Last year, Paul gave $11132.72 to his local church, which he calculated as 20.3% of his yearly salary. How much money does Paul make in a year? dollars
Last year, Paul gave $11132.72 to his local church, which he calculated as 20.3% of his yearly salary. How much money does Paul make in a year? dollars
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Problem Statement:**
Last year, Paul gave $11132.72 to his local church, which he calculated as 20.3% of his yearly salary. How much money does Paul make in a year?
**Solution:**
To find Paul's yearly salary, we can set up the following equation:
\[ \$11132.72 = 20.3\% \times \text{Paul's yearly salary} \]
First, convert the percentage to a decimal:
\[ 20.3\% = \frac{20.3}{100} = 0.203 \]
Next, let \( S \) represent Paul's yearly salary and set up the equation:
\[ \$11132.72 = 0.203 \times S \]
To solve for \( S \), divide both sides by 0.203:
\[ S = \frac{\$11132.72}{0.203} \]
\[ S \approx \$54842.86 \]
Therefore, Paul's yearly salary is approximately $54,842.86.
**Answer:**
Paul makes approximately $54,842.86 per year.
**Graph/Diagram Explanation:**
There are no graphs or diagrams provided in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F308ceb38-0706-4842-834f-0067ef9276f7%2F2c2b5a64-e9fe-4017-ae79-051c6535f640%2F4hkpoy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Last year, Paul gave $11132.72 to his local church, which he calculated as 20.3% of his yearly salary. How much money does Paul make in a year?
**Solution:**
To find Paul's yearly salary, we can set up the following equation:
\[ \$11132.72 = 20.3\% \times \text{Paul's yearly salary} \]
First, convert the percentage to a decimal:
\[ 20.3\% = \frac{20.3}{100} = 0.203 \]
Next, let \( S \) represent Paul's yearly salary and set up the equation:
\[ \$11132.72 = 0.203 \times S \]
To solve for \( S \), divide both sides by 0.203:
\[ S = \frac{\$11132.72}{0.203} \]
\[ S \approx \$54842.86 \]
Therefore, Paul's yearly salary is approximately $54,842.86.
**Answer:**
Paul makes approximately $54,842.86 per year.
**Graph/Diagram Explanation:**
There are no graphs or diagrams provided in the image.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
