A couple will retire in 50 years; they plan to spend about $36,000 a year in retirement, which should last about 25 years. They believe that they can earn 8% 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.)

Annual payment _________

b. How would the answer to part (a) change if he couple also realize that in 20 years they will need to spend $66,000 on their child's college education? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Annual payment____________