Answer:
$265.932
Explanation:
We have been given that the cost of $500,000 worth of 20-year-term life insurance for Shanika is $73.87 per month. Shanika's employer covers 70% of this cost. We are asked to find the amount that is deducted from Shanika's gross income per year for life insurance.
Since Shanika's employer covers 70% of her life insurance, so Shanika pays 30% (100%-70%) of her life insurance.
Let us find amount paid by Shanika per month for life insurance.
![\text{Amount paid by Shanika for life insurance per month}=\$73.87*(30)/(100)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tqdhcjl5lfhchbhqe9wpq6jvjl47crttmz.png)
![\text{Amount paid by Shanika for life insurance per month}=\$73.87*0.30](https://img.qammunity.org/2020/formulas/mathematics/middle-school/e8enbcg6qkfqud5jon2wp3istw9yblx0b9.png)
![\text{Amount paid by Shanika for life insurance per month}=\$22.161](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k90bdmwq8nonnh81iixhd409vjk3n9efyy.png)
To find amount paid by Shanika is one year, we will multiply $22.161 by 12 as 1 year is equal to 12 months.
![\text{Amount paid by Shanika for life insurance per year}=\$22.161* 12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pjpyjn2nm48glmy0jgk6hqzf40tm2zk0pn.png)
![\text{Amount paid by Shanika for life insurance per year}=\$265.932](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hsn5njkq9x1l48rfa33vruqup5njbc4fh0.png)
Therefore, $265.932 is deducted from Shanika's gross income per year for life insurance.