   Chapter 9.2, Problem 49E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Federal income tax The tax owed by a married couple filing jointly and their tax rates can be found in the following tax rate schedule.Married Filing Jointly or Qualifying Widow(er) If taxable income is over— But not over— The tax rate is: $0$18,150 10% $18,150$73,800 15% $73,800$148,850 25% $148,850$226,850 28% $226,850$405,100 33% $405,100$457,600 35% \$457,600 no limit 39.6% Source: Internal Revenue ServiceFrom this schedule, the tax rate R(x) is a function of taxable income x, as follows. R ( x ) = { 0.10  if    0 ≤ x ≤ 18 , 150 0.15   if    18,150< x ≤ 73 , 800 0.25    if     73,800< x ≤ 148 , 850 0.28    if      148,850< x ≤ 226 , 850 0.33    if     226,850< x ≤ 405 , 100 0.35    if     405,100< x ≤ 457 , 600 0.396   if                   x > 457 , 600 Identify any discontinuities in R(x).

To determine

The discontinuity in the tax rate R(x).

Explanation

Given information:

The tax rate R(x) is a function of taxable income x, as follow:

R(x)={0.10if0x181500.15if18150<x738000.25if73800<x1488500.28if148850<x2268500.33if226850<x4051000

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