A virus attacks a single user's computer and within one hour embeds itself in 50 email attachment files sent out to other users. By the end of the hour, 10% of these have been opened and have infected their host machines. If this process continues, how many machines will be infected at the end of 5 hours? Can you find a formula for the number of machines infected after nhours?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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A virus attacks a single user's computer and within
one hour embeds itself in 50 email attachment files
sent out to other users. By the end of the hour, 10%
of these have been opened and have infected their
host machines. If this process continues, how many
machines will be infected at the end of 5 hours?
Can you find a formula for the number of machines
infected after nhours?
Transcribed Image Text:A virus attacks a single user's computer and within one hour embeds itself in 50 email attachment files sent out to other users. By the end of the hour, 10% of these have been opened and have infected their host machines. If this process continues, how many machines will be infected at the end of 5 hours? Can you find a formula for the number of machines infected after nhours?
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