You just turn to $30$ years old. You got a good job and lived the good life but did not contribute to your $401$K$\backslash$table$[[$A$,$B$,C$

or save anything for your future.

You now realize you would like to retire in $30$ years $($age $60).$ You are currently making $$90$K a year. After

your life expenditure and taxes, you are able to save $10\%$ of your salary.

You come from a family with really good genes so you expect to live another $25$ years after retirement $($to

an age of $85$ years old$).$ You do not want to be a burden on your family and it$$s not likely there will be any

social security by the time you retire so you$$ll have to rely totally on your own resources. You believe you

can live comfortably on $$70$K a year after retirement $($this would cover living expenses and taxes$).$

While you are saving for retirement, your investments will earn $5\%,$ however, after retirement you will

move your funds to a safer investment that will only pay $3\%.$ Assume there is no inflation.

$1.(10$ points$)$ How much will you need to have saved by the time you retire? Use one function to get

the answer

$2.(10$ points$)$ According to how much you are saving per year now, how much would you have in

your savings at the time of your retirement? Use one function to get the answer

$3.(10$ points$)$ To know if your current plan is feasible or not, you subtract what you need $($your answer

to Q$1)$ from what you have $($your answer to Q$2)$ in B$15,$ and specify whether this plan is feasible

or not in B$16$