Class 8 Exam > Class 8 Questions > The population of a place increced to 54000 i...
Start Learning for Free
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?
Most Upvoted Answer
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
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005?
Question Description
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?.
Solutions for The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005? defined & explained in the simplest way possible. Besides giving the explanation of
The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005?, a detailed solution for The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005? has been provided alongside types of The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005? theory, EduRev gives you an
ample number of questions to practice The population of a place increced to 54000 in 2003 at rate of st.(11) Find populationin 2001(11) Find population in 2005? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup