<PRE><B>Question 145288</B>
I am to recall that, when interest is compounded continuously, the balance in an account after t years is given by A = Pe^rt, where P is the initial investment and r is the interest rate.
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A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected? 
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100x10^6 = 20^(t/5)
Take the log to get:
(t/5)log20 = 8
t = 40/log(20)
t = 30.745.. minutes
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Cheers,
Stan H.

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