The population of a certain country has grown at a rate proportional to the number of people in the country. At present, the country has 80 million inhabitants. Ten years ago it had 70 million. Assuming that this trend continues, find an expression for the approximate number of people living in the country at any time t (taking t=0 to be the present time).

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A:

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A:

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A: Decay of amount of carbon 14 is given by y(t) = yo e-0.0001216 t where yo is the amount of carbon 14…

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

A: Here, initial mass =50 mg rate is proportional to the amount.m=50e-0.053t dmdtαm

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

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A:

Q: The rate growth of a population is proportional to the present population. If it is 1000 initially…

A: This question is related to the population growth, We will solve it using integration.

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A: We will use the given decay function and initial conditions to find the require time

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A: Explained below

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A: Please see the answer in step 2

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: As population is proportional to present population. So we need to form a differential equation. and…

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

A: Solve by making differential equation

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A: Here we solve the given population growth problem.

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A: Given that kinetic energy K for an object of mass m and velocity V is given by K=(1/2)mv2. If mass…

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Q: In a certain culture of bacteria, the rate of increase is proportional to the number present. (a) If…

A: Model the given problem dpdt=kp if p is the present number of bacteria integrate it on both sides…

Q: Suppose that electricity isdraining from a capacitor at a rate that is proportional to the voltageV…

A: Given equation in the question is: Integrating both sides: We have, at t = t0, V  = V0 =>ln(V0)…

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A: This is application of derivative so take the derivative and than put the value of time t.

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A: We use differentiation and integrations to solve this problem.

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Q: Assume that in a certain country, the rate at which jobs are created is proportional to the number…

A: Explanation: Suppose that number of jobs  = N Here given that, the rate at which jobs are created is…

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A: Given: y=y0e-0.0001216t

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Q: In a certain culture of bacteria, the rate of increase is proportional to the number present. (a) If…

A: In a certain culture of bacteria, the rate of increase is proportional to the number present. We…

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A: Given:- It is known that the population of a certain country at time t is proportional to the people…

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A: Solve the following

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A: given: The population of Barangay Siksikan is increasing at a rate of proportional to its current…

Q: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

A: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

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Q: The Population of Barangay Siksikan is increasing at a rate proportional to its current population.…

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A: Answer

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A: image is attched

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Q: if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer…

A: The rate of growth of the population of deer in a forest is modeled by R(t)= 2000e(0.23t) deer per…