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Yvonne had a gross income of [tex]$\$[/tex]16,800[tex]$ in 2009. When filing her federal income tax return, she took the standard deduction of $[/tex]\[tex]$5700$[/tex], claimed only herself as an exemption for [tex]$\$[/tex]3650$, and did not have any other adjustments to income. According to the following table, which income tax bracket did she fall into?

\begin{tabular}{|r|r|r|}
\hline \multicolumn{3}{|c|}{ Single } \\
\hline \begin{tabular}{c}
Taxable \\
income is \\
over
\end{tabular} & \begin{tabular}{r}
But not \\
over
\end{tabular} & Bracket \\
\hline \[tex]$0 & \$[/tex]8,350 & 10\% \\
\hline \[tex]$8,350 & \$[/tex]33,950 & 15\% \\
\hline \[tex]$33,950 & \$[/tex]82,250 & 25\% \\
\hline \[tex]$82,250 & \$[/tex]171,550 & 28\% \\
\hline \[tex]$171,550 & \$[/tex]372,950 & 33\% \\
\hline \$372,950 & & 35\% \\
\hline
\end{tabular}


Sagot :

To determine which income tax bracket Yvonne falls into, let's follow a step-by-step process to compute her taxable income and then identify the appropriate tax bracket.

1. Calculate the Taxable Income:
- Yvonne's gross income for the year 2009 is $16,800.
- She took the standard deduction of $5,700.
- She also claimed herself as an exemption for $3,650.

To find her taxable income, we subtract the standard deduction and the exemption from her gross income:
[tex]\[ \text{Taxable Income} = \text{Gross Income} - \text{Standard Deduction} - \text{Exemption} \][/tex]
[tex]\[ \text{Taxable Income} = 16,800 - 5,700 - 3,650 = 7,450 \][/tex]

2. Determine the Tax Bracket:
- According to the provided tax bracket table, we compare Yvonne's taxable income of \$7,450 to the income thresholds.

From the table:
[tex]\[ \begin{array}{|r|r|r|} \hline \text{Over} & \text{But not over} & \text{Bracket} \\ \hline 0 & 8,350 & 10 \% \\ \hline 8,350 & 33,950 & 15 \% \\ \hline 33,950 & 82,250 & 25 \% \\ \hline 82,250 & 171,550 & 28 \% \\ \hline 171,550 & 372,950 & 33 \% \\ \hline 372,950 & & 35 \% \\ \hline \end{array} \][/tex]

- Yvonne's taxable income of [tex]$7,450 falls into the first bracket, which covers incomes over $[/tex]0 but not over $8,350.

Therefore, Yvonne falls into the 10% tax bracket.