Answer:
The population after 5 years is approximately 337,465 people
Step-by-step explanation:
The population of the city is 250,000
Annual growth rate is 6%
The population after t years is:
![P=P_oe^(rt)](https://img.qammunity.org/2023/formulas/mathematics/college/qk9o8i4s74494oi3a22685iy1x1lak1i8o.png)
After 5 years, t = 5 and the population becomes:
![\begin{gathered} P=250000e^{(6)/(100)*5} \\ \\ =250000e^(0.3) \\ \\ \approx337465 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pb97o9pxxc9l539shtwhq39a9m9tnb00kk.png)
The population after 5 years is approximately 337,465 people