Question 225935
Instead of:
{{{N(t) = 3000(2)t/20}}}
I think you meant:
.
{{{N(t) = 3000(2)^(t/20)}}}
.
If so,
then
How many bacteria will be present after 40 minutes?
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{{{N(t) = 3000(2)^(t/20)}}}
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{{{N(40) = 3000(2)^(40/20)}}}
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{{{N(40) = 3000(2)^2}}}
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{{{N(40) = 3000(4)}}}
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{{{N(40) = 12000}}}
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How long will it take before there are 100,000 bacteria present?
Set N(t) to 100000 and solve for t:
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{{{N(t) = 3000(2)^(t/20)}}}
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{{{100000 = 3000(2)^(t/20)}}}
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{{{100/3 = (2)^(t/20)}}}
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{{{log(2,100/3) = t/20}}}
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{{{20*log(2,100/3) = t}}}
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101.18 minutes = t