Answer:
$71.62
Explanation:
If the college pays 62% of the cost of the medical insurance plan, then Randall pays 38% of the cost himself, since 100% - 62% = 38%.
Randall's Annual Cost
Calculate the annual cost to Randall of the medical insurance plan by finding 38% of the total cost of membership:
![\begin{aligned}\implies \sf 38\% \:of \:\$4,900 & = \sf (38)/(100) * 4900\\\\& = \sf (38* 4900)/(100)\\\\& = \sf (186200)/(100)\\\\& = \sf 1862\\\end{aligned}](https://img.qammunity.org/2023/formulas/mathematics/college/tey7ivfjmwgjo8pvx99ipz5s0x6k658v89.png)
Therefore, the annual cost to Randall is $1,862.
Deduction from paycheck
As the paycheck is bi-weekly, Randall is paid every 2 weeks.
This means he receives 26 paychecks in a year.
To calculate how much is deducted from his bi-weekly paycheck, divide the annual cost by 26:
![\implies \sf (1862)/(26)=71.615384...](https://img.qammunity.org/2023/formulas/mathematics/college/evvwpiqq6d3yp3ubziuxx6fyzb7l0rmprd.png)
Therefore, $71.62 is deducted from his biweekly paycheck for medical insurance.