Based on the given progressive tax rates and the salary of [tex]$60,000, we will calculate the income tax for each bracket step by step.
1. First Bracket (0-$[/tex]6,000[tex]$ at 3%):
\[
\$[/tex]6,000 \times 3\% = \[tex]$6,000 \times 0.03 = \$[/tex]180.00
\]
2. Second Bracket ([tex]$6,001 - $[/tex]15,000[tex]$ at 4%):
The amount in this range is calculated by taking the difference between \$[/tex]15,000 and the lower limit of this bracket (\[tex]$6,000):
\[
(15,000 - 6,000) \times 4\% = \$[/tex]9,000 \times 0.04 = \[tex]$360.00
\]
3. Third Bracket ($[/tex]15,001+ at 6%):
The amount in this range is calculated by taking the difference between the salary (\[tex]$60,000) and the lower limit of this bracket (\$[/tex]15,000):
[tex]\[
(60,000 - 15,000) \times 6\% = \$45,000 \times 0.06 = \$2,700.00
\][/tex]
Therefore, the state income tax owed on a \[tex]$60,000 per year salary is:
- From the first bracket: \$[/tex]180.00
- From the second bracket: \[tex]$360.00
- From the third bracket: \$[/tex]2,700.00
The calculations result in:
[tex]\[
\$180.00, \$360.00, \$2,700.00
\][/tex]
So, filling in the answers sequentially in the given format:
[tex]\[
\$6,000 \cdot 3\% = \$180.00 \\
\][/tex]
Therefore, the correct answer in the first blank is [tex]\( \$180.00 \)[/tex].
