For $42$ years, Janet saved $$850at$ the beginning $of$ every month $in$ a fund that earned $6\mathrm{.}75\%$ compounded annually.

$a.$ What was the balance $in$ the fund $at$ the end $of$ the period?

$$1,564,519\mathrm{.}47$

Round $to$ the nearest cent

$b.$ What was the total amount $of$ interest earned over the period?

$$1,136,119\mathrm{.}47$

Round $to$ the nearest cent