the bacteria in culture grows at 5% per hour of what it had been at the beggining of the hour . if the culture at 11.am of a day was 18,00,000 find the countt of bacteria at 1.pm on that day

Question

the bacteria in culture grows at 5% per hour of what it had been
at the beggining of the hour if the culture at 11 am of a day was
18,00,000 find the countt of bacteria at 1 pm on that day

Eshan Uniyal · Answer

Time difference between 1 am and 11 am= 2 hours
Increase percentage= 5% per hour
Therefore, total increase in bacteria=
18,00,000[1+(5/100)]^2
=18,00,000 * 105/100 * 105/100 = 18 * 105 * 105 = 198,450