Final answer:
Jack's insurance policy with a $400 deductible and 20% coinsurance will reimburse him $3,135 for his hospitalization and tests.
Step-by-step explanation:
To calculate Jack's reimbursement from the insurance company, we need to consider his deductible and coinsurance rate. Jack's insurance policy has a $400 deductible for hospital stays, which means he needs to pay the first $400 out of pocket. After that, his insurance will cover a percentage of the remaining costs. In this case, Jack has a coinsurance rate of 20%, which means he will be responsible for 20% of the total bill.
The total bill is $4,135, and Jack has already paid the $400 deductible. So, he will only be responsible for 20% of $3,735 (the remaining amount after the deductible), which is $747. The insurance company will reimburse the rest of the amount, which is $3,135.
Rounding to the nearest dollar, Jack can expect a reimbursement of $3,135 from the insurance company.