SOLUTION: if the rate of growth of a population continues at 2%, in how many years will the population double?

SOLUTION: if the rate of growth of a population continues at 2%, in how many years will the population double?

Algebra.Com

Question 988273: if the rate of growth of a population continues at 2%, in how many years will the population double?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
100% + 2% = 102%
102% = 102/100 = 1.02
Using the original population as 2
and the doubled population as 4
2 x 1.02^x = 4
1.02^x = 4/2
1.02^x = 2
x log 1.02 = log 2
x = log 2/ log 1.02
x = 35 years
Proof:
2 x 1.02^35 = 3.999
Hope this helps :-)
RELATED QUESTIONS
Suppose that the world population is increasing at an annual rate of 2%. If we assume an... (answered by nerdybill)

Suppose that the world population is increasing at an annual rate of 1.2% if we assume an (answered by math_helper)

A mathematical model for world population growth over short periods of time is given by P (answered by josgarithmetic)

How do I resolve this? The U.S. population in 1990 was approximately 250 million, and... (answered by jim_thompson5910)

The U.S. population in 1990 was approximately 250 million, and the average growth rate... (answered by stanbon,MathLover1)

How long (in years) will it take the world population to double at an exponential growth... (answered by josgarithmetic)

In 1984, the population of the world was about 4.8 billion and the yearly growth rate was (answered by stanbon)

If Kenya has a population of 20,000,000 people and doubling time of 16 years and if the... (answered by checkley71)

The U.S. population in 1990 was approximately 250 million, and the average growth rate... (answered by stanbon,ankor@dixie-net.com)