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 details are, Count of bacteria in sample is = 13125000 The increase and decrease of growth rates are = 10%, -8%, 12% So, let the count of bacteria after 3 hours be = x By using the formula, A = P (1 + R/100) x = 13125000 (1 + 10/100) (1 – 8/100) (1 + 12/100) x = 13125000 (110/100) (92/100) (112/100) x = 13125000 (1.1) (0.92) (1.12) = 14876400 ∴ Count of bacteria after three 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 details are,

Count of bacteria in sample is = 13125000

The increase and decrease of growth rates are = 10%, -8%, 12%

So, let the count of bacteria after 3 hours be = x

By using the formula,

A = P (1 + R/100)

x = 13125000 (1 + 10/100) (1 – 8/100) (1 + 12/100)

x = 13125000 (110/100) (92/100) (112/100)

x = 13125000 (1.1) (0.92) (1.12)

= 14876400

∴ Count of bacteria after three hours will be 14876400.