a$.$ Suppose that between the ages of $22$ and $36,$ you contribute $$4000$ per year to a $401(k)$ and your employer contributes $$2000$ per year on your behalf. The interest rate is $9\mathrm{.}1\%$ compounded annually. What is the value of the $401(k)$ after $14$ years? b$.$ Suppose that after $14$ years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the $401(k).$ How much money will you have in the plan when you reach age $65?c.$ What is the difference between the amount of money you will have accumulated in the $401(k)$ and the amount you contributed to the plan?

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a$.$ The value of the $401(k)$ after $14$ years is $

$($Do not round until the final answer. Then round to the nearest dollar as needed.$)$

b$.$ The money accumulated in the plan when reaching age $65$ is $

$($Do not round until the final answer. Then round to the nearest dollar as needed.$)$

c$.$ The difference between the amount of money you will have accumulated in the $401(k)$ and the amount you contributed to the plan is $$.$

$($Do not round until the final answer. Then round to the nearest dollar as needed.$)$