Math Problem Statement
Solution
From the image, the problem involves calculating federal income taxes and effective tax rates for Deisha based on her taxable income of $51,500.
Step-by-Step Explanation:
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Identify Deisha's tax brackets:
- The first $9,525 is taxed at 10%.
- The next income from $9,526 to $38,700 is taxed at 12%.
- The remaining income from $38,701 to $51,500 is taxed at 22%.
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Tax Calculations:
- For the 10% bracket:
- For the 12% bracket:
- For the 22% bracket:
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Total Federal Taxes: Adding the amounts from all three brackets:
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Effective Tax Rate: The effective tax rate is calculated as: Substituting values:
Final Answers:
- Total Federal Taxes Deisha Pays: $7,269.16 (rounded appropriately).
- Effective Tax Rate: 14.1%.
Would you like a breakdown of the individual steps, or do you have any further questions?
Here are five related questions to deepen your understanding:
- How would an increase in taxable income to $60,000 affect Deisha's tax liability and effective tax rate?
- What is the difference between the marginal and effective tax rates, and why are they important?
- If Deisha had additional deductions lowering her taxable income to $40,000, how would her taxes change?
- How does the tax calculation differ for single versus married filing statuses?
- How can tax credits, as opposed to deductions, affect the total tax owed?
Tip: Always separate taxable income into its respective brackets before applying tax rates to avoid calculation errors!
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Math Problem Analysis
Mathematical Concepts
Tax brackets and marginal tax rates
Effective tax rate calculation
Formulas
Tax for bracket = (Upper limit of bracket - Lower limit of bracket) × Tax rate
Total Tax Paid = Sum of taxes for all applicable brackets
Effective Tax Rate = (Total Tax Paid ÷ Taxable Income) × 100
Theorems
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Suitable Grade Level
Grades 9-12
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