Assume a substance has a half-life of 11 years and the initial amount is 133 grams.How long will it be until only 35 % remains?

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

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Q: The​ half-life of radium is 1690 years. If 80 grams are present​ now, how much will be present in…

A: We have given the half life of radium is 1690 years.And the present amount of radium is 80 grams…

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

A:

Q: If there were originally 500 grams of carbon-14 originally, how much carbon-14 would remain after 10…

A: In each half life , amount becomes half of the previous one. It means that, after each half life the…

Q: You have 10 ounces of a radioactive substance with a half-life of 5 hours. How long will it be until…

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Q: The half-life of radium is 1690 years. If 40 grams are present now, how much will be present in 690…

A: Given: The half-life of radium is 1690 years. if 40grams are present now.

Q: A radioactive substance has a half-life of 29 years. What percent remains 80 years after being to…

A: We will find the remains after 80 years in percentage.

Q: You have 128 grams of a radioactive kind of strontium. If its half-life is 51 days, how much will be…

A: ln e= 1 ln ab=b ln a

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

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

Q: Given that the half-life of radium is 1690 years, how much in milligrams will remain of one gram of…

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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: 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 40 percent of the carbon-14 that is present in…

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Q: A hospital prepares a 200 mg supply of molybdenum-99 which has a half-life of 66 hours. How much…

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Q: The half-life of radium in a piece of lead is 1600 years. What percentage of the original amount of…

A: Given that, the half-life of radium in a piece of lead is 1600 years. Note that, the formula for…

Q: A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in…

A: Given:wooden artifact=70% of carbon-14half-life of carbon-14 =5730 yearswe know that radioactive…

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

A:

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: The half-life of Strontium-90 is 28.79 years. If a sample contains 490 mg, how many mg will remain…

A: Given half life is 28.79 years Initial mass =490mg To calculate mass after 180 years.

Q: The half-life of carbon-14 is 5,730 years. If there are 600 grams of carbon-14 in a tree when it is…

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

A: The question is exponential function based and we can identify it as we are given the half life. We…

Q: Hello! I need help with this particular question on my study guide. There is an attachment below.…

A: Here we use half-life to calculate the exponential decay:

Q: A radioactive substance has a half-life of 3000 years. If you start with 100 kg of it, how much will…

A: In 1 half life amount becomes half of its initial value. After n half life it becomes 1/2n of its…

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

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Q: The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 50…

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Q: The half-life of silicon-32 is 710 years. If 70 grams is present now, how much will be present in…

A: The equation governing mass at any time t will be: m(t) = m0e-kt where k = 0.693 / t1/2 = 0.693 /…

Q: A wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in…

A:

Q: The half-life of radioactive strontium-90 is approximately 29 years. In 1965, radioactive…

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Q: If18 g of a radioactive substance are present initially and 4yr later only 9g​remain, how much of…

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Q: How old is skeleton that has lost 55% of its carbon-14? The half-life of carbon-14 is 5700 years.…

A: Given that The half-life of carbon-14 is 5700 years To find How old is skeleton that has lost 55% of…

Q: The​ half-life of radium is 1690 years. If 40 grams are present​ now, how much will be present in…

A:

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: Find the half-life (in hours) of a radioactive substance that is reduced by 10 percent in 90 hours.

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

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

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

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Q: Suppose a radioactive substance has a half-life of 1000 years. What fraction will be leftafter 1000…

A: Given that the half life is 1000 years. This means 1/2 of the the original amount is left after 1000…

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: The half-life of radioactive strontium-90 is approximately 27 years. In 1963, radioactive…

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Q: The half-life of Carbon-29 is 1300 years. If 15 grams are present now, how much will be present in…

A: Let A(t) be the amount of Carbon-29 remaining in t years, then

Q: How much is in an account after 10 years if $1000 is invested at an interest rate of 2.4%/year…

A: (a)Given:

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

A:

Q: he half-life of radioactive strontium-90 is approximately 30 years. In 1964, radioactive…

A: Given: The half-life of radioactive strontium-90 is approximately = 30 years    As we know that,…

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

A:

Q: If $100 is invested at 8% compounded monthly what is the amount after 6 years? how much interest is…

A: amount = P (1+r/n)nt Interest = amount - Principal

Q: $3,500 is invested at a rate of 6% coumpounded weekly. What is the amount at the end of 15 years?

A: Principal amount P = $3500 Rate r = 6% weekly             =( 6/52)% annually  Time t = 15 years  =…

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: The​ half-life of radium is 1690 years. If 40 grams are present​ now, how much will be present in…

A:

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.