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?
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- 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 $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 $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 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.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?Suppose you receive $100 at the end of each year for the next 3 years. a) if the interest rate is 8%, what is the present value of the cash flows? b) what is the future value in 3 years of the present value you compute in a? c) suppose you deposit the cash flows in a bank account that pays 8% interest in a year. What is the balance in the account at the end of each of the nest 3 years (after your deposit is made)? How does the final bank balance compare with your answer in b?
- 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?Suppose you receive $100 at the end of each year for the next three years. a. If the interest rate is 8%, what is the present value of these cash flows? b. What is the future value in three years of the present value you computed in (a)? c. Suppose you deposit the cash flows in a bank account that pays 8% interest per year. What is the balance in the account at the end of each of the next three years (after your deposit is made)? How does the final bank balance compare with your answer in (b)? a. If the interest rate is 8%, what is the present value of these cash flows? The present value of these cash flows is $ |. (Round to the nearest cent.) b. What is the future value in three years of the present value you computed in (a)? The future value in three years is $ (Round to the nearest cent.) c. Suppose you deposit the cash flows in a bank account that pays 8% interest per year. What is the balance in the account at the end of each of the next three years (after your deposit is made)?…Suppose that $10,000 is deposited into a saving account that earns 6% interest, compounded annually.a) Assuming that no additional deposits or withdrawals are made, use the appropriate compound interestfactors to determine how much the account will be worth:i) After 5 years;ii) After 20 years. b) Verify that your answers in part (a) are correct by constructing a table or spreadsheet that shows howthe initial deposit will grow each year over 20 years. At a minimum, your table or spreadsheet shouldinclude a row for each year and show: the amount of money in the savings account at the start of each year. the amount of interest earned each year; and the amount of money in the savings account at the end of each year, after interest is paid.Be sure to briefly explain how your table or spreadsheet verifies your results from part (a). c) Again assuming that no additional deposits or withdrawals are made, how many years will it take untilthere is at least $50,000 in the account?
- 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.) yrSuppose that a person deposits $500 in a savings account at the end of each year, starting now, for the next 12 years. If the bank pays 8% per year, compounded annually, how much money will accumulate by the end of the 12-year period? Repeat Problem for an interest rate of 6.25% per year, compounded annually?If 8000 dollars is invested in a bank account at an interest rate of 7 per cent per year, Find the amount in the bank after 15 years if interest is compounded annually: Find the amount in the bank after 15 years if interest is compounded quarterly: Find the amount in the bank after 15 years if interest is compounded monthly: Finally, find the amount in the bank after 15 years if interest is compounded continuously: Check Answer