<span>Social Security tax is a percentage that both employees and employers must contribute 6.2% of employee compensation, for a total of 12.4%.
The social security that would be applied to an annual salary of $235,430 using $106,800 as the maximum taxable income is 12.4% of $106,800 = 0.124 x $106,800 = $13,243.20
The Medicare payroll tax is 2.9%. It applies only to earned income, which is wages you are paid by an employer, plus tips. You're responsible for 1.45% of the tax, and it's deducted automatically from your paycheck. Your employer pays the other 1.45%
The Medicare tax that would be applied to an annual salary of $235,430 using $106,800 as the maximum taxable income is 2.9% of $106,800 = 0.029 x $106,800 = $3,097.20
</span>
Short Answer: 18 minutes
Remark
The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.
Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1
S = 45 minutes
M = 30 minutes
Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour
Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work
job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t
Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2
1.3333 + 2 = 3.33333
3.3333 = 1 / t Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour
1 hour = 60 minutes
0.3 hours = x Cross Multiply
x = 60 * 0.3
x = 18 minutes
Answer working together it took them 18 minutes <<<<<
Answer is d. -5/3 because y2-y1 =x2-x1
