If you deposit $$15,000$ per year for $9$ years $($each deposit is made

at the made at the beginning of each year$)$ in an account that pays

an annual interest rate of $8\%,$ what will your account be worth at

the end of $9$ years?

You deposit $$16,000$ per year for $12$ years $($each deposit made at

the end of each year$)$ in an account that pays an annual interest

rate of $14\%,$ what will your account be worth at the end of the $12$

years?

You plan to accumulate $$450,000$ over a period of $12$ years by

making equal annual deposits in an account that pays an annual

interest rate of $9\%($the payments will be made at the beginning of

each year$).$ What amount must you deposit each year to reach

your goal?