According to the 2005 U.S. Federal Income Tax Rate Schedules, the tax due for taxpayers using the Head of Household filing status is given in the following table.
If the Amount of Line 40 Is Over ... | Rut Not Over .., | Filter 011 Line 41 | Of the Amount Over ... |
$0 | $10,450 | 10% | $0 |
$10,450 | $39,800 | $1045 + 15% | $10,450 |
$39,800 | $102,800 | $5447.50 + 25% | $39,800 |
$102,800 | $166,450 | $21,197.50 + 28% | $102,800 |
$166,450 | $326,450 | $39,019.50 + 33% | $166,450 |
$326,450 | $91,819.50 + 35% | $326,450 |
a. Write a piecewise defined function that describes the tax due for this filing status.
b. Determine the tax due for a taxpayer whose taxable income is $20,000.
c. Determine the tax due for a taxpayer whose taxable income is $50,200.
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