### Problem 3: David's Pay Calculation #### Step 1: Calculate Gross Pay Gross pay is calculated by multiplying the hourly rate by the number of hours worked. David earns $12.00 pe…
determine gross pay
(hint hourly rate x hours worked)
gross pay:
deductions:
federal tax = 15% of your gross pay
social security tax = 6.2% of your gross pay
medicare tax = 1.45% of your gross pay
state tax = 4% of your gross pay
pension = 3% of your gross pay
work:
hint: net pay = gross pay - deductions
net pay:
determine gross pay
(hint hourly rate x hours worked)
gross pay:
deductions:
federal tax = 15% of your gross pay
social security tax = 6.2% of your gross pay
medicare tax = 1.45% of your gross pay
state tax = 4% of your gross pay
pension = 3% of your gross pay
work:
hint: net pay = gross pay - deductions
net pay:
determine gross pay
(hint hourly rate x hours worked)
gross pay:
deductions:
federal tax = 15% of your gross pay
social security tax = 6.2% of your gross pay
medicare tax = 1.45% of your gross pay
state tax = 4% of your gross pay
pension = 3% of your gross pay
work:
hint: net pay = gross pay - deductions
net pay:
determine gross pay
(hint hourly rate x hours worked)
gross pay:
deductions:
federal tax = 15% of your gross pay
social security tax = 6.2% of your gross pay
medicare tax = 1.45% of your gross pay
state tax = 4% of your gross pay
pension = 3% of your gross pay
work:
hint: net pay = gross pay - deductions
net pay:
Gross pay is calculated by multiplying the hourly rate by the number of hours worked. David earns $12.00 per hour and works 36 hours.
\[
\text{Gross Pay} = 12.00 \times 36 = 432.00
\]
\[
15\% \text{ of } 432.00 = 0.15 \times 432 = 64.80
\]
\[
6.2\% \text{ of } 432.00 = 0.062 \times 432 = 26.784
\]
\[
1.45\% \text{ of } 432.00 = 0.0145 \times 432 = 6.264
\]
\[
4\% \text{ of } 432.00 = 0.04 \times 432 = 17.28
\]
\[
3\% \text{ of } 432.00 = 0.03 \times 432 = 12.96
\]
Sum up all the deductions:
\[
\text{Total Deductions} = 64.80 + 26.784 + 6.264 + 17.28 + 12.96 = 128.088
\]
Net pay is gross pay minus total deductions:
\[
\text{Net Pay} = 432.00 - 128.088 = 303.912 \approx 303.91
\]
Ted earns $11.25 per hour and works 39 hours.
\[
\text{Gross Pay} = 11.25 \times 39 = 438.75
\]
\[
15\% \text{ of } 438.75 = 0.15 \times 438.75 = 65.8125
\]
\[
6.2\% \text{ of } 438.75 = 0.062 \times 438.75 = 27.1925
\]
\[
1.45\% \text{ of } 438.75 = 0.0145 \times 438.75 = 6.361875
\]
\[
4\% \text{ of } 438.75 = 0.04 \times 438.75 = 17.55
\]
\[
3\% \text{ of } 438.75 = 0.03 \times 438.75 = 13.1625
\]
Sum up all the deductions:
\[
\text{Total Deductions} = 65.8125 + 27.1925 + 6.361875 + 17.55 + 13.1625 = 130.079375
\]
Net pay is gross pay minus total deductions:
\[
\text{Net Pay} = 438.75 - 130.079375 = 308.670625 \approx 308.67
\]
(Note: Deduction amounts can be rounded to two decimal places as is standard for currency.)
Gross pay is calculated by multiplying the hourly rate by the number of hours worked. David earns $12.00 per hour and works 36 hours.
\[
\text{Gross Pay} = 12.00 \times 36 = 432.00
\]
\[
15\% \text{ of } 432.00 = 0.15 \times 432 = 64.80
\]
\[
6.2\% \text{ of } 432.00 = 0.062 \times 432 = 26.784
\]
\[
1.45\% \text{ of } 432.00 = 0.0145 \times 432 = 6.264
\]
\[
4\% \text{ of } 432.00 = 0.04 \times 432 = 17.28
\]
\[
3\% \text{ of } 432.00 = 0.03 \times 432 = 12.96
\]
Sum up all the deductions:
\[
\text{Total Deductions} = 64.80 + 26.784 + 6.264 + 17.28 + 12.96 = 128.088
\]
Net pay is gross pay minus total deductions:
\[
\text{Net Pay} = 432.00 - 128.088 = 303.912 \approx 303.91
\]
Ted earns $11.25 per hour and works 39 hours.
\[
\text{Gross Pay} = 11.25 \times 39 = 438.75
\]
\[
15\% \text{ of } 438.75 = 0.15 \times 438.75 = 65.8125
\]
\[
6.2\% \text{ of } 438.75 = 0.062 \times 438.75 = 27.1925
\]
\[
1.45\% \text{ of } 438.75 = 0.0145 \times 438.75 = 6.361875
\]
\[
4\% \text{ of } 438.75 = 0.04 \times 438.75 = 17.55
\]
\[
3\% \text{ of } 438.75 = 0.03 \times 438.75 = 13.1625
\]
Sum up all the deductions:
\[
\text{Total Deductions} = 65.8125 + 27.1925 + 6.361875 + 17.55 + 13.1625 = 130.079375
\]
Net pay is gross pay minus total deductions:
\[
\text{Net Pay} = 438.75 - 130.079375 = 308.670625 \approx 308.67
\]
(Note: Deduction amounts can be rounded to two decimal places as is standard…
Gross pay is calculated by multiplying the hourly rate by the number of hours worked. David earns $12.00 per hour and works 36 hours.
\[
\text{Gross Pay} = 12.00 \times 36 = 432.00
\]
\[
15\% \text{ of } 432.00 = 0.15 \times 432 = 64.80
\]
\[
6.2\% \text{ of } 432.00 = 0.062 \times 432 = 26.784
\]
\[
1.45\% \text{ of } 432.00 = 0.0145 \times 432 = 6.264
\]
\[
4\% \text{ of } 432.00 = 0.04 \times 432 = 17.28
\]
\[
3\% \text{ of } 432.00 = 0.03 \times 432 = 12.96
\]
Sum up all the deductions:
\[
\text{Total Deductions} = 64.80 + 26.784 + 6.264 + 17.28 + 12.96 = 128.088
\]
Net pay is gross pay minus total deductions:
\[
\text{Net Pay} = 432.00 - 128.088 = 303.912 \approx 303.91
\]
Ted earns $11.25 per hour and works 39 hours.
\[
\text{Gross Pay} = 11.25 \times 39 = 438.75
\]
\[
15\% \text{ of } 438.75 = 0.15 \times 438.75 = 65.8125
\]
\[
6.2\% \text{ of } 438.75 = 0.062 \times 438.75 = 27.1925
\]
\[
1.45\% \text{ of } 438.75 = 0.0145 \times 438.75 = 6.361875
\]
\[
4\% \text{ of } 438.75 = 0.04 \times 438.75 = 17.55
\]
\[
3\% \text{ of } 438.75 = 0.03 \times 438.75 = 13.1625
\]
Sum up all the deductions:
\[
\text{Total Deductions} = 65.8125 + 27.1925 + 6.361875 + 17.55 + 13.1625 = 130.079375
\]
Net pay is gross pay minus total deductions:
\[
\text{Net Pay} = 438.75 - 130.079375 = 308.670625 \approx 308.67
\]
(Note: Deduction amounts can be rounded to two decimal places as is standard for currency.)
3) david earns $12.00/hour and works 36 hours. determine gross pay (hint hourly rate x hours worked) gross pay: deductions: federal tax = 15% of your gross pay social security tax = 6.2% of your gross pay medicare tax = 1.45% of your gross pay state tax = 4% of your gross pay pension = 3% of your gross pay work: hint: net pay = gross pay - deductions net pay: 4) ted earns $11.25/hour and works 39 hours. determine gross pay (hint hourly rate x hours worked) gross pay: deductions: federal tax = 15% of your gross pay social security tax = 6.2% of your gross pay medicare tax = 1.45% of your gross pay state tax = 4% of your gross pay pension = 3% of your gross pay work: hint: net pay = gross pay - deductions net pay:
$\$11.35$
The equation is \( 6 + 29.25x = 357 \), and the number of people \( x = 12 \).
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