mol of ATP and 2 mol of pyrophosphate per 1 mol of 23C added?
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What stage of a team is usually slow to develop and occurs when the team begins to focus strongly on the assigned task and away from team-development issues? a. norming b. storming c. performing d. adjourning e. unifying
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Merton Enterprises has bonds are on the market making annual payments, with 16 years to maturity, and selling for $968. At this price, the bonds yield 8 percent. What must the coupon rate on Merton's bonds be?
7.64%
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Paco bought a car for $25,000. He paid $5,000 for the car at the time of purchase. He financed the rest through a credit union with 5% interest. The loan was structured as a 36-month loan with 3 equal monthly payments. At the time of the purchase, he signed up for extended warranties which cost $10,000 but were guarant...
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Which of the following is a requirement for swift trust? A) The manager must let the team members eliminate misunderstandings among themselves. B) The manager must have significant cultural knowledge and sensitivity to handle the virtual team. C) Team members must know each other's faiths before starting a project. ...
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A firm is currently employing 20 workers and paying each worker $18 per hour. If it hires a 21st worker, it must pay that worker $20 per hour. The marginal product of the 20th worker is 6, and the marginal product of the 21st worker is 5. The firm A. should hire the 21st worker because the marginal product of labor i...
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Find the horizon value of a stock with a constant growth rate of 4.7%, a current dividend of $2.90 per share, and a required rate of return of 9.5%. Round the answer to two decimal places.
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Use the following information to answer this question. - Weight of common stock = 70% - Weight of preferred stock = 10% - Weight of debt = 20% - Beta of the common stock = 1.4 - Dividend of preferred stock = $2.00 - Interest rate on debt = 7% - Risk-free rate = 3% - Market risk premium = 6% - Tax rate = 25% The firm c...
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Find where the marginal cost is at a minimum, where x is output in thousands of dollars and x is between 0 and 50, given the cost function C(x) = 0.4490x - 0.01563x^2 + 0.000185x^3.
28.16
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The values for X and Y in the table below have been calculated using a constant growth dividend discount model. The required rate of return is 10% and the expected growth rate of dividends is 6%. A requirement for this problem is to explain whether or not the values for X and Y are likely to be found in the capital mar...
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A firm sells its product in a perfectly competitive market. The price of the product is $40 and the firm's marginal cost is given by MC(Q) = 3Q - 10. Determine the profit-maximizing level of output for the firm. a. 33.33 b. 50.00 c. 2.50 d. None of the above.
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A manufacturing company has a December 31, year-end adjusted trial balance as follows: Account title Debit Credit Merchandise Inventory$500,000 Property, plant and equipment (net) $800,000 Unearned revenue $5,000 Total liabilities $1,050,000 Common stock ($1 par value) $400,000 Paid-in capital in excess of par-commo...
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Grubman Corp stock currently sells for $77.31 per share. The market requires a 10.8% return. The company has total assets of $885,000 and total equity of $420,000. Earnings before interest and taxes (EBIT) are $72,000. What is the amount of the debt? A. $4,661 B. $520 C. $462,305 D. $457,682 E. $466,638
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Big Bubba, Inc., provided the following information at the end of the year: Retained earnings January 1, 2004$55,000 Net income200532,000 Dividends paid during 20050 What is the amount of retained earnings on the December 31, 2005 balance sheet?
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Find the flux over the surface {eq}z= \sqrt{x^2 + y^2} {/eq} cut off by z= 3 where the field F is given by {eq}F= \left \langle y, -x, z \right \rangle. {/eq}
18\pi
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Two circular loops of wire, each containing a single turn, have the same radius of 4.47 cm and a common center. The planes of the loops are perpendicular. Each carries a current of 1.19 A. What is the magnitude of the net magnetic field at the common center?
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Determine the least number of terms sufficient to obtain the sum of the series $$\cos{x} = 1 -\frac{x^{2}}{2!}+\frac{x^{4}}{4!}-\frac{x^{6}}{6!}+...\text{ to within an error no greater than 10^{-3}}$$ when x = 0.5.
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The stream function in cylindrical polar coordinates is given by: ψ(r, θ) = Ksin(θ) r^2, where K is a constant. Find the corresponding velocity potential.
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A bungee cord stretches uniformly from an original length of 3.0 m to a maximum length of 4.50 m as a 70.0 kg bungee jumper falls to 15.0 m below the bridge. What is the spring constant of the bungee cord?
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At the time of the sale, Microsoft assigned a carrying value of the equipment of $45,000. Under the agreement, ownership of the equipment will transfer to St. Paul when the equipment has been used for 5 years. Assuming the lease term is equal to 5 years and the equipment has an expected economic life of 5 years, the as...
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Where did I go wrong in finding the first 3 non-zero terms of the MacLaurin series for $y = 9\sec(3x)$ by manipulating the standard cosine series?
9+81x^2/2+1215x^4/8
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As of December 31, 2016, Warner Corporation reported the following: Dividends payable $39,000 Treasury stock 550,000 Paid-in capital share repurchase 39,000 Other paid-in capital accounts 6,100,000 Retained earnings 5,100,000 During 2017, half of the treasury stock was resold for $220,000; net income was $610,000; c...
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Find the closest point on the paraboloid z=x^2+y^2 from the point (3, -6, 4).
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You receive a box containing n resistors. All resistors except one have a value of 1 Ohm. All resistors look identical; you also have a very accurate and precise ohm meter. This is the only instrument you can use. What is the minimum number of measurements you need to guarantee the identity and value of the odd resisto...
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On January 1, 2016, Martinez company purchased $80,000 of 8% bond of simith corporations for 96. the bonds had a face value of $80,000 and interest is paid semiannually on June 30th and December 31st. The bonds were purchased to yield 10%. What is the carrying value of the bond investment on June 30, 2016? A. $75,42...
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Which one of the following statements concerning financing is correct? a. If you finance a purchase with stockholders equity, then you cannot have a negative equity balance. b. A statement of cash flows should tell a firm manager how much he has borrowed to finance a purchase. c. Firms must maintain a positive cash ...
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For an electron with a de Broglie wavelength of 2.5 nm, what is the kinetic energy (in eV)?
0.241 eV
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Assume the market value of equity is $1 billion and the market value of debt is $1.5 billion. What is the total asset value of the firm?
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A simple ideal Rankine cycle operates with the given parameters. The turbine power is 1300 kW, and the pump power is 40 kW. Calculate the heat transfer to the working fluid passing through the steam generator in kW.
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A decrease in the equilibrium quantity for a product will result a) When there is a decrease in demand and a decrease in the number of firms producing the product b) When there is an increase in supply and decrease in demand for the product c) When the quantity demanded for the product exceeds the quantity supplied ...
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I want to solve system of equations. let $A$ be $n\times n$ symmetric positive definite matrix and $b\in \mathbb{R}^n$. let $M$ be $n\times n$ symmetric positive definite matrix. I know that M is the final moment of inertia matrix of an object in 3D space. I solve the system of equations with matrix $A$ to get $x \in \...
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When the implied rate of return is equal to the contract rate of interest, the present value of the bond will be: a. less than face value b. equal to face value c. more than face value d. equal to the face value plus accrued interest
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If the beginning inventory for 2010 is overstated, the effects of this error on cost of goods sold for 2010, net income for 2010, and assets at December 31, 2011, respectively, are: a. overstatement, understatement, overstatement b. overstatement, understatement, no effect c. understatement, overstatement, overstate...
b
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I want to show that for a class of groups $G$ generated by $n$ elements $x_1,\dots,x_n$, and with the property that all $x_i^m=1$ for $m=2,3,5$, it must be that $|G|=1$. How can I deduce that for all $p\in\mathbb{N}$, $x_1\cdots x_n^p=1$, given that $x_1\cdots x_n\in\langle x_1^2\rangle\langle x_2^2\rangle\cdots\langle...
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I am trying to find $E[(X_i - \bar X)^3]$ where $\bar X = (1/n) \sum_{i = 1}^n X_i$. I have shown $E[(X_i - \bar X)^2] = \text{Var}(X_i) = \sigma^2$. I started with $E[(X_i - \bar X)^3] = E[X_i^3 - 3X_i^2 \bar X + 3 X_i \bar X^2 - \bar X^3]$ but I am having trouble taking the expectations of $\bar X^2$ and $\bar X^3$.
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You mix 65.0 g of water with 2.15 g of benzoic acid in a calorimeter at 21.0 {eq}^o {/eq}C. The temperature of the solution rises to a maximum of 25.2 {eq}^o {/eq}C. Calculate the heat of solution of benzoic acid in {eq}kJ/mol {/eq}.
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If the Fed buys government securities from a private bank, the monetary base _____ and reserves _____, everything else held constant. A) rises; remain unchanged B) remains unchanged; rise C) fall; rise D) remains unchanged; fall
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Two particles have constant angular acceleration, α1 and α2. Their angular velocities at time t = 0 are ω10 = 15.0 rad/s and ω20 = -22.0 rad/s. Their angular positions at time t = 0 are θ10 = 2.00 radians and θ20 = -3.20 radians. If ω1 and ω2 are never zero, what must be true about the magnitudes of α1 and α2 for both ...
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Financial budgeting refers to _____. a. all budgets of the firm b. budgets for cash flows c. budgets for sales d. budgets for production
b
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Use the data below to determine the amount of depreciation on the equipment for the year ended December 31, 2014, using the straight-line method. 12/31/13 12/31/14 Equipment $128,000 $126,000 Accumulated depreciation 28,000 35,000 A) $24,000. B) $...
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Consider the titration of 120.0 mL of 0.65 M ammonia with 0.85 M HCl. Calculate the pH after 110.0 mL of HCl has been added.
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Calculate the average value of {eq}f(x)=2 \sin (x) \cos (x) {/eq} on the interval {eq}[0, 2 \pi].{/eq}
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Savings for domestic investment is defined as (where Y = GDP; T = taxes; G = government spending; C = consumption; r = the real interest rate; and X = investment): a. Y - T - C. b. G - T - r. c. X - Y + C. d. X + Y - C.
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RFL currently has $500,000 of variable costs, $100,000 of fixed costs, and $1,000,000 of EBIT. If the firm's variable costs decrease by $50,000, its fixed costs increase by $20,000, and its total revenues increase by $100,000, what will happen to the firm's EBIT? A) increase by $50,000 B) increase by $130,000 C) dec...
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If the assumption is that both Miami and LaCross are functioning efficiently even if Miami's expenditures are higher at a given health level, then graphically a. their Health production functions (HPF) are the same b. HPF of Miami is higher than HPF of LaCross c. HPF of Miami is lower than HPF of LaCross d. we stil...
b
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Mr & Mrs. Carter paid tuition of $1,500 and required fees of $650 for their 21-year-old daughter, who is attending State University, living on her own, and working 20 hours per week as a research assistant. Their AGI is $55,000. The daughter paid for all of her other school and living expenses, which amounted to more t...
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For a 95% confidence interval with n = 40, the table value is 1.685. What does the table value tell you?
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At a certain distance from the center of the Earth, a particle of mass m1 is observed to move with a period T1. At the same distance from the center of another planet of the same mass, another particle of mass m2 is observed to move with a period T2. Find the ratio of the densities of the Earth and of the other planet...
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State Bank wants to estimate the true annual income of their customers with 99% confidence and a margin of error of $300. The standard deviation is known to be $6,500. What sample size is required?
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Suppose the market price of corn rises. This rise will: A. decrease the demand for corn-based ethanol. B. decrease the supply of corn-based ethanol. C. increase the demand for corn-based ethanol. D. increase the supply of corn-based ethanol. E. have no effect on the market for corn-based ethanol. F. both A and B.
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Suppose the market for sunglasses initially has a supply described by {eq}P_{S} = 10 + 0.5 Q_{S} {/eq} and demand described by {eq}P_{D} = 200 - 2Q_{D} {/eq}. Then the price of the glass used to make sunglasses increases and so the new supply of sunglasses is given by {eq}P_{S} = 20 + 0.5Q_{S} {/eq}. What effect wil...
C
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Exotic Chemical, Inc. is a manufacturer of organic chemical products for use in the pharmaceutical industry. One of their products, Procter 2000, is produced on a year-end basis and then stored in a warehouse. The material cost to make this product is $20 per unit. The current market price for this product is $60 per ...
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The Owners of a capital firm have been assured by the management that they will receive $20,000 in higher dividends two years from now. What is the present value of the $20,000 to be received if the appropriate discount rate is 8%?
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I put some funds into an online platform on March 1, 2015. I was promised 200% returns on this investment over the next three years (i.e., by March 1, 2018). On December 31, 2015, the platform owner paid me 100% of my investment. How can I compute the opportunity cost of this investment? I know the interest rate on sho...
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You have the following data on (1) the yield to maturity on bonds issued by two corporations and (2) the expected market return for next year: Corporation Bond YTM Expected Market Return Large Company 8.4 12.6 Small Company 10.7 14.0 Assume that the...
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Use Stokes' Theorem to calculate {eq}\iint_S curl \mathbf F\cdot n d\sigma{/eq} where {eq}F(x, y, z) = <-y, x, xyz>{/eq} and S is the part of the sphere {eq}x^2 + y^2 + z^2 = 25{/eq} that lies below the plane z = 4, oriented so that the unit normal vector at (0, 0, -5) is 0, 0, -1 .
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Find the volume of the solid under the surface {eq}z = 8xy{/eq} and above the triangle with vertices {eq}(1, 1), (4, 1){/eq}, and {eq}(1, 2){/eq}.
31
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An electron traveling at 6.9 105 m/s has an uncertainty in its velocity of 1.89 105 m/s . What is the uncertainty in its position? Express your answer with the appropriate units.
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Compute $E(X^k)$ for $X \sim \text{Pois}(\lambda)$, $k = 2,3$. Using the results, calculate $Var(X)$. Is this correct?
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What is the value of the integral $$\int_{-1}^1 \sin\big(\tan\big(\tan^{-1} x\big)\big)\mathrm dx$$?
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Marjorie's Sweets has the following inventory data: - Jan. 1: Beginning inventory of 40 units at $2.50 - Jan. 10: Purchase of 150 units at $2.70 - Jan. 24: Purchase of 90 units at $2.80 - Jan. 31: Ending inventory of 50 units Assuming that a perpetual inventory system is used, what is ending inventory on a LIFO ba...
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$$\int_{-2}^0 x \, dx - \int_{0}^1 2x \, dx = 1 + 2$$ Why is the last step incorrect, and how should it be?
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Jet Products had no units in process at the beginning of the year. Jet uses process costing and has calculated 47,000 total equivalent units completed during the year. If there were 53,000 units started in the current period and 10,000 units in ending work-in-process, what percentage complete were the ending inventory ...
b
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Lorenzo Photography reported a net income of $118,000 for 2017. Included in the income statement were a depreciation expense of $5,000 and amortization expense of $1,000. Lorenzo's comparative balance sheets show the following balances: 12/31/16 12/31/17 Accounts receivable $27,...
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Nighttime Star is considering using a predetermined rate for applying overhead. This company most likely makes use of which of the following types of costs? a. Variable overhead costs only b. Direct labor costs only c. Fixed overhead costs only d. Both variable and fixed overhead costs
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In a particular region, the electric potential is {eq}V= -65x^2 {/eq} volts, where x is in meters. (a) What is the strength of the electric field at x = 2.5 m?
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Assume that lightning hits a conductor of negligible width and uniformly distributed charge, so that we can model it as an infinitely long straight line. The magnetic field strength is {eq}7.55 \times 10^{-5} {/eq} T at a distance of 26.0 m away from the bolt, and the bolt lasted for a total of {eq}2.50 \times 10^{-3}...
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The beginning balance in a bank account was $20,000 and the final balance was $20,300 after one year. Let i denote the annual effective rate of return. On January 1, $3,000 is deposited into the account and on July 1, $1,000 is withdrawn from the account, leading to the following non-linear equation in i: $$20300=(1+i)...
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Given the recurrence relation $a_n=\sum_{k=1}^n {n\choose k}a_{n-k}$, with $a_0=1$, show that the exponential generating function for $a_n$, $A(x)=\sum_{n=0}^{\infty}a_n\frac{x^n}{n!}$ is equal to $\frac{1}{2-e^x}$. Find the mistake in the provided derivation, which ends with $A(x)=A(x)e^x-A(x)$.
A(x)=\frac{1}{2-e^x}
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Consider the following characteristics: a. Excludable b. Rival in Consumption c. Nonexcludable d. Non-rival in consumption Which of the characteristics best describes public goods? A. a and b B. a and d C. c and d D. c and b
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Cite specific articles of the Constitution that protect the rights listed. - The right to travel the roads of the country. - The right to strike (i.e., to decline to work) for workers. - The right to receive federal funds for the provision of a particular service (e.g., domestic services). - The right of citizens t...
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Capital Corp. is considering three mutually exclusive projects X, Y and Z with their respective cash flows. Project Z is being discounted at 14.91%, Project Y at 11.31%, and Project X at 10.79% (all based on NPV calculations). If the appropriate discount rate for Project X is 10.79%, which project(s) would Capital Cor...
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Kinder Company has these comparative balance sheet data: Kinder Company Balance Sheets December 31 2014 2013 Cash $32,355 $64,710 Accounts receivable (net) $150,990 $129,420 Inventory $129,420 $107,850 ...
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Consider a project with the following data: initial fixed asset investment = $59,000 straight-line depreciation to zero over the 7-year life, zero salvage value price = $29 per unit variable costs = $18 per unit fixed costs = $21,500 per year quantity sold = 6,100 units per year tax rate = 31 percent How sensit...
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Gutierrez Company reported net income of $198,760 for 2014. Gutierrez also reported depreciation expense of $45,030 and a loss of $4,850 on the disposal of equipment. The comparative balance sheet shows a decrease in accounts receivable of $13,600 for the year, a $16,640 increase in accounts payable, and a $3,410 decre...
$282,290
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Assume that both the labor force and real GDP are growing at 3% per year. At the beginning of the year, the labor force participation rate is 50% and the average amount of real GDP produced per hour of labor is $10. At the beginning of the year, there are 100 million people employed and 100 million people not employed...
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Assume that the current corporate tax rate is 40%, and that the capital gains tax rate is 20% for stock that is held for more than one year. If you were to purchase an asset at a cost of $12,000, hold the asset for five years, and sell it for $22,000, what would be your tax on this gain? A) $2,800. B) $4,800. C) $8,...
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Consider a one-factor economy with two securities X and Y. Assume that the risk-free return is 10% and the expected return of security X is 17% and that security X has a beta of 2.0. Security Y has a beta of 1.2. What is the expected return on security Y?
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