Math

QuestionThe employee pays 20% of \$2,470 annually. What is the biweekly deduction from their paycheck? Biweekly Insurance Cost \$[?]

Studdy Solution

STEP 1

Assumptions1. The total health insurance cost is $,470 per year. The employer pays80% of the total cost3. The remaining cost is covered by the employee4. The employee's contribution is divided equally among their biweekly paychecks

STEP 2

First, we need to find out how much the employer is paying. We can do this by multiplying the total cost by the employer's contribution rate.
Employercontribution=TotalcosttimesEmployercontributionrateEmployer\, contribution = Total\, cost \\times Employer\, contribution\, rate

STEP 3

Now, plug in the given values for the total cost and the employer's contribution rate to calculate the employer's contribution.
Employercontribution=$2,470times80%Employer\, contribution = \$2,470 \\times80\%

STEP 4

Convert the percentage to a decimal value.
80%=0.880\% =0.8Employercontribution=$2,470times0.8Employer\, contribution = \$2,470 \\times0.8

STEP 5

Calculate the employer's contribution.
Employercontribution=$2,470times0.8=$1,976Employer\, contribution = \$2,470 \\times0.8 = \$1,976

STEP 6

Now that we have the employer's contribution, we can find out how much the employee has to pay. This is the total cost minus the employer's contribution.
Employeecontribution=TotalcostEmployercontributionEmployee\, contribution = Total\, cost - Employer\, contribution

STEP 7

Plug in the values for the total cost and the employer's contribution to calculate the employee's contribution.
Employeecontribution=$2,470$1,976Employee\, contribution = \$2,470 - \$1,976

STEP 8

Calculate the employee's contribution.
Employeecontribution=$2,470$1,976=$494Employee\, contribution = \$2,470 - \$1,976 = \$494

STEP 9

Now that we have the employee's annual contribution, we can divide this by the number of biweekly pay periods in a year (26) to find the amount taken from each paycheck.
Biweeklyinsurancecost=Employeecontribution/NumberofbiweeklypayperiodsBiweekly\, insurance\, cost = Employee\, contribution / Number\, of\, biweekly\, pay\, periods

STEP 10

Plug in the values for the employee's contribution and the number of biweekly pay periods to calculate the biweekly insurance cost.
Biweeklyinsurancecost=$494/26Biweekly\, insurance\, cost = \$494 /26

STEP 11

Calculate the biweekly insurance cost.
Biweeklyinsurancecost=$494/26=$19Biweekly\, insurance\, cost = \$494 /26 = \$19The amount taken from the employee's biweekly paycheck for health insurance is $19.

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