Intro

You just turned $23$ years old and want to retire when you turn $65.$ You plan to put

$$3,900$ 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 $\frac{2}{3}$ for $9\mathrm{.}5$ 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 $64?$

Part $2$

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

$10$ years from now $($at age $33)$ and your last one on the day you turn $64?$