Question

Hourly gross pay with overtimeFor the first week of January, Jim Green worked 33.75 hours. Jim earns $12.20 an hour. His employer pays overtime for all hours worked per week and pays 1.5 times the hourly rate.Calculate the following for the first week of January (round your responses to the nearest cent if necessary):1. Regular pay amount:2. Overtime pay:3. Gross pay:I need help with this math problem.

Answer 1

Solution:

Given:

$\begin{gathered} Total\text{ hours worked}=33.75hours \\ Earnings\text{ per hour}=\text{ \ }12.20 \\ Overtime\text{ per hour}=1.5\times12.20=\text{ \ }18.30 \end{gathered}$

1) Regular pay amount:

$\begin{gathered} Regular\text{ pay amount}=12.20\times33.75 \\ =\text{ \ }411.75 \end{gathered}$

Therefore, the regular pay amount is $411.75

2) Overtime pay:

Overtime is paid for all hours worked per week and it is 1.5 times the hourly rate for overtime hours.

Hence,

$\begin{gathered} Overtime\text{ pay}=1.5\times12.20\times33.75 \\ =617.625 \\ To\text{ the nearest cent;} \\ =\text{ \ }617.63 \end{gathered}$

Therefore, the overtime pay is $617.63

3) Gross pay:

The gross pay is the total pay for regular pay and overtime pay.

Hence,

$\begin{gathered} Gross\text{ pay}=411.75+617.63 \\ =\text{ \ }1029.38 \end{gathered}$

Therefore, the gross pay is $1029.38