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anonymous
 one year ago
A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.
anonymous
 one year ago
A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[162 = 156(1+x)^{6}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So you need to solve for x first

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I just checked this, It seems correct http://openstudy.com/study#/updates/5201dbfbe4b0ebbcb9c6b14d @wolf1728 The population increases156,000,000 to 162,000,000 over 6 years 156,000,000 * (1+r)^6 = 162,000,000 (1+r)^6 = 162,000,000 / 156,000,000 (1+r)^6 = 1.03846153846154 6 * log(1+r) = log(1.03846153846154) log(1+r) = 0.01639041618817 / 6 log(1+r) = 0.0027317360313616 1+r = 1.0063098786004 r = .0063098786004 Testing the value of r 156,000,000 * (1+ .0063098786004)^6 = 1996 population 156,000,000 * 1.03846153846154 = 162,000,000 1996 population r = .0063098786004 Plug r in to find pop in 2016.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do I solve for x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 162 }{ 156 } = (1+x)^6\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[1.038461538 = (1+x)^6\] \[1.038461538  1 =0.38461538\] \[\sqrt[6]{0.038461538} = 0.0063\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0could u plz just tell me the answer bc I don't get it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[20161990=26\] \[156(1+0.0063098786004)^{26} = 183.717165048\]

hwyl
 one year ago
Best ResponseYou've already chosen the best response.0stop giving out answers. cheating will not be tolerated

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0To solve for x you need to tale logs of both sides 162/156=(1+x)^6

wolf1728
 one year ago
Best ResponseYou've already chosen the best response.0I guess jherbo isn't here anymore
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