How much money will be spent in interest alone over the course of the 3.5\% 30-year mortgage described in the table?

Mortgage Payments

\begin{tabular}{|r|r|}
\hline
\multicolumn{2}{|r|}{Principal: [tex]$\$[/tex]210,000.00[tex]$} \\
\hline
Interest Rate & Monthly Payment \\
\hline
$[/tex]3 \%[tex]$ & $[/tex]\[tex]$885$[/tex] \\
\hline
[tex]$3.5 \%$[/tex] & [tex]$\$[/tex]943[tex]$ \\
\hline
$[/tex]4.25 \%[tex]$ & $[/tex]\[tex]$1033$[/tex] \\
\hline
\end{tabular}

[tex]$\$[/tex][?]$



Answer :

To determine how much money will be spent in interest alone over the course of a 30-year mortgage with a 3.5% interest rate, we can follow these steps:

1. Identify the Given Information:
- Principal (the initial loan amount): \[tex]$210,000.00 - Monthly payment for the 3.5% interest rate: \$[/tex]943
- Mortgage term: 30 years

2. Calculate the Total Amount Paid Over the Life of the Mortgage:
- Monthly payments: \[tex]$943 - Number of payments per year: 12 - Number of years: 30 To find the total amount paid: \[ \text{Total Amount Paid} = \text{Monthly Payment} \times \text{Number of Payments per Year} \times \text{Number of Years} \] Substituting the given values: \[ \text{Total Amount Paid} = 943 \times 12 \times 30 = 339,480 \] 3. Calculate the Amount Spent on Interest: - We know the total amount paid over the life of the mortgage. - We also know the original principal. To find the amount spent on interest: \[ \text{Amount Spent on Interest} = \text{Total Amount Paid} - \text{Principal} \] Substituting the values: \[ \text{Amount Spent on Interest} = 339,480 - 210,000 = 129,480 \] Therefore, the amount of money that will be spent in interest alone over the course of the 3.5% 30-year mortgage is \$[/tex]129,480.00.