Applied Math - Percentages - Taxes (America)

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Introduction

The U.S. income tax table for 2023 looks like this:

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Tax Rate Single Married filing jointly Married filing separately Head of household
10% $0 to $11,000 $0 to $22,000 $0 to $11,000 $0 to $15,700
12% $11,001 to $44,725 $22,001 to $89,450 $11,001 to $44,725 $15,701 to $59,850
22% $44,726 to $95,375 $89,451 to $190,750 $44,726 to $95,375 $59,851 to $95,350
24% $95,376 to $182,100 $190,751 to $364,200 $95,376 to $182,100 $95,351 to $182,100
32% $182,101 to $231,250 $364,201 to $462,500 $182,101 to $231,250 $182,101 to $231,250
35% $231,251 to $578,125 $462,501 to $693,750 $231,251 to $346,875 $231,251 to $578,100
37% $578,126 or more $693,751 or more $346,876 or more $578,101 or more

Some people have a misconception about the tax system. If one person is single and makes $44,725 and another single person makes $44,726, the first person does not pay 12% and the second person does not pay 22%. Instead, the first $11,000 is taxed at the 10% rate. Any dollar made over $11,000 (but under $44,725) gets taxed at the 12% rate.

Example:

1.

A married couple filing jointly made $\(200,000\) (after adjustments and deductions) in 2023. How much should they expect to pay in income tax?

We use the column titled "Married filing jointly". The first $22,000 they made in 2023 is taxed at 10%. We calculate 10% of $22,000 by multiplying by the decimal form of the percentage.

Tax on the first $22,000: \(0.10 \cdot \$22,000 = \$2,200\)

The table tells us that they are taxed 12% for any dollar made between $22,001 and $89,450. As this couple has made $\(200,000\), they have made every dollar in income between these two numbers.

Income between $\(22,001\) and $\(89,450\) is taxed at 12%:

\(0.12 \cdot (\$89,450 - \$22,001) =\)

\(0.12 \cdot \$67,449 =\)

\(\$8,093.88\)

This will be added to the $\(2,200\) in taxes for the first $\(22,000\). We continue in this fashion until we have paid tax on all $\(200,000\) earned in income.

The next step in the tax table is 22% tax on dollars made between $\(89,451\) and $\(190,750\). The couple made $\(200,000\), so they pay tax on every dollar between these two numbers.

\(0.22 \cdot (\$190,750 - \$89,451) =\)

\(0.22 \cdot \$101,299 =\)

\(\$22,285.78\)

Finally, they will be taxed \(24\)% on every dollar between $\(190,751\) and $\(200,000\).

\(0.24 \cdot (\$200,000 - \$190,751) =\)

\(0.24 \cdot \$9,249 =\)

\(\$2,219.76\)

Adding them together, this married couple’s total income tax is

\[\$2,200 + \$8,093.88 + \$22,285.78 + \$2,219.76 = \$34,799.42\]

Practice Problems

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Tax Rate Single Married filing jointly Married filing separately Head of household
10% $0 to $11,000 $0 to $22,000 $0 to $11,000 $0 to $15,700
12% $11,001 to $44,725 $22,001 to $89,450 $11,001 to $44,725 $15,701 to $59,850
22% $44,726 to $95,375 $89,451 to $190,750 $44,726 to $95,375 $59,851 to $95,350
24% $95,376 to $182,100 $190,751 to $364,200 $95,376 to $182,100 $95,351 to $182,100
32% $182,101 to $231,250 $364,201 to $462,500 $182,101 to $231,250 $182,101 to $231,250
35% $231,251 to $578,125 $462,501 to $693,750 $231,251 to $346,875 $231,251 to $578,100
37% $578,126 or more $693,751 or more $346,876 or more $578,101 or more

1. A person who files as head of household made $\(80,000\) (after adjustments and deductions) in 2023. How much should they expect to pay in income tax?



2. A person who files as single made $\(100,000\) (after adjustments and deductions) in 2023. How much should they expect to pay in income tax?

Theory Questions

1. What can reduce a person’s taxes?



2. Some have argued that America should have a flat tax. A flat tax would mean everyone pays the same percentage tax on their income, regardless of how high or low their income is. Do you think a flat tax would be a better tax system? Why or why not?



3. When did the tax table first begin development in our country?