Deposits $100 at the beginning of each year for 10 years. Simple interest at an annual rate of i is credited to each deposit from the date of deposit. The total amount thus accumulated one year after the last payment is $1,500. If instead, compound interest had been credited at an effective interest rate equal to i, what would the accumulated value of these deposits one year after the last payment?

a. I invested $5,000 into an account earning 5% interest compounded monthly and left it there for 5 years. After the 5 years were up I transferred the money from that account into a new account that earned 6% interest compounded quarterly for the next 10 years. How much total money would I have at the end of the 15 years? b. If I had left the $5,000 in the initial account earning 5% compounded monthly how long, to the nearest tenth of a year, would it have taken to get the same total as in part a?

A loan of £10,000 is repaid in 5 years with quarterly payments made in arrears. The initial payment is of amount P and subsequent payments increase at the end of every year by 2% p.a. compound. The interest rate is 6% p.a. effective.Find the value of P