8. A doctor and injects a patient with 13 milligrams of radioactive dye that decays exponentially. After 12 minutes, there are 4.75 milligrams of dye remaining in the patient's system. Which is an appropriate model for this situation? O f(t) = 13(0.0805)* %3D O f(t) = 13e0.9195t 475 O f(t) f(t) = %3D 1+138-0.83925t O f(t) = 13e-0.0839t

Q: Suppose in a certain region there are 4,000 bee hives that are threatened by African bees. Initially…

A: Given, N=K1+be-rt Where  the constant K represents carrying  capacity and b is, b=KN0-1 Then, the…

Q: A colony of aliens reaches planet Earth in 3000 BC and set up a base in Antarctica. If their initial…

A: Given: A colony of aliens reaches planet Earth in 3000 BC and set up a base in Antarctica. Their…

Q: na futuristic laboratory, a spider exposed to the Neogenic Recombina beam made it radioactive.…

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: Suppose that the growth-rate parameter k = 0.3 and the carrying capacity N = 2500 in the logistic…

A: Given that, The growth-rate parameter k = 0.3. The carrying capacity N = 2500. Suppose P(0) = 2500.…

Q: The half-life of caffeine in a healthy adult's bloodstream is 5.7 hours. Suppose Alex, a healthy…

A: For a exponential equation of the form, A=A'ekt, A' is initial value and k is growth rate.

Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

A:

Q: The model for continuous (exponential) growth/decay is given by y = cekt, where c is the initial…

A: c=$13,100  ,  t=12  &  k=-9%=-0.09   Negaitive sign represents the depreciation

Q: 3. If a substance y decays according to the equation = ky, where k is a constant and t is measured…

A:

Q: 17. The half-life of strontium-90 is 28 years. How long will it take a 50-mg sample to decay to a…

A:

Q: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

A: Solve for the mass after time 2.2 thousand years

Q: 4) The student population at a certain school here in Dagupan can be modeled by the logistic growth…

A: You must have idea about growth model to understand it better.

Q: 2.   (a) How long will it take for an investment of $6, 000 to grow to $7, 000 if the investment…

A:

Q: Write the solution of the logistic initial-value problem   dP/dt = 0.00008P(1000 - P)   P(0) = 100…

A: The logistic initial-value problem dPdt=0.00008P1000-P, P(0)=100. We have to find the population…

Q: Given a logistic growth function y 1 + ae the limiting value of y is - bt'

A: Given logistic growth function is

Q: For the exponential decay function =y300(0.9)x (a)What is the initial amount of the quantity…

A: Given y = 300(0.9)x initially x = 0 Therefore y (0) = 300(0.9)0 y(0) = 300x1 y(0) = 300

Q: A radioactive isotope decays at a rate proportional to the amount present at time t and has a…

A:

Q: Suppose a population of elk in a certain ecosystem is following a logistic growth model, where the…

A:

Q: Suppose the population of a city is modeled by the logistic equation dP dt P, 100 P(0) = 1 Use…

A: Given :

Q: It is estimated that t years from now, the population of a certain country will be P(t)=…

A:

Q: 3. Suppose that daily data was collected on a bacterial population and the following logistic model…

A:

Q: 3) Suppose that in a certain fish hatchery, the fish population is modeled by the logistic growth…

A: This is a problem related to exponential model function. Based on the general formula and concept we…

Q: (1) After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per…

A:

Q: At time t = 0, 650 bacteria are in a petri dish, and this amount triples every 13 days. How many…

A: Since you have posted multiple questions in this question i can do first question as per our company…

Q: Suppose that a healthy population of some species is growing in a limited environment and that the…

A: Given, M0 is initial carrying capacity P0 is initial population M1 is carrying capacity after…

Q: _8. This refers to the initial amount of the growing quantity in the equation where the amount of t…

A:

Q: 4. The lifetime (X) of an alkaline battery is exponentially distributed with A = 0.05 per hour. A…

A:

Q: A population of bacteria is undergoing logistic growth, with a maximum possible population of…

A: Initial population P0=5000 Maximum possible population, P=100,000 Rate of change of population,…

Q: 1. An organic compound decomposes at a rate proportional to the amount present. If the half of the…

A:

Q: Suppose a population grows according to a logistic model with initial population 1000 and carrying…

A: Since it is a logistic model and we are given Initial population 1000.  carrying capacity =10000.…

Q: 2. The population of the earth was 3 billion in 1970 and was increasing at a rate of 2% per year.…

A:

Q: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

A:

Q: The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the…

A: The expression of exponential model, Qt=Q0e-kt. The half-life of cobalt 60 is 5 years. at t = 5, the…

Q: 4- The gross domestic product (GDP) of a certain country was N(t) = t² + 5t + 106 billion dollars t…

A:

Q: Consider two populations that can be modeled by the logistic equation with the same carrying…

A: We are given two population modeled by logistic equations having same carrying capacity but…

Q: 4. A colony of bacteria is growing exponentially. At time t-2 it has l10 bacteria in it, and at time…

A:

Q: 8 26. Deer population Suppose the deer population P(t) in a small forest satisfies the logistic…

A: First we draw the slope field. Then the point (0,25) was located. Then theslope field was traced…

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

A: We will find out the required value.

Q: 1) Suppose that the population of rabbits on an island is growing exponentially, following P(t) =…

A: Given that population of rabbitspt=p0ekt  p0=250and at t=2 years p2=1200  1.…

Q: 1. The population of a certain barangay is increasing at a rate proportional to its current…

A:

Q: The population of Mathlandia in 1995 was 23,473 and was projected to grow at a rate of 12% per…

A:

Q: As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: Given A0=5000t=6 weeksA=7500 Find a and b parts

Q: A population of animals is growing exponentially, and an ecologist has made the following table of…

A:

Q: Show that the solution N of the exponential decay equation NP -kN and initial condition 1 dt N(0) =…

A: (As per the bartleby guidelines, for more than one question, only one will be solved, Please upload…

Q: 24. Suppose that the half-life of a certain radioactive substance is 5 days and there are 20g…

A: the radioactive decay is given by:…

Q: QUESTION 3 Janay wants to invest $12,000 in an account with an interest rate of 7,2% that is…

A: The formula for continuous compounding is derived from the formula for the future value of an…

Q: The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the…

A: The general exponential decay model for cobalt 60 is: Q(t)=Q0e-kt Where: Q(t) is the quantity of…

Q: A well has an initial rate of 550 STB/D and an initial decline rate, D0, of 0.02/month. Determine…

A:

Q: 1. A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After…

A: Here, A(t) is the amount of plutonium remaining at time t. So, we can create the I.V.P. dAdt=kA,…

Q: The exponential function f(x) = A · Bº crosses the y-axis at the point (0, 2100) and has a decay…

A:

Q: 17) Consider the exponential function f(x) = 9e0.043t. %3D Is the function growing or decaying? What…

A: Topic:- function