Chinyere purchased a new house for $$200,000$ and has a $$180,000,30-$year mortgage with a $4$ percent interest rate. Based on this information, how much will she pay in interest in her first year of payments?

Question $5$ options:

A$)$

$$3,170$

B$)$

$$7,142$

C$)$

$$7,936$

D$)$

$$10,312$