Answer:
[tex]19,090\ people[/tex]
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
[tex]y=a(1+r)^x[/tex]
where
y is the population
x is the time in years since year 2015
a is the initial value
r is the rate of change
we have
[tex]a=10,600\\r=4\%=4/100=0.04[/tex]
substitute
[tex]y=10,600(1+0.04)^x[/tex]
[tex]y=10,600(1.04)^x[/tex]
In the year 2040 the value of x is equal to
[tex]x=2040-2015=25\ years[/tex]
substitute
[tex]y=10,600(1.04)^{15} =19,090\ people[/tex]
