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How much money will be spent in interest alone over the course of the 4\% 30-year mortgage described in the table?

Mortgage Payments

\begin{tabular}{|r|r|}
\hline
\multicolumn{2}{|c|}{Principal: [tex]$\$[/tex]200,000.00[tex]$} \\
\hline
Interest Rate & Monthly Payment \\
\hline
$[/tex]3 \%[tex]$ & $[/tex]\[tex]$843$[/tex] \\
\hline
[tex]$4 \%$[/tex] & [tex]$\$[/tex]955[tex]$ \\
\hline
$[/tex]5 \%[tex]$ & $[/tex]\[tex]$1074$[/tex] \\
\hline
\end{tabular}

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Sagot :

To determine the amount of money spent on interest alone over the course of a 30-year mortgage with a 4% interest rate and a monthly payment of \[tex]$955, follow these steps: 1. Find the total amount paid over the mortgage term: - The term of the mortgage is 30 years. - There are 12 months in a year. - The monthly payment is \$[/tex]955.
- Multiply the monthly payment by the number of months in the mortgage term:
[tex]\[ \text{Total Amount Paid} = 955 \times 30 \times 12 = 343,800 \][/tex]

2. Subtract the principal amount from the total amount paid to find the interest paid:
- The principal amount is \[tex]$200,000. - Subtract the principal from the total amount paid: \[ \text{Interest Paid} = 343,800 - 200,000 = 143,800 \] Therefore, the amount of money spent on interest alone over the course of the 30-year mortgage with a 4% interest rate is \$[/tex]143,800.