A couple thinking about retirement decide to put aside $5,000 each year in a savings plan that earns 8% interest annually. In 10 years they will receive a gift of $12,000 that also can be invested at the same rate of interest.

(a) How much money will they have accumulated 25 years from now?

(b) If their goal is to retire with $1,000,000 of savings, how much extra do they need to save every year?