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Three years ago, Jerry purchased a condo. This year his monthly maintenance fee is \(\$ 1,397\) . Twenty percent of this fee is for Jerry's property taxes. How much will Jerry pay this year in property taxes?

Short Answer

Expert verified
Jerry will pay \$3352.8 in property taxes this year.

Step by step solution

01

Identify the total monthly fee

Jerry's total monthly maintenance fee is given as \$1,397. This value is given in the problem.
02

Calculate monthly property tax

Since we know that 20% of the total fee is Jerry's property tax, we can calculate the monthly property tax Jerry pays. We can do this operation using the formula \((20/100) * total fee\), which equates to \((20/100) * 1397 = \$279.4\). This is the amount Jerry pays in property taxes each month.
03

Calculate annual property tax

With the monthly property tax, we can calculate the total amount Jerry pays in a year, because we know there are 12 months in a year. Hence, we multiply the monthly property tax by 12: \(279.4 * 12 = \$3352.8\). So, Jerry pays \$3352.8 this year in property taxes.

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Key Concepts

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

Property Tax Calculation
Calculating property tax can sometimes seem complicated, but breaking it down into steps makes it easy. Here, we started with Jerry's monthly maintenance fee of \(\\(1,397\). This fee isn't just for property upkeep but includes various costs, like property taxes. To find out how much Jerry pays specifically for property taxes, there's a key detail in the problem - 20% of the monthly fee is for property taxes.

To calculate monthly property tax, we use a simple percentage formula. Remember, a percentage is a way to express a portion out of 100. So, 20% of Jerry's fee means 20 out of every 100 parts of his total fee is the tax amount. We calculate it by:
  • Multiplying the total fee \(\\)1,397\) by 20% (or \(\frac{20}{100}\))
  • This gives us \(\$279.4\)
That's how much he pays per month in property taxes.
Percentage Problems
Understanding percentages is crucial in financial algebra and day-to-day calculations. A percentage is a way of expressing a number as a fraction of 100, which helps simplify comparisons and calculations.

In this exercise, we dealt with 20%. The key thing to remember when handling percentage calculations is to convert the percentage into a decimal by dividing by 100. So, 20% becomes 0.20 in calculations. This conversion enables us to find out parts of a whole easily by multiplying.
  • Identify the whole or total (in this case, \(\\(1,397\))
  • Convert the percentage to decimal (20% becomes 0.20)
  • Multiply the total by this decimal: \(1397 * 0.20 = \\)279.4\)
Let's practice determining parts of various totals using percentage problems, which is a handy skill.
Annual Calculation Methods
When it comes to financial matters, annual calculations are a common requirement. Many times, payments are made on a monthly basis, but for budgeting or reporting, you need to know the annual total. To calculate the annual property tax from Jerry's monthly payments, we simply multiply the monthly tax by the number of months in the year.

This method applies to many financial calculations beyond taxes, such as annual expenses or savings.
  • Start with the monthly amount (\(\\(279.4\) for Jerry's property tax)
  • Multiply by 12 months: \(279.4 \times 12 = \\)3352.8\)
This calculation gives us the total property tax Jerry pays annually. Such straightforward multiplication helps convert any monthly figure into an annual total, providing a bigger picture of financial commitments.

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