Question

the number of bacteria in a culture increases by 5% in the first hour decreased by 10% in the second hour and again increases by 10% in the third hour if the count of bacteria in the beginning was 5,00,00,000 what will be the count of bacteria after 3 hours

I"ll mark the correct answer brainliest!!​

Answer 1

The number of the bactera at the onset=10000.

We know that Finalcount=initialcount±((initialcount)×

100

time×rate

).

∴ In the first hour, the number increases by 10%,so total number of count becomes

10000+(10000×

100

10

)=11000.

In the second hour, the number decreases by 10%

So the rate is negative.

∴ In the second hour, the number of bacteria is

11000−(11000×

100

10

)=9900.

In the third hour the number of bacteria increases by 10%

∴ In the third hour, the number of bacteria is

9900+(9900×

100

10

)=10890.

So, at the end of 3hours the number of bacteria is 10890.