Your job offers a retirement savings plan to match your investments into an account, up to $5\%$ of your gross monthly income. This account earns $5\mathrm{.}7\%$ interest compounded monthly. You wish to have $$1,000,000\mathrm{.}00$ in your retirement at age $65.$ If you invest $5\%$ of your gross monthly income into the $401($k$).$ In the account above, will you reach your goal? State the amount you will reach as your answer.

Maybe $5\%$ is too much of your gross monthly income, maybe its not enough. At what percentage of your monthly gross income must you invest in the $401($k$)$ to reach your goal?

Annual gross pay: $$hr 

 

 Age now:  years 

 

 Years to invest: years 

 

 Initial amount in k: $