Noor is buying a home with a $$200,000$ mortgage using a $5\mathrm{.}5$ percent, $30-$year loan. How much of the first month's payment will go toward the principal if the payment per $$1000$

on this loan is $$5\mathrm{.}6779?$

a$.$ $$917$

b$.$ $$219$

c$.$ $$0$

d$.$ $$538$