You have just purchased a home and taken out a $$510,000$ mortgage. The mortgage has a $30-$year term with monthly payments and an APR of $5\%.$

a$.$ How much will you pay in interest, and how much will you pay

in principal, during the $1$st year?

b$.$ How much will you pay in interest, and how much will you pay in principal, during the $20$ h year $($i$.$e$.,$ between $19$ and $20$ years from now$)?$

a$.$ How much will you pay in interest, and how much will you pay in principal, during the $1$st year?

The principal payment during the $1$st year will be $ $($Round to the nearest cent.$)$

The interest payment during the $1$st year will be $ $($Round to the nearest cent.$)$

b$.$ How much will you pay in interest, and how much will you pay in principal, during the $20$th year $($i$.$e$.,$ between $19$ and $20$ years from now$)?$

The principal payment during the $20$th year will be $ $($Round to the nearest cent.$)$