anonymous
  • anonymous
Pretend the world's population in 1987 was 4.5 billion and that the projection for 2016 is 8 billion. What annual rate of growth is assumed in this prediction?
Mathematics
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anonymous
  • anonymous
Pretend the world's population in 1987 was 4.5 billion and that the projection for 2016 is 8 billion. What annual rate of growth is assumed in this prediction?
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
@kropot72 Can you help?
anonymous
  • anonymous
I got it! 1.98% per year
kropot72
  • kropot72
We can use the following equation to model the growth: \[\large P=P _{i}(1+r)^{t}\] where P is the population after t years, Pi is the initial population, and r is the annual rate of growth. Putting the given values into the equation we get: \[\large 8=4.5(1+r)^{29}\ ..........(1)\] Now you need to solve (1) to find the value of r.

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