$($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 $$130.$ Nick has just completed his final payment and is at last ready to retire. His retirement fund has earned $9$ 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? $($Round to nesrest cent$)$

b$.$ In addition to this, $10$ years ago Nick received an inheritance check for $$15,000$ 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.$)$

b$.$ The amount the $$15,000$ inheritance check has accumulated to over $10$ years is

$($Round to the nearest cent.$)$

The current balance in Nick's retirement fund is $ $($Round to the nearest cent.$)$