Find a logistic function that satisfies the given conditions: initial value = 9, limit to growth = 27, passing through (2, 5) %3D

Q: Suppose $15000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Suppose $15000 is invested at 7% interest compounded continuously. How long will it take for the…

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Q: Find a logistic function that satisfies the given conditions: y = 33 20 (0, 11) -20 (-2, 1) 20 40 2

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Continuous growth model is  P = P0.ert where P0 = initial population and.    P = final population…

Q: During the start of the COVID-19 pandemic it is assumed that the rate of spread of the corona virus…

A: Aim: To calculate the corona-infected people after 30 days using simple logistic growth model. Given…

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

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Q: Suppose 30 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: We have the following data : Initial number of plants = 30 Spreading rate = 80% a month Carrying…

Q: How many years will it take for an initial investment of $30,000 to grow to $75,000? Assume a rate…

A: An initial investment (P) compounded continuously with a rate of interest (r) in time (t) will grow…

Q: he number of bacteria in a certain population increases according to a continuous exponential growth…

A: Let the initial value of bacteria= N0the no. of bacteria after time t is N(t)Then by continous…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: The general form of a continuous exponential growth model is given as: P=P0ekt…

Q: During the start of the COVID 19 pandemic it is assumed that the rate of spread of the corona virus…

A: Given that, the growth rate for the spread of corona virus is 18%. The number of the persons…

Q: The half-life of the radioactive element tritium is 12 years. Find its decay constant.

A: We have, the half-life of the radioactive element tritium is 12 years. As we know that, The time in…

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: Given,initial kangaroo number, n(0) = 200number of kangaroo after 3 years, n(3) =500carrying…

Q: Suppose a population grows according to a logistic model with initial population 500 and carrying…

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Q: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in 1980…

A: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in…

Q: Suppose that a population grows according to a logistic model with carrying capacity 6500 and k =…

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Q: The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019…

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Q: Determine the growth constant, k, of a population that is growing at a rate proportional to its…

A: Given,

Q: f) The population of a town grows at the rate of 3% per year (compounded continuously). How long…

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Q: The growth in the number​ (in millions) of Internet users in a certain country between 1990 and 2015…

A: The logistic function is given as, , where G0=initial number m= maximum possible number t=time…

Q: Suppose that a particular pond can sustain up to 30,000 tilapia and that the undisturbed population…

A: The logistic model is given as: dP/dt = 4(1 - P/30000)P When P = 15000, we get, dP/dt = 4(1 -…

Q: Suppose the rate of net investment is given by I (t) = Lnt, find the total capital accumulation…

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Q: When a breeding group of animals is introduced into a restricted area such as a wildlife reserve,…

A: The number N of deer present at time (t) is given by Nt=12.350.01+0.54t    .....1

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: The logistic growth equation here is: P(t)=P0e0.7050t Where, P is the number of students inflected…

Q: A continuous income stream has an annual rate of flow at time t given: f(t)=9000e^(0.12t)…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: In this question we have to find how many hours does it take for the size of the sample to double.

Q: Solve for when the population increases the fastest in the threshold logistic equation : 1000 P'(t)…

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Q: Find the present value Po of each amount P due t years in the future and invested at interest rate…

A: Given: The amount P= $100,000 The time is t= 6 years. The rate of interest is k=3%

Q: A radioactive element decays according to the function y=yoe^-0.0388t, where t is time in years.  If…

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Q: Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Here we have to use the logistic growth model. I have appended the formula used in the solution part…

Q: Find the amount that results from the given investment. $10 invested at 9% compounded continuously…

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Q: During the start of COVID-19 pandemic it is assumed that rate of spread of the corona virus is 18%…

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Q: city of half a million, there are initially 400 cases of a particularly virulent strain of flu. The…

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Q: Imagine an economy without population growth and without technological progress. Suppose that the…

A: Here k = K/L = 30/25 = 1.2 y = k^1/2 i.e (1.2)^1/2 = 1.09 Y = y*L = 1.09*25 = 27.25 MPK is change in…

Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: detailed solution is given below

Q: Sunset Lake is stocked with 2000 rainbow trout, and after 1 year the population has grown to 4500.…

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Q: The population of a small island is growing continuously at the rate 2% per year. Estimate to the…

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Q: ive the logistic function modeling initial value = 6,   limit to growth = 20  and passing through…

A: Given, Initial value=6 Limit to growth=20 And passing through the point is (3,15) We know that the…

Q: Suppose a population grows according to a logistic model with initial population 200 and carrying…

A: The logistic differential equation is dPdt=kP1-PL, where L is the carrying capacity. The solution of…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Doubling time is the amount of time it takes for a value or quantity to double in size whenever the…

Q: A rumor is spreading on an island with a population of 50,000 individuals. When the rumor starts to…

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Q: When a breeding group of animals is introduced into a restricted area such as a wildlife reserve,…

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Q: A car washing machine is expected to generate $40,000 in revenue per year, for the next 5 years. If…

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Q: A certain vehicle loses 35% of its value each year if the vehicle has an initial value of $25,000…

A: Given a  certain vehicle loses 35% of its value each year if the vehicle has an initial value of…

Q: A certain breed of rabbit was introduced onto a small island about 15 years ago. The current rabbit…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

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Q: 6. Find dthe time required for an investment of $10,000 to grow to $18,000 at an annual interest…

A: 6) Given: P=$10,000, A=$18,000 and r=6%=0.06. The Compound Interest Formula is given by,  A=P1+rnnt…

Q: When a breeding group of animals is introduced into a restricted area such as a wildlife reserve,…

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Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

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Q: Find the effective annual yield and the continuous growth rate if the value of a deposit is given by…

A: The deposit is given by