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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Text Transcription for Educational Website
**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.)
\[
T(x) =
\begin{cases}
100,000 < x \leq 170,050 \\
0.37x - 37045 & \text{if } 170,050 < x \leq
\end{cases}
\]
### Explanation of Piecewise Function
The expression for T(x) is partially completed. It's structured as a piecewise function, which defines different expressions for T(x) depending on the range of x. For `100,000 < x ≤ 170,050`, a specific rule is applied which is not fully visible. For the range `170,050 < x`, the expression is `0.37x - 37045`. This setup is common in tax calculations where different income brackets are taxed at different rates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79384b4f-f6f5-4976-8d61-12e63a60eeb0%2Fe1d84d6b-3ad6-4397-989c-f4894c801552%2Fecxv8z9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Text Transcription for Educational Website
**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.)
\[
T(x) =
\begin{cases}
100,000 < x \leq 170,050 \\
0.37x - 37045 & \text{if } 170,050 < x \leq
\end{cases}
\]
### Explanation of Piecewise Function
The expression for T(x) is partially completed. It's structured as a piecewise function, which defines different expressions for T(x) depending on the range of x. For `100,000 < x ≤ 170,050`, a specific rule is applied which is not fully visible. For the range `170,050 < x`, the expression is `0.37x - 37045`. This setup is common in tax calculations where different income brackets are taxed at different rates.

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 | (a) Enter the amount from line 15 | (b) Multiplication amount | (c) Multiply (a) by (b) | (d) Subtraction amount | (e) Tax Subtract (d) from (c). The result is the amount of tax due |
|-----------------------------|----------------------------------|--------------------------|------------------------|------------------------|-------------------------------------------------------------------|
| At least $100,000 but not over $170,050 | | 24% (0.24) | | $6,164.50 | |
| Over $170,050 but not over $215,950 | | 32% (0.32) | | $19,768.50 | |
| Over $215,950 but not over $539,900 | | 35% (0.35) | | $26,247.00 | |
| Over $539,900 | | 37% (0.37) | | $37,045.00 | |
1. Find \( T(160,000), T(200,000), T(400,000) \) and \( T(539,900.01) \).
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?
Expert Solution

Step 1: Given
To find the tax amount for these taxable incomes of .
Step by step
Solved in 3 steps with 13 images

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