a) Find the exponential function that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time?
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- If an asset declines in value from 5,000 to 3,500 over nine years, what is the mean annual growth rate in the assets value over these nine years?You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.You put $600 in the bank for 3 years at 15%. A. If Interest Is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the third year. B. Use the future value of $1 table In Appendix B and verify that your answer is correct.
- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?Suppose that $1,000 is invested for 4 years at an interest rate of 12%, compounded quarterly. How much will be in the account at the end of 4 years?Suppose $15,000 is invested in an account with an APR of 4.5%. If the interest is compounded annually, how much interest is earned over the first 6 years? If the interest is compounded monthly, how much interest is earned over the first 6 years?
- An investment of $15,785 is accumulated at 6.5% compounded quarterly for 5 years. At that time the interest rate is changed to 4.3% compounded monthly. How much is the investment worth after 10 years? Answer to the nearest cent.Assume that time is measured in years and that interest rates are constant. A cashflow of amount £1000 is paid each year, with the first payment made at time 1 and the last payment made at time 20. Using a constant effective interest rate of 3% per annum, calculate the present value at time 0 of the cashflows.set up an equation and solve each problem. Suppose that $500 is invested at a certain rate of interest compounded annually for 2 years. If the accumulated value at the end of 2 years is $594.05, find the rate of interest.
- The interest on a particular savings account is compounded continuously. The account initially had $2,200 deposited in it. The worth of the account after t-years can be calculated using the formula: A(t)=2200e0$1 (a) By what percent will the worth of the account increase per year? Round to the nearest hundredth of a percent. (b) To the nearest tenth of a year, how long will it take for the worth of the account to triple? (c) If another investment began with a principal of $2,500 and earned simplest interest of 3.8% applied once per year, which investment would be worth more after 10 years? JustifySuppose that $2700 is invested in an account with an APR of 3.9% compounded continuously. Determine the value of the investment at the end of 5 years. What is the annual percent change (APY) for the account?Suppose you invest $1,100 in an account paying 5% interest per year. What is the balance in the account after 4 years? How much of this balance corresponds to "interest on interest"? What is the balance in the account after 30 years? How much of this balance corresponds to "interest on interest"? (Round to the nearest cent.)