Answer:
6.3 billion ( approx )
Step-by-step 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,
[tex]A=4.3(1+\frac{r}{100})^{100}[/tex]
According to the question,
A = 5.2 billion,
[tex]\implies 5.2 = 4.3(1+\frac{r}{100})^{100}[/tex]
By the graphing calculator,
[tex]\implies r = 0.19\%[/tex]
If the initial population is 5.2 billion,
Then the population after 100 years,
[tex]A=5.2(1+\frac{0.19}{100})^{100}[/tex]
[tex]=6.28696444394[/tex]
[tex]\approx 6.3\text{ billion}[/tex]