A couple will retire in 40 years, they plan to spend about $23,000 a year in retirement, which should last about 20 years. They believe that they can earn 9% interest on retirement savings. a. If they make annual payments into a savings plan, how much will they need to save each year? Assume the first payment comes in 1 year. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Answer is complete and correct. Annual savings $ 621.39 b. How would the answer to part (a) change if the couple also realize that in 15 years they will need to spend $53,000 on their child's college education? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Answer is complete but not entirely correct. Annual savings $ 664.44 X