Mail Carrier Mary has a pedometer to count her steps. The pedometer records up to $9999$ steps, then flips over to $0000$ on the next step. Mary plans to determine her mileage for a month. On the first day of the month, Mary sets the pedometer to $0000$. During the month, the pedometer flips from $9999$ to $0000$ one hundred twenty-five times. On the last day of the month, the pedometer reads $7500$. Mary takes $2000$ steps per mile. Which of the following is closest to the number of miles Mary walked during the month?