The principal amount .
The rate of interest .
The amount is doubled in years.
The amount .
Compounded continuously.
\Formula for continuous compounding: .
Apply ln on each side.
\Apply power rule of logarithms: .
Substitute the value of .
Substitute .
years.
The principal amount .
The rate of interest .
The period of time .
Formula for continuous compounding: .
The total amount is,
\The total amount after years
$.
Initial investment | Annual rate | Time to double | Amount after ![]() |
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