A woman deposits $$14,000$ at the end of each year for $9$ years in an account paying $6\%$ interest compounded annually.

$($a$)$ Find the final amount she will have on deposit.

$($b$)$ Her brother$-$in$-$law works in a bank that pays $5\%$ compounded annually. If she deposits money in this bank instead of the other one, how much will she have in her account?

$($c$)$ How much would she lose over $9$ years by using her brother$-$in$-$law's bank?