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Answer :
Sure! Let's go through each question one by one with a detailed step-by-step solution:
1. Cindy Zeller's Straight Time Pay:
- Cindy earns [tex]$7.75 per hour.
- Last week, she worked \(24 \frac{1}{2}\) hours, which is equivalent to 24.5 hours.
- Straight time pay is calculated as:
\[
\text{Straight time pay} = 7.75 \times 24.5 = 189.875
\]
- Cindy's straight time pay is $[/tex]189.875.
2. Kraig Silvers' Total Pay:
- Kraig earns [tex]$8.40 per hour for regular hours.
- He worked 36 regular hours and 7 hours of overtime.
- Overtime is paid at time and a half, so his overtime rate is:
\[
\text{Overtime rate} = 8.40 \times 1.5 = 12.60
\]
- Regular pay is calculated as:
\[
\text{Regular pay} = 8.40 \times 36 = 302.40
\]
- Overtime pay is calculated as:
\[
\text{Overtime pay} = 12.60 \times 7 = 88.20
\]
- Total pay is:
\[
\text{Total pay} = 302.40 + 88.20 = 390.6
\]
- Kraig's total pay for the week is $[/tex]390.6.
3. Tracy Lee's Total Hours Worked:
- Day 1: From 9:00 to 12:30
- Hours worked: [tex]\(12.5 - 9 = 3.5\)[/tex] hours
- Day 2: From 11:30 to 1:45
- Hours worked: [tex]\(1.75 - 11.5 = 2.25\)[/tex] hours
- Day 3: From 10:15 to 3:00
- Hours worked: [tex]\(15 - (10 + 0.25) = 4.75\)[/tex] hours
- Total hours worked:
[tex]\[
3.5 + 2.25 + 4.75 = 10.5 \, \text{hours}
\][/tex]
- Tracy worked a total of 10.5 hours.
4. Fred Bundy's Total Pay:
- Fred is paid [tex]$12.90 for each bicycle assembled.
- He assembled 43 bicycles last week.
- Total pay is:
\[
\text{Total pay} = 12.90 \times 43 = 554.7
\]
- Fred's total pay for the week is $[/tex]554.7.
5. Jill Karver's Biweekly Salary:
- Jill's annual salary is [tex]$21,970.
- To find the biweekly salary (paid every two weeks):
\[
\text{Biweekly salary} = \frac{21970}{26} = 845.0
\]
- Jill's biweekly salary is $[/tex]845.0.
6. Linda Ragan's Commission:
- Linda earns a 3.25% commission on sales.
- She sold a home for [tex]$105,000.
- Commission is calculated as:
\[
\text{Commission} = 0.0325 \times 105,000 = 3412.5
\]
- Linda's commission is $[/tex]3412.5.
7. Mike Sorrel's Total Commission:
- Mike has a graduated commission structure based on sales:
- 7% for the first [tex]$3,000
- 8% for the next $[/tex]4,000
- 9% for sales over [tex]$7,000
- His total sales for the month were $[/tex]12,600.
- Commission for the first [tex]$3,000:
\[
\text{Commission 7\%} = 0.07 \times 3000 = 210
\]
- Commission for the next $[/tex]4,000:
[tex]\[
\text{Commission 8\%} = 0.08 \times 4000 = 320
\][/tex]
- Commission for sales over [tex]$7,000 ($[/tex]12,600 - [tex]$7,000 = $[/tex]5,600):
[tex]\[
\text{Commission 9\%} = 0.09 \times 5600 = 504
\][/tex]
- Total commission:
[tex]\[
210 + 320 + 504 = 1034
\][/tex]
- Mike's total commission is $1034.0.
I hope this explanation helps you understand how each of the calculations was performed!
1. Cindy Zeller's Straight Time Pay:
- Cindy earns [tex]$7.75 per hour.
- Last week, she worked \(24 \frac{1}{2}\) hours, which is equivalent to 24.5 hours.
- Straight time pay is calculated as:
\[
\text{Straight time pay} = 7.75 \times 24.5 = 189.875
\]
- Cindy's straight time pay is $[/tex]189.875.
2. Kraig Silvers' Total Pay:
- Kraig earns [tex]$8.40 per hour for regular hours.
- He worked 36 regular hours and 7 hours of overtime.
- Overtime is paid at time and a half, so his overtime rate is:
\[
\text{Overtime rate} = 8.40 \times 1.5 = 12.60
\]
- Regular pay is calculated as:
\[
\text{Regular pay} = 8.40 \times 36 = 302.40
\]
- Overtime pay is calculated as:
\[
\text{Overtime pay} = 12.60 \times 7 = 88.20
\]
- Total pay is:
\[
\text{Total pay} = 302.40 + 88.20 = 390.6
\]
- Kraig's total pay for the week is $[/tex]390.6.
3. Tracy Lee's Total Hours Worked:
- Day 1: From 9:00 to 12:30
- Hours worked: [tex]\(12.5 - 9 = 3.5\)[/tex] hours
- Day 2: From 11:30 to 1:45
- Hours worked: [tex]\(1.75 - 11.5 = 2.25\)[/tex] hours
- Day 3: From 10:15 to 3:00
- Hours worked: [tex]\(15 - (10 + 0.25) = 4.75\)[/tex] hours
- Total hours worked:
[tex]\[
3.5 + 2.25 + 4.75 = 10.5 \, \text{hours}
\][/tex]
- Tracy worked a total of 10.5 hours.
4. Fred Bundy's Total Pay:
- Fred is paid [tex]$12.90 for each bicycle assembled.
- He assembled 43 bicycles last week.
- Total pay is:
\[
\text{Total pay} = 12.90 \times 43 = 554.7
\]
- Fred's total pay for the week is $[/tex]554.7.
5. Jill Karver's Biweekly Salary:
- Jill's annual salary is [tex]$21,970.
- To find the biweekly salary (paid every two weeks):
\[
\text{Biweekly salary} = \frac{21970}{26} = 845.0
\]
- Jill's biweekly salary is $[/tex]845.0.
6. Linda Ragan's Commission:
- Linda earns a 3.25% commission on sales.
- She sold a home for [tex]$105,000.
- Commission is calculated as:
\[
\text{Commission} = 0.0325 \times 105,000 = 3412.5
\]
- Linda's commission is $[/tex]3412.5.
7. Mike Sorrel's Total Commission:
- Mike has a graduated commission structure based on sales:
- 7% for the first [tex]$3,000
- 8% for the next $[/tex]4,000
- 9% for sales over [tex]$7,000
- His total sales for the month were $[/tex]12,600.
- Commission for the first [tex]$3,000:
\[
\text{Commission 7\%} = 0.07 \times 3000 = 210
\]
- Commission for the next $[/tex]4,000:
[tex]\[
\text{Commission 8\%} = 0.08 \times 4000 = 320
\][/tex]
- Commission for sales over [tex]$7,000 ($[/tex]12,600 - [tex]$7,000 = $[/tex]5,600):
[tex]\[
\text{Commission 9\%} = 0.09 \times 5600 = 504
\][/tex]
- Total commission:
[tex]\[
210 + 320 + 504 = 1034
\][/tex]
- Mike's total commission is $1034.0.
I hope this explanation helps you understand how each of the calculations was performed!
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