Pregunta
In Phoenix, the tax on a property assessed at \( \$ 540,000 \) is \( \$ 12,420 \). If tax rates are proportional in this city, how much would the tax be on a property assessed at \( \$ 380,000 \) ? Answer: \( \$ \)
Ask by Bright Luna. in the United States
Jan 27,2025
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The tax on a \( \$380,000 \) property would be \( \$8,740 \).
Solución
To determine the property tax on a \( \$380,000 \) assessed property in Phoenix, where the tax rates are proportional, follow these steps:
1. **Calculate the Tax Rate:**
Given:
\[
\text{Tax} = \$12,420 \quad \text{on} \quad \text{Assessed Value} = \$540,000
\]
\[
\text{Tax Rate} = \frac{\text{Tax}}{\text{Assessed Value}} = \frac{12,420}{540,000} = 0.023 \, \text{or} \, 2.3\%
\]
2. **Apply the Tax Rate to the New Assessed Value:**
\[
\text{Tax on } \$380,000 = 0.023 \times 380,000 = 8,740
\]
\[
\boxed{\$8,\!740}
\]
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Beyond the Answer
To find the tax on a property assessed at \( \$ 380,000 \), we can use the tax rate established for the \( \$ 540,000 \) property. The tax rate can be calculated as follows: Tax rate = \( \frac{12,420}{540,000} \approx 0.0230 \). Now, we can apply this tax rate to the \( \$ 380,000 \) property: Tax on \( 380,000 \) = \( 0.0230 \times 380,000 \approx 8,740 \). So, the tax would be approximately \( \$ 8,740 \).
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