To determine how much Karen, a 52-year-old female, is deducted from her paycheck for a [tex]$75,000, 20-year life insurance policy, let's follow the steps outlined below:
1. Identify the Premium Rate:
From the table provided, we look at the row corresponding to her age group, which is "48-52". For females in this age group with a 20-year term life insurance policy, the annual premium per $[/tex]1000 of coverage is [tex]$17.56.
2. Calculate the Annual Premium:
To find the total annual premium for her $[/tex]75,000 coverage, multiply the amount of coverage (in thousands) by the annual premium rate per [tex]$1000 of coverage:
\[
\text{Annual Premium} = \left(\frac{\text{Coverage Amount}}{1000}\right) \times \text{Premium Rate per $[/tex]1000}
\]
Substituting the given values:
[tex]\[
\text{Annual Premium} = \left(\frac{75000}{1000}\right) \times 17.56 = 75 \times 17.56 = 1317.0
\][/tex]
3. Calculate the Weekly Deduction:
Since Karen is paid weekly, we need to convert the annual premium to a weekly premium. There are 52 weeks in a year, so we divide the annual premium by 52:
[tex]\[
\text{Weekly Deduction} = \frac{\text{Annual Premium}}{52}
\][/tex]
Substituting the annual premium we calculated:
[tex]\[
\text{Weekly Deduction} = \frac{1317.0}{52} \approx 25.33
\][/tex]
Therefore, the amount deducted from Karen's weekly paycheck for life insurance is approximately $25.33.
