Your grandfather put some money in an account for you on the day you were born. You are now $20$ years old and are allowed to withdraw the money for the first time. The account currently has $$11,609$ in it and pays an $7\%$ interest rate.

a$.$ How much money would be in the account if you left the money there until your $30$th birthday?

b$.$ What if you left the money until your $65$ th birthday?

c$.$ How much money did your grandfather originally put in the account?

a$.$ How much money would be in the account if you left the money there until your $30$th birthday?

If you left the money there until your $30$th birthday, the amount in the account would be $

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

b$.$ What if you left the money until your $65$ th birthday?

If you left the money there until your $65$th birthday, the amount in the account would be $$.($Round to the nearest cent$)$

c$.$ How much money did your grandfather originally put into the account?

The amount of money your grandfather originally put into the account was $$.($Round to the nearest cent.$)$