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Alexeev081 [22]
3 years ago
10

A bacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.262)e1.12567t bacteria per hour. how many bact

eria will there be after three hours? (round your answer to the nearest integer.)
Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

5,274,027 bacteria

Step-by-step explanation:

First, we find the function of number of bacteria:

N(t)=400(450.262)\,e^{1.12567t}\\ N(t)=180104.8\,e^{1.12567t}

Now, we replace t=3 and operate.

N(3) = 180104.8\,e^{1.12567(3)}=180104.8(29.2831)\\ N(3)=5274026.86888\approx 5274027

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