Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

14. frank has a job in a service station. he works eight hours a day, s…

Question

  1. frank has a job in a service station. he works eight hours a day, six days a week. he is paid $13.65 per hour.

a) how much does he earn in one week?
b) how much does he earn in one day?
c) what is his pay for a four - week period?
d) what is his pay for a year (52 weeks)?

  1. explain the difference between gross pay and net pay. (2 pts)
  2. give the gross pay for each of the following:

a) 40 hours at $14.89 per hour
b) 25 hours at $12.66 per hour
c) 48 hours at $13.61 per hour
d) 40 hours at $13.01 per hour
e) 160 hours at $12.94 per hour
f) 180 hours at $13.25 per hour
g) 15 hours at $12.30 per hour
h) 20 hours at $15.00 per hour
i) 30 hours at $13.65 per hour

Explanation:

Response
For Question 14:

Step1: Calculate daily earnings

$\text{Daily pay} = 8 \times 13.65 = 109.20$

Step2: Calculate weekly earnings (a)

$\text{Weekly pay} = 6 \times 109.20 = 655.20$

Step3: Confirm daily earnings (b)

$\text{Daily pay} = 8 \times 13.65 = 109.20$

Step4: Calculate 4-week pay (c)

$\text{4-week pay} = 4 \times 655.20 = 2620.80$

Step5: Calculate annual pay (d)

$\text{Annual pay} = 52 \times 655.20 = 34070.40$

Brief Explanations

Gross pay is the total amount earned before any deductions (like taxes, insurance, or retirement contributions) are taken out. Net pay is the actual amount an employee receives after all required deductions are subtracted from gross pay; it is the "take-home" pay.

Step1: Calculate (a) gross pay

$\text{Gross pay} = 40 \times 14.89 = 595.60$

Step2: Calculate (b) gross pay

$\text{Gross pay} = 25 \times 12.66 = 316.50$

Step3: Calculate (c) gross pay

$\text{Gross pay} = 48 \times 13.61 = 653.28$

Step4: Calculate (d) gross pay

$\text{Gross pay} = 40 \times 13.01 = 520.40$

Step5: Calculate (e) gross pay

$\text{Gross pay} = 160 \times 12.94 = 2070.40$

Step6: Calculate (f) gross pay

$\text{Gross pay} = 180 \times 13.25 = 2385.00$

Step7: Calculate (g) gross pay

$\text{Gross pay} = 15 \times 12.30 = 184.50$

Step8: Calculate (h) gross pay

$\text{Gross pay} = 20 \times 15.00 = 300.00$

Step9: Calculate (i) gross pay

$\text{Gross pay} = 30 \times 13.65 = 409.50$

Answer:

a) $\$655.20$
b) $\$109.20$
c) $\$2620.80$
d) $\$34070.40$

---

For Question 15: