Suppose the distribution of miles driven on four year leases follows the normal distribution with a mean of 45000 miles and a standard deviation of 500 miles. The automobile company would like to include a $0.15 per mile penalty for excessive mileage to the terms of the lease. What mileage limit would result in no more than 8% of leases being over the limit?

do not round intermediate calculations. Round final answers to 4 decimals. Do not use probability tables to find probabilities.