From the beginning of the year 2000, the annual world demand for oil has increased. To account for this increased demand, the rate at which oil is produced is D(t) = 2.55e0.05t billions of barrels per year where t is the number of years since the beginning 2000. [A] How much oil was produced between the beginning of year 2000 through 2011? billions of barrels [B] In how many years from the beginning of the year 2000 will it take for the oil reserves to be depleted if there is an estimated total of 1,100 billions of barrels of oil available. years

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
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From the beginning of the year 2000, the annual world demand for oil has increased. To account for this
increased demand, the rate at which oil is produced is D(t) = 2.55e0.057 billions of barrels per year where
t is the number of years since the beginning 2000.
[A] How much oil was produced between the beginning of year 2000 through 2011?
billions of barrels
[B] In how many years from the beginning of the year 2000 will it take for the oil reserves to be depleted if
there is an estimated total of 1,100 billions of barrels of oil available.
years
Transcribed Image Text:From the beginning of the year 2000, the annual world demand for oil has increased. To account for this increased demand, the rate at which oil is produced is D(t) = 2.55e0.057 billions of barrels per year where t is the number of years since the beginning 2000. [A] How much oil was produced between the beginning of year 2000 through 2011? billions of barrels [B] In how many years from the beginning of the year 2000 will it take for the oil reserves to be depleted if there is an estimated total of 1,100 billions of barrels of oil available. years
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