can someone help please?

- anonymous

can someone help please?

- chestercat

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- TuringTest

better to just ask a question

- anonymous

can someone help me im stumped on this problem i need help please. 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?

- bahrom7893

the computer's screwed

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## More answers

- bahrom7893

does it have something to do with powers turing? i suck at these types of questions

- anonymous

logs and exponential functions

- TuringTest

it's not my thing either...

- anonymous

\[20^{\frac{t}{5}}=100,000,000\]

- TuringTest

I almost came up with that!

- anonymous

oh crap that is wrong. that will not do it

- TuringTest

plus one in there right?

- anonymous

because i was not counting the ones already infected

- TuringTest

\[20^{1+\frac t5}=10000000\]

- TuringTest

no?

- anonymous

gotta sum this sucker up, let me see if i remember.

- anonymous

10^8=20^5t

- anonymous

should be
\[\frac{t}{5}\] or maybe what turing said, but we are neglecting the ones infected along the way

- anonymous

\[20+20^2+20^3+...\]

- anonymous

so lets try
\[\sum_{k=1}^n20^k=10^8\]
\[\frac{20^{n+1}-1}{19}=10^8\]
\[20^{n+1}=19\times 10^8\]
\[(n+1)=\frac{\ln(19\times 10^8)}{\ln(20)}\]

- anonymous

can you please explain what you have?

- anonymous

i was summing the geomtric series
\[20 + 20^2+20^3+...\] and seeing when it would equal 10^8

- anonymous

i get approximately 7, so that means around 35 minutes

- anonymous

so it would 20^7 how can i log it

- anonymous

I got it 20^5t=10^8

- anonymous

20^0t=120/4

- anonymous

t=30

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