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The population of a place increced to 54000 in 2003 at rate of st.
(11) Find populationin 2001
(11) Find population in 2005?
(11) Find populationin 2001
(11) Find population in 2005?
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The population of a place increced to 54000 in 2003 at rate of st.(11)...
Understanding Population Growth
To find the population in 2001 and 2005 given a population of 54,000 in 2003 at a rate of 11% per annum, we can use the formula for population growth:
Population Growth Formula
- The formula for calculating future population based on growth rate is:
\[ P = P_0 (1 + r)^t \]
Where:
- \( P \) = future population
- \( P_0 \) = initial population
- \( r \) = growth rate (as a decimal)
- \( t \) = time in years
Finding Population in 2001
- We need to calculate backwards from 2003 to 2001, which means \( t = -2 \).
- Given:
- \( P = 54000 \)
- \( r = 0.11 \)
- \( t = -2 \)
- Plugging in the values:
\[ 54000 = P_0 (1 + 0.11)^{-2} \]
\[ 54000 = P_0 (1.11)^{-2} \]
\[ 54000 = P_0 \times 0.81 \]
- Solving for \( P_0 \):
\[ P_0 = \frac{54000}{0.81} \approx 66666.67 \]
- Therefore, the population in 2001 was approximately 66,667.
Finding Population in 2005
- Now, calculate forwards from 2003 to 2005, where \( t = 2 \).
- We use the same formula:
\[ P = 54000 \times (1 + 0.11)^2 \]
\[ P = 54000 \times (1.11)^2 \]
\[ P = 54000 \times 1.2321 \]
- Calculating:
\[ P \approx 66300 \]
- Thus, the population in 2005 is approximately 66,300.
Summary
- Population in 2001: 66,667
- Population in 2005: 66,300
To find the population in 2001 and 2005 given a population of 54,000 in 2003 at a rate of 11% per annum, we can use the formula for population growth:
Population Growth Formula
- The formula for calculating future population based on growth rate is:
\[ P = P_0 (1 + r)^t \]
Where:
- \( P \) = future population
- \( P_0 \) = initial population
- \( r \) = growth rate (as a decimal)
- \( t \) = time in years
Finding Population in 2001
- We need to calculate backwards from 2003 to 2001, which means \( t = -2 \).
- Given:
- \( P = 54000 \)
- \( r = 0.11 \)
- \( t = -2 \)
- Plugging in the values:
\[ 54000 = P_0 (1 + 0.11)^{-2} \]
\[ 54000 = P_0 (1.11)^{-2} \]
\[ 54000 = P_0 \times 0.81 \]
- Solving for \( P_0 \):
\[ P_0 = \frac{54000}{0.81} \approx 66666.67 \]
- Therefore, the population in 2001 was approximately 66,667.
Finding Population in 2005
- Now, calculate forwards from 2003 to 2005, where \( t = 2 \).
- We use the same formula:
\[ P = 54000 \times (1 + 0.11)^2 \]
\[ P = 54000 \times (1.11)^2 \]
\[ P = 54000 \times 1.2321 \]
- Calculating:
\[ P \approx 66300 \]
- Thus, the population in 2005 is approximately 66,300.
Summary
- Population in 2001: 66,667
- Population in 2005: 66,300
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The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005?
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The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005? 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 population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005?.
The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005? 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 population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005?.
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