anonymous
  • anonymous
the beginning of 1975 the population of a country was 40 million and growing at a rate of 3% per year. Assume that the growth is exponential. Estimate the population of the country at the beginning of the year 2010
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
of course 80 million
anonymous
  • anonymous
im sorry and how did you get this?
anonymous
  • anonymous
plz help

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anonymous
  • anonymous
This can be taken as a geometric progression where the population at any given year is given by \[ar ^{n-1}\] where a is starting population and 'r' in this case is 1.03 as the population is increasing. Now count the years, from 1975 to 2010, 35 years. So you use formula population = \[40000000\times1.03^{35}\] population approx 112 million
anonymous
  • anonymous
i got 83751117 how did you get 112 mil?
anonymous
  • anonymous
how did you get that? Because I've used exponential population growth method and geometric progression and got the same answer
anonymous
  • anonymous
ok i rechecked it ant got 1.05 and the answer was 135mil
anonymous
  • anonymous
ok let me g through it again. two mins :)
anonymous
  • anonymous
40000000*1.05^24 was 129003997.7
anonymous
  • anonymous
it can't be 1.05 as you gave the growth rate to be 3% If it is 5%, then you get 40(1.05)^35 = 220 million Check your question again. You get 135 million if the growth rate is 5% and the time period is 1975 to 2000
anonymous
  • anonymous
yeah the years are 1975 to 2010
anonymous
  • anonymous
nm
anonymous
  • anonymous
can you help me with this one?
anonymous
  • anonymous
If the population of bacteria doubles in 4 hours how long will it take for it to triple its original size

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