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Calculate Effective Tax Rates for Different Tax Filing Statuses
Mathematics (Personal Finance/Taxation)
Grade 10 (High School)
Question Content
Calculate the tax rate (as a percentage, rounded to two decimal places) for each of the following filing statuses with their respective income and tax amounts: 12. Married filing jointly: Income = $93,949.50, Tax = $8,999.35; 13. Married filing jointly: Income = $79,240.35, Tax = $1,285.00; 14. Single: Income = $3,826.40, Tax = $492.70; 15. Head of household: Income = $81,175.64, Tax = $15,260.25
Correct Answer
12. 9.58%; 13. 1.62%; 14. 12.88%; 15. 18.80%
Detailed Solution Steps
1
Step 1: Recall the formula for calculating tax rate: Tax Rate = (Total Tax Paid / Total Taxable Income) × 100%
2
Step 2: For Question 12: Plug in the values: ($8,999.35 / $93,949.50) × 100% ≈ 9.58%
3
Step 3: For Question 13: Plug in the values: ($1,285.00 / $79,240.35) × 100% ≈ 1.62%
4
Step 4: For Question 14: Plug in the values: ($492.70 / $3,826.40) × 100% ≈ 12.88%
5
Step 5: For Question 15: Plug in the values: ($15,260.25 / $81,175.64) × 100% ≈ 18.80%
Knowledge Points Involved
1
Tax Rate Calculation
This refers to the formula used to find the percentage of taxable income that is paid as tax, calculated by dividing total tax by taxable income and multiplying by 100. It is used to understand the effective tax burden on an individual or household, and is applied in personal finance to compare tax obligations across different filing statuses or income levels.
2
Tax Filing Statuses
Filing statuses (Married Filing Jointly, Single, Head of Household) are categories in tax systems that determine tax brackets, deductions, and standard exemptions. Different statuses have different tax treatment, which is why effective tax rates can vary even with similar income levels.
3
Percentage Calculation & Rounding
This involves converting a ratio (tax to income) into a percentage by multiplying by 100, then rounding the result to a specified number of decimal places (here, two). It is a basic arithmetic skill used in finance, statistics, and everyday calculations to present proportional data clearly.
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