Your grandfather put some money in an account for you on the day you were born You are now $16$ years old and are allowed to withdraw the money for the first time. The account currently has $$3\mathrm{.}274$ in it and pays an $5\%$ interest rate.

a$.$ How much money would be in the account if you left the money there until your $20$ 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?

Please round to the nearest cent! Thank you!