1. The population of a town grows at the rate proportional to population present at any time t. The initial population of 500 increases by 15% in 10 years. What will be the population in 30 years?

Q: 2-The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at…

A: image is attached

Q: 2. A certain radioactive material is known to decay at a rate proportional to the amount  present.…

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Q: The population of a certain community is known to increase at a rate proportional to the number of…

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Q: A bacterial population B is known to have a growth rate proportional to B itself. If between 3pm and…

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Q: A bacterial population B is known to have a growth rate proportional to B itself. If between 3pm and…

A: we know that population growth formula A(t)=P0ekt where A(t) : population at time t P0 : initial…

Q: 3. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

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Q: 4. It is estimated that x months from now, the population of a certain town will be changing at a…

A: First we will integrate p'(x) to find the function p(x) and then we will find the population 27 from…

Q: 2. The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: A(t) = amount remaining in t years          = A0ekt, where A0 is the initial amount and k is a…

Q: 4. Determine the growth constant, k, of a population that is growing at a rate proportional to its…

A: let p=population at time t so we can write  to remove the proportionality sign we need to multiply…

Q: (a) In a chemical reaction, a certain compound changes into another compound at a rate pro-…

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Q: It is known that the population of a certain country at time t is proportional to the people living…

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Q: at a rate proportional to the current population, and in the absence of other factors, the…

A: Consider at time t the population of mosquitoes is N in the area

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: 3. A mixture is transferred into a cylindrical container through a conical filter. If the filter is…

A: The volume of a cone: V=13πr2h Where, r  is the radius of the cone. h is the vertical height of the…

Q: 2. The population of a certain state is known to grow at a rate proportional to the number of people…

A: 2) Given:         Rate of increase of the population of the state is proportional to the number of…

Q: 2. The population of a town grows at a rate proportional to the population present at time t. The…

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Q: 3. A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an…

A: 3. Rate of creation of radioactive substance is 1 g/hr The mass of substance at time t is q(t) gm…

Q: A large corporation starts at time t= 0 to invest part of its receipts continuously at a rate of P…

A: We have to find function

Q: 1. The number of a certain type of bacteria increases continuously at a rate proportional to the…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: If population y grows at a rate proportional to the current population, then y could be

A: This make separable differential equation

Q: 4. The population of Florida (in millions) in recent years can be approximated by p(x)%3=…

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Q: 1. The population of a town grows at a rate proportional to the population present at time t. The…

A:

Q: 2. The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at…

A:

Q: A bacterial population B is known to have a rate of growth proportional to B itself. If between noon…

A: We will use the exponential growth equation of bacteria .

Q: 3. The population of a certain country is known to increase at a rate proportional to the number of…

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Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

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Q: 1.The population of the Philippines has doubled in the last 50 years.The population of the…

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Q: Suppose k and / grow at constant rates given, respectively, by g, and g,. What is the growth rate of…

A: suppose k and l grow at constant rates given , respectively by gk and gl claim- to find the growth…

Q: 5. The population of a community is known to increase at a rate proportional to the number of people…

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Q: 2. Radium decomposes in air at the rate proportional to the amount present. It is found out that in…

A: Let's find.

Q: 1. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 4. The population of a trading area is currently 100 thousand. At time t years from now population…

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Q: 5) A cup of coffee cools at rate proportional to the difference between the constant room…

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Q: A radioactive element decays according to the function Q= Q, e", where Qo is the amount of the…

A: This question is based on exponential decay.

Q: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find…

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is…

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

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

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Q: A bacterial population B is known to have a rate of growth proportional to B itself. If between noon…

A: Solved below

Q: A particular specie of animal has a carrying capacity of K and a growth rate of r. From an  initial…

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Q: 1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

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Q: Two substances, A and B, are being converted into a single compound C. In the laboratory it has been…

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Q: Suppose it is known that the population of the community in Problem 1 is 10,000 after 3 years. What…

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Q: A certain population of rabbits grows proportionally to its size. If initially there are 1000…

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Q: (4) Consider the constant rate of decrease of a certain microorganism. At the start, there are…

A: We have to find the number of microorganisms that will be there after 45 seconds.

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: 3. The rate of growth of an investment is proportional to the amount of the investment at any time…

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Q: 4. Calculate the average annual rate of increase in a population with 3.0 billion people (in year…

A: Given Information -  Population in year 1 = 3.0 billion Population in year 2 = 3.036 billion We have…

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

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Q: 3. A bowl of soup has an initial temperature of 60 degrees Celsius. The temperature decreases by 6%…

A: Initial temperature= 60 degrees temperature decreases by rate 6% each minute