Question

if the population of a country increases at a rate of 1.5% annually, and it's current population is 430,000, how many years will it take for the population to triple?

Answer 1

3 * 430,000 = 430000 * 1.015^t

1.015^t =   3
t ln 1.015 = ln 3
t  = ln 3 / ln1.015  =   74 years 

Answer 2

A percentage is a way to describe a part of a whole. The number of years it will take for the population to triple is 73.788.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The current population of the country is 430,000, which is increasing at a rate of 1.5% annually. Therefore, the number of years it will take to triple the population can be written as,

(3 × 430,000) = 430,000 × (1+0.015)ⁿ

3 = (1.015)ⁿ

n = log₍₁.₀₁₅₎3

n = log(3)/log(1.015)

n = 73.788

Hence, the number of years it will take for the population to triple is 73.788.

Learn more about Percentages:

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