Consider the following fixed$-$rate, level$-$payment mortgage: maturity $=360$ months amount borrowed $=$ $$400,000$ annual mortgage rate $=7\%$

a$.$ What is the monthly mortgage payment?

b$.$ What would the remaining mortgage balance be at the end of the $25$th month?

c$.$ What is the portion of the monthly mortgage payment that is the scheduled principal payment for month $12?$