To calculate the state income tax owed on a [tex]$60,000 per year salary based on the given tax brackets, let's break down the calculations into each bracket.
### First Bracket (Income: $[/tex]0 - [tex]$6,000)
The income within this bracket is taxed at 3%. So, we calculate:
\[
\$[/tex] 6,000 \cdot 0.03 = \[tex]$ 180.00
\]
### Second Bracket (Income: $[/tex]6,001 - [tex]$15,000)
Next, we calculate the tax for the income in the second bracket, which is taxed at 4%. Here, the income range from $[/tex]6,001 to [tex]$15,000 spans $[/tex]8,999 (\[tex]$15,000 - \$[/tex] 6,001 + 1)[tex]$.
\[
\$[/tex] 9,000 \cdot 0.04 = \[tex]$ 360.00
\]
### Third Bracket (Income: $[/tex]15,001 and above)
Finally, we calculate the tax for the income above [tex]$15,000, taxed at 6%. The income above $[/tex]15,000 is [tex]$44,999 (\$[/tex]60,000 - \[tex]$15,001 + 1).
\[
\$[/tex] 44,999 \cdot 0.06 = \[tex]$ 2,699.94
\]
### Total Tax
To find the total tax owed, we sum the taxes calculated for each bracket:
\[
\$[/tex] 180.00 + \[tex]$ 360.00 + \$[/tex] 2,699.94 = \[tex]$ 3,239.94
\]
Hence, the state income tax owed on a $[/tex]60,000 per year salary is [tex]$3,239.94.
Filling in the missing step for the first bracket as requested:
\[
= \$[/tex]6,000 \cdot 3\% = \[tex]$180.00 \\
= \$[/tex]9,000 \cdot 4\% = \[tex]$360.00 \\
= \$[/tex]44,999 \cdot 6\% = \$2,699.94 \\
\]
