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The annual growth rate in population of a certain city is 8percent if its present population is 196830 what was the population3 yrs ago?
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Population Calculation:
To calculate the population 3 years ago, we need to understand the annual growth rate and how it affects the current population.
Annual Growth Rate:
The annual growth rate is given as 8 percent. This means that every year, the population of the city increases by 8 percent of its current population.
Calculating the Present Population:
Let's assume the population 3 years ago was P.
After the first year, the population would have increased by 8 percent, so it would be P + 0.08P = 1.08P.
After the second year, the population would have increased by another 8 percent, so it would be 1.08P + 0.08(1.08P) = 1.1664P.
After the third year, the population would have increased by another 8 percent, so it would be 1.1664P + 0.08(1.1664P) = 1.259712P.
We are given that the present population is 196830, so we can set up the equation:
1.259712P = 196830
Solving this equation will give us the value of P, which is the population 3 years ago.
Solution:
1.259712P = 196830
Dividing both sides of the equation by 1.259712 gives:
P = 196830 / 1.259712
P ≈ 156000
Therefore, the population 3 years ago was approximately 156000.
To calculate the population 3 years ago, we need to understand the annual growth rate and how it affects the current population.
Annual Growth Rate:
The annual growth rate is given as 8 percent. This means that every year, the population of the city increases by 8 percent of its current population.
Calculating the Present Population:
Let's assume the population 3 years ago was P.
After the first year, the population would have increased by 8 percent, so it would be P + 0.08P = 1.08P.
After the second year, the population would have increased by another 8 percent, so it would be 1.08P + 0.08(1.08P) = 1.1664P.
After the third year, the population would have increased by another 8 percent, so it would be 1.1664P + 0.08(1.1664P) = 1.259712P.
We are given that the present population is 196830, so we can set up the equation:
1.259712P = 196830
Solving this equation will give us the value of P, which is the population 3 years ago.
Solution:
1.259712P = 196830
Dividing both sides of the equation by 1.259712 gives:
P = 196830 / 1.259712
P ≈ 156000
Therefore, the population 3 years ago was approximately 156000.
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The annual growth rate in population of a certain city is 8percent if its present population is 196830 what was the population3 yrs ago?
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The annual growth rate in population of a certain city is 8percent if its present population is 196830 what was the population3 yrs ago? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The annual growth rate in population of a certain city is 8percent if its present population is 196830 what was the population3 yrs ago? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The annual growth rate in population of a certain city is 8percent if its present population is 196830 what was the population3 yrs ago?.
The annual growth rate in population of a certain city is 8percent if its present population is 196830 what was the population3 yrs ago? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The annual growth rate in population of a certain city is 8percent if its present population is 196830 what was the population3 yrs ago? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The annual growth rate in population of a certain city is 8percent if its present population is 196830 what was the population3 yrs ago?.
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