The count of bacteria in a culture grows by 10% in the first hour, dec

1.	The count of bacteria in a culture grows by 10% in the first hour, decreases by 8% in the second hour and again increases by 12% in the third hour. If the count of bacteria in the sample is 13125000, what will be the count of bacteria after 3 hours?
Answer» Given, Count of bacteria in sample = 13125000 According to increase and decrease of growth rates, Let count of bacteria after 3 hours = X So, = 13125000\(({1}+\frac{10}{100})({1}-\frac{8}{100})({1}+\frac{12}{100})\) = x = 13125000\(\times\frac{11}{10}\times\frac{23}{25}\times\frac{28}{25} = x\) \(= x=\frac{1312500 \times 10 \times 25 \times 25}{11 \times 23 \times 28}\) = 14876400 Hence, Count of bacteria after 3 hours will be = 14876400

The count of bacteria in a culture grows by 10% in the first hour, decreases by 8% in the second hour and again increases by 12% in the third hour. If the count of bacteria in the sample is 13125000, what will be the count of bacteria after 3 hours?

Answer»

Given,

Count of bacteria in sample = 13125000

According to increase and decrease of growth rates,

Let count of bacteria after 3 hours = X

So,

= 13125000\(({1}+\frac{10}{100})({1}-\frac{8}{100})({1}+\frac{12}{100})\) = x

= 13125000\(\times\frac{11}{10}\times\frac{23}{25}\times\frac{28}{25} = x\)

\(= x=\frac{1312500 \times 10 \times 25 \times 25}{11 \times 23 \times 28}\) = 14876400

Hence,

Count of bacteria after 3 hours will be = 14876400