# Mathematics – Algebraic Number Theory

Marriage penalty eliminated.
The value of the expression 4220 + 0.25(x – 30,650)is the 2006 federal income tax for a single taxpayer with taxable income of x dollars, where x is over \$30,650 but not over \$74,200.
a) Simplify the expression.
b) Find the amount of tax for a single taxpayer with taxable income of \$40,000.
c) Who pays more, a married couple with a joint taxable income of \$80,000 or two single taxpayers with taxable incomes of \$40,000 each?

a) Simplify the expression.
4220 + .25x – .25*30650
4220+.25x – 7226.5
.25x + -3442.5

a) 4220 + 0.25(x – 30,650)
4220 + (.25x – .25(30,650))
4200 + (.25x – 7,662.50)

b)4220+ 40000/4 – 30650/4
4220+10000-7662.5
4220 + (2,337.5) = \$6,557.50

c) THIS IS THE ONE GIVING ME THE PROBLEM I’M GETTING TO SOLUTIONS..
8440 + 8000/4-61300/4
8440 + 2000 – 15325
13115
2*6557.5 = 13115

They pay the same, \$13,115
4220 + (.25(80,000) – 7,662.5)
4220 + (20,000 – 7,662.5)
4220+ (12337.5) = \$16,557.5

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