Mathematics, 25.05.2021 04:10, bcampos5397
ITS Sys Admin Pat is dealing with a computer virus outbreak. Pat esti- mates that every second at least 1 uninfected computer becomes infected for every 5 computers already infected on campus. To be exact there will be (C/5 newly infected computers in the next second if there are currently C infected computers. Pat is able to disinfect at most 10 computers per second. If Pat knows that there are at least 60 infected computers now, prove by induction that in n seconds there will be at least 12 6 10 + 50 infected computers. 5
Answers: 3
at least 
computers are infected
and ![$\frac{1}{5}\left[50+12(0.6)^k\right]$](/tpl/images/1345/5658/381e9.png)
second.![$\geq 50+12(0.6)^k + 1/5[50+12(0.6)^k]-10$](/tpl/images/1345/5658/f2de4.png)
![$\geq 50+12(0.6)^k +10+ 0.5[12(0.6)^k]-10$](/tpl/images/1345/5658/d1cab.png)
![$\geq 50+12(0.6)^k+0.5[12(0.6)^k]$](/tpl/images/1345/5658/9186a.png)
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ITS Sys Admin Pat is dealing with a computer virus outbreak. Pat esti- mates that every second at le...
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