Question

In: Statistics and Probability

Consider a population that begins growing exponentially at a base rate of 4.8​% per year and...

Consider a population that begins growing exponentially at a base rate of 4.8​% per year and then follows a logistic growth pattern. If the carrying capacity is 60 ​million, find the actual fractional growth when the population is at 10​ million, 30​ million, and 50 million.

Solutions

Expert Solution


Related Solutions

Consider an imaginary economy that has been growing at a rate of 4% per year. Government...
Consider an imaginary economy that has been growing at a rate of 4% per year. Government economists have proposed a number of policies to increase the growth rate but first need to convince the President that the policies will pay off. To do so, they want to present a comparison of the number of years it will take for the economy to double, depending on the growth rate. According to the rule of 70, determine the number of years it...
Consider an imaginary economy that has been growing at a rate of 3% per year. Government...
Consider an imaginary economy that has been growing at a rate of 3% per year. Government economists have proposed a number of policies to increase the growth rate but first need to convince the president that the policies will pay off. To do so, they want to present a comparison of the number of years it will take for the economy to double, depending on the growth rate. Using the rule of 70, determine the number of years it will...
a) You have an exponentially-growing population of rodents, with an annual λ of 1.35. Calculate the...
a) You have an exponentially-growing population of rodents, with an annual λ of 1.35. Calculate the number of individuals added to the population in a given month when there are 250, 500, 1000, 5000, or 10,000 individuals to start with. (2pts) b) Now impose density dependence on the population with a logistic model in which K = 6500 individuals. Again, calculate the number of individuals added to the population in a given month when there are 250, 500, 1000, 5000,...
a) You have an exponentially-growing population of rodents, with an annual λ of 1.35. Calculate the...
a) You have an exponentially-growing population of rodents, with an annual λ of 1.35. Calculate the number of individuals added to the population in a given month when there are 250, 500, 1000, 5000, or 10,000 individuals to start with. (2pts) b) Now impose density dependence on the population with a logistic model in which K = 6500 individuals. Again, calculate the number of individuals added to the population in a given month when there are 250, 500, 1000, 5000,...
Consider a closed economy in which the population grows at the rate of 1% per year....
Consider a closed economy in which the population grows at the rate of 1% per year. The per-worker production function is y = 6 * ((K)^0.5), where y is output per worker and k is capital per worker. The depreciation rate of capital d is 14% per year. a. Households consume 90% of income and save the remaining 10% of income. There is no government. What are the steady-state values of capital per worker, output per worker, consumption per worker,...
1.The population of India in the year 2000 was 1 billion and it increased exponentially at...
1.The population of India in the year 2000 was 1 billion and it increased exponentially at a rate of 1.6% per year. If the growth rate is maintained, what will be the population in the year 2020? If the growth rate is decreased to 1.2% per year from 2020 onwards and is maintained at that level, what will be the population in the year 2050? Assuming the average human exhales 2.3 pounds of carbon dioxide on an average day, what...
If the money supply is growing at a rate of 3 percent per​ year, real GDP​...
If the money supply is growing at a rate of 3 percent per​ year, real GDP​ (real output) is growing at a rate of 0 percent per​ year, and velocity is growing at 3 percent per year instead of remaining​ constant, what will the inflation rate​ be?
Calculate the present value of a growing annuity at a discount rate of 9% per year....
Calculate the present value of a growing annuity at a discount rate of 9% per year. The growth rate (constant) of the annuity is 4% per year. the life of the annuity is 10 years. the first annuity payment is $2000 occurring at the end of year one. Calculate using Excel please.
Suppose V is constant, M is growing 5% per year, Y is growing 2% per year,...
Suppose V is constant, M is growing 5% per year, Y is growing 2% per year, and r = 4. a. Solve for i. b. If the Central bank increases the money growth rate by 2 percentage points per year, find Δi. c. Suppose the growth rate of Y falls to 1% per year. - What will happen to π ? - What must the Fed do if it wishes to π constant?
Which forest’s population is growing at a faster rate? For the following exercises, consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 115(1.025)t..
For the following exercises, consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 115(1.025)t. In a neighboring forest, the population of the same type of tree is represented by the function B(t) = 82(1.029)t. (Round answers to the nearest whole number.)Which forest’s population is growing at a faster rate?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT