Asked by hhmv

Fiona invested
$
3000
at
6
%
compounded continuously. At the same time, Maria invested
$
3200
at
6
%
compounded daily. How long will it take (to the nearest day) for their investments to be equal in value?

Answers

Answered by oobleck
why all those newlines? Very annoying.
3000e^(.06x) = 3200(1 + .06/365)^(365x)
x = 13,088.4 years

daily and continuous compounding are very close to equal, so that $200 head start takes a long time to make up.
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