in a laboratory the count of bacteria in a certain experiment 2.5 percentage per hour . find the count of the bacteria at the end of 2 hours if it was 5,60,000 in the beginning..
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Step-by-step explanation:
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Step-by-step explanation:
Given:
Intial count of Bacteria (P) = 5,06,000, increasing Rate of Bacteria(R) = 2.5%, Time = 2 hours
After 2 hours, number of bacteria,
Amount (A) = P(1+R/100)^n
A= 506000(1+2.5/100)^n
A= 506000(1+25/1000)²
A= 506000(1+1/40)²
A= 506000(41/40)²
A= 506000(41×41/40×40)
A= 506000×1681/ 1600
A=(5060 × 1681) /16
A= 316.25×1681
A= 5,31,616.25
Hence, the number of bacteria after two hours are 531616 (approx.).
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