Suppose that the value of a yacht in dollars after t years of use is V(t)=325000e^−(0.2t) . What is the average value of the yacht over its first 12 years of use?
Vave = $
Use the usual formula, and this should be no problem. The average value of the area under a curve is the area divided by the width. So, that's just
1/12 ∫[0,12] 325000 e^−(0.2t) dt = 123,132