Answer:
760772
Step-by-step explanation:
Given that the population of city Z was 420,000 in the year 2000.
The population is projected to grow at a constant rate of 2 percent per year,
We have to find the closest to the projected population of city Z in the year 2030
Since growing at 2% per year treating 2000 as year 0 we can say
[tex]P(t)= 420000(1+0.02)^t[/tex] where t is the no of years lapsed after 2000.
So at the year 2030, t = 30
Population at th eyear 2030
= [tex]P(30) = 420000(1.02)^{30} \\=760771.86\\=760772[/tex]
the projected population of city Z in the year 2030 is 760772