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To calculate the federal income tax owed on an $87,300 salary using the given progressive tax rate, let's break down the steps.

### Step 1: Adjust the Salary for the Standard Deduction
The standard deduction is $12,200, so subtract this from the salary:
\[
87,300 - 12,200 = 75,100
\]
This gives us a taxable income of $75,100.

### Step 2: Apply the Progressive Tax Rates
We now calculate the tax based on the given tax brackets for the taxable income:

1. **For the first $9,700** (0 to 9,700):
   \[
   9,700 \times 0.10 = 970
   \]

2. **For the next portion ($9,701 to $39,475)**:
   \[
   (39,475 - 9,700) = 29,775
   \]
   \[
   29,775 \times 0.12 = 3,573
   \]

3. **For the portion from $39,476 to $84,200**:
   The taxable income ($75,100) falls within this range, so we calculate for the portion up to $75,100:
   \[
   (75,100 - 39,476) = 35,624
   \]
   \[
   35,624 \times 0.22 = 7,837.28
   \]

### Step 3: Total Tax
Now, sum the taxes from all the brackets:
\[
970 + 3,573 + 7,837.28 = 12,380.28
\]

Thus, the federal income tax owed on an $87,300 salary is approximately **$12,380.28**.

Would you like more details or have any questions? Here are some related questions:

1. How would the tax change if the salary were $100,000?
2. What would happen if the standard deduction were different?
3. How do tax brackets affect overall tax liability?
4. What are other deductions that could reduce taxable income?
5. How does progressive tax differ from flat tax systems?

**Tip:** Always check for any available tax credits or additional deductions that can reduce your taxable income further!

If the federal government used the progressive tax rate below for individual income tax, calculate the federal income tax owed on an $87,300 salary.

Learn how to calculate federal income tax on an $87,300 salary with a step-by-step breakdown of tax brackets, deductions, and rates. This problem demonstrates key concepts of progressive taxation, including the impact of different income ranges. Suitable for high school students.

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