Problem $13$

Intro

You just turned $20$ years old and want to retire when you turn $65.$ You plan to put $$3,200$ 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 $1$

Attempt $\frac{1}{10}$ for $10$ pts$.$

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

one on the day you turn $64?$

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