If your mortgage payment is $954.32/month. Using proportions, what is the minimum yearly amount you must have in realized income to keep your housing expenses in the acceptable range? Round to the nearest penny

1 answer

To determine the minimum yearly income required to keep housing expenses in an acceptable range, we typically use the guideline that housing expenses should not exceed a certain percentage of your income. A common standard is that housing expenses should not exceed 28% of your gross income.

Given that your monthly mortgage payment is $954.32, we first need to find the annual mortgage payment:

\[ \text{Annual Mortgage Payment} = \text{Monthly Payment} \times 12 \] \[ \text{Annual Mortgage Payment} = 954.32 \times 12 = 11,451.84 \]

Next, we want to set up a proportion where 28% of your income (let's call it \(x\)) is equal to your annual mortgage payment:

\[ 0.28x = 11,451.84 \]

To find \(x\), we can rearrange this equation:

\[ x = \frac{11,451.84}{0.28} \]

Now, calculating the right side:

\[ x = 40,184.43 \]

Thus, rounding to the nearest penny, the minimum yearly income required to keep your housing expenses in the acceptable range is:

\[ \text{Minimum Yearly Income} = 40,184.43 \]

So, you would need a minimum yearly income of $40,184.43.