1. Money accumulates in a fund at an effective annual interest rate of i during the first 5 years, and at an effective annual interest rate of 2i thereafter. A deposit of 1 is made into the fund at time 0. It accumulates to 2.282 at the end of 15 years and to 3.171 at the end of 20 years. What is the value of the deposits at the end of 10 years? (please explain how to find i)
2. Andy borrows 30,000. The loan is charged simple interest at an annual rate of 20% and is repaid after 6 years. Find the annual effective rate of interest for this loan during the 6-year period.