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31. Please help ( I don’t need a long explanation please) thanks

31. Please help ( I don’t need a long explanation please) thanks-example-1

1 Answer

6 votes

Step-by-step explanation:

Cocnept:

The continuous exponential growth formula is given below as


A=Pe^(rt)

Where the given values are


\begin{gathered} A=2P \\ r=(6.5)/(100)=0.065 \end{gathered}

By substituting the values, we will have


\begin{gathered} A=Pe^(rt) \\ 2P=Pe^(0.065t) \\ e^(0.065t)=2 \\ take\text{ ln of both sides} \\ 0.065t=ln2 \\ t=(ln2)/(0.065) \\ t=10.66hours \end{gathered}

Hence,

The final answer is


10.66

User Jibreel
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