Final answer:
The insurance company would pay $690 for the family member's doctor and prescription medication expenses after applying the $500 deductible and covering 75% of the remaining expenses.
Step-by-step explanation:
The Kelleher family has a health insurance policy with a deductible and a certain percentage of cost coverage. First, let's compute what they pay out-of-pocket before insurance kicks in.
With a total medical expense of $1,420 and a $500 deductible, the family will pay the first $500 of incurred expenses, leaving $920 ($1,420 - $500) that is subject to coverage.
Next, the insurance policy covers 75% of the remaining expense after the deductible.
To find this, we take 75% of $920, which is 0.75 * $920 = $690.
Therefore, the amount the insurance company would pay is $690.