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Oksana_A [137]
3 years ago
6

a bacteria population starts with 200 bacteriaa and grows at a rate of r(t) = (450.268)e 1.12567t bacteria per hour. How many ba

cteria will there be after three hours?
Business
1 answer:
Virty [35]3 years ago
4 0

Answer:

11,513

Explanation:

Data provided in the question:

Initial bacteria = 200

Growth rate r(t) = (450.268)e^{1.12567t}

Now,

Total growth after 3 hours = \int\limits^3_0 {(450.268)e^{1.12567t}} \, dt

or

Total growth after 3 hours = 450.268\int\limits^3_0 {e^{1.12567t}} \, dt

or

Total growth after 3 hours =450.268[\frac{e^{1.12567t}}{1.12567}]^3_0

[ ∵ \int{d(e^x)}{dt}=\frac{e^x}{\frac{dx}{dt}}]

Thus,

Total growth after 3 hours = 400 × [{e^{1.12567t}]^3_0

or

Total growth after 3 hours = 400 × [{e^{1.12567(3)}-e^{1.12567(0)}]

or

Total growth after 3 hours ≈ 11313

Hence,

Total bacteria after 3 hours = Initial bacteria + Total growth after 3 hours

= 200 + 11313

= 11,513

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Answer:

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But MIS are just one more tool that managers can use, it doesn't replace managers and it doesn't make decisions by itself, its main purpose is to provide useful information that managers can use.

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Answer:

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Answer:

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