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Mathematics 9 Online
OpenStudy (anonymous):

can someone help please?

OpenStudy (turingtest):

better to just ask a question

OpenStudy (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?

OpenStudy (bahrom7893):

the computer's screwed

OpenStudy (bahrom7893):

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

OpenStudy (anonymous):

logs and exponential functions

OpenStudy (turingtest):

it's not my thing either...

OpenStudy (anonymous):

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

OpenStudy (turingtest):

I almost came up with that!

OpenStudy (anonymous):

oh crap that is wrong. that will not do it

OpenStudy (turingtest):

plus one in there right?

OpenStudy (anonymous):

because i was not counting the ones already infected

OpenStudy (turingtest):

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

OpenStudy (turingtest):

no?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

10^8=20^5t

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

can you please explain what you have?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

i get approximately 7, so that means around 35 minutes

OpenStudy (anonymous):

so it would 20^7 how can i log it

OpenStudy (anonymous):

I got it 20^5t=10^8

OpenStudy (anonymous):

20^0t=120/4

OpenStudy (anonymous):

t=30

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