anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@saseal
anonymous
  • anonymous
@aric200
anonymous
  • anonymous
\[162 = 156(1+x)^{6}\]

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anonymous
  • anonymous
So you need to solve for x first
aric200
  • aric200
I 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
  • anonymous
how do I solve for x
anonymous
  • anonymous
\[\frac{ 162 }{ 156 } = (1+x)^6\]
anonymous
  • anonymous
26?
anonymous
  • anonymous
\[1.038461538 = (1+x)^6\] \[1.038461538 - 1 =0.38461538\] \[\sqrt[6]{0.038461538} = 0.0063\]
anonymous
  • anonymous
could u plz just tell me the answer bc I don't get it
anonymous
  • anonymous
183.717165048
anonymous
  • anonymous
that's the answer?
anonymous
  • anonymous
yup
anonymous
  • anonymous
\[2016-1990=26\] \[156(1+0.0063098786004)^{26} = 183.717165048\]
hwyl
  • hwyl
stop giving out answers. cheating will not be tolerated
wolf1728
  • wolf1728
To solve for x you need to tale logs of both sides 162/156=(1+x)^6
wolf1728
  • wolf1728
TAKE logs
wolf1728
  • wolf1728
I guess jherbo isn't here anymore

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