Find the half-life of a radioactive substance if 250 grams of the substance decays to 190 grams in 7 years. (Round your answer to two decimal places.)

Q: Solve. The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be…

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Q: Find the half-life of a radioactive substance that decays by 4% in 3 years. (Round your answer to…

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Q: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

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Q: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

A: Equation governing the radioactive decay is: A = A0e-kt When t = 1,599 then A = A0 / 2 (this is by…

Q: A sample of a newly discovered element, West Virginium, has a half-life of 425 years. How long will…

A: Given half life of element is 425 years t1/2. Initial weight A0 is 803 mg and after decay is 401.5…

Q: At a certain instant, 100 grams of a radioactive substance is present. After 20 years, 99.76 grams…

A: given that 100 gm of a radio active substance is present. after 20 years 99.76 gm remain. we have to…

Q: If 100 mg of radium is reduced to 90 mg of radium in 200 years determine how much radium will remain…

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Q: 11) The half-life of silicon-32 is 710 years. If 30 grams is present now, how much will be present…

A: Given data : Ao=30 gmp =710 years t= 300 yearsLet "A" be the amount after 300 yearsA=?

Q: The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 100…

A: Half life of radium is 1690 years Present mass = 10 grams Mass at 100 years from now is to be…

Q: Suppose a sample of a radioactive substance weighs 34 mg. One year later, the sample weighs 25.5 mg.…

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Q: The​ half-life of​ silicon-32 is 710 years. If 40 grams is present​ now, how much will be present in…

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Q: If radio active carbon-14 has a half -life of 5750 years ,what will remain of one gram after 3000…

A: The formula for the half-life is given by Nt=N012tt12 where N(t) is the amount of substance…

Q: How long (in years) would $200 have to be invested at 6%, compounded continuously, to amount to…

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Q: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

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Q: This exercise uses the radioactive decay model. If 250 mg of a radioactive element decays to 190 mg…

A: Given that 250 mg of a radioactive element decays to 190 mg in 24 hours. So, for finding the…

Q: This exercise uses the radioactive decay model. If 250 mg of a radioactive element decays to 190 mg…

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Q: How long will it take for $1,000 to be worth $2,500 at 5% interest, if compounded continuously?…

A: Given:  P=$1000A=$2500r=5%=0.05

Q: This exercise uses the radioactive decay model.If 250 mg of a radioactive element decays to 220 mg…

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Q: is

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Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon- 14 that is present in…

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Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in…

A: Given, Initial quantity of carbon-14=N(0)= 100% Quantity of C-14 remaining=N(t)= 30% Half-life of…

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A: We have to find how long ago, to the nearest year, was the artifact made.

Q: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in…

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Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Given:-Carbon contains 60% of its initial value  First we find the vale of decay rate from half time…

Q: If 16% of a radioactive substance decays in 14 hours, what is the half-life of the substance? Round…

A: Consider the formula for the decay of the radioactive substance. Find the value for A(t) at t = 14…

Q: If 275 mg of a radioactive element decays to 200 mg in 48 hours, what is its half-life?

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Q: How long will it take $7,000 to double if it is invested at an annual rate of 6% compounded…

A: To find the time to double initial amount of $ 7000

Q: A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years. How much of the…

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Q: A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in…

A: Radioactive decay

Q: If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance? Round…

A: In case of a radioactive decay,  the amount x after time t is given by x(t)=x(0)e−kt where x(0) is…

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in li…

A: The solution is given below

Q: A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the…

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Q: Only 25% of the carbon-14 in a wooden bowl remains. How old is the bowl? (Carbon-14 has a half-life…

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Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon-14 that is present in…

A: For the given wooden artifact which contains 25 % of C-14 half life is 5730 years  Number of years…

Q: Carbon 14 has a half-life of 5,730 years. How fast is a lump of 80 grams decaying after 100 years?…

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Q: If the rate of growth of a population continues at 2%, in how many years will the population double?…

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Q: Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount…

A: A(t)=A012thh is the half lifeA(t) is the amount after t years.A0 is the initial value.

Q: A speed boat bought for $13,000 depreciates at 10% per annum compounded continuously. What is its…

A: A=PertP is the amount investedA is the amount after t yearsr is the rate

Q: If 10,200 accumulates interest at an annual rate of 9% , compounded continuously, how much will be…

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Q: If 250 mg of a radioactive element decays to 220 mg in 12 hours, find the half-life of the element.…

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Q: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in…

A:

Q: Suppose a sample of a radioactive substance weighs 30 mg. One year later, the sample weighs 29.5 mg.…

A:

Q: The​ half-life of​ silicon-32 is 710 years. If 40 grams is present​ now, how much will be present in…

A:

Q: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in…

A:

Q: suppose a sample of radioactive substance weighs 40mg. one year later, the sample weighs 25.5mg.…

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

Q: How long (in years) would $200 have to be invested at 9%, compounded continuously, to amount to…

A: Future Value(FV) is the anticipated value of any Current Amount in the future time period. It is…

Q: If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the half-life of the element.

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Q: A wooden statue found in Egypt has a carbon-14 content that is three-fifths of that found in living…

A: The given problem is solved below in detail.

Q: How much of a radioactive kind of tungsten will be left after 363 days if the half-life is 121 days…

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Q: This exercise uses the radioactive decay model. If 250 mg of a radioactive element decays to 180 mg…

A: To find out the half life of this decay

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.