Thinking Mathematically (6th Edition)

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

Chapter 8 - Personal Finance - Chapter Summary, Review, and Test - Review Exercises - Page 570: 26

Answer

.See below

Work Step by Step

(a) The amount of weekly gross pay can be calculated by multiplying the work hours to the pay rate per hour. Weekly gross pay can be ascertained by substituting the values in the formula as mentioned below: \[\begin{align} & \text{Weekly gross pay}=\text{Work hours}\times \text{Pay rate} \\ & =16\times \$8.50\\&=\$136\end{align}\] Hence, the amount of the weekly gross pay is\[\$136\]. (b) The Federal tax amount can be calculated by multiplying the weekly gross pay to the federal tax rate. Federal tax amount can be ascertained by substituting the values in the formula as mentioned below: \[\begin{align} & \text{Federal tax amount}=\text{Weekly gross pay}\times \text{federal tax rate} \\ & =\$136\times10percent\\&=\$13.6\end{align}\] Hence, the federal tax amount is \[\$13.6\]. (c) The FICA tax amount can be calculated by multiplying the weekly gross pay to the FICA tax rate. FICA tax amount can be ascertained by substituting the values in the formula as mentioned below: \[\begin{align} & \text{FICA tax amount}=\text{Weekly gross pay}\times \text{FICA tax rate} \\ & =\$136\times5.65percent\\&=\$7.68\end{align}\] Hence, the FICA tax amount is \[\$7.68\] (d) The state tax amount can be calculated by multiplying the weekly gross pay to the state tax rate. State tax amount can be ascertained by substituting the values in the formula as mentioned below: \[\begin{align} & \text{State tax amount}=\text{Weekly gross pay}\times \text{state tax rate} \\ & =\$136\times4percent\\&=\$5.44\end{align}\] Hence, the state tax amount is\[\$5.44\]. (e) The amount of weekly net pay can be calculated by subtracting the total of various tax imposed on the weekly gross pay from the amount of weekly gross pay. Weekly net pay can be ascertained by substituting the values in the formula as mentioned below: \[\begin{align} & \text{Weekly net pay}=\text{Weekly gross pay}-\left( \text{Federal tax}+\text{FICA }\text{tax}+\text{State tax} \right) \\ & =\$136-\left(\$13.60+\$7.68+\$5.44\right)\\&=\$109.28\end{align}\] Hence, the weekly net pay is \[\$109.28\] (f) The amount of tax percent withheld can be calculated by dividing the total of various tax imposed on the weekly gross pay by the amount of weekly gross pay. Tax percent withheld can be ascertained by substituting the values in the formula as mentioned below: \[\begin{align} & \text{Tax percent withheld}=\frac{\left( \text{Federal tax}+\text{FICA }\text{tax}+\text{State tax} \right)}{\text{Weekly gross pay}} \\ & =\frac{\left( \$13.60+\$7.68+\$5.44\right)}{\$136}\\&=\frac{\$26.72}{\$136}\\&=19.6percent\end{align}\] Hence, the tax percent withheld is \[19.6percent\]
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