Maureen and Todd were $25$ years old when they graduated from the Robert H$.$ Smith School of Business with their MBA$$s and began working at MGM Inc. Maureen started saving for retirement immediately by investing $$3600$ a month in MGM$$s $401($k$)$ that returned $9\mathrm{.}0\%$ a year on average until she retired at $65$ years of age $(40$ years later$).$ Todd, however, did not begin saving until he was $35.$ At $35$ he began investing $$300$ a month in MGM$$s $401($k$)$ until he was $65(30$ years later$).$

$1.$ How much did Maureen have in her $401($k$)$ when she retired at $65?$

Group of answer choices

$$1,216,377$

$$1,345,924$

$$983,560$

$$997,850$

$2.$ How much additional interest would Maureen earn in her $401($k$)$ if Maureen deposited $$300$ every month and interest was compounded monthly until she reached $65?$

Group of answer choices

$$997,850$

$$1,345,924$

$$1,216,377$

$$1,404,396$

$3.$ How much will Todd have in his $401($k$)$ when he retires at $65?$ Compounded annually.

Group of answer choices

$$396,767$

$$543,898$

$$514,232$

$$490,707$

$4.$ How much will Todd have to invest monthly to have $$1,404,396$ by the time he retires at $65($in $30$ years$)?$

Group of answer choices

$$903\mathrm{.}87$

$$767\mathrm{.}12$

$$828,32$

$$897\mathrm{.}42$