You filed a tax return on a taxable income of $\$27,178$. The tax was $\$4,334 + 30\%$ of the amount over $\$17,422$. What was your total income tax? Round your answer to two decimal places.
We are given a taxable income of \(\$27,178\). The tax calculation involves a base tax of \(\$4,334\) plus an additional \(\$30\%\) of the income exceeding the threshold of \(\$17,422\). To find the total tax, we first need to determine the amount by which the income exceeds the threshold.
First, calculate the excess income subject to the additional tax rate. This is done by subtracting the threshold from the total taxable income:
\[\text{Excess income} = \$27,178 - \$17,422 = \$9,756.\]
Next, calculate the additional tax portion, which is \(\$30\%\) of this excess income:
\[\text{Additional tax} = 0.30 \times \$9,756 = \$2,926.80.\]
Finally, to find the total tax, we add the base tax to the additional tax portion:
\[\text{Total tax} = \$4,334 + \$2,926.80 = \$7,260.80.\]
Thus, the total income tax to be paid on the taxable income of \(\$27,178\) is \(\$7,260.80\).
In real life, understanding tax brackets is crucial for personal financial planning. When you know how much tax you will pay based on your income, you can better budget for your expenses throughout the year. For instance, if you receive a salary increase or a bonus, being aware of how your taxable income affects your tax liability helps you anticipate your tax return or potential tax bill. This foundational understanding helps individuals manage their finances responsibly and make informed decisions about their savings and investments.