Given:
There are given that the total population is 380000.
Explanation:
From the given statement:
The population of the city grows 6% each year.
Then,
From the formula to find the population after 10 years:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where,
[tex]\begin{gathered} P=380000 \\ r=6\%=0.06 \\ n=1 \\ t=10 \end{gathered}[/tex]
Then,
Put all the values into the above formula:
So,
From the fromula:
[tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=380000(1+\frac{0.06}{1})^{1(10)} \end{gathered}[/tex]
Then,
[tex]\begin{gathered} A=380,000(1+\frac{0.06}{1})^{1(10)} \\ A=380,000(1.06)^{1(10)} \\ A=380,000(1.7908) \\ A=680504 \end{gathered}[/tex]
Final answer:
Hence, the total population after 10 years is 680504.
