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.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.2: Applications Of Exponential Functions
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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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