A motorcycle is depreciating at 19 per year every year A stu
A motorcycle is depreciating at 19% per year, every year. A student\'s $21,000 motorcycle depreciating at this rate can be modeled by the equation V(t) = 21,000(0.81)t. What is an equivalent equation for this vehicle as a monthly depreciation and, using this equation, what is the motorcycle worth (rounded to the nearest ten dollar) 4 years after purchase?
Solution
Monthly depriciatiion rate = V(t) = 21,000(0.81)t/12 = 1750 (0.81)t
Cost of motorcycle after 4 years = 21000 (0.81) ^4 = $ 9040
