You just turned $24$ years old and want to retire when you turn $65.$ You plan to put

$$3,600$ every year into a ROTH IRA, a retirement account from which you can

withdraw money after retirement without having to pay any taxes. You expect to

earn a return of $6\%$ on your investments every year.

Part $1$

Attempt $\frac{5}{10}$ for $0\mathrm{.}9$ pts

How much money can you expect to have at age $65$ if you make your first deposit

now and your last one on the day you turn $64?$