Hi! This is a finance-based problem, which might be my difficulty. I have the answers from the book. Here is the prompt:
"Suppose that a sum \(S_0\) is invested at an annual rate of return \(r\) and compounded continuously.
(a) Find the time \(T\) required for the original sum to double in value as a function of \(r\).
(b) Determine \(T\) if \(r=7\%\).
(c) Find the return rate that must be achieved if the initial investment is to double in \(8\) years.

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Oh, answers:
(a) \(\ln(2)\div r\) year
(b) \(9.90\) years
(c) \(8.66\%\)

Is it something like this?\[
2S_0=S_0(1+r)^T
\]

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