In: Math
An insurance company states in its automobile insurance policy that in case of an accident, it uses the formula P = (x - x^4/5) (y-18 / 50) to determine how much to reimburse a policyholder, where x is the value of the car at the time of the accident and y is the age of the person driving. The policyholder must sign a document indicating agreement with this procedure for determining reimbursement amounts. Joe, a 70 year old policyholder, was driving his car when he had an accident. The car was valued at $7800 at the time of the accident. The insurance company sends him a check for $7760.84. Use the formula above to find the amount he should have been reimbursed. Should Joe contact the insurance company and report this mistake?