After years, the value of a car purchased for $25,000 is (a) Use a graphing utility to
Chapter 5, Problem 96(choose chapter or problem)
Depreciation After t years, the value of a car purchased for $25,000 is
\(V(t)=25,000\left(\frac{3}{4}\right)^{t}\)
(a) Use a graphing utility to graph the function and determine the value of the car 2 years after it was purchased.
(b) Find the rates of change of V with respect to t when t = 1 and t = 4.
(c) Use a graphing utility to graph \(V^{\prime}(t)\) and determine the horizontal asymptote of \(V^{\prime}(t)\). Interpret its meaning in the context of the problem.
Text Transcription:
V(t) = 25,000 (3/4)^t
V^prime (t)
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