Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
The tables to the right show recent state income tax schedules for individuals and married couples.
(A) Write a piecewise definition for the tax due T(x) on an income of x dollars for an individual.
if 0≤x≤ 15,000
if 15,000 < x≤ 30,000
if 30,000 < x
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
T(x) =
SINGLE, MARRIED FILING SEPARATELY, OR
HEAD OF HOUSEHOLD
If taxable income is
Over
$0
$15,000 $30,000
$30,000
But Not Over Tax Due Is
$15,000
If taxable income is
Over
$0
MARRIED FILING JOINTLY OR QUALIFIED
SURVIVING SPOUSE
$60,000
3% of taxable income
$450 plus 6.15% of excess
over $15,000
$30,000 $60,000
$1,372.50 plus 6.8% of
excess over $30,000
But Not Over Tax Due Is
$30,000
3% of taxable income
$900 plus 6.15% of excess
over $30,000
$2,745 plus 6.8% of excess
over $60,000
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Transcribed Image Text:The tables to the right show recent state income tax schedules for individuals and married couples. (A) Write a piecewise definition for the tax due T(x) on an income of x dollars for an individual. if 0≤x≤ 15,000 if 15,000 < x≤ 30,000 if 30,000 < x (Simplify your answers. Use integers or decimals for any numbers in the expressions.) T(x) = SINGLE, MARRIED FILING SEPARATELY, OR HEAD OF HOUSEHOLD If taxable income is Over $0 $15,000 $30,000 $30,000 But Not Over Tax Due Is $15,000 If taxable income is Over $0 MARRIED FILING JOINTLY OR QUALIFIED SURVIVING SPOUSE $60,000 3% of taxable income $450 plus 6.15% of excess over $15,000 $30,000 $60,000 $1,372.50 plus 6.8% of excess over $30,000 But Not Over Tax Due Is $30,000 3% of taxable income $900 plus 6.15% of excess over $30,000 $2,745 plus 6.8% of excess over $60,000
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