Michael recently had his gallbladder removed. His total bill for this event, which was his only health care expense for the year, came to $13,890. His health insurance plan had a $500 annual deductible and a 75/25 coinsurance provision. The cap on Michael's coinsurance share is $2000. Please show work.
a) How much of the bill will Michael pay?
b) How much of the bill will be paid by his insurance?