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Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable earning and 14% on the remainder. Find constants a and b for the tax function Ja +0.18x 7(x) - x 19,500 b+0.14(x-19,500) x> 19,500 such that lim 7(x) = 0 and lim x-19,500 a-0 b= T(x) exists.

Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable earning and 14% on the remainder. Find constants a and b for the tax function Ja +0.18x 7(x) - x 19,500 b+0.14(x-19,500) x> 19,500 such that lim 7(x) = 0 and lim x-19,500 a-0 b= T(x) exists.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable earning and 14% on the remainder. Find constants a and b for the tax function 7(x) - Ja + 0.18x [b+0.14(x-19,500) x 19,500 x> 19,500 such that lim T(x) = 0 and 40 a0 b lim x-19,500 7(x) exists.
Transcribed Image Text:Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable earning and 14% on the remainder. Find constants a and b for the tax function 7(x) - Ja + 0.18x [b+0.14(x-19,500) x 19,500 x> 19,500 such that lim T(x) = 0 and 40 a0 b lim x-19,500 7(x) exists.
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