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What is the original investment?

its just saying to double it which could be 100

so when we double it then it will be 200

the answer I am getting is 11.55 can someone check it for me please?

\[(1.06)^t=2\] solve for \(t\)

doesn't matter what you start with, doubling time is doubling time

solve via
\[t=\frac{\ln(2)}{\ln(1.06)}\]

oh continuously!!

\[e^{.06t}=2\]
\[.06t=\ln(2)\]
\[t=\frac{\ln(2)}{.06}\]

no one compounds money continuously. just saying

yeah so I am right too :) my answer is 11.55

can you please help me with some little bit more problems?