A couple will retire in 40 years; they plan to spend about $33,000 a year in retirement, which should last about 20 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.)           b. How would the answer to part (a) change if the couple also realize that in 15 years they will need to spend $63,000 on their child’s college education?

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