ANSWER
The population in 2000 is 525.5
EXPLANATION
The population is modeled by the equation:
[tex]y=525.5e^{-0.01t}[/tex]
Where y=population (in thousands)
t=the time (in years) with t=0 for the year 2000.
To find the population in the year 2000, we substitite t=0 into the equation to get:
[tex]y=525.5e^{-0.01 \times 0}[/tex]
Perform the multiplication in the exponent:
[tex]y=525.5e^{0}[/tex]
Note that any non-zero number exponent zero is 1.
[tex]y=525.5(1)[/tex]
Any number multiplied by 1 is the same number;
[tex]y=525.5[/tex]
The population in 2000 is 525.5
