Discover new information and get your questions answered with IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

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


Sagot :

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.