The depreciating value of a semi-truck can be modeled by y = Ao(0.84)x, where y is the remaining value of the semi, x is the tim
e in years, and it depreciates at 16% per year.
What is the value of the truck initially, Ao, and how would the graph change if the depreciation rate was 26% per year?
What is the value of the truck initially, Ao, and how would the graph change if the depreciation rate was 26% per year?
1 answer:
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a. By the fundamental theorem of calculus, the velocity function is
The particle starts at rest, so , and we have
Then the position function is
with , so
b. The particle is at rest whenever ; this happens for
where is any integer.