Answer:
r=2.5%
Step-by-step explanation:
An exponential growth distribution is generally expressed as:
[tex]P_t=P_oe^{rt}[/tex]
where:
- [tex]P_t[/tex] is population at time t
- [tex]P_o[/tex] is the initial population
- [tex]r[/tex] is the rate of growth and t=time
#Substitute the given values to solve for r:
[tex]P_{2010}=P_{1999}e^{(2010-1999)r}\\\\56780=43129e^{11r}\\\\1.31652=e^{11r}\\\\\\r=\frac{In \ 1.31652}{11}\\\\=0.024999\approx 2.5\%[/tex]
Hence, the rate of growth is approximately 2.5%
