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66.44 Minutes
Step-by-step explanation:
The number of Bacteria, B(t) at any time t(in minutes) is given by the function:
B(t)=100\cdot 2^{t/10}B(t)=100⋅2
t/10
We want to determine the time(in minutes) for the culture to achieve 10,000 bacteria.
Therefore:
10000=100\cdot 2^{t/10}10000=100⋅2
t/10
Divide both sides by 100
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Answer:
66.44 minutes.
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