The population P of a certain country (in thousands) from 1999 through 2009 can be modeled by P(t) = -8.85t² + 244.4t + 89,347, 9

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The population P of a certain country (in thousands) from 1999 through 2009 can be modeled by
P(t) = -8.85t² + 244.4t + 89,347,
9 <t< 19
where t is the year, with t
9 corresponding to 1999.
(a) According to the model, in what year did the country have its greatest population? (Round your answer to one decimal place.)
t =
What was the population? (Round your answer to the nearest whole number.)
thousand people
(b) According to the model, what will the country's population be in the year 2090? (Round your answer to the nearest whole number.)
thousand people
Transcribed Image Text:The population P of a certain country (in thousands) from 1999 through 2009 can be modeled by P(t) = -8.85t² + 244.4t + 89,347, 9 <t< 19 where t is the year, with t 9 corresponding to 1999. (a) According to the model, in what year did the country have its greatest population? (Round your answer to one decimal place.) t = What was the population? (Round your answer to the nearest whole number.) thousand people (b) According to the model, what will the country's population be in the year 2090? (Round your answer to the nearest whole number.) thousand people
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