The population of a certain municipality increases at the rate proportional to the present population. In 100 years, the population reached 120,000 If the present population is 90,000, how long will it take for the population to reach 160,000?

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A: Given date  Initial population Po=1200 in the year 2000 (t=0) Rate of increase is a steady =50…

Q: A radioactive substance decays at a rate proportional to the amount present, and half the original…

A: given radioactive substance that its half life is 1500 years. we have to find time after which the…

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Q: If the population of the earth was found to be 3.5 billion in 1970, and Is Increasing at a rate of…

A: The population of the earth was 3.5 billion in 1970,  We are to find at what year population of…

Q: 2. In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Solution is given below:

Q: The population of the city of Bingville increases at a rate proportional to the numbers of its…

A: Let x0 is the number of inhabitants of Bingville at time t = 0 and x is the number of…

Q: A radioactive substance has a half-life of 64 hours. If 200 grams of the substance are initially…

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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.

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A: Solution

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

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

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Q: Initially 100 milligrams of a radioactive substance were present. After 6 hours the mass had…

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Q: A population of 320 bacteria grows continuously at a rate of 4.2% each day. How many bacteria will…

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Q: 3. Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Given: initial mass of Radium  y0=96 mgWe know that General decay equation is y=y0e-kt…

Q: The population of an island grows at a rate proportional to its population. If the growth rate is 5%…

A:

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: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There…

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

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

A: Given that 10 years the population has trembled and for  20years the population is 150000. p(t)…

Q: A certain radioactive material loses mass at a rate proportional to the mass present. If the…

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Q: A storage battery discharge at a rate which is proportional to the charge. If the charge is reduced…

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Q: In a city with 500,000 population, the rate of the spread of a new flu epidemic is proportional to…

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Q: For a period of time, an island's population grows at a rate proportional to its population. If the…

A: The general growth formula is given by,

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

A: The general solution of a differential equation always contains a constant of integration. The…

Q: A storage battery discharge at a rate which is proportional to the charge. If the charger is reduced…

A: Solve by making equation

Q: Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there…

A: This question is based on application of diffrential equation.

Q: The substance decomposed at a rate proportional to the amount resent. What is the half-life of the…

A:

Q: In a certain bacteria culture the rate of increase in a number of bacteria is proportional to the…

A: Follow the steps below to solve a differential equation(in terms of x and y) by the variable…

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

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Q: Radium decomposes at a rate proportional to its present radioactive. In 100 years, 100 units of…

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Q: The population of one state increases at a rate numerically equal to the cube root of the…

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Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

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Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

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Q: The number of children in a church is increasing at a rate that is proportional to the number of…

A: We will find the number of children after 5 years as following.

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

A:

Q: A certain population of bacteria is known to grow at a rate proportional to the amount present in a…

A: Solve for bacteria after 20 hrs

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

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

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

A: ⁎ Given:        The population of Barangay Siksikan i.e, increasing     at a rate proportional to…

Q: The growth rate of a certain strain of bacteria is unknown, but assumed to be constant. When an…

A: Given that the bacteria is growing at a constant rate. Initially there were 1500 bacteria and after…

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A:

Q: A radioactive substance has a half-life of 25 years. If 640 grams of the substance are present…

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Q: The population of an endangered species decreases at a rate of 7% per year. Approximately how long…

A: Answer

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had…

A:

Q: A certain population of bacteria grows at a rate that is proportional to the number present. It is…

A: Given that: Growth rate of bacteria ∝ Number of bacteria presentNumber doubles in 2 hr

Q: Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Initial radium quantity Ni = 100 mg after t = 100 years N = 96 mg

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

A: