Which of the following statements is$/$are true about $15-$year and $30-$year fixed$-$payment mortgages with monthly payments?

A$)$ A $30-$year mortgage wil! have $15$ more monthly payments than a $15-$year mortgage.

B$)$ Borrowers pay more total interest over the life of a $30-$year mortgage than on a $15-$year mortgage assuming the same interest rate on both mortgages.

C$)$ The remaining balance on a $30-$year loan declines more quickly than on a $15-$year mortgage with the same interest rate.

Both A and B are true.

Both $B$ and $C$ are true.

Both A and $C$ are true.

All three $($A$,$ B and C$)$ are true.