Answer:
In 18 years time, the population of the city is approximately 705,084
Step-by-step explanation:
From the given information, the initial population is
[tex]P_0=200000[/tex]
The growth rate is 7% or r=0.07.
For a population with a continuous growth rate, the equation is that models it is:
[tex]P(t)=P_0 {(e)}^{rt} [/tex]
[tex]P(t)=200000 {(e)}^{0.07t} [/tex]
To find the find the population after 18 years, we substitute t=18 into:
[tex]P(18) = 200000{(e)}^{18\times 0.07} [/tex]
[tex]P(18)=705084.3[/tex]
