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The Joseph family took out a \(175,000, 25-year mortgage at an APR of 6%. The assessed value of their house is \)9,000. The annual property tax rate is 97.22% of assessed value. What is the annual property tax?

Short Answer

Expert verified
Therefore, the annual property tax the Joseph family needs to pay is $8,750.8

Step by step solution

01

Understand the question

This problem involves calculating the annual property tax, which is a percentage of the assessed value of a house.
02

Identify the required values

The problem gives us the value of the house as $9,000, and the annual property tax rate as 97.22%.
03

Convert the percentage to a decimal

To calculate the property tax, the annual property tax rate, currently in a percentage format, must be converted into a decimal. This is achieved by dividing the percentage by 100. So, \(\frac{97.22}{100} = 0.9722\).
04

Calculate the annual property tax

The annual property tax can now be calculated by multiplying the assessed value of the house by the annual property tax rate(decimal value). So \(9000 * 0.9722 = 8750.8\) dollars.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Assessed Value
Assessed value is a crucial metric used to determine how much tax a property owner must pay. It's basically an estimate of a property’s worth, not to be confused with the current market value, which might be higher or lower. The assessed value is often determined by the local government or tax authority. They might consider factors like location, improvements, and size.

For the Joseph family, the assessed value of their house is $9,000. It's this value that is used to calculate different taxes such as property tax. Knowing your assessed value can help you understand and anticipate tax liability. Understanding these assessments is key but they can change over time due to renovations or changes in property tax laws.

In practice, municipalities might update assessed values periodically. If you think your property's assessed value is too high, some areas allow homeowners to appeal these assessments.
Calculating Annual Property Tax Rate
The annual property tax rate is a percentage that is applied to the assessed value of the property to calculate how much tax the homeowner needs to pay each year. This rate is set by the local government and can vary significantly based on location.

For the Joseph family, this rate is 97.22%. To use it for calculations, it must first be converted from a percentage into a decimal. To do this, you divide by 100, transforming 97.22% into 0.9722.

After this conversion, you can calculate the annual property tax by multiplying the decimal rate by the assessed value. In this case, \(9000 imes 0.9722 = 8750.8\) dollars. The result is the annual property tax amount the Joseph family needs to pay. This process can help you keep track of what you owe and manage your finances accordingly. Remember, being aware of changes in your area's tax rate can affect this calculation.
Exploring Mortgage APR
Mortgage APR, or Annual Percentage Rate, represents the annual cost of a loan to a borrower. APR includes the interest rate and other associated costs or fees. It's expressed as a percentage and gives a comprehensive picture of the cost of borrowing money.

For instance, in the case of the Joseph family's mortgage, the APR is 6%. This means that the annual cost of the mortgage, including interest and any fees, amounts to 6% of the loan principal each year. This is different from the interest rate, which only accounts for the cost of borrowing the principal amount. APR is usually higher because it includes extra costs.

Understanding APR is essential because it helps borrowers compare different loan options. A lower APR indicates a less expensive loan, assuming all other factors remain constant. Therefore, before committing to a mortgage, consider looking at the APR to assess your potential financial obligation accurately.

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Most popular questions from this chapter

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