Answer:
The population would be 3358
Step-by-step explanation:
Since, exponential growth function if the growth is compound continuously,
![A = Pe^{rt}](https://tex.z-dn.net/?f=A%20%3D%20Pe%5E%7Brt%7D)
Where,
P = initial population,
r = growth rate per period,
t = number of periods,
Given,
The population in 2000, P = 2,400,
Growth rate per year = 1.68% = 0.0168,
Number of years from 2000 to 2020, t = 20,
Thus, the population in 2020,
![A=2400 e^{0.0168\times 20}](https://tex.z-dn.net/?f=A%3D2400%20e%5E%7B0.0168%5Ctimes%2020%7D)
![=2400 e^{0.336}](https://tex.z-dn.net/?f=%3D2400%20e%5E%7B0.336%7D)
![= 3358.4136](https://tex.z-dn.net/?f=%20%3D%203358.4136)
![\approx 3358](https://tex.z-dn.net/?f=%5Capprox%203358)