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Sagot :
To calculate the state income tax owed on a [tex]$60,000 per year salary, we'll break it down by the given income brackets and their corresponding tax rates.
1. For the first bracket ($[/tex]0 - [tex]$6,000 at 3%):
- The income in this bracket is $[/tex]6,000.
- The tax for this bracket is calculated as [tex]$6,000 \times 3\% = \$[/tex]180.00[tex]$. 2. For the second bracket ($[/tex]6,001 - [tex]$15,000 at 4%): - The income in this bracket is $[/tex]15,000 - [tex]$6,000 = $[/tex]9,000.
- The tax for this bracket is calculated as [tex]$9,000 \times 4\% = \$[/tex]360.00[tex]$. 3. For the third bracket ($[/tex]15,001 and above at 6%):
- The income in this bracket is [tex]$60,000 - $[/tex]15,000 = [tex]$45,000. - The tax for this bracket is calculated as $[/tex]45,000 \times 6\% = \[tex]$2,700.00$[/tex].
So, the total state income tax owed is the sum of the taxes for each bracket:
[tex]\[ \text{Total Tax} = \$180.00 + \$360.00 + \$2,700.00 = \$3,240.00 \][/tex]
Thus, we can fill those amounts step-by-step in the corresponding placeholders:
[tex]\[ \begin{array}{l} \$6,000 \cdot 3\% = \$180 \\ \$9,000 \cdot 4\% = \$360 \\ \$45,000 \cdot 6\% = \$2,700 \end{array} \][/tex]
- The tax for this bracket is calculated as [tex]$6,000 \times 3\% = \$[/tex]180.00[tex]$. 2. For the second bracket ($[/tex]6,001 - [tex]$15,000 at 4%): - The income in this bracket is $[/tex]15,000 - [tex]$6,000 = $[/tex]9,000.
- The tax for this bracket is calculated as [tex]$9,000 \times 4\% = \$[/tex]360.00[tex]$. 3. For the third bracket ($[/tex]15,001 and above at 6%):
- The income in this bracket is [tex]$60,000 - $[/tex]15,000 = [tex]$45,000. - The tax for this bracket is calculated as $[/tex]45,000 \times 6\% = \[tex]$2,700.00$[/tex].
So, the total state income tax owed is the sum of the taxes for each bracket:
[tex]\[ \text{Total Tax} = \$180.00 + \$360.00 + \$2,700.00 = \$3,240.00 \][/tex]
Thus, we can fill those amounts step-by-step in the corresponding placeholders:
[tex]\[ \begin{array}{l} \$6,000 \cdot 3\% = \$180 \\ \$9,000 \cdot 4\% = \$360 \\ \$45,000 \cdot 6\% = \$2,700 \end{array} \][/tex]
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