$($Future value of an annuity$)$ Upon graduating from college $30$ years ago, Dr$.$ Nick Riviera was already planning for his retirement. Since then, he has made deposits into a retirement fund on a

monthly basis in the amount of $$120.$ Nick has just completed his final payment and is at last ready to retire. His retirement fund has earned $7$ percent compounded monthly. Use five decimal

places for the periodic interest rate in your calculations.

a$.$ How much has Nick accumulated in his retirement account?

b$.$ In addition to this, $15$ years ago Nick received an inheritance check for $$25,000$ from his beloved uncle. He decided to deposit the entire amount into his retirement fund. What is his current

balance in the fund?

a$.$ The amount Nick has accumulated in his retirement account is $ $($Round to the nearest cent.$)$