Population doubles every 30 days
initial population = 26
So after 30 days the population will be 52
Now the formula is [tex] A= Pe^{rt} [/tex]
So [tex] 52 = 26 e^{r(30)} [/tex]
divide both sides by 26 , we get
[tex] 2=e^{r(30) [/tex]
or
ln(2)= 30r
divide both sides by 30
[tex] r=\frac{ln(2)}{30} [/tex]
So equation should be [tex] A= 26 * e^{\frac{ln(2)}{30}t} [/tex]
Now to find population after 240 days plug t = 240
[tex] A= 26 * e^{\frac{ln(2)}{30}240} [/tex]
And plug in calculator
A = 6656
