Question

Type in only your numerical answer to the following problem; do not type any words or letters with your answer. The population of Neverland was 4.3 billion, one hundred years ago. Currently the population is 5.2 billion. What will this population be 100 years from now? NOTE: Round to the nearest tenth of a billion.

Answer 1

6.3 billion ( approx )

Explanation:

Given,

The population of Neverland = 4.3 billion,

Let it is increasing by the rate of r % per year,

So, the population after 100 years,

`A=4.3(1+(r)/(100))^(100)`

According to the question,

A = 5.2 billion,

`\implies 5.2 = 4.3(1+(r)/(100))^(100)`

By the graphing calculator,

`\implies r = 0.19\%`

If the initial population is 5.2 billion,

Then the population after 100 years,

`A=5.2(1+(0.19)/(100))^(100)`

`=6.28696444394`

`\approx 6.3\text{ billion}`