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Population of Mexico. In 2004 the population of Mexico was 106.5 million. If Mexico's population continues to grow at an annual rate of 1.43%, then the population in 2015 will be 106.5 (1.0143)11 million.
a) Find the predicted population in 2015 to the nearest tenth of a million people.

2006-12-11 05:49:36 · 2 answers · asked by salarian2001 2 in Science & Mathematics Mathematics

2 answers

The formula for population growth is the initial population p(0) times (1 + growth rate increase) to the power t (number of years).

p(t) = p(0) * (1+r)^t

Your initial population in year 0 (2004) is 106.5 million. And your growth rate is 1 + 0.0143 = 1.0143. So as you noted, the formula is:
p(t) = 106.5 * (1.0143)^t

2004 is year 0
2015 is year 11
so plug in t = 11

p(11) = 106.5 * (1.0143)^11

You can put this in your caculator and you should get...
p(11) ≈ 124.503135

Round to the nearest tenth of a million:

The answer is 124.5 million in the year 2015.

2006-12-11 06:06:16 · answer #1 · answered by Puzzling 7 · 0 0

Try again if the population grows it must change from 2004. I think you need the answer of 124.5

2006-12-11 05:53:10 · answer #2 · answered by snfcricket 3 · 0 0

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