pneha7520
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5, 06,000.
follow for follow ​

In A Laboratory The Count Of Bacteria In A Certain Experiment Was Increasing At The Rate Of 25 Per Hour Find The Bacteria At The End Of 2 Hours If The Count Was class=

Sagot :

yashika120907

Answer:

5,31,616 bacteria

Step-by-step explanation:

Solution:

Here, Principal (P) = 5,06,000, Rate of Interest (R) = 2.5%, Time (n) = 2 hours

After 2 hours, number of bacteria,

Amount (A) = P\left(1+\frac{R}{100}\right)^nP(1+100R)n

= 506000\left(1+\frac{2.5}{100}\right)^2506000(1+1002.5)2

= 506000\left(1+\frac{25}{1000}\right)^2506000(1+100025)2

= 506000\left(1+\frac{1}{40}\right)^2506000(1+401)2

= 506000\left(\frac{41}{40}\right)^2506000(4041)2

= 506000\times\frac{41}{40}\times\frac{41}{40}506000×4041×4041

= 5,31,616.25

Hence, number of bacteria after two hours are 531616 (approx.).

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.