Suppose that $17,000 is invested in a savings account paying 5.1% interest per year.(a) Write the formula for the amount A in the account after t years if interest is compounded monthly.A(t) =(b) Find the amount in the account after 2 years if interest is compounded daily. (Round your answer to two decimal places.)(c) How long will it take for the amount in the account to grow to $20,000 if interest is compounded continuously? (Round your answer to two decimal places.)yr

Compound interest formula: A = P(1+r/n)^nt Where A is the future amount, P is the principal, r is…

Answered: Suppose that $17,000 is invested in a…

Principles of Accounting Volume 2

19th Edition

ISBN:9781947172609

Author:OpenStax

Publisher:OpenStax

Chapter11: Capital Budgeting Decisions

Section: Chapter Questions

Problem 6MC: You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years....

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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.
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?
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 $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?
You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuity
You want to accumulate $1 million by your retirement date, which is 25 years from now. You will make 25 deposits in your bank, with the first occurring today. The bank pays 8% interest, compounded annually. You expect to receive annual raises of 3%, which will offset inflation, and you will let the amount you deposit each year also grow by 3% (i.e., your second deposit will be 3% greater than your first, the third will be 3% greater than the second, etc.). How much must your first deposit be if you are to meet your goal?
Calculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?
You initially invest $400 in a savings account that pays a yearly interest rate of 3%. (a) Write a formula for an exponential function giving the balance in your account as a function of the time since your initial investment. (Let B be the account balance in dollars and t be the number of years since the initial investment.) 8(t)= dollars (b) What monthly interest rate best represents this account? Round your answer to three decimal places. % (c) Calculate the decade growth factor. (Round your answer to two decimal places.) (d) Use the formula you found in part (a) to determine how long it will take for the account to reach $536. (Round your answer to the nearest whole number.) yr Explain how this is consistent with your answer to part (c), At the end of one decade, there will be $ where the account reaches $536 at the end of This --Select-- o the answer found above years,
Suppose that $12,000 is invested in a savings account paying 5.6% interest per year. (a) Write the formula for the amount in the account after t years if interest is compounded monthly. (b) Find the amount in the account after 3 years if interest is compounded daily. (c) How long will it take for the amount in the account to grow to $20,000 if interest is compounded continuously?
Suppose you deposit $10 every week into an account that earns 4% interest compounded weekly. How much money (to the nearest cent) will you have in the account after 5 years? Summarize the information provided, stating the interest rate in a decimal form. d = r = N = k = Solve the problem and give your answer here
Suppose you want deposit $200 each month into an account earning 3.5% APR compounded monthly. a) Write an equation to find how many years N it will take to save $12,000? b) How many years will it take to save $12,000? Round to two decimals.
Suppose that $850,000 is invested in a savings account paying 5.25% interest per year. (Round answers to nearest hundredths or two decimal places.) a) Find the amount in the account after 11 years if interest is compounded monthly. 1 b) Find the amount in the account after 11 years if interest at continuous compound interest. c) How much interest was earned from continuous compounding in the 11 years? d) How long will it take for the amount in the account to grow to $2,000,000 if interest is compounded quarterly?

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