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Mathematics 26 Online
OpenStudy (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?

OpenStudy (anonymous):

@kropot72 Can you help?

OpenStudy (anonymous):

I got it! 1.98% per year

OpenStudy (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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