A recent college graduate decides they would like to have $20, 000 in five years to make a down payment on a home. (a) How much money will they need to invest today in order to have $20, 000 in five years, given that they can invest at an annual interest rate of 4%?

(b) What interest rate would the investment need to have if they invest $5000 and would like to have $20,000 in 5 years? (Round your answer to the nearest hundredth)