Let's calculate the federal income tax owed on a \[tex]$30,000 salary following the given tax rates and step-by-step instructions.
### Step-by-Step Solution:
1. Determine the taxable income:
- Gross salary = \$[/tex]30,000
- Standard deduction = \[tex]$12,200
- Taxable income = Gross salary - Standard deduction
\[
\text{Taxable Income} = 30,000 - 12,200 = 17,800
\]
2. Apply the tax rates to the taxable income using the provided tax brackets:
- For the first \$[/tex]9,700 at 10%:
[tex]\[
\$9,700 \times 0.10 = \$970
\][/tex]
- For the next portion from \[tex]$9,701 to \$[/tex]17,800:
[tex]\[
\text{Remaining taxable income} = 17,800 - 9,700 = 8,100
\][/tex]
[tex]\[
\$8,100 \times 0.12 = \$972
\][/tex]
3. Sum up the calculated tax from each tax bracket:
[tex]\[
\text{Total Tax} = \$970 + \$972 = \$1,942
\][/tex]
### Conclusion:
The total federal income tax owed on a \[tex]$30,000 salary is \(\$[/tex]1,942\). The taxable income was calculated to be \[tex]$17,800 after subtracting the standard deduction of \$[/tex]12,200.
