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A colony of bacteria is growing at a rate of 75% per hour. If this rate of growth remains the same and the colony starts with 200 bacteria, approximately how many bacteria will there be after 12 hours

Respuesta :

There will be 165,001 Bacteria after 12 hours.

Given: initial number of bacteria = 200

Growing rate of bacteria = 75% per hour = 1.75 per hour

Now, number of bacteria after one hour = 200 + 200 x 1.75 = 350

Again the number of bacteria after two hours = 350 + 350 x 1.75 = 612.5

Similarly,

The number of bacteria after 12 hours = 200 x [tex]1.75^{2}[/tex] = 165,001 (approx.)

Hence, Approximately there will be 165,001 bacteria will be there after 12 hours.

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