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anonymous
 5 years ago
can anyone help me with Exponential Growth?
anonymous
 5 years ago
can anyone help me with Exponential Growth?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0A country's population in 1994 was 107 million. In 1997 it was 112 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million. \[P = Ae ^{kt}\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1this is Population = inital size * e^(rate of change per year * years) right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1122 = 107.e^3r 122  = e^3r 107 ln(122/107) = 3r r = 1/3 ln(122/107) = .04373... about 4.373 %

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1P = 107.e(.04373(3)) = 121.999

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1lol..... well thats right; now we just gotta adjust the time to 2008

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1P = 107.e(.04373(14)) = 197.36....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it says the answer is 132

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1did i get my years wrong? 2008 1994  14 nope thats right...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1it could be a truncation error; i should try it with all the decimals then and see

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1107 * (e^((1 / 3) * ln(122 / 107) * 14)) = 197.365857

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1ahhhh i see what i did; i use 122..... the questions asks for 112

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1yeah, i gotta learn to read :) 107 * (e^((1 / 3) * ln(112 / 107) * 14)) = 132.416952
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