Billy-Sean O'Hagan, having graduated summa cum laude from college, has been accepted by the doctoral program in biophysics at Oxford. John O'Hagan estimates that the total cost (minus scholarships) he will need to pay is $6,000 per month but that this cost will escalate at a continuous compounding rate of 1% per month. (a) What, to the nearest dollar, will be the average monthly cost over the course of 2 years? $   (b) Find the 8-month moving average of the monthly cost in dollars where t is the number of months since Billy-Sean started the doctoral program.

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