A=A0e^kt 2004 population (millions) Projected 2017 population (millions) Projected Growth rate K 45.8 67.5

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

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Q: What exponential function will pass through both (0,6) and (1,3)?

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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: The population of a pigeons in a city is 230 and is growing exponentially at 18% per year. Write a…

A: Given that: Initial population=a= 230  Growth rate = 18% = 0.18 So growth factor =b= 1+0.18 =1.18…

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4379 per…

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Q: 6. The number of tree frogs on an island is growing at a rate proportional to the population. The…

A: topic - exponential function

Q: The population of a pigeons in a city is 150 and is growing exponentially at 10% per year. Write a…

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Q: What is the Applications and importance of calculus for biotechnology the exponentional growth curve…

A: To write the applications and importance of calculus for biotechnology the exponential growth curve…

Q: A population of the yeast cell Saccharomyces cerevisiae (a yeast used for fermentation) developswith…

A: The growth rate formula is  P(t)=P(0)ekt where P(t) is the population at time t, P(0) is the initial…

Q: Use the model to predict instantaneous rate of change of the percentage of female high school…

A: We have to predict instantaneous rate.

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

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Q: A population of animals starts at 484, 000 and grows continuously at 9.00% per year. Find the…

A: Given , Initial population P=484,000 rate r =9% time t=17 year

Q: A student is 19 years old and the world has a population of 6.6 billion. Assuming that the…

A: Given Present population (P) = 6.6 Rate (R) = 0.6% Time  (n) = 72-19= 53

Q: Total reserves for a non renewable resource at 250 million tones.annual  consumption, currently at…

A: We have total non renewable resources=250 million tonesfirst year consumption is 20 millionsecond…

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

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Q: Personal care aide is an occupation that is growing quickly. Assume​ that, in a certain​ region,…

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Given:

Q: The rate of a continuous money flow starts at ​$600 and increases exponentially at 4% per year for…

A: Given, Initial amount P0 = $600 R = 4% = 0.04 T = 15 years

Q: A wolf population is growing at a rate of 9.3% per year. Find the time at which the wolf population…

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Q: Assume that Canada has a population of 34 million. Every year about 300,000 people immigrate to…

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Q: The chief financial officer of a company reports that profits for the past fiscal year were $15.9…

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Q: Suppose 225 trout are seeded into a lake. Absent constraint, their population will grow by 60% a…

A: Since the growth rate is given in terms of percentage for first of all we will convert into decimal…

Q: Personal care aide is an occupation that is growing quickly. Assume​ that, in a certain​ region,…

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Q: The 1980 population of the United States was approximately 231 million, and the population has been…

A: Given,United States population in 1980, P = 231 million = 231,000,000

Q: According to the National Statistics Office report, The Philippines has a total population of…

A: The Malthusian Model is given by  Pt=P0ert Where P0=P0 is the initial population size. r: Population…

Q: Among various populations of plants or animals, diseases spread exponentially. Use the function…

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Topic-basic maths

Q: The population of Japan is decreasing at a rate of about .26% per year. Construct an exponential…

A: Let, The initial population of Japan at t=0 = Po Rate of decreasing = 0.26%

Q: A radioactive substance used in nuclear weapons decays at the rate of 3.2% per year. Calculate the…

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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: The population of a pigeons in a city is 6200 and is growing exponentially at 17% per year. Write a…

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Q: Explain a general mathematical modeling to growth of Human population. And what will be the Iraq…

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Q: An exponential equation is a nonlinear regressio

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4393 per…

A: Population Growth of yeast cell: P(t)= Poeλt

Q: Radium decomposes at a rate proportional to the amount present. If half the original amount…

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Q: The number of users on a website is 490 and is growing exponentially at a rate of 65% per year.…

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Exponential growth ( Formula): P=P0ert         ...(1) Where  P = Total population after time t. P0 =…

Q: In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the…

A: Mass of radioactive sample at the beginning of 10th day is : 74.3 gram.

Q: Carbon-14 has a half-life of approximately 6700 years. Scientists have determined that 73% of the…

A: We know that, N(t)= N(0)*(1/2)(t/t1/2) where, N(t) = quantity of the substance remaining N(0) =…

Q: What value of the smoothing constant would make an exponential smoothing forecast the most reactive…

A: We know the smoothing exponential formula Ft+1=Ft+αDt-Ft where, α=smoothing constant Ft+1=forecast…

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4493 per…

A: To find the population size

Q: In a laboratory experiment, the population of bacteria in a petri dish started off at 160 and is…

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Q: A material has an initial of 15 units. Which equation models the amount of the material y, decaying…

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Q: 3. There are currently 300 bacteria in a petri dish. There will be 2052 bacteria in 33 minutes. What…

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Q: Personal care aide is an occupation that is growing quickly. Assume​ that, in a certain​ region,…

A: The number of personal care aids in 2024 is 195,686, which is a growth of 29% over 2014.Denote y as…

Q: A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per…

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Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: given growth factor= 2 initial time 1983 people died in 1983 = 1700 people

Q: Personal care aide is an occupation that is growing quickly. Assume​ that, in a certain​ region,…

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Q: The population of a pigeons in a city is 160 and is growing exponentially at 11% per year. Write a…

A: Consider f(t) represents the numbers of pigeons at time t (in years).Given:The initial population of…

Q: The number of days that elapse between the beginning of the calendar year and the moment a high-risk…

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