$11.$ You are $38$ years old and earn $$108,000$ per year. You contribute $10\%$ of your salary to your $401($k$)$ and your employee matches contributions $100\%$ up to $4\%$ of your salary. If you expect to earn $7\mathrm{.}5\%$ annually on your $401($k$)$ assets, at what age do you expect to have accumulated the following balances?

a$.$ $$500,00055\mathrm{.}2437$ years old

b$.$ $$1,000,00062\mathrm{.}6835$ years old

$*$ please show how to solve on a TMV financial calculator NOT excel, thank you :)