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Health insurance coverage for an employee and their children is [tex] \$6,240 [/tex] per year. The employer pays [tex] 70\% [/tex] of that cost. How much is taken from the employee's biweekly paycheck?

Biweekly Insurance Cost [tex] = \$ \quad ? [/tex]


Sagot :

To determine the biweekly insurance cost that is taken from the employee’s paycheck, follow these steps:

1. Determine the annual cost of the insurance coverage:

The total annual cost for the employee and their children is [tex]\( \$6,240 \)[/tex].

2. Calculate the percentage of the cost that the employer covers:

The employer pays 70% of the total annual cost.

3. Determine the percentage of the cost that the employee must pay:

Since the employer covers 70%, the employee covers the remaining 30%.

4. Calculate the annual amount paid by the employee:

[tex]\[ \text{Employee's annual cost} = 6240 \times 0.3 = 1872 \][/tex]

5. Convert the annual cost for the employee to a biweekly cost:

There are 52 weeks in a year, so there are [tex]\( \frac{52}{2} = 26 \)[/tex] biweekly periods in a year.

[tex]\[ \text{Employee's biweekly cost} = \frac{\text{Employee's annual cost}}{26} = \frac{1872}{26} = 72 \][/tex]

Therefore, the biweekly amount taken from the employee's paycheck for insurance coverage is [tex]\(\$72\)[/tex].