Question

5. In a certain experiment the count of bacteria was increasing at the rate of 2.5 % per hour. Initially the count was 1200000, What will the count be after 2 hours?

Answer 1

Answer:

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.).