Ann would like to have $20,000 saved in 7 years from today and can earn 3.8% on deposits. She plans to make sporadic deposits of $2,000 one year from today, $2,500 3 years from today, $500 at year 7. She plans to make one additional payment 4 years from today. How much must she deposit in 4 years to meet her goal?

How much would you be willing to pay today for an ordinary annuity that makes equal annual payments of $3,000 each year. You will receive your first payment 7 years from today and you will receive your last payment 32 years from today. The interest rate on this annuity is 4.1%