To determine the maximum amount Kim should spend on a mortgage payment according to her financial advisor, we'll follow these steps:
1. Understand the Recommendation: The financial advisor recommends that Kim should not spend more than [tex]\(\frac{1}{3}\)[/tex] of her monthly income on a mortgage payment.
2. Identify Kim's Monthly Income: Kim's monthly income is [tex]$2305.70.
3. Calculate \(\frac{1}{3}\) of Kim's Monthly Income:
- We need to multiply her income by the fraction recommended by the advisor:
\[
\text{Maximum mortgage payment} = 2305.70 \times \frac{1}{3}
\]
4. Determine the Maximum Amount: By following the multiplication, we find that:
\[
\text{Maximum mortgage payment} = 768.5666666666666
\]
5. Round the Amount to the Nearest Cent: The standard monetary notation uses two decimal places, so we round the amount to:
\[
\$[/tex] 768.57
\]
Thus, the most Kim should spend on a mortgage payment, following her financial advisor’s recommendation, is \[tex]$768.57. Therefore, the correct answer is:
\[
\$[/tex] 768.57
\]
