A couple thinking about retirement decide to put aside $12,500 each year in a savings plan that earns 7.50% interest. In 9 years they will receive a gift of $89,500 that also can be invested. a. How much money will they have accumulated 27 years from now? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Accumulated savings $ b. If their goal is to retire with $1,648,383 of savings, how much extra do they need to save every year? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

You have just made your first $10,000 contribution to your individual retirement account. Assume you earn an annual rate of return of 12 percent compounded quarterly and make no additional contributions. What will your account be worth when you retire in 50 years?Note: Do not round intermediate calculations and round your answer to 2 decimal Blaces, e.g., 32.16. You need $20,000 to go on your dream vacation to South Africa. If you save $5,000 today in an account at 10% interest compounded annually, how long will you have to wait to go on your dream vacation?Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.

A couple is saving for retirement with three different accounts. The table below shows the current balances in their accounts, along with their yearly contribution, and the yearly return on each account. The couple will retire in 20.00 years and pool the money into a savings account that pays 3.00% APR. They plan on living for 29.00 more years and making their yearly withdrawals at the beginning of the year. What will be their yearly withdrawal? Account Fidelity Mutual Fund Vanguard Mutual Fund Employer 401k Balance $23,497.00 $187,441.00 $314,214.00 Yearly Contribution $1,000.00 $10,000.00 $15,000.00 APR 6.00% 7.00% 6.00%

(Related to The Business of Life: Saving for Your First House) (Future value) You are hoping to buy a house the future and recently received an inheritance of $18,000. You intend to use your inheritance as a down payment o your house. a. If you put your inheritance in an account that earns 8 percent interest compounded annually, how many years will be before your inheritance grows to $34,000? b. If you let your money grow for 10.25 years at 8 percent, how much will you have? c. How long will it take your money to grow to $34,000 if you move it into an account that pays 4 percent compounded annually? How long will it take your money to grow to $34,000 if you move it into an account that pays 13 percent? d. What does all this tell you about the relationship among interest rates, time, and future sums? it be before your inheritance grows to $34,000? 8.26 years (Round to one decimal place.) b. If you let your money grow for 10.25 years at 8 percent, how much will you have? (Round to the…