Please show all work, including diagrams and inputs (N, 1/Y, etc.). Little if any credit will be received for answers without work. 1. If you invest $1,000 at a rate of 6.5% and leave it in for 10 years, how much will you have at maturity? 2. You invested $500 six years ago. The investment is now worth $1,250. What was the rate of return? 3. List the three (3) characteristics of an annuity 4. You would like to have $500,000 in 15 years. To achieve that goal, you decide to invest $3,000 at the end of each year. What interest rate must you earn to meet your goal? 5. Treat the investment in Problem 5 as an annuity due