7. Samantha starts to save for retirement. In 35 years she wants to accumulate $800,000 for her golden years. The annual interest rate r = 6.0%. She intends to make her deposits each quarter. Data: (a) How much should Samantha deposit each quarter if she makes her deposits at the beginning of the quarter? (b) Compute the interest Samantha earns if she makes her deposits this way. (c) How much should Samantha deposit each quarter if she makes her deposits at the end of the quarter? (d) Compute the interest Samantha earns if she makes her deposits this way. LAY OUT EACH PROBLEM SOLUTION EXACTLY AS SHOWN BELOW. Sample Problem: At the end of every 6-month period for 15 years, Sally deposits $1,200 into a savings account paying 5% compounded semiannually. Here's how to show your work. Data: t = 15 years r= 5% i = 2.5% R=$1,200 Type 1-A (a) What is Sally's accumulated balance after 15 years? FV = $52,683 m=2 n = 30 (b) How much interest does she earn? interest = $16,683