Question

determine the monthly principal and interest payment for a 20-year mortgage when the amount financed is $265,000 and the annual percentage rate (apr) is 5.5%.

the monthly principal and interest payment is $
(round to the nearest cent as needed.)

Explanation:

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<reasoning>

Identify the given values

We are given the following parameters for the mortgage:

• Amount financed: \(\$265,000\)
• Term of the mortgage: \(20\) years
• Annual percentage rate (APR): \(5.5\%\)

Locate the table factor

Using the Mortgage Payment Table knowledge point
\[
\text{Factor for } 5.5\% \text{ and } 20 \text{ years} = \$6.87887
\]

Calculate the monthly payment

Using the Mortgage Payment Table knowledge point
\[

$$\begin{aligned} \text{Monthly Payment} &= \frac{\text{Amount Financed}}{\$1000} \times \text{Table Factor} \\ &= \frac{265,000}{1000} \times 6.87887 \\ &= 265 \times 6.87887 \\ &= 1822.90055 \end{aligned}$$

\]

Round to the nearest cent

Using the Mortgage Payment Table knowledge point
\[
\text{Monthly Payment} \approx \$1822.90
\]
</reasoning>

<answer>
Determine the monthly principal and interest payment for a 20-year mortgage when the amount financed is $265,000 and the annual percentage rate (APR) is 5.5%.

The monthly principal and interest payment is $<blank>1822.90</blank>.
</answer>

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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Mortgage Payment Table"
]
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</post_analysis>

Answer:

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"concepts_used": [
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"new_concepts": [],
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<reasoning>

Identify the given values

We are given the following parameters for the mortgage:

• Amount financed: \(\$265,000\)
• Term of the mortgage: \(20\) years
• Annual percentage rate (APR): \(5.5\%\)

Locate the table factor

Using the Mortgage Payment Table knowledge point
\[
\text{Factor for } 5.5\% \text{ and } 20 \text{ years} = \$6.87887
\]

Calculate the monthly payment

Using the Mortgage Payment Table knowledge point
\[

$$\begin{aligned} \text{Monthly Payment} &= \frac{\text{Amount Financed}}{\$1000} \times \text{Table Factor} \\ &= \frac{265,000}{1000} \times 6.87887 \\ &= 265 \times 6.87887 \\ &= 1822.90055 \end{aligned}$$

\]

Round to the nearest cent

Using the Mortgage Payment Table knowledge point
\[
\text{Monthly Payment} \approx \$1822.90
\]
</reasoning>

<answer>
Determine the monthly principal and interest payment for a 20-year mortgage when the amount financed is $265,000 and the annual percentage rate (APR) is 5.5%.

The monthly principal and interest payment is $<blank>1822.90</blank>.
</answer>

<post_analysis>
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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Mortgage Payment Table"
]
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