Consider a population of antelope, with P0=2,750, carrying capacity K=3,875, and growth rate r=0.073 (or 7.3%)...

Consider a population of antelope, with P0=2,750, carrying capacity K=3,875, and growth rate r=0.073 (or 7.3%) per year. Assuming that this population follows logistic growth, find P(t), then use the solution to predict the population after 8 years. Round your final answer to the nearest integer value and do not include units.

Expert Solution

milcah answered 2 years ago

I have a logistic growth equation for a population where K = 820 carrying capacity, and...

I have a logistic growth equation for a population where K = 820 carrying capacity, and P(0) =550 initial population with a growth rate r of 0.25. Using the equation P= K/(1+A.e^-rt) i can find out the Value of A from initial conditions as A=(K-P(0))/P(0) and apply the equation to calculate values of P at different time intervals between 0 ans 12 years. If I have to use the same parameters as a logistic decay starting with an initial population...

Using the carrying capacity model recursively, k= 800 million, the population of the United States for...

Using the carrying capacity model recursively, k= 800 million, the population of the United States for each year between 1950-2017. 1950 population was 158804 thousand. What is the model’s predicted U.S. population for the year 1999 (in thousands)? the growth rate of 0.01078. Give your answer correct to the nearest whole number.

Consider an economy with the interest rate at r = 0.25 and no growth rate. The...

Consider an economy with the interest rate at r = 0.25 and no growth rate. The market where firms compete is very volatile and there is a high probability h = 0.2 that the industry collapse. Would the firms accept a collusive agreement to set monopoly price and share equally the market if I = {1, 2}?

Biologists stocked a lake with 400fish and estimated the carrying capacity (the maximal population for the...

Biologists stocked a lake with 400fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7300. The number of fish grew to 620 in the first year. a)Find an equation for the number of fish P(t) after t years b) How long will it take for the population to increase to 3650 (half of the carrying capacity)? It will take ???? years.

Consider the Solow model for an economy with a population growth rate of 4%, a depreciation...

Consider the Solow model for an economy with a population growth rate of 4%, a depreciation rate of 12%, a savings rate of 20%, and a production function of Y=5K1/2N1/2 What would the golden-rule savings rate be? Explain what the golden-rule savings rate achieves. Explain what policymakers can do in order to achieve the golden-rule savings rate.

The carrying capacity for a country is 800 million. The population grew from 282 million in...

The carrying capacity for a country is 800 million. The population grew from 282 million in the year 2000 to 309 million in the year 2010. 1) Make a logistical model for determining the country's population 2) Use this model to predict the country's population in 2100 3) Predict the year in which the population will exceed 500 million

Assume the carrying capacity of the earth is 15 billion. Use the 1960s peak annual growth...

Assume the carrying capacity of the earth is 15 billion. Use the 1960s peak annual growth rate of 2.1% and population of 3 billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of 6.8 billion. How does the predicted growth rate compare to the actual growth rate of about 1.2% per year? What is the base growth rate? Assume the carrying capacity of the earth is 15 billion. Use the...

8. If D1 = $1.25, g (dividend growth rate) = 4.7%, and P0 = $26.00, what...

8. If D1 = $1.25, g (dividend growth rate) = 4.7%, and P0 = $26.00, what is the stock’s expected dividend yield for the coming year? a. 4.12% b. 4.34% c. 4.57% d. 4.81% e. 5.05%

A certain elevator has a maximum legal carrying capacity of 6000 pounds. Suppose that the population...

A certain elevator has a maximum legal carrying capacity of 6000 pounds. Suppose that the population of all people who ride this elevator have a mean weight of 160 pounds with a standard deviation of 25 pounds. If 35 of these people board the elevator, what is the probability that their combined weight will exceed 6000 pounds? Assume that the 35 people constitute a random sample from the population.

16. Which of the following best describes when a population has reached carrying capacity within an...

16. Which of the following best describes when a population has reached carrying capacity within an ecosystem (A) Birth rate= death rate (b) Population growth accuracy exponentially (c) Organism are adjusting to new environmental conditions (d) Birth rate exceed death rate

Question