Let's solve the problem step-by-step:
Step 1: Calculate Taxable Income
Subtract the standard deduction from the salary to get the taxable income.
Given:
- Salary: \$30,000
- Standard Deduction: \$12,200
Taxable Income \(= \[tex]$30,000 - \$[/tex]12,200 = \$17,800\).
So, the taxable income is \$17,800.
Step 2: Calculate Tax for Each Bracket
We need to apply the progressive tax rates to the taxable income.
- For the first \$9,700 at 10%:
[tex]\[
\text{Tax for the first \[tex]$9,700} = \$[/tex]9,700 \times 0.10 = \$970
\][/tex]
- For the amount over \[tex]$9,700 but less than or equal to \$[/tex]39,475 at 12%:
[tex]\[
\text{Remaining Taxable Income} = \[tex]$17,800 - \$[/tex]9,700 = \$8,100
\][/tex]
[tex]\[
\text{Tax for the remaining \[tex]$8,100} = \$[/tex]8,100 \times 0.12 = \$972
\][/tex]
Step 3: Calculate the Total Tax Owed
Add the tax amounts from each bracket.
[tex]\[
\text{Total Tax} = \[tex]$970 + \$[/tex]972 = \$1,942
\][/tex]
### Summary:
- Taxable Income: \$17,800
- Tax for \[tex]$0 to \$[/tex]9,700: \$970
- Tax for \[tex]$9,701 to \$[/tex]17,800: \$972
- Total Tax Owed: \$1,942
