Sunday

February 1, 2015

February 1, 2015

Posted by **Anonymous** on Wednesday, July 18, 2012 at 1:18am.

estimated at 2 percent per year. Assuming that the world population follows an

exponential growth model, find the projected world population in 2015.

- maths -
**MathMate**, Wednesday, July 18, 2012 at 9:13amAssume formula

Population in billions at time t (counting from 1987) as

P(t)=Ae^(kt)

where A and k are constants.

At t=0 (1987),

P(0)=Ae^(0)=A=5

the formula becomes:

P(t)=5e^(kt)

P(1)=5*1.02=5e^(kt) [t=1]

=>

e^(k)=1.02 [t=1]

Take log both sides

k=log(1.02) [natural log]

So

P(t)=5e^(t*log(1.02))

where log(1.02)=0.0198 approx.

**Answer this Question**

**Related Questions**

Algebra - Wk 6 Sec 12.7 #24 World population growth In 2008 the world population...

Math - In 1987, the population of Mexico was estimated at 82 million people, ...

Math - he world population at the beginning of 1990 was 5.3 billion. Assume that...

Math - The population of the Earth is approximately 6 billion people and is ...

Applied Calculus - The world population at the beginning of 1990 was 5.3 billion...

College Algebra - The population of the Earth is approximately 6 billion people...

College Algebra - The population of the Earth is approximately 6 billion people ...

math - After its fastest rate of growth ever during the 1980s and 1990s, the ...

Calc - After its fastest rate of growth ever during the 1980s and 1990s, the ...

Calculus - After its fastest rate of growth ever during the 1980s and 1990s, the...