Certainly! Let's break down the solution step by step.
1. Determine the Initial Tax Rate:
Serena paid a tax of \[tex]$288 on a house assessed at \$[/tex]48,000. To find the tax rate, we use the formula:
[tex]\[
\text{Tax Rate} = \frac{\text{Tax Paid}}{\text{Assessed Value}}
\][/tex]
Substituting the given values:
[tex]\[
\text{Tax Rate} = \frac{288}{48000}
\][/tex]
Simplifying this:
[tex]\[
\text{Tax Rate} = 0.006
\][/tex]
2. Apply the Tax Rate to the New Assessed Value:
Next, we need to find the tax on a house assessed at \$59,000 using the same tax rate of 0.006.
The formula to calculate the new tax is:
[tex]\[
\text{New Tax} = \text{New Assessed Value} \times \text{Tax Rate}
\][/tex]
Substituting the values:
[tex]\[
\text{New Tax} = 59000 \times 0.006
\][/tex]
Performing the multiplication:
[tex]\[
\text{New Tax} = 354
\][/tex]
3. Conclusion:
The tax on a house assessed at \[tex]$59,000, using the same tax rate, would be \$[/tex]354.
