Answer:
[tex]y = 2000(1.05)^{36[/tex]
Step-by-step explanation:
Given
[tex]a = 2000[/tex] -- Initial population
[tex]r = 5\%[/tex] --- Rate (monthly)
Required
Determine the population in 3 years
The question shows an exponential distribution and the final population will be calculated using:
[tex]y = a(1 + r)^x[/tex]
Where x is the number of months.
[tex]x = 3\ years[/tex]
[tex]x = 3* 12\ months[/tex]
[tex]x = 36[/tex]
So, we have:
[tex]y = 2000(1 + 5\%)^{36[/tex]
Convert % to decimal
[tex]y = 2000(1 + 0.05)^{36[/tex]
[tex]y = 2000(1.05)^{36[/tex]
(c) is correct
