College

Nadia's taxable income last year was [tex]\$62,650[/tex]. According to the tax table below, how much tax does she have to pay if she files with the "Single" status?

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
\multicolumn{2}{|l|}{\text{If line 43 (taxable income) is -}} & \multicolumn{4}{|c|}{\text{And you are -}} \\
\hline
\text{At} & \begin{array}{l}
\text{But} \\
\text{less} \\
\text{than}
\end{array} & \text{Single} & \text{Married filing jointly} & \text{Married filing separately} & \begin{array}{l}
\text{Head} \\
\text{of a} \\
\text{household}
\end{array} \\
\hline
62,000 & 62,050 & 11,694 & 8,469 & 11,694 & 10,359 \\
\hline
62,050 & 62,100 & 11,706 & 8,476 & 11,706 & 10,371 \\
\hline
62,100 & 62,150 & 11,719 & 8,484 & 11,719 & 10,384 \\
\hline
62,150 & 62,200 & 11,731 & 8,491 & 11,731 & 10,396 \\
\hline
62,200 & 62,250 & 11,744 & 8,499 & 11,744 & 10,409 \\
\hline
62,250 & 62,300 & 11,756 & 8,506 & 11,756 & 10,421 \\
\hline
62,300 & 62,350 & 11,769 & 8,514 & 11,769 & 10,434 \\
\hline
62,350 & 62,400 & 11,781 & 8,521 & 11,781 & 10,446 \\
\hline
62,400 & 62,450 & 11,794 & 8,529 & 11,794 & 10,459 \\
\hline
62,450 & 62,500 & 11,806 & 8,536 & 11,806 & 10,471 \\
\hline
62,500 & 62,550 & 11,819 & 8,544 & 11,819 & 10,484 \\
\hline
62,550 & 62,600 & 11,831 & 8,551 & 11,831 & 10,496 \\
\hline
62,600 & 62,650 & 11,844 & 8,559 & 11,844 & 10,509 \\
\hline
62,650 & 62,700 & 11,856 & 8,566 & 11,856 & 10,521 \\
\hline
62,700 & 62,750 & 11,869 & 8,574 & 11,869 & 10,534 \\
\hline
62,750 & 62,800 & 11,881 & 8,581 & 11,881 & 10,546 \\
\hline
62,800 & 62,850 & 11,894 & 8,589 & 11,894 & 10,559 \\
\hline
62,850 & 62,900 & 11,906 & 8,596 & 11,906 & 10,571 \\
\hline
\end{array}
\]

Based on the table, if Nadia's income is [tex]\$62,650[/tex], she would need to pay [tex]\$11,856[/tex] in taxes.

Answer :

Nadia’s taxable income is \[tex]$62,650. The tax table shows that for someone filing as Single, there are two relevant intervals around this income:

1. The first interval covers incomes from \$[/tex]62,600 up to but not including \[tex]$62,650. In this range, the tax is \$[/tex]11,844.
2. The second interval covers incomes from \[tex]$62,650 up to but not including \$[/tex]62,700. In this range, the tax is \[tex]$11,856.

Since \$[/tex]62,650 is exactly the lower bound of the second interval—and tax tables typically include the lower bound while excluding the upper bound—Nadia’s income falls into this second interval.

Thus, the tax Nadia must pay is

[tex]$$
\$11,\!856.
$$[/tex]