Answer:
The population after 10 years will be 10975
Step-by-step explanation:
Given:
Initial population : 7000
Growth rate per year = 4.6 percent
To Find:
Population in 10 years = ?
Solution:
The population after 10 years can be found by
where
[tex]P = P_0 (1+ \frac{r}{100})^t[/tex]
P is population after 10 years
t is the times
r is the rate of interest
[tex]P_0[/tex] is the initial population
On substituting the values,
[tex]P(t) = 7000(1+ \frac{4.6}{100})^{10}[/tex]
[tex]x(t) = 7000(1+ 0.046)^{10}[/tex]
[tex]x(t) = 7000 (1.046)^{10}[/tex]
x(t) = 7000(1.567)
x(t) = 10975
