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the population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2 percent per year. assuming that the world population follows an exponential growth model, find the projected world population in 1995.
________________ billion

2007-11-04 07:09:49 · 6 answers · asked by star baller 360 5 in Science & Mathematics Mathematics

6 answers

So since it says exponential growth model, you automatically know that you use the equation:

y= n e^(rt)

So plug the numbers in and get:

y= 5e^(.02*8)
y=5.868 billion

2007-11-04 07:19:59 · answer #1 · answered by Anonymous · 1 0

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2016-10-15 00:45:54 · answer #2 · answered by ? 3 · 0 0

5* (1.02)^8=5.858296905

Multiply the 5 billion by the growth rate to the power of the number of years.

88,89,90,91,92,92,94,95 (8 years)

The answer is about 5.86 billion.

(to check yourself, you can also try to estimate the answer 2%*8=16% 16% of 5 billion is 5.8 and then the exponential effect, total 5.86)

2007-11-04 07:25:54 · answer #3 · answered by Rio de 2 · 1 0

1987 = x
1988 = x + x*2%

1988 = x
1989 = x + x*2%
....
1995 = 5858296905

2007-11-04 07:17:29 · answer #4 · answered by Anonymous · 0 0

1995 - 1987 = 8 years
P = (5*10^9)(1.02)^8
P = 5,858,296,905

2007-11-04 07:57:26 · answer #5 · answered by Helmut 7 · 0 0

the answer is 4,000,000,000,000,000,000

2007-11-04 07:23:25 · answer #6 · answered by missyazzy 3 · 0 0

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