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A virus is spreading exponentially. The initial amount of people infected is 40 and it is increasing at a rate of 5% per day. How many people will be infected with the virus after 12 days? Round to the nearest whole number Enter your answer in the box.

A virus is spreading exponentially The initial amount of people infected is 40 and it is increasing at a rate of 5 per day How many people will be infected with class=

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caylus

Hello,

[tex]40*1.05^{12}=71.83425\approx{72}[/tex]
gmany
[tex]100\%+5\%=105\%=1.05\\\\\#0-40\\\#1-40\cdot1.05=42\\\#2-40\cdot1.05\cdot1.05=40\cdot1.05^2=44.1\\\#3-40\cdot1.05\cdot1.05\cdot1.05=40\cdot1.05^3=46.305\\\vdots\\\text{therefore}\\\#12-40\cdot1.05^{12}\approx71.834\approx72\\\\\text{Answer:}\ 72[/tex]

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