Below are the instructions to calculate taxes due at the 2022 Tax Rate Schedule for people filing as "single" with a taxable income over $100,000. Let T(x) represent the taxes due for someone with a taxable income of x. Schedule A - Single Taxable income from line 15 At least $100,000 but not over $170,050 Over $170,050 but not over $215,950 Over $215,950 but not over $539,900 Over $539,900 (a) Enter the amount from line 15 (b) Multiplication amount 24% (0.24) 32% (0.32) 35% (0.35) 37% (0.37) (c) Multiply (a) by (b) 1. Find T(160,000), T(200,000), T(400,000) and T(539,900.01). (d) Subtraction amount $6164.50 $19,768.50 $26,247.00 $37,045.00 (e) Tax Subtract (d) from (c). The result is the amount of tax due

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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3. When the taxable income changes from just below $215,950 to just above $215,950, what
happens to the tax amount?
4. Is it possible that a raise at work can leave you with less take-home income?
5. Is T(x) a function? Explain your reasoning.
6. Express T(x) as a piecewise defined function. (I've started the notation for you.)
100,000 < x≤ 170,050
170,050 < x <
T(x) =
0.37x37045
if
Transcribed Image Text:3. When the taxable income changes from just below $215,950 to just above $215,950, what happens to the tax amount? 4. Is it possible that a raise at work can leave you with less take-home income? 5. Is T(x) a function? Explain your reasoning. 6. Express T(x) as a piecewise defined function. (I've started the notation for you.) 100,000 < x≤ 170,050 170,050 < x < T(x) = 0.37x37045 if
Below are the instructions to calculate taxes due at the 2022 Tax Rate Schedule for people filing
as "single" with a taxable income over $100,000. Let T(x) represent the taxes due for someone
with a taxable income of x.
Schedule A - Single
Taxable
income from
line 15
At least
$100,000 but
not over
$170,050
Over
$170,050 but
not over
$215,950
Over
$215,950 but
not over
$539,900
Over
$539,900
(a)
Enter the
amount from
line 15
(b)
Multiplication
amount
24% (0.24)
32% (0.32)
35% (0.35)
37% (0.37)
(c)
Multiply (a)
by (b)
1. Find T(160,000), T(200,000), T(400,000) and T(539,900.01).
(d)
Subtraction
amount
$6164.50
$19,768.50
$26,247.00
$37,045.00
(e)
Tax
Subtract (d)
from (c). The
result is the
amount of tax
due
Let's explore what happens when individuals change tax brackets.
2. When the taxable income changes from just below 170,050 to just over 170,050, what happens
to the tax amount?
Transcribed Image Text:Below are the instructions to calculate taxes due at the 2022 Tax Rate Schedule for people filing as "single" with a taxable income over $100,000. Let T(x) represent the taxes due for someone with a taxable income of x. Schedule A - Single Taxable income from line 15 At least $100,000 but not over $170,050 Over $170,050 but not over $215,950 Over $215,950 but not over $539,900 Over $539,900 (a) Enter the amount from line 15 (b) Multiplication amount 24% (0.24) 32% (0.32) 35% (0.35) 37% (0.37) (c) Multiply (a) by (b) 1. Find T(160,000), T(200,000), T(400,000) and T(539,900.01). (d) Subtraction amount $6164.50 $19,768.50 $26,247.00 $37,045.00 (e) Tax Subtract (d) from (c). The result is the amount of tax due Let's explore what happens when individuals change tax brackets. 2. When the taxable income changes from just below 170,050 to just over 170,050, what happens to the tax amount?
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