Question

in a biogas plant the population of yeast bacteria increases to 9% per annum, but there is an additional increase of 1% in population due to various other inputs in the system. the percentage increase in the yeast population after 2 years is ?​

Answer 1

Percentage improvement in the state of the bacteria after 2 years will be 21%

Step-by-step explanation:

In a biogas plant, the group of yeast bacteria grows 9% per year.

• In addition to this, there is an additional increase of 1% in population due to various factors.

• Therefore, the total increase in the population of the bacteria in one year = (9+1) = 10%

• If the present population of the bacteria is x then population after 1 year will be

                          = (x + 10% of x)

                           = 1.10x

• Since population growth creates a geometric series therefore, the series will be in the form of x, x(1.10), x(1.1)²..........

• Therefore, the percentage increase in population after 2 years

                                 = $\frac{population\ growth}{present\ growth} X 100$

                                 = $\frac{(1.1)^{2}x-x }{x} X 100$

                                  = $(1.21-1) X 100$

                                  = 21%

To learn more:

The population of a bacteria grows 10,000 times in 10 hours. if the ...

https://brainly.in/question/9750692

The number of bacteria increases in the geometric progression of 2 ...

https://brainly.in/question/7604671