(A) Explanation Given: The Kansas State Income Tax due is 3.50% of the taxable income if the taxable income is between $0 and $15,000. The Kansas State Income Tax due is $525 plus 6.25% of the taxable income if the taxable income is between $15,000 and $30,000. The Kansas State Income Tax due is $1,462.5 plus 6.45% of the taxable income if the taxable income excess over is $30,000. Calculation: The function T ( x ) is the tax due, in dollars if x income in dollars. It is give that, the Kansas State Income Tax due is 3.50% of the taxable income if the taxable income is between $0 and $15,000. Then the first line of Table 5 implies that T ( x ) = 0.035 x if 0 ≤ x ≤ 15 , 000 . It is given that, the Kansas State Income Tax due is $525 plus 6.25% of the taxable income if the taxable income is between $15,000 and $30,000. Then x − 15 , 000 represents the amount of taxable income on that the tax rate is 6.25 % = 0.0625 . The amount 0.0625 ( x − 15 , 000 ) represents the tax due. Thus, the total tax due is, T ( x ) = 525 + 0.0625 ( x − 15 , 000 ) = 525 + 0.0625 x − 937.5 = − 412.5 + 0.0625 x if 15 , 000 < x ≤ 30 , 000 It is given that, the Kansas State Income Tax due is $1,462.5 plus 6.45% of the taxable income if the taxable income excess over is $60,000. Then x − 15 , 000 represents the amount of taxable income on that the tax rate is 6.45 % = 0.0645 . The amount 0.0645 ( x − 15 , 000 ) represents the tax due (B) To determine To sketch: The graph of the function T ( x ) . (C) To determine To find: The tax due on a taxable income of $20,000 and of $35,000. (D) To determine To explain: Whether it would be better for a married couple in Kansas with two equal incomes to file jointly or not.

Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

13th Edition

ISBN: 9780321869838

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

Publisher: PEARSON

See similar textbooks

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…

Videos

Question

Chapter 1.2, Problem 72E

(A)

To determine

To write: A piecewise definition for the tax due T(x) on an income of x dollars.

(B)

To determine

To sketch: The graph of the function T(x).

(C)

To determine

To find: The tax due on a taxable income of $20,000 and of $35,000.

(D)

To determine

To explain: Whether it would be better for a married couple in Kansas with two equal incomes to file jointly or not.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1.2, Problem 71E

Chapter 1.2, Problem 73E

Students have asked these similar questions

42 68 (F) Round to the mean as needed Class Frequency, f Midpoint Relative frequency Cumulative frequency 17:27 18 22 0.05 18 28-38 42 ☐

Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.

Chapter 1 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)

Ch. 1.1 - Matched Problem 1 Sketch the graph of each...Ch. 1.1 - Matched Problem 2 Determine which of the following...Ch. 1.1 - Matched Problem 3 Find the domain of the function...Ch. 1.1 - Matched Problem 4 Use the functions in Example 4...Ch. 1.1 - Matched Problem 5 Find the domains of functions F,...Ch. 1.1 - Matched Problem 6 Repeat Example 6 for f(x) = x2 ...Ch. 1.1 - Matched Problem 7 The financial department in...Ch. 1.1 - To graph the equation y = x3 + 3x, we use...Ch. 1.1 - Prob. 2ED Ch. 1.1 - In Problems 18, use point-by-point plotting to...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

A piecewise definition for the tax due T ( x ) on an income of x dollars.

Concept explainers

Videos

To write: A piecewise definition for the tax due T(x) on an income of x dollars.

To sketch: The graph of the function T(x).

To find: The tax due on a taxable income of $20,000 and of $35,000.

To explain: Whether it would be better for a married couple in Kansas with two equal incomes to file jointly or not.

Want to see the full answer?

Chapter 1 Solutions