Quintin is now 22 years old and has just started a new job. He is trying to decide whether to start investing for retirement now or to wait several years. Verify that investing a fixed amount at a \(10 \%\) return per year yields approximately the same total accumulation at age 52 for Quintin under the following alternatives:

(a) Invest \(\$ 3\) per year for 30 years, beginning now

(b) Invest \(\$ 5\) per year for 25 years, beginning at age 27

(c) Invest \(\$ 80\) per year for 5 years, beginning at age 47