You have just purchased a home and taken out a $$$$420$ comma $000$ mortgage. The mortgage has a $30-$year term with monthly payments and an APR of $4\%.$

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$)?$

Question content area bottom

Part $1$

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 $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$

Part $2$

The interest payment during the $1$st year will be $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$

Part $3$

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 $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$

Part $4$

The interest payment during the $20$th year will be $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$