Question

Yet another question.

Answer 1

Answer:

t= 3 years

Step-by-step explanation:

So far we have 2 useful relationships$P_{t}= P_{o} e^{r*t}$ and $P_{t}=2P_{0}$

Now, clearing t

$P_{t}= P_{o} e^{r*t} \\\frac{ P_{t}}{P_{o}} = e^{r*t}\\\frac{2 P_{0}}{P_{o}} = e^{r*t}\\2 = e^{r*t}$

I apply logarithm

$log(2)=r*t\\ t=\frac{log(2)}{r}\\t=\frac{0.3}{0.1} \\ t=3$ years

Done