Sure, let's solve the problem step-by-step.
1. Understand the total annual premium:
The total annual premium for health insurance for Martina is given as [tex]$7705.
2. Calculate Martina's share of the premium:
Her employer pays \(90\%\) of the annual premium. Therefore, Martina has to pay the remaining \(10\%\).
\[
\text{Martina's share} = \text{Annual Premium} \times (1 - \text{Employer Percentage})
\]
\[
\text{Martina's share} = 7705 \times (1 - 0.90) = 7705 \times 0.10 = 770.50
\]
3. Determine the number of pay periods:
Martina is paid biweekly. There are \(52\) weeks in a year. Since she is paid biweekly, she gets paid every \(2\) weeks.
\[
\text{Number of pay periods} = \frac{52}{2} = 26
\]
4. Calculate the deduction per paycheck:
The total amount Martina needs to pay is spread over 26 pay periods. Therefore, the deduction from each paycheck is:
\[
\text{Deduction per paycheck} = \frac{\text{Martina's share}}{\text{Number of pay periods}}
\]
\[
\text{Deduction per paycheck} = \frac{770.50}{26} \approx 29.63
\]
Therefore, the amount that is deducted from Martina's paycheck for health insurance is \( \$[/tex] 29.63 \).
