A country's population in 1992 was 103 million. in 1997 in was 108 million. estimate the population in 2004 using the exponential growth formula. round your answer to the nearest millionth. P=Ae^kt

Question

Mathematics

Ansley Tran

18 July, 05:47

A country's population in 1992 was 103 million. in 1997 in was 108 million. estimate the population in 2004 using the exponential growth formula. round your answer to the nearest millionth. P=Ae^kt

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Answers (1)

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Lynx · Answer 1

108=103e^ (5k)

108/103=e^ (5k) take the natural log of both sides

ln (108/103) = 5k

k=ln (108/103) / 5

k≈0.00948

P=103e^ (12*0.00948)

P≈115 million (to nearest million)