27. taylor earns $18 per hour. one week, she works 40 hours. the next week, she works 28 hours. how much…

27. taylor earns $18 per hour. one week, she works 40 hours. the next week, she works 28 hours. how much more is her gross pay for the first week compared to the second week?\n28. you are offered two jobs. job a pays $14 per hour with no deductions, while job b pays $16 per hour but takes out 15% for taxes and deductions. if you work 40 hours, which job pays more net pay? show your calculations.\n29. dylan’s paycheck shows $75 in deductions, which is 10% of his gross pay. what was dylan’s gross pay before deductions?\n30. if your net pay is $320 and this is 80% of your gross pay, what was your gross pay before deductions?\n31. olivia worked 45 hours in one week at $20 per hour. she earns time - and - a - half (1.5 times her regular wage) for any hours over 40. what is her gross pay for the week?\n32. a restaurant server earns $3.50 per hour plus tips. if she works 30 hours in a week and receives $225 in tips, what is her gross pay for the week?\n33. a salesperson earns $500 base pay each week plus 8% commission on $2,000 in sales. what is the salesperson’s total gross pay for the week?\n34. a worker’s gross pay is $900 per week. if 12% is deducted for taxes and $30 is deducted for health insurance, what is her net pay?\n35. marcus receives a $60 bonus. if his gross pay without the bonus is $540, what percent of his gross pay is the bonus?\n36. if you earn $17.25 per hour and work 36 hours in a week, and 18% of your gross pay is deducted, what is your net pay for the week?\n37. you make $1,200 in one month. you spend 30% on rent, 10% on transportation, and 15% on food. how much do you spend on each, and how much is left after these expenses?\n38. emily earns $22 per hour and works 40 hours each week. she receives a 5% raise. what is her new hourly wage and weekly gross pay?
Answer
27.
Explanation:
Step1: Calculate first - week pay
Multiply hourly rate by hours. $18\times40 = 720$
Step2: Calculate second - week pay
Multiply hourly rate by hours. $18\times28 = 504$
Step3: Find the difference
Subtract second - week pay from first - week pay. $720 - 504=216$
Answer:
$216$
28.
Explanation:
Step1: Calculate net pay for Job A
Multiply hourly rate by hours. $14\times40 = 560$
Step2: Calculate gross pay for Job B
Multiply hourly rate by hours. $16\times40 = 640$
Step3: Calculate deductions for Job B
Find 15% of gross pay. $0.15\times640 = 96$
Step4: Calculate net pay for Job B
Subtract deductions from gross pay. $640-96 = 544$
Step5: Compare net pays
$560>544$, so Job A pays more net pay.
Answer:
Job A pays more net pay.
29.
Explanation:
Step1: Let gross pay be $x$
We know that 10% of $x$ is 75, so the equation is $0.1x = 75$
Step2: Solve for $x$
Divide both sides by 0.1. $x=\frac{75}{0.1}=750$
Answer:
$750$
30.
Explanation:
Step1: Let gross pay be $x$
We know that 80% of $x$ is 320, so the equation is $0.8x = 320$
Step2: Solve for $x$
Divide both sides by 0.8. $x=\frac{320}{0.8}=400$
Answer:
$400$
31.
Explanation:
Step1: Calculate pay for first 40 hours
Multiply regular rate by 40 hours. $20\times40 = 800$
Step2: Calculate pay for overtime hours
Overtime hours are $45 - 40=5$ hours. Overtime rate is $20\times1.5 = 30$ per hour. Pay for overtime is $30\times5 = 150$
Step3: Calculate total gross pay
Add pay for regular hours and overtime hours. $800 + 150=950$
Answer:
$950$
32.
Explanation:
Step1: Calculate pay from hourly rate
Multiply hourly rate by hours. $3.5\times30 = 105$
Step2: Calculate total gross pay
Add pay from hourly rate and tips. $105+225 = 330$
Answer:
$330$
33.
Explanation:
Step1: Calculate commission
Find 8% of 2000. $0.08\times2000 = 160$
Step2: Calculate total gross pay
Add base pay and commission. $500 + 160=660$
Answer:
$660$
34.
Explanation:
Step1: Calculate tax deductions
Find 12% of 900. $0.12\times900 = 108$
Step2: Calculate total deductions
Add tax and health - insurance deductions. $108 + 30=138$
Step3: Calculate net pay
Subtract total deductions from gross pay. $900-138 = 762$
Answer:
$762$
35.
Explanation:
Step1: Calculate total gross pay
Total gross pay is $540 + 60=600$
Step2: Calculate percentage of bonus
Divide bonus by total gross pay and multiply by 100. $\frac{60}{600}\times100 = 10%$
Answer:
$10%$
36.
Explanation:
Step1: Calculate gross pay
Multiply hourly rate by hours. $17.25\times36 = 621$
Step2: Calculate deductions
Find 18% of gross pay. $0.18\times621 = 111.78$
Step3: Calculate net pay
Subtract deductions from gross pay. $621-111.78 = 509.22$
Answer:
$509.22$
37.
Explanation:
Step1: Calculate rent expense
Find 30% of 1200. $0.3\times1200 = 360$
Step2: Calculate transportation expense
Find 10% of 1200. $0.1\times1200 = 120$
Step3: Calculate food expense
Find 15% of 1200. $0.15\times1200 = 180$
Step4: Calculate total expenses
Add rent, transportation, and food expenses. $360+120 + 180=660$
Step5: Calculate remaining amount
Subtract total expenses from total income. $1200-660 = 540$
Answer:
Rent: $360$, Transportation: $120$, Food: $180$, Remaining: $540$
38.
Explanation:
Step1: Calculate new hourly wage
Find 5% of 22: $0.05\times22 = 1.1$. New hourly wage is $22 + 1.1=23.1$
Step2: Calculate new weekly gross pay
Multiply new hourly wage by 40 hours. $23.1\times40 = 924$
Answer:
New hourly wage: $23.1$, New weekly gross pay: $924$