Explanation:
Cocnept:
The continuous exponential growth formula is given below as
[tex]A=Pe^{rt}[/tex]
Where the given values are
[tex]\begin{gathered} A=2P \\ r=\frac{6.5}{100}=0.065 \end{gathered}[/tex]
By substituting the values, we will have
[tex]\begin{gathered} A=Pe^{rt} \\ 2P=Pe^{0.065t} \\ e^{0.065t}=2 \\ take\text{ ln of both sides} \\ 0.065t=ln2 \\ t=\frac{ln2}{0.065} \\ t=10.66hours \end{gathered}[/tex]
Hence,
The final answer is
[tex]10.66[/tex]
