Homework Answers
Given that population of a small city is 25,000 means initial population is 25,000 and rate of growth is 3% per years.
1)we have to determine the population after t years from now.
As population growth equation is
Final population=Initial population × e^ (rate of growth)(time)
P=Po ert
Po=25,000
r=3%
t= t years
P=25,000 e3 t
2)when t=3 years from above
P= 25,000 e3×3
P=25,000 e9
P=25,000 × 8103.08
P=20,25,77,098 Approx
Add Answer to:
The population of a small city of 25,000 grows at a rate of 3% per year....
Write and equation for each then solve: For a period of time, an island's population 1) grows at a rate proportiona...
Write and equation for each then solve: For a period of time, an island's population 1) grows at a rate proportional to its population. If the growth rate is 3.8% per year and the current population is 1543, what will the population be 5.2 years from now? 2) A savings account balance is compounded continuously. If the interest rate is 3.1% per year and the current balance is S1077.00, in how many years will the balance reach $1486.73?
Write and...
In t years, the population of a certain city grows from 500,000 to a size P...
In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 8000+?. dP a) Find the growth rate dt b) Find the population after 10 yr. c) Find the growth rate at t= 10. d) Explain the meaning of the answer to part (c).
Suppose the world population today is 7 billion, and sup- pose this population grows at a...
Suppose the world population today is 7 billion, and sup- pose this population grows at a constant rate of 3% per year from now on. (This rate is almost certainly much faster than the future population growth rate; the high rate used here is useful for pedagogy. If you like, you can use a spreadsheet program to help you with this question.) (a) What would the population equal 100 years from now? (b) Compute the level of the population for...
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts...
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts where t is measured in years. (a) Find the population at time <= 0 and at time <= 2. (Round your answers to the nearest whole number.) PCO) P(2) - (b) When, to the nearest year, will the population reach 16,000? yr
A city has a population of 290,000 people. Suppose that each year the population grows by...
A city has a population of 290,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 14 years? Use the calculator provided and round your answer to the nearest whole number. people x 6 ?
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional...
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answe terms Po, a, k and a constant C.) wer must contain the...
6. A new suburb of a large city starts with a population of 500 people, and...
6. A new suburb of a large city starts with a population of 500 people, and grows 1.15 times bigger each year (a) Give an equation for the population as a function of the number of years. (b) An older suburb of the same city has an initial population of 1000 people, and is decreasing at a rate of 5% per year. Give an equation for the population of the second suburb as a function of the number of years...
In 2012, the population of a city was 629 million. The exponential growth rate was 3.41%...
In 2012, the population of a city was 629 million. The exponential growth rate was 3.41% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018 c) When will the population of the city be 8 million? d) Find the doubling time a) The exponential growth function is P(t)wher t is in terms of the number of years since 2012 and P() is the population in millions. (Type exponential notation with positive exponents....
In 2012, the population of a city was 5.42 million. The exponential growth rate was 1.75%...
In 2012, the population of a city was 5.42 million. The exponential growth rate was 1.75% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018 c) When will the population of the city be 9 million? d) Find the doựbling time a) The exponential growth function is (t) = where t is in terms of the number of years since 2012 and P(t) is the population in millions (Type exponential notation with...
In 2012, the population of a city was 5.82 million. The exponential growth rate was 2.28%...
In 2012, the population of a city was 5.82 million. The exponential growth rate was 2.28% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) = , where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation...
Write and equation for each then solve: For a period of time, an island's population 1) grows at a rate proportional to its population. If the growth rate is 3.8% per year and the current population is 1543, what will the population be 5.2 years from now? 2) A savings account balance is compounded continuously. If the interest rate is 3.1% per year and the current balance is S1077.00, in how many years will the balance reach $1486.73?
Write and...
In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 8000+?. dP a) Find the growth rate dt b) Find the population after 10 yr. c) Find the growth rate at t= 10. d) Explain the meaning of the answer to part (c).
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts where t is measured in years. (a) Find the population at time <= 0 and at time <= 2. (Round your answers to the nearest whole number.) PCO) P(2) - (b) When, to the nearest year, will the population reach 16,000? yr
A city has a population of 290,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 14 years? Use the calculator provided and round your answer to the nearest whole number. people x 6 ?
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answe terms Po, a, k and a constant C.) wer must contain the...
6. A new suburb of a large city starts with a population of 500 people, and grows 1.15 times bigger each year (a) Give an equation for the population as a function of the number of years. (b) An older suburb of the same city has an initial population of 1000 people, and is decreasing at a rate of 5% per year. Give an equation for the population of the second suburb as a function of the number of years...
In 2012, the population of a city was 629 million. The exponential growth rate was 3.41% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018 c) When will the population of the city be 8 million? d) Find the doubling time a) The exponential growth function is P(t)wher t is in terms of the number of years since 2012 and P() is the population in millions. (Type exponential notation with positive exponents....
In 2012, the population of a city was 5.42 million. The exponential growth rate was 1.75% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018 c) When will the population of the city be 9 million? d) Find the doựbling time a) The exponential growth function is (t) = where t is in terms of the number of years since 2012 and P(t) is the population in millions (Type exponential notation with...
In 2012, the population of a city was 5.82 million. The exponential growth rate was 2.28% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) = , where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation...
Most questions answered within 3 hours.
-
What could be a possible reason that protozoan infections are
increasing in the United States
asked 1 minute from now -
Assume a class has 19 members.
a. In how many ways can a president, a vice...
asked 37 seconds ago -
Implement a Full Adder with two 4x1 Mux and the MSB as possible
inputs of the...
asked 8 minutes ago -
offering the survey (maybe via smart phones) is a good idea?
why?
asked 5 minutes ago -
Claim: At most 81% of adults do not have hypertension. When 869
randomly selected adults were...
asked 2 minutes ago -
2. Construct a business plan for your proposed business in
question 1, paying particular attention to:...
asked 3 minutes ago -
1. Choose a work situation in which you were required to do a
lot of creative...
asked 9 minutes ago -
An aqueous solution of barium hydroxide is
standardized by titration with a 0.196 M solution
of...
asked 49 minutes ago -
accorsing to the data from thw college board, the mean wuantitive
Sat score for s demale...
asked 1 hour ago -
1- What are 5 general characteristics of Botticelli’s
paintings?
2- Describe 5 important traits of Flemish...
asked 3 hours ago -
A golfer claims that his average golf score at the course he
plays regularly is less...
asked 3 hours ago -
On May 1, First Bank perfected a security interest in Debtor’s
inventory. On June 1, Bob...
asked 4 hours ago