The population of a certain species of bird in a region after t years can be...
The population of a certain species of bird in a region
after t years can be modeled by the function 
, where t ≥ 0.
What is the maximum population of the species in the region?
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The population of a certain species of bird in a region
after t years can be...
A species of fish was added to a lake. The population size P(t) of this species...
A species of fish was added to a lake. The population size P(t) of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t)= 1200 -0.42t 1+ 3e Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary. Initial population size: fish Population size after 9 years: fish...
A small lake is stocked with a certain species of fish. The fish population is modeled...
A small lake is stocked with a certain species of fish. The fish population is modeled by the function P = 12 1 + 4e−0.4t where P is the number of fish in thousands and t is measured in years since the lake was stocked. (a) Find the fish population after 4 years. (Round your answer to the nearest whole fish.) fish (b) After how many years will the fish population reach 6000 fish? (Round your answer to two decimal...
A small take is stocked with a certain species of fish. The fish population is modeled...
A small take is stocked with a certain species of fish. The fish population is modeled by the function P- 14 1+ 4e -0.80 where P is the number of fish in thousands and t is measured in years since the lake was stocked. (6) Find the fish population after 3 years. (Round your answer to the nearest whole fish) fish (1) After how many years will the fish population reach 7000 fish? (Round your answer to two decimal places.)...
of this species can be modeled by the following function, where is the number of years...
of this species can be modeled by the following function, where is the number of years A species of fish was added to a lake. The population size P time the species was added to the lake. 2000 PC- 1+7-021 Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary Initial population size: fish Population size after 9 years: fish x 5 ? Let o...
A species of animal is discovered on an island. Suppose that the population size P(1) of...
A species of animal is discovered on an island. Suppose that the population size P(1) of the species can be modeled by the following function, where timer is measured in years. 280 -0.29 1+6e Find the initial population size of the species and the population size after 8 years. Round your answers to the nearest whole number as necessary. Initial population size: individuals Population size after 8 years: individuals X ? Save For Later SA 18 AW
Suppose that the population of a species of fish (in thousands) is modeled by f(?) =...
Suppose that the population of a species of fish (in thousands) is modeled by f(?) = x+10/0.5x2+1, where x ≥ 0 is in years. a. Sketch a graph of the function on the interval [0,12] x [0,12]. Label and scale your axes. b. What is the horizontal asymptote? c. What is the significance of the horizontal asymptote? d. What is the initial population of fish? e. What is the population of fish after 5 years? f. When is the population...
This exercise uses the population growth model. The fox population in a certain region has a...
This exercise uses the population growth model. The fox population in a certain region has a relative growth rate of 5% per year. It is estimated that the population in 2013 was 16,000. (a) Find a function n(t) = n0ert that models the population t years after 2013. n(t) = (b) Use the function from part (a) to estimate the fox population in the year 2020. (Round your answer to the nearest whole number.) (c) After how many years will...
2. Continuous compound interest can be calculated using the formula A(t) = Perl, where P is...
2. Continuous compound interest can be calculated using the formula A(t) = Perl, where P is the initial amount and At) is the value after time t at interest rater (as a decimal). (a) When Angela was born, her grandparents deposited $5,000 into a college savings account paying 6% interest compounded continuously. What is the balance after 15 years? Round your answer to two decimal places. (b) If her grandparents want her to have $15,000 after 17 years, how much...
(1 point) The fox population in a certain region has a relative growth rate of 8...
(1 point) The fox population in a certain region has a relative growth rate of 8 percent per year. It is estimated that the population in the year 2000 was 9900. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is the answer must be an integer)
The fox population in a certain region has a continuous growth rate of 9 percent per...
The fox population in a certain region has a continuous growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 8300. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = (b) Use the function from part(a) to estimate the fox population in the year 2008. Your answer is the answer must...
A species of fish was added to a lake. The population size P(t) of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t)= 1200 -0.42t 1+ 3e Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary. Initial population size: fish Population size after 9 years: fish...
A small take is stocked with a certain species of fish. The fish population is modeled by the function P- 14 1+ 4e -0.80 where P is the number of fish in thousands and t is measured in years since the lake was stocked. (6) Find the fish population after 3 years. (Round your answer to the nearest whole fish) fish (1) After how many years will the fish population reach 7000 fish? (Round your answer to two decimal places.)...
of this species can be modeled by the following function, where is the number of years A species of fish was added to a lake. The population size P time the species was added to the lake. 2000 PC- 1+7-021 Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary Initial population size: fish Population size after 9 years: fish x 5 ? Let o...
A species of animal is discovered on an island. Suppose that the population size P(1) of the species can be modeled by the following function, where timer is measured in years. 280 -0.29 1+6e Find the initial population size of the species and the population size after 8 years. Round your answers to the nearest whole number as necessary. Initial population size: individuals Population size after 8 years: individuals X ? Save For Later SA 18 AW
2. Continuous compound interest can be calculated using the formula A(t) = Perl, where P is the initial amount and At) is the value after time t at interest rater (as a decimal). (a) When Angela was born, her grandparents deposited $5,000 into a college savings account paying 6% interest compounded continuously. What is the balance after 15 years? Round your answer to two decimal places. (b) If her grandparents want her to have $15,000 after 17 years, how much...
(1 point) The fox population in a certain region has a relative growth rate of 8 percent per year. It is estimated that the population in the year 2000 was 9900. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is the answer must be an integer)
The fox population in a certain region has a continuous growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 8300. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = (b) Use the function from part(a) to estimate the fox population in the year 2008. Your answer is the answer must...
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