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.The population of a town increases every year by 2% of the population beginning of that year.T he (a) 7 years (b) 10 years (c) 17 years (approximately)?
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.The population of a town increases every year by 2% of the population...
Population Growth Calculation
- The population of the town increases every year by 2% of the population at the beginning of that year.
(a) 7 years
- To calculate the population after 7 years, we need to consider the compound interest formula:
- P = P0(1 + r)^n, where P is the final population, P0 is the initial population, r is the growth rate (2% or 0.02), and n is the number of years.
- For 7 years:
- P = P0(1 + 0.02)^7
- P = P0(1.02)^7
- P ≈ P0 * 1.1497
- Therefore, after 7 years, the population will increase by approximately 14.97%.
(b) 10 years
- For 10 years:
- P = P0(1 + 0.02)^10
- P = P0(1.02)^10
- P ≈ P0 * 1.2189
- Therefore, after 10 years, the population will increase by approximately 21.89%.
(c) 17 years
- For 17 years:
- P = P0(1 + 0.02)^17
- P = P0(1.02)^17
- P ≈ P0 * 1.4284
- Therefore, after 17 years, the population will increase by approximately 42.84%.
Therefore, the population growth will be approximately 14.97% after 7 years, 21.89% after 10 years, and 42.84% after 17 years.
- The population of the town increases every year by 2% of the population at the beginning of that year.
(a) 7 years
- To calculate the population after 7 years, we need to consider the compound interest formula:
- P = P0(1 + r)^n, where P is the final population, P0 is the initial population, r is the growth rate (2% or 0.02), and n is the number of years.
- For 7 years:
- P = P0(1 + 0.02)^7
- P = P0(1.02)^7
- P ≈ P0 * 1.1497
- Therefore, after 7 years, the population will increase by approximately 14.97%.
(b) 10 years
- For 10 years:
- P = P0(1 + 0.02)^10
- P = P0(1.02)^10
- P ≈ P0 * 1.2189
- Therefore, after 10 years, the population will increase by approximately 21.89%.
(c) 17 years
- For 17 years:
- P = P0(1 + 0.02)^17
- P = P0(1.02)^17
- P ≈ P0 * 1.4284
- Therefore, after 17 years, the population will increase by approximately 42.84%.
Therefore, the population growth will be approximately 14.97% after 7 years, 21.89% after 10 years, and 42.84% after 17 years.
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.The population of a town increases every year by 2% of the population beginning of that year.T he (a) 7 years (b) 10 years (c) 17 years (approximately)?
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.The population of a town increases every year by 2% of the population beginning of that year.T he (a) 7 years (b) 10 years (c) 17 years (approximately)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about .The population of a town increases every year by 2% of the population beginning of that year.T he (a) 7 years (b) 10 years (c) 17 years (approximately)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for .The population of a town increases every year by 2% of the population beginning of that year.T he (a) 7 years (b) 10 years (c) 17 years (approximately)?.
.The population of a town increases every year by 2% of the population beginning of that year.T he (a) 7 years (b) 10 years (c) 17 years (approximately)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about .The population of a town increases every year by 2% of the population beginning of that year.T he (a) 7 years (b) 10 years (c) 17 years (approximately)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for .The population of a town increases every year by 2% of the population beginning of that year.T he (a) 7 years (b) 10 years (c) 17 years (approximately)?.
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