A mold grows at a rate proportional to its present size. If the original amount doubles in one day, what proportion of the original amount will be present in five days?

Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Given : S=the amount of radium you start with=250gm t=the amount of time in years=950 years  h=the…

Q: A population of rabbits grew from 10 to 3000 in 24 months. Determine the doubling rate.

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Q: 4. If the population of a country doubles in 50 years, in how many years will it triple under the…

A: Solve the given for the timing of triple population

Q: The rate at which bacteria multiply is proportional to the instantanous N numbers present. If the…

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

A: given,     radioactive material is decay at a rate proportional to the amount present .initially 50…

Q: A tank contains 300 gal of water and 100 gal of pollutants. Fresh water is pumped into the tank at…

A: Fresh water is pumped into the tank at the rate of 2 gal/min, and the well stirred mixtureleaves at…

Q: The surface area of kelp near Monterrey Bay is 40,000 square acres, but after four years a red sea…

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Q: There are currently 100 cells in a culture and it grows at a rate proportional to its size. After…

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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 population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

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

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Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Simple rate of decay of radium problem....

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: In the absence of predators the population of mosquitos in a certain area would inccrease at a rate…

A: Let P(t) be the population of mosquitoes in the area with t in weeks, and k be the rate at whichthey…

Q: The population of a certain municipality increases at the rate proportional to the present…

A: Here we solve the given population growth problem.

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: 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 city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

Q: 4. In a culture of yeast, the amount of active ferment grows at a rate proportional to the amount…

A: Let's work on the problem straight from the statement "the amount doubles in 1 hour": let the…

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

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Q: An isotope of cesium has a half life of 29 years. If 1300 grams of cesium disintegrates over a…

A:

Q: A yeast grows at a rate proportional to its present size. If the original amount doubles in two…

A: Let v(t) be size of yeast at t time Therefore, ds/dt  ∝ s(t) ds/dt  = ks   [k is proportionality…

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

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Q: A bacteria decreases at a rate of 15% continuously when exposed to ultraviolent light. If a culture…

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

A:

Q: 2. In a certain culture of bacteria, the rate of increase is proportional to the number present. If…

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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…

Q: A radioactive substance has a decay rate of 4% per hour. If 1000 grams of the substance are present…

A: It is given that,a radioactive substance has a decay rate of 4% per hour. If 1000 grams of the…

Q: A population of yeast cells can double in 6 hours. Assume an initial population of 4,000 cells. What…

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Q: If the tank is completely full, how much is overflowing if 530 GPM is being taken off the bott

A: Given: Let the rate of filling be Qin = 1250 GPM  the rate of draining be Qdrain = 530 GPM Because…

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

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

A: Solution

Q: A certain population of bacteria doubled after 20 minutes. If it is known that it grows proportional…

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

A:

Q: A bunch of hooligans dump 164 pounds of  pizza boxes into a lake. If the pizza boxes dissipates at a…

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Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

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

A:

Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A:

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

A:

Q: The number of germs in a certain culture increases at a rate proportionai to the number present. If…

A: Given that, the number of germs in a certain culture increases at a rate proportional to the number…

Q: In a chemical reaction, a certain compound changes into another compound at a rate proportional to…

A: Let y be the unconverted amount of substance A at time t. Thus, the given information can be written…

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. If half of the original amount…

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Q: The number of germs in a certain culture increases at a rate proportional to the number present. If…

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Q: If the area of a circle decreases constantly by half a square foot per second, at what rate is its…

A: Here, given that the area of the circle decreases constantly by half s square foot per second. That…

Q: The half-life of plutonium 239 is 24,200 years. Assume that the decay rate is proportional to the…

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Q: 1. After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is…

A: