1. Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time.

$552 per month invested at 5%, compounded monthly, for 3 years; then $753 per month invested at 7%, compounded monthly, for 3 years.

What is the amount in the account after 6 years?

2. Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time.

$1100 per quarter invested at 6.9%, compounded quarterly, for 12 years; then $1600 per quarter invested at 7.7%, compounded quarterly, for 15 years.

Find the final amount in the account.

3. Catherine Dohanyos plans to retire in 20 years. She will make 20 years of monthly contributions to her retirement account. One month after her last contribution, she will begin the first of 10 years of withdrawals. She wants to withdraw $3300 per month. How large must her monthly contributions be in order to accomplish her goal if the account earns interest of 7.4% compounded monthly for the duration of her contributions and the 120 months of withdrawals?

The amount of her monthly contributions must be $ _______________

4. Find the payment necessary to amortize a 4% loan of $2400 compounded quarterly, with 15 quarterly payments.

The payment size is_____________