1. If the world population grows at a constant rate of 1.8% per annum, how many...
1. If the world population grows at a constant rate of 1.8% per annum, how many years will it take to double?
A) 17.7 years
B) 23.4 years
C) 35.0 years
D) 38.8 years
E) 69.7 years
2. A group of humans traveling in space discover a habitable planet. They settle down there and start populating it. Their population grows at a steady rate and doubles every 10 years. Thousand years after the first group of humans arrived, the planet is filled to half its carrying capacity. How many more years are there to reach the carrying capacity of the planet? Assume there are no resource crisis and they grow at the same rate.
A) 500 years
B) 1000 years
C) 5 years
D) 1 year
E) 10 years
3. For a growing quantity to reach a value 32 times its initial value, how many doubling times are required?
A) 4
B) 5
C) 16
D) 8
4. TRUE OR FALSE. For exponential growths, the growth in any doubling time is greater than the sum total of growth in all preceding doubling times
Homework Answers
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1. If the world population grows at a constant rate of 1.8% per
annum, how many...
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?
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1) You are told that a starting population of 1000 bacteria grows exponentially at a rate of 30% per hour, what will the population of bacteria be 4 hours after the start of the experiment? answers to choose from: a) 2197 b) 2856 c) 3713 d) 4000 2) If you knew the same colony of 1000 bacteria had a carrying capacity of 10,000 and an initial growth rate of 30%, what would the population pf bacteria be after 10 hours...
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b =...
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b = B/N; d = D/N: E) Net growth rate: R = b-d Exponential growth (discrete): N, NR* where R = 1+b-d Intrinsic rate of increase: r = InR Exponential growth (continuous): N:Noe -or-dN/dt = IN Logistic growth 1. Suppose a species of fish in a lake is modeled by a logistic population model with relative growth rate ofr 0.3 per year and carrying capacity of...
D Question 36 1 pts The study of population ecology is of interest to biologists, but...
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1- Assume a pond’s carrying capacity of frogs is 300 and the intrinsic growth rate is 0.3. What is the growth rate of frogs if there are 30 individuals currently present? Hint: dN/dt=rN((K-N)/K). a. 8 b. 5 c. 13 d. 3 2- If a starting population of cicadas is 100, the birth rate per capita is 0.6, the death rate per capita is 0.3, how big will the population of cicadas at 10 years? Hint: Nt=N0ert, r=b-d, and e=2.718. a....
A city's population is increasing at a rate of 2% per year. If this rate of...
A city's population is increasing at a rate of 2% per year. If this rate of growth remains the same and the population is 2 million in the year 2014, approximately how many people will there be after 20 years? 0 a.) 2.97 million O b.) 2.02 million O c.) 2.88 million O d.) 2.14 million
POPULATION MODELS: PLEASE ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP. The logistic growth model...
POPULATION MODELS: PLEASE
ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP.
The logistic growth model describes population growth when
resources are constrained. It
is an extension to the exponential growth model that includes an
additional term introducing
the carrying capacity of the habitat.
The differential equation for this model is:
dP/dt=kP(t)(1-P(t)/M)
Where P(t) is the population (or population density) at time t,
k > 0 is a growth constant,
and M is the carrying capacity of the habitat. This...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population,...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
1. Let's review the setup of the Solow growth model with saving rate s, constant population...
1. Let's review the setup of the Solow growth model with saving rate s, constant population growth rate n, and constant technology growth rate g Kt+1(1-8)K Lt+ 1 = (1 + n) Et+1-(1+g)E a) b) c) What is the steady-state capital and output per effective worker? (5pts) Solve for the golden rule level of capital. What is the saving rate then? (5pts) Many health experts have argued that malnutrition leads to reduced work capacity. Suppose in the Solow model, this...
1. Let's review the setup of the Solow growth model with saving rate s, constant population...
1. Let's review the setup of the Solow growth model with saving rate s, constant population growth rate n, and constant technology growth rate g Kt+1(1-8)K Lt+ 1 = (1 + n) Et+1-(1+g)E a) b) c) What is the steady-state capital and output per effective worker? (5pts) Solve for the golden rule level of capital. What is the saving rate then? (5pts) Many health experts have argued that malnutrition leads to reduced work capacity. Suppose in the Solow model, this...
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...
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b = B/N; d = D/N: E) Net growth rate: R = b-d Exponential growth (discrete): N, NR* where R = 1+b-d Intrinsic rate of increase: r = InR Exponential growth (continuous): N:Noe -or-dN/dt = IN Logistic growth 1. Suppose a species of fish in a lake is modeled by a logistic population model with relative growth rate ofr 0.3 per year and carrying capacity of...
D Question 36 1 pts The study of population ecology is of interest to biologists, but it has no practical value. True False Question 37 1 pts The exponential growth rate of humans will ultimately reach a carrying capacity O True False
A city's population is increasing at a rate of 2% per year. If this rate of growth remains the same and the population is 2 million in the year 2014, approximately how many people will there be after 20 years? 0 a.) 2.97 million O b.) 2.02 million O c.) 2.88 million O d.) 2.14 million
POPULATION MODELS: PLEASE
ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP.
The logistic growth model describes population growth when
resources are constrained. It
is an extension to the exponential growth model that includes an
additional term introducing
the carrying capacity of the habitat.
The differential equation for this model is:
dP/dt=kP(t)(1-P(t)/M)
Where P(t) is the population (or population density) at time t,
k > 0 is a growth constant,
and M is the carrying capacity of the habitat. This...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
1. Let's review the setup of the Solow growth model with saving rate s, constant population growth rate n, and constant technology growth rate g Kt+1(1-8)K Lt+ 1 = (1 + n) Et+1-(1+g)E a) b) c) What is the steady-state capital and output per effective worker? (5pts) Solve for the golden rule level of capital. What is the saving rate then? (5pts) Many health experts have argued that malnutrition leads to reduced work capacity. Suppose in the Solow model, this...
1. Let's review the setup of the Solow growth model with saving rate s, constant population growth rate n, and constant technology growth rate g Kt+1(1-8)K Lt+ 1 = (1 + n) Et+1-(1+g)E a) b) c) What is the steady-state capital and output per effective worker? (5pts) Solve for the golden rule level of capital. What is the saving rate then? (5pts) Many health experts have argued that malnutrition leads to reduced work capacity. Suppose in the Solow model, this...
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