Intro

You just turned $21$ years old and want to retire when you turn $65.$ You plan to put $$3,100$ 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 $7\%$ on your investments every year.

Part $1$

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 $64?$