Problem:
Joseph wants to deposit $1,500 at year-end for 35 years at 8%. What will his result be? If Joseph deposits $1,000 at the end of each year for the next 5 years at 8% compounded annually, $1,500 at the end of years 6-10 at 8% compounded annually, and $2,000 at the end of years 11-35 at 5% compounded annually, how much would he accumulate at the end of 35 years? Assume that any balances from earlier deposits would continue to earn the same rate of annual interest.