The population of rats, R(t), in a small town's sewage system t years after the beginning...

The population of rats, R(t), in a small town's sewage system t years after the beginning of the year 2000 is given by R(t)=5500e^0.049t. Find the AVERAGE population of rats in the system from the beginning ROUND YOUR FINAL ANSWER TO THE NEAREST RAT of the year 2004 to the beginning of the year 2010.

The average popualtion was about ____ rats

Expert Solution

milcah answered 2 years ago

Given is a population of wolves (W) and rabbits (R). R[t+1] = R[t]+ gR[t] (1...

Given is a population of wolves (W) and rabbits (R). R[t+1] = R[t]+ g*R[t] * (1 – R[t]/K) - sR[t]W[t] W[t+1] = (1-u)W[t] + vR[t]W[t] Where the carrying capacity of rabbits is 1 million. The growth rate of rabbits is 10% a year and s is equal to 0.00001, v is 0.0000001, and u is equal to 0.01. How many wolves and how many rabbits exist in the equilibrium?

The tortoise population, P, in a square mile of the Mojave Desert after t years can...

The tortoise population, P, in a square mile of the Mojave Desert after t years can beapproximated by 3,000P = --------------------. 20 + 130e-0.214t a. Find the initial tortoise population. ____________ b. Find dP/dt, the rate of change in the tortoise population. ____________ c. Find the rate of change in the tortoise population after 15 years. ____________ d. What is the limiting value of the tortoise population in a square mile of the Mojave Desert? ____________

Related T-Test Sample 1. A researcher is interested in testing whether rats learned a maze after...

Related T-Test Sample 1. A researcher is interested in testing whether rats learned a maze after daily training sessions. The researcher recorded the number of errors committed by each rat before any training in the maze. Then, the researcher recorded the number of errors made by each rat after training. The scores below summarize the errors by each rat before and after training. Perform a dependent-sample (repeated-measures) t-test on the scores to test whether or not the number of errors...

To the nearest whole number, what will the fish population be after 2 years? use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation P(t) = 1000/(1 + 9e-0.6t)

For the following exercises, use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation P(t) = 1000/(1 + 9e-0.6t)To the nearest whole number, what will the fish population be after 2 years?

The balance in an investment account years t after the account is opened is given by...

The balance in an investment account years t after the account is opened is given by 7500(1.065t). Compute the average rate of change for 2.5 ≤ t ≤ 3.5. (Round your answer to two decimal places.) Δ balance/ Δt=?

Which of the following statements is not true for tax years beginning after 2017? a. Affiliated...

Which of the following statements is not true for tax years beginning after 2017? a. Affiliated corporations that file consolidated returns can take 100% dividends received deduction. b. The dividends received deduction for a small investment in an unrelated corporation is 50%. c. The dividends received deduction for a large investment in a corporation is 65%. d. There is no income limitation on the dividends received deduction.

Question A project management consultant estimated that if a particular project was completed, t years after ...

Question A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N (t) = t3/3 -4.5t2 + 16t, 0 ≤ t ≤10 For what value of t, will the largest number of people receive direct benefits? A clothing manufacturer makes trousers, skirts and blouses. Each trousers requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time....

The number of U.S. cell phone subscribers (in millions) t years after 1989 is approximated by...

The number of U.S. cell phone subscribers (in millions) t years after 1989 is approximated by N(t) = 0.63t2 + 1.02t + 2.7 (0 ≤ t ≤ 20) What does your result tell you about the number of phone subscribers during the period under consideration? What are the relative extremas?

Find the periodic payment R required to amortize a loan of P dollars over t years...

Find the periodic payment R required to amortize a loan of P dollars over t years with interest charged at the rate of r%/year compounded m times a year. (Round your answer to the nearest cent.) a. P = 50,000, r = 4, t = 15, m = 4 b. P = 90,000, r = 3.5, t = 17, m = 12' c. P = 120,000, r = 5.5, t = 29, m = 4

Discuss some of the innovations made in America to the jury system during the years after...

Discuss some of the innovations made in America to the jury system during the years after independence. What factors contributed to the changing roles, duties, and uses of juries in the legal system? What variations existed between states?

Question