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lyudmila [28]
4 years ago
11

Yet another question.

Mathematics
1 answer:
inna [77]4 years ago
4 0

Answer:

t= 3 years

Step-by-step explanation:

So far we have 2 useful relationshipsP_{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

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