Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 8 - Personal Finance - 8.2 Income Tax - Exercise Set 8.2 - Page 507: 25

Answer

See below:

Work Step by Step

(a) In order to calculate gross pay multiply pay per hour and working hours for week: Weekly gross pay=Job pay *Weekly working hours} =$8.50 *20 hr =170 (b) In order to calculate weekly federal taxes, multiply the percentage of withheld federal tax with gross pay. \[\begin{align} & \text{Weekly}\,\text{federal}\,\text{taxes}=\text{Percent}\,\text{of}\,\text{federal}\,\text{taxes}\,\text{withheld}\times \text{Gross}\,\text{pay} \\ & =10percent\times \$170\\&=0.10\times\$170\\&=\$17\end{align}\] (c) In order to calculate weekly FICA taxes, multiply percent of FICA taxes withheld with gross pay. \[\begin{align} & \text{Weekly}\,\text{FICA}\,\text{taxes}=\text{Percent}\,\text{of}\,\text{FICA}\,\text{taxes}\,\text{withheld}\times \text{Gross}\,\text{pay} \\ & =5.65percent\times \$170\\&=0.0565\times\$170\\&=\$9.61\end{align}\] (d) In order to calculate weekly state taxes, multiply percent of state taxes withheld with gross pay. \[\begin{align} & \text{Weekly}\,\text{state}\,\text{taxes}=\text{Percent}\,\text{state}\,\text{taxes}\,\text{withheld}\times \text{Gross}\,\text{pay} \\ & =3percent\times \$170\\&=0.03\times\$170\\&=\$5.1\end{align}\]   (e) In order to calculate weekly net pay, deduct the sum of all taxes from gross pay. \[\begin{align} & \text{Weekly}\,\text{net}\,\text{pay}=\text{Gross}\,\text{pay}-\left( \text{Federal}\,\text{taxes}+\text{FICA}\,\text{taxes}+\text{State}\,\text{taxes} \right) \\ & =\$170-(\$17+\$9.61+\$5.1)\\&=\$170-\$31.71\\&=\$138.29\end{align}\] (f) In order to calculate the percent of gross pay withheld as taxes, divide the sum of all taxes with gross pay and multiply the answer with 100 to convert into a percent. Step 1: Calculate the sum of all taxes: \[\begin{align} & \text{Sum}\,\text{of}\,\text{taxes}=\text{Federal}\,\text{taxes}+\text{FICA}\,\text{taxes}+\text{State}\,\text{taxes} \\ & =\$17+\$9.61+\$5.1\\&=\$31.71\end{align}\] Step 2: Divide sum of taxes with gross pay: \[\frac{\$31.71}{\$170}=0.1865\] Step 3: Multiply with 100 and round off to nearest tenth: \[0.1865\times 100=18.65\approx 18.7\] Step 4: Attach the percent sign: \[18.7percent\]
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.