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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A local machine shop buys hex nuts and molly screws from the same supplier. Thehex nuts cost 15 cents each and the molly screws cost 38 cents each. A setup costof $100 is assumed for all orders. This includes the cost of tracking and receivingthe orders. Holding costs are based on a 25 percent annual interest rate. The shopuses an average of 20,000 hex nuts and 14,000 molly screws annually.b. If both items are ordered and received simultaneously, the setup cost of $100applies to the combined order. Compare the average annual cost of holding andsetup if these items are ordered separately; if they are both ordered when the hexnuts would normally be ordered; and if they are both ordered when the mollyscrews would normally be ordered.
Home insurance policies may cover jewelry for $1,000 and silverware for $2,500 unless these items are covered with additional insurance. If $3,300 worth of jewelry and $2,100 worth of silverware were stolen from a family, and the policy has a deductible of $1,000, what amount of the claim would not be covered by insurance?
If an investment company started in business with $1 million of capital on January 1 and, because of mismanagement, lost and average of $873 every day for a year, what would be its financial situation on the last day of the year?
Mr. Bingle who is currently 65 yrs. old and in retirement is looking to invest $400,000 (about 1/3 of his retirement assets), and his local banker is offering the following: 1 year CD at 5.00% 5yr CD at 4.75% 10yr CD at 4.50% 20 yr CD at 4.25% Which option would you recommend and why?
At the end of 2009, right after the great recession of 2008-2009, business partners Mario and Luigi sold their plumbing business and retired. Each of them received $1,000,000 net from the sale. Mario holds an undergaduate business degree and understands risk, return, and divesification. He decides to invest his 1M$ in SPY ETF (essentially a stock that tracks the S&P 500 index performance). Luigi comes from a low income family and could not afford to go to college. He doesn't understand finance and he fears risk, so he decides to put his money in a bank savings account. The average S&P500 annual return from 2010 to 2019 has been 11.3%, the average annual return on a standard savings account has been 0.1% over the last 10 years. What is the difference in FV value (end of 2019) between Mario and Luigi investment holdings?
A certain financial institution declared a 50,000 dividend foe the common stocks. If there are a total of 400,000 shares of common stock, how much is the dividend per share.?
Suppose a mutual fund has a portfolio of stocks that have a market value of $10.75 billion and the company has 900 million shares of stock. What is the net asset value (in dollars) of a share of the mutual fund? Round to the nearest cent. Disregard the fees that may be charged by the company.
A credit union is offering 30-year home loan with annual rates of 4.1% with 1.5 points or 3.8% with 1.85 points. If a borrower chooses the second option for a loan of $330,000, how long will it take, in months, to recoup the additional cost in points? (Round your answer up to the nearest month.)
The capital budgeting director of Sparrow Corporation is evaluating a project that costs p200,000, is expected to last for 10 years, and produces after-tax cash flows, including depreciation, of p44,503 per year. if the firm's cost of capital is 14% and its tax rate is 40 percent, what is the project's IRR? Suggested answer is 18% In good accounting form, how 18% get?
Assume that her total winnings are $ 400000, that the utility bonds will pay 16 percent per year, and that the savings account will pay 4 percent per year. What will be her total yearly income from these investments? $
For the given cash flow, if A= $9000 , the present value P is closest to:
In the Sum of the years-digits depreciation method, if the asset has 6 years of life, then the fraction for the second year is ____________. a. 5/21 b. 6/21 c. 2/6 d. 2/21

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