4 Jackson's Overtime Gross 10 Points
Jackson earns $22.00 per hour for a regular 40-hour workweek. Overtime hours are compensated at time-and-a-half (1.5x). If he works 48 hours in a week, calculate:
a) His hourly overtime rate. b) Regular & overtime pay amounts. c) Total gross pay.
\(a) \text{Overtime Rate} = \$22.00 \times 1.5 = \mathbf{\$33.00/\text{hr}}\)
\(b) \text{Regular Pay} = 40 \times \$22.00 = \mathbf{\$880.00}; \quad \text{Overtime Pay} = (48-40) \times \$33.00 = 8 \times \$33 = \mathbf{\$264.00}\)
\(c) \text{Gross Pay} = \text{Regular Pay} + \text{Overtime Pay} = \$880.00 + \$264.00 = \mathbf{\$1,144.00}\)
Regular Pay:
$ 880.00
Overtime Pay:
$ 264.00
Total Gross Pay:
$ 1,144.00
UNIT 1: PAYROLL POWER SOLUTIONS Page 2 of 4
Business Mathematics — Unit 1
Page 3
Calculate total hours worked daily and total weekly gross earnings.
5 Sophia's Weekly Time Card 15 Points
Sophia Martinez earns $16.00 per hour. Fill in the daily hours in the time card below (round to nearest quarter hour if needed). Then calculate her total weekly hours and gross weekly earnings in the calculations box.
| Day | Morning IN | Morning OUT | Afternoon IN | Afternoon OUT | Daily Hours |
|---|---|---|---|---|---|
| Monday | 8:00 AM | 12:00 PM | 1:00 PM | 5:00 PM | 8.0 |
| Tuesday | 8:30 AM | 12:00 PM | 1:00 PM | 5:30 PM | 8.0 |
| Wednesday | 8:00 AM | 12:00 PM | 12:30 PM | 4:30 PM | 8.0 |
| Thursday | 8:15 AM | 12:15 PM | 1:15 PM | 5:15 PM | 8.0 |
| Friday | 8:00 AM | 11:30 AM | 12:30 PM | 4:00 PM | 7.0 |
\(\text{Weekly Hours} = 8.0 + 8.0 + 8.0 + 8.0 + 7.0 = \mathbf{39.0 \text{ hours}}\)
\(\text{Sophia's Gross Pay} = 39.0 \text{ hours} \times \$16.00/\text{hr} = \mathbf{\$624.00}\)
Total Weekly Hours:
39.0 Hours
Total Gross Earnings:
$ 624.00
Calculate wages based on unit-level production and graduated tiers.
6 Standard Piecework 5 Pts
Caleb assembles mechanical keyboards for $14.25 per unit. If he completes 44 units this week, what is his gross piecework earnings?
\(44 \text{ keyboards} \times \$14.25\)
\(= \mathbf{\$627.00}\)
Gross Pay:
$ 627.00
7 Graduated Piecework 10 Pts
Maya sews leather bags. She is paid $25.00/bag for units 1–10; $30.00/bag for units 11–25; and $38.00/bag for units 26+. If she completes 28 bags:
\(\text{Tier 1: } 10 \times \$25 = \$250.00\)
\(\text{Tier 2: } 15 \times \$30 = \$450.00\)
\(\text{Tier 3: } 3 \times \$38 = \$114.00 \rightarrow \mathbf{\$814.00}\)
Total Earnings:
$ 814.00
UNIT 1: PAYROLL POWER SOLUTIONS Page 3 of 4
Business Mathematics — Unit 1
Page 4
Analyze annual, monthly, semimonthly, and biweekly pay frequencies.
8 Annual Salary Splits 10 Pts
Noah earns an annual salary of $58,500. Determine his gross pay per pay period if paid:
a) Weekly (52/yr) b) Semimonthly (24/yr)
\(a) \frac{\$58,500}{52} = \mathbf{\$1,125.00}\)
\(b) \frac{\$58,500}{24} = \mathbf{\$2,437.50}\)
Weekly:
$ 1,125.00
Semimonthly:
$ 2,437.50
9 Pay Schedule Change 10 Pts
Chloe earns $4,200 monthly. Her corporate office transitions to a biweekly (26/yr) schedule. What is her gross biweekly pay?
\(\text{Annual Equivalent} = \$4,200 \times 12 = \$50,400\)
\(\text{Biweekly Gross} = \frac{\$50,400}{26} = \mathbf{\$1,938.46}\)
Biweekly Gross:
$ 1,938.46
Calculate base salaries, straight rates, and graduated commission scales.
10 Straight Commission 5 Pts
Tyler sells homes. He earns a flat commission of 3.2% of the sales price. Last month, he closed on a home valued at $389,000. What was his gross commission?
\(\text{Commission} = \$389,000 \times 3.2\%\)
\(= \$389,000 \times 0.032 = \mathbf{\$12,448.00}\)
Total Commission:
$ 12,448.00
11 Salary + Commission 10 Pts
Chloe earns $2,500/month base salary, plus graduated commission of 4% on the first $20,000 in sales, and 6% on any sales over $20,000. Find her gross pay on sales of $35,000.
\(\text{Base} = \$2,500\); \(\text{ Level 1} = 20k \times 4\% = \$800\)
\(\text{Level 2} = (35k - 20k) \times 6\% = 15k \times 6\% = \$900\)
\(\text{Total Gross} = 2500 + 800 + 900 = \mathbf{\$4,200.00}\)
Total Gross Pay:
$ 4,200.00
Sec 1 & 2
25 / 25
Sec 3 Time
15 / 15
Sec 4 Piece
15 / 15
Sec 5 Salary
20 / 20
Sec 6 Comm
15 / 15
UNIT 1: PAYROLL POWER SOLUTIONS Page 4 of 4
