Answer:
16984
Step-by-step explanation:
Given
[tex]a = 16000[/tex] ---- Initial
[tex]r = 1\%[/tex] --- rate
Required
Determine the population after 6 years
To do this, we make use of the following exponential function
[tex]f(x) = a(r+1)^x[/tex]
Substitute values for a and r
[tex]f(x) = 16000(1\%+1)^x[/tex]
Express 1% and decimal
[tex]f(x) = 16000(0.01+1)^x[/tex]
[tex]f(x) = 16000(1.01)^x[/tex]
The population after 6 years is:
Substitute 6 for years
[tex]f(6) = 16000(1.01)^6[/tex]
[tex]f(6) = 16984.3224096[/tex]
[tex]f(6) = 16984[/tex] -- approximated
