Suppose the rate of oil imports to the United States from a certain country can be approximated by r(t) = −5t2 + 40t + 900 million barrels per year (0 ≤ t ≤ 8), where t is time in years since the start of 2000. During that time, the price of oil was approximately† p(t) = 25e0.1t dollars per barrel. Obtain an expression for the total oil revenue R(x) the country earned from the United States since the start of 2000 to the start of year x as a function of x
Suppose the rate of oil imports to the United States from a certain country can be approximated by r(t) = −5t2 + 40t + 900 million barrels per year (0 ≤ t ≤ 8), where t is time in years since the start of 2000. During that time, the price of oil was approximately† p(t) = 25e0.1t dollars per barrel. Obtain an expression for the total oil revenue R(x) the country earned from the United States since the start of 2000 to the start of year x as a function of x
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Suppose the rate of oil imports to the United States from a certain country can be approximated by
r(t) = −5t2 + 40t + 900 million barrels per year (0 ≤ t ≤ 8),
where t is time in years since the start of 2000. During that time, the price of oil was approximately†
p(t) = 25e0.1t dollars per barrel.
Obtain an expression for the total oil revenue
R(x)
the country earned from the United States since the start of 2000 to the start of year x as a function of x. (Do not simplify the answer.) HINT
[Rate of revenue = p(t)r(t).]
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