Initially 48 grams of radioactive substance was present. After 6 hours the mass had decreased by 10%. If the rate of decay is proportional to the amount of the substance present at a time t, find the amount remaining after 98 hours.

Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. b) Evaluate the…

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

Q: A radioactive substance is known to decay at a rate proportional to the amount present. In 2009…

A: Form a differential equation from the given problem to find solution.

Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth…

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

A: Given data:   The initial value of the mass is mi=50 milligrams. The mass lost after two hours is…

Q: Initially 87 grams of radioactive substance was present. After 3 hours the mass had decreased by 6%.…

A: From the rule of decay that is, the rate of decay is proportional to the amount of the substance…

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

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

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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: After 2250 years, 25% of a radioactive material remains. If the rate of decay of the material is…

A: Half-life = 0.693/Decay constant(lambda)

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

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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%…

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

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

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Q: The radioactive isotope lead has a half-life of 3.3 hours and decays at a rate proportionate to the…

A: This is a problem of differential equation and integration. Based on the given scenario first of all…

Q: nitially, there were 100 milligrams of a radioactive substance. After six hours, the mass decreased…

A: initially there are 100 milligrams of a radioactive substance. P=100 mg after 6 hour the mass…

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

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Q: Initially 50 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A: The rate of change of amount A with respect to time t can be denoted by dAdt. If x is directly…

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

A: Percentage : Percentage of the item is 100th part of the number.  It is denoted by x% or written as…

Q: A population of 1000 students are in a dormitory. If initially, a virus infected 25 of them. If the…

A: Let number of students infected at time t be x  Then, number of healthy students at time t = (1000 -…

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: In a chemical reaction a substance decomposes at a rate proportional to the amount of substance…

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

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

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Q: a car sells for $12,500 and one year later it is valued at $11,375. find the decay rate of the car

A: Explanation of the answer is as follows

Q: Initially 53 grams of radioactive substance was present. After 6 hours the mass had decreased by 6%.…

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

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Q: A certain radioactive substance has a half-life of 38 hours. Find how long it takes for 90% of the…

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

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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 millions of radioactive substance was present. After 6 hours the mass has decreased by…

A: Given query is to find the amount of radioactive substance after 24 hours.

Q: The half-life of plutonium-241 is approximately13 years.a. How much of a sample weighing 4 g will…

A: The half-life of plutonium-241 is 13 years. A(t)=A0e-k tA02=A0e-k×13…

Q: Consider 250g of iodine which decomposes at a rate proportional to the amount present. Around 150g…

A: According to the company guidelines only first three 3 subparts will be answered in case of multiple…

Q: Biologists stocked a lake with 600 fish and estimated the carrying capacity to be 7400. The number…

A: The form of the logistic equatIon is: y(t)=c1+aebt The carrying capacity is: 7400 Therefore c = 7400

Q: In one experimental study, the growth of a certain insects is increasing at a rate proportional to…

A: Given: The growth of insects is increasing at a rate proportional to the number present. To Find:…

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

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Q: A radioactive substance has a half-life of 4 hours. How much of it is left after 12 hours?

A: Since, a radioactive substance has a half-life of 4 hours.Our aim is to calculate the amount of…

Q: A certain bacteria culture is observed to double its amount after two hours it was initially…

A: Let say population is P. So population at time 't' is given by P(t). Assume initial population is P0…

Q: Initially 25 grams of radioactive substance was present. After 10 hours the mass had decreased by…

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