112A company invests a total of $50,000 of surplus funds at two annual rates of interest: 4% and 7%. It wishes an annual yield of no less than 6-%. What is the least21amount of money that the company must invest at the 7% rate?

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Answered: 1 1 2 A company invests a total of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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QUESTION 3 (a) Linda deposits RM 2,600 in an account when she was 15 years old. The simple interest rate offered is 4.3 % per annum. Find the simple interest earned when she is 21 years old. (b) RM 600 is invested on 5 May 2021 at a simple rate of r % per annum. The amount on 4 June 2021 using Banker's rule is RM 604.50. Find the interest rate.
Jerry's sister, Amber the Chipmunk (she's adopted) is planning to invest $14,000 in an accoun earning 8% interest, compounded monthly. From this account, she plans to make five uniform annual withdrawals with the first withdrawal happening five years from now. How large should these annual withdrawals be? Draw a cash flow diagram. 1 14000 4 5 8 9 A=? 10
You are the accountant for a company that owns a chain of 18 fast food restaurants in a state which adjusts the minimum wage for inflation. Each restaurant employs 45 workers, each averaging 20 hours per week at the current federal minimum wage, $7.25 per hour.(a)How many hours at minimum wage are paid out each week by the company?hr(b)At the current rate of $7.25 per hour, what is the amount (in $) of the weekly "minimum wage" portion of the restaurant's payroll?$ (c)If the inflation rate this year is 0.7%, calculate the "adjusted" minimum wage rate (in $ per hour) to be paid next year. (Round your answer to two decimal places.)$ per hour(d)How much in "additional wages" will the company have to pay out next year at the adjusted rate (in $)? (Round your answer to the nearest dollar.)$ (e)Suggest some ways that the restaurant chain or other small businesses can offset the increase in payroll and subsequent decrease in profit as a result of the minimum wage hike.
3. Sloane wants to purchase a package of tennis memorabilia in 6 years. The package costs 350 today but increases its price by 4.5% per year. Sloan decides to deposit 28 into an account at the beginning of each year for 6 years. She also deposits an additional amount Y at the beginning of years 3, 4, 5, and 6 to meet her goal. Calculate Y if the annual effective rate of interest is 9%.
You are considering in investing one of the two options: Investment A requires a $80,000 upfront payment and generates $59,000 annually, Investment B requires a $68,000 upfront payment. How much should Investment B generate annually so that the total returns from Investment A and B become equal after 3 years?
The company consulted a roofing coating contractor who presented the company with two options. The first option is a coating that will cost P20,000 which would extend the life of the roofing for 3 years from date of application, and the second option will cost P30,000 and which would extend the life of the roofing for 5 years from the date of application. At what rate of return are the two investments equal?
6 Janis wishes to invert 7500 into two accounts One account earns 41. annually while the other earns 8% annually. How much should be invested. into each account to each $400 in Foral interest after lone year? Assume simple interest.
3. Mona needs a loan of $7500 for 6 years. a. How much interest will each plan charge? Plan A: 10% per year, compounded semi-annually Plan B: 8.1% per year, compounded quarterly Plan A b. Calculate the difference in the amount of interest between the two plans. Which plan will require her to pay the least amount of interest? Mona should select: Plan A Plan B Plan B because it charges $ less interest.
Finance Suppose that the spot price of copper is $3.25 per pound, the continuously compounded lease rate for copper is 4%, and the continuously compounded risk-free rate is 2%. Suppose that copper can be stored at zero cost. a)lf you short sell copper for one year, what is the total cash flow(including both the cost of returning the copper borrowed and any lease payment) to the copper lender at the end of the year? b)What is the 1-year forward price of copper? c)lf there are no arbitrage opportunities, what is the maximum possible 1-year forward price for copper? If the forward price were above this level, how could you take advantage of it?
A young family is looking to enter the property market. They plan to save for a 10% deposit and take out a loan (for the 90% balance). The deposit is for 10% of the property's value at the time the loan is taken out. The property is valued at $890,000 today, and is modelled to increase in value by 0.5% each month. The family can set aside $5,000 each month-end till the 10% deposit is made. The savings account pays interest at a rate of 0.5% each month. When the deposit is reached, a 30-year loan is taken out at an interest rate of 0.6% per month. a. Write the value, P(t) for the value of the property at the end of the tih month. b. Formulate a difference equation for the future value of the savings plan. c. Detail the finite difference solution for S(t), the future value of the savings plan. d. Solve for t, the time when the 10% deposit may be made and calculate the loan amount (to the nearest dollar). e. Detail the solution to calculate the monthly repayment amount (to the nearest…

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1 1 2 A company invests a total of $50,000 of surplus funds at two annual rates of interest: 4% and 7-%. It wishes an annual yield of no less than 6-%. What is the leas 2 1 amount of money that the company must invest at the 7% rate?