To calculate the growth of a bacteria if the rate of growth is known, the formula for calculation of amount in compound interest can be used. Is the following statement true or false
Solution:
The statement is True.
The formula for calculating compound interest can be used and the formula is as follows:
A = P(1 + r/100)ⁿ
The above formula can be modified to use it for calculating growth of bacteria:
\(P_{t+n} = P_{t}(1 ± g/100)^{n}\)
where
\(P_{t+n}\) = Population of bacteria in time period t+n
\(P_{t}\) = Population of bacteria in time period t
t = 0 to n
n is a whole number =period of growth or decay
g = growth/decay rate of bacteria
✦ Try This: The population of bacteria kept in a dish in a laboratory grows at the rate of 20% per day. What will be the population of the bacteria in the dish after 2 days if the present population is 120,745.
The compounding formula which is used here is:
\(P_{t+n} = P_{t}(1 ± g/100)^{n}\)
P(after two days) = 120745(1 + 20/100)²
= 120745(1 + 0.02)²
= 120745 × 1.0404
= 125624
This is the population of bacteria after two days.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 8
NCERT Exemplar Class 8 Maths Chapter 9 Problem 46
To calculate the growth of a bacteria if the rate of growth is known, the formula for calculation of amount in compound interest can be used. Is the following statement true or false
Summary:
To calculate the growth of a bacteria if the rate of growth is known, the formula for calculation of amount in compound interest can be used is a True Statement
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