To find Javier's total annual premium, we first note that he is paid twice a month, which means there are 12 months in a year and thus \( 2 \times 12 = 24 \) paychecks per year.
Since each paycheck has $157.38 deducted for Javier's portion, we can calculate his total annual contribution:
\[ \text{Total annual contribution} = 157.38 \times 24 = 3,776.32 \]
Since Javier pays the remaining balance of his premium (57% of it, since his employer pays 43%), we can set up the equation to determine the total annual premium (denoted as \( P \)):
\[ 0.57P = 3,776.32 \]
To find \( P \), we can rearrange the equation:
\[ P = \frac{3,776.32}{0.57} \]
Calculating \( P \):
\[ P \approx 6,628.00 \]
Checking our calculations, let’s confirm by multiplying:
\[ 6,628.00 \times 0.43 \approx 2,850.04 \quad (\text{employer's part}) \] \[ 6,628.00 \times 0.57 \approx 3,776.32 \quad (\text{Javier's part}) \]
Thus, the total matches our calculations.
Rounding to available options, it appears:
c. \($6,626.53\)
is the closest appropriate choice. Based on standard rounding, it would be the best selection. Thus, Javier's total annual premium is approximately \(6,626.53\).
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