Question

concept check
complete the problem. check your answer in the back of the book.

1. mark adler earned $1,650 per month as an assistant technician at a recording studio. his new job pays $9.80 per hour with time and a half for all hours over 36 per week. how many hours of overtime per week will he need to work to earn the same amount per week as his current job?

lesson practice

1. brad hamilton’s annual salary as an accounting clerk is $32,500. what is his weekly salary?

5 kylie matsumoto is a set designer. her annual salary is $45,320. what is kylie’s semimonthly salary?

1. alia valbuena earns $68,400 per year as an automotive engineer. (a) what is her monthly salary? (b) what is her weekly salary?
2. ethan van doran is a physical therapist. his biweekly salary is $3,985. (a) what is his annual salary? (b) what is his monthly salary?
3. savannah bryan is a career coach. her biweekly salary is $3,010. what is savannah’s annual salary?
4. zachary meyers is a forensic scientist. his monthly salary is $4,397. what is zachary’s annual salary?
5. algebra andré iverson was paid a biweekly salary of $1,230 as an assistant exterminator. now he is paid on a semimonthly basis. what is andré’s semimonthly salary?

spiral review
divide the numbers and then round to the nearest hundredth.

1. $14,290 ÷ 50
2. 41.62 ÷ 8.6
3. 191.3 ÷ 14.7
4. diego rollins is paid $10.20 an hour for a regular 40-hour week at the driving range. his overtime rate is 1\frac{1}{2} times his regular hourly rate. this week he worked his regular 40 hours plus 8 hours of overtime. what is diego’s total pay? (lesson 1.2)

get ready for the next lesson
prerequisite skill writing percents as decimals (skill 28)
write as a decimal.

1. 135%
2. 14.2%
3. 0.5%
4. 2.25%
5. 0.123%
6. 105.6%

Explanation:

Step1: Calculate weekly current pay

Assume 4 weeks per month: $\$1,650 \div 4 = \$412.50$

Step2: Calculate regular weekly pay

$\$9.80 \times 36 = \$352.80$

Step3: Calculate overtime pay needed

$\$412.50 - \$352.80 = \$59.70$

Step4: Calculate overtime hourly rate

$\$9.80 \times 1.5 = \$14.70$

Step5: Calculate overtime hours

$\$59.70 \div \$14.70 \approx 4.06$
---

Step1: Calculate Brad's weekly salary

$\$32,500 \div 52 \approx \$625.00$
---

Step1: Calculate Kylie's semimonthly salary

$\$45,320 \div 24 \approx \$1,888.33$
---

Step1: Alia's monthly salary

$\$68,400 \div 12 = \$5,700.00$

Step2: Alia's weekly salary

$\$68,400 \div 52 \approx \$1,315.38$
---

Step1: Ethan's annual salary

$\$3,985 \times 26 = \$103,610.00$

Step2: Ethan's monthly salary

$\$103,610 \div 12 \approx \$8,634.17$
---

Step1: Savannah's annual salary

$\$3,010 \times 26 = \$78,260.00$
---

Step1: Zachary's annual salary

$\$4,397 \times 12 = \$52,764.00$
---

Step1: André's annual salary

$\$1,230 \times 26 = \$31,980.00$

Step2: André's semimonthly salary

$\$31,980 \div 24 = \$1,332.50$
---

Step1: Divide and round to hundredth

$\$14,290 \div 50 = 285.80$
---

Step1: Divide and round to hundredth

$41.62 \div 8.6 \approx 4.84$
---

Step1: Divide and round to hundredth

$191.3 \div 14.7 \approx 13.01$
---

Step1: Calculate regular pay

$\$10.20 \times 40 = \$408.00$

Step2: Calculate overtime rate

$\$10.20 \times 1.5 = \$15.30$

Step3: Calculate overtime pay

$\$15.30 \times 8 = \$122.40$

Step4: Calculate total pay

$\$408.00 + \$122.40 = \$530.40$
---

Step1: Convert 135% to decimal

$135\% = 1.35$

Step2: Convert 14.2% to decimal

$14.2\% = 0.142$

Step3: Convert 0.5% to decimal

$0.5\% = 0.005$

Step4: Convert 2.25% to decimal

$2.25\% = 0.0225$

Step5: Convert 0.123% to decimal

$0.123\% = 0.00123$

Step6: Convert 105.6% to decimal

$105.6\% = 1.056$

Answer:

1. ~4.06 overtime hours
2. $\$625.00$
3. $\$1,888.33$
4. (a) $\$5,700.00$; (b) $\$1,315.38$
5. (a) $\$103,610.00$; (b) $\$8,634.17$
6. $\$78,260.00$
7. $\$52,764.00$
8. $\$1,332.50$
9. $285.80$
10. $4.84$
11. $13.01$
12. $\$530.40$
13. $1.35$
14. $0.142$
15. $0.005$
16. $0.0225$
17. $0.00123$
18. $1.056$