4. Radium decomposes at a rate proportional to the amount present. If half the original amount disappears 1600 years, find the percentage lost in 100 years.

Q: Suppose a small quantity of radon gas, which has a half-life of 3.8 days, is accidentally released…

A: half life problem

Q: A radioactive material decays at a rate proportional to its amount. If the material has a life of 30…

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

Q: 4. A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

A:

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: 1. The rate of increase of a certain population of a barangay is proportional to the population. If…

A:

Q: 1. The half life of a substance is 250 years. After 1000 years what percentage of the substance…

A: As per our guidelines we are supposed to answer one question only, kindly repost the remaining…

Q: 1. U.S. oil reserves are estimated at 29 billion barrels, and we currently produce about 6 MBPD. How…

A: Given  Oil reserves =29 billion barrels 1 billion = 1000million  Current production= 6 million…

Q: 3) A certain radioactive material loses mass at a rate proportional to the mass present. If the…

A:

Q: If half a certain amount of radium decays in 1600 years. What percentage of the original amount will…

A:

Q: What rate is required to grow 100 to 10,000 in 10 years?

A:

Q: (4) If the population of bacteria in a certain region triples in 50 days. In how many days will be…

A: Assuming the rate of increase is proportional to the number of inhabitants. To find- No. of days in…

Q: if water rises 1/2 inch in 3/7 of a week in a water reservoir, at what rate is the water rising per…

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Q: 1. The population of Kuhala Island doubles every 3 decades. 2. The amount of radioactive isotope of…

A: Whether each given is an exponential function, exponential equation, or exponential inequality or…

Q: 1. Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Given that Radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of…

Q: 9. If 75 mg of a radioactive substance decays to 15 mg in 20 years, find the Half-Life, in minutes,…

A:

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: 9. The mass of a radioactive substance is 400mg and decreases by 6% per year. What is its mass after…

A: The mass of the radioactive substance is 400mg and decreases by 6% per year.

Q: 3. A radioactive substance has a half-life of 1620 years. If its mass is now 4 grams, find the time…

A:

Q: Potassium-40, with a half-life of 1.25 billion years, has been used by geochronologists trying to…

A: Let 't' be the number of yearsLet 'x(t)' be the…

Q: 1) For a period of time, an island's population grows at a rate proportional to its population. If…

A:

Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

Q: 4. The population of the world is expected to double in the next 30 yr. What is its growth rate?

A:

Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…

A:

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: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

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

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

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: If the price of gold decrease at a monthly rate of 2.1%, by what percentage does it decrease in a…

A: If something is decreasing at 2.1% per month,then after 1 month we have 100%-2.1%=97.9%so after each…

Q: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

A:

Q: 2. Suppose that a bacteria population is dying off at a rate of 30% per day. How much of the…

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Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

A: We have to find the half life of substance.

Q: 3. The rate of population grarth of a to the number inhabitent>. If the population of a certain…

A: topic - exponential function

Q: Radon-222 decays at a continuous rate of 17.3% per day. How much will 250 mg of Radon-222 decay to…

A: Radon-222, a noble gas resulting from the decay of naturally occurring uranium-238, is the first…

Q: 1. A body at 50 degrees C cools inside a room with temperature of 30 degrees C. At what temperature…

A: Let's find.

Q: If the half-life of a radioactive substance is 6,700 years, then at what rate is it decaying? 1…

A: The decay law is given by, A(t)=A0e-kt Where, A0 is the amount at t=0. And, t1/2=ln2k

Q: A radioactive material decays at a rate proportional to its amount. If the material has a half-life…

A: model is  A=A0ektfor half-life put A=A02thenA02=A0ektsolving for t, we get k=-ln(2)t

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

A: Topic:-  exponential function

Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Since you posted two questions here, i can answer only first one at a time. Please repost other…

Q: Strontium-90 is a radioactive isotope with a half-life of 29 years. Strontium-90 is a major…

A: The half-life , T12 , is calculated using the formula, T12=ln 2λ , where, λ is the decay constant.…

Q: 1. The half-life of a radioactive material is 41.44 minutes. Starting with 840.7 grams of the…

A:

Q: Assume a quantity decreases by 7.5% in 5.3 hours. What is the half-life of the substance? hours

A: Calculating the half life of the substance using the given conditions

Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

A: Let Q  = amount of substance present            dQdt=kQ             integrating on both sides…

Q: 6. An antibacterial substance is applied to a bacteria culture of 5000 bacteria. After 10 days, the…

A: The initial population is 5000. The population after 10 days is 100. We need to determine the decay…

Q: 2. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life?

A: Let No be the initial mass, N be remainingmass.  Then  N= No - 25100 No = No - No4=34NoHence    t…

Q: 1. The value of a car depreciates at a rate of 12% per year. If its original cost is $12,000.00,…

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Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

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Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

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Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given:A quantity decreases by 5.1% in 7.5 hours.

Q: 3. Radioactive carbon-14 fossil decays at a rate proportional to its amount present and has a…

A:

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

A: