if 0 < x < 20000if 20000 < x < 80000if 80000 < x < 171000if 171000 < x< 325000if 325000 < x < 414000if 414000 < x < 622000.10x.12(x – 20000) + 2000.22(x – 80000) + 9200.24(x – 171000) + 29200.32(x – 325000) + 66160.35(x – 414000) + 94640.37(x – 622000) + 167440 if x > 622000T(x) =An Interactive Graph can be found here: Tax Brackets, 21. Using the information and equations provided, find AND interpret the following values. Make sure to write your answers in functions notation:o The income tax for someone that makes $40,000 a year.o The income tax for someone that makes $400,000 a year.o The income tax for someone that makes $$700,000 a year.2. Using the information and equations provided, find AND interpret the following values:o T-1(8000)• T-1(30000)o T-1(100000)3. Suppose the IRS submits the following functions as improvements for the 2021 year. Interpret what each one means in context:о Т(z) + 1000o T(x + 1000)

Answered: if 0 < x < 20000 if 20000 < æ < 80000…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.6: The Algebra Of Matrices

Problem 41E

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Question

if 0 < x < 20000
if 20000 < x < 80000
if 80000 < x < 171000
if 171000 < x< 325000
if 325000 < x < 414000
if 414000 < x < 622000
.10x
.12(x – 20000) + 2000
.22(x – 80000) + 9200
.24(x – 171000) + 29200
.32(x – 325000) + 66160
.35(x – 414000) + 94640
.37(x – 622000) + 167440 if x > 622000
T(x) =
An Interactive Graph can be found here: Tax Brackets, 2
1. Using the information and equations provided, find AND interpret the following values. Make sure to write your answers in functions notation:
o The income tax for someone that makes $40,000 a year.
o The income tax for someone that makes $400,000 a year.
o The income tax for someone that makes $$700,000 a year.
2. Using the information and equations provided, find AND interpret the following values:
o T-1(8000)
• T-1(30000)
o T-1(100000)
3. Suppose the IRS submits the following functions as improvements for the 2021 year. Interpret what each one means in context:
о Т(z) + 1000
o T(x + 1000)

Expert Solution

Step 1

Since question number is not mentioned, I am solving q-1, if you need solution of others then please resubmit the question and mention question number.

Given function is:

$T (x) = \{\begin{cases} . 10 x & if 0 \leq x \leq 20000 & \dots \dots (1) \\ . 12 (x - 20000) + 2000 & if 20000 \leq x \leq 80000 & \dots \dots (2) \\ . 22 (x - 80000) + 9200 & if 80000 \leq x \leq 171000 & \dots \dots (3) \\ . 24 (x - 171000) + 29200 & if 171000 \leq x \leq 325000 & \dots \dots (4) \\ . 32 (x - 325000) + 66160 & if 325000 \leq x \leq 414000 & \dots \dots (5) \\ . 35 (x - 414000) + 94640 & if 414000 \leq x \leq 622000 & \dots \dots (6) \\ . 37 (x - 622000) + 167440 & if x \geq 622000 & \dots \dots (7) \end{cases}$

Here, $T (x)$ represents income tax function and $x$ represents income per year.

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