The amount of​ carbon-14 present in a paint after t years is given by y=yoe−0.00012t. The paint contains 11​% of its​ carbon -14. How old are the​ paintings? (Round to the nearest​ year.)

Q: The half-life of palladium-100 is four days. (So half of any given quantity will disintegrate in…

A: Let the initial mass of palladium-100 is m, it is given that mass will reduced to half in 4 days. so…

Q: A vehicle purchased for $22400 depreciates at a constant annual rate of 7% Determine the approximate…

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Q: Find the difference between CI and SI on $92,000 at 20%p.a compounded semi-annually for 1^1/2

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

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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: antity of U-232 remains after 30 yea

A: The quantity remains after 30 years is 75%. It is given that AA0=0.75 , t=30 years. The equation…

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: The half-life of Radium-226 is 1590 years. If a sample contains 500mg, how many mg will remain after…

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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: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

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Q: 1000mg of P with the half life of 14.286 days, how many days would it take to decay to 100mg

A: initial quantity of P , N0=1000 mghalf life of P , t1/2 =14.286 daysto find the days after P bcomes…

Q: A chemical substance has a half-life of 5 hours.how much of a 82-gram sample remains after 12 hours?…

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Q: A vehicle purchased for $22400 depreciates at a constant rate of 7%. Determine the approximate value…

A: Given that the vehicle purchased P = $ 22400   Depreciates rate (r) = 7 %   Time (t) = 15 years

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 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: The half-life of radium is 1690 years. If 30 grams are present now, how much will be present in 140…

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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 710…

A: Formula for decay A(t)= Aoekt Given Ao=80

Q: 35mg sample of plutonium decays to 16mg in 3 minutes. Determine the half life of plutonium.

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

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

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Q: Find the half-life (in hours) of a radioactive substance that is reduced by 1515 percent in 6060…

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Q: The half-life of carbon-14 is about 5730 years. If 1 gram of carbon-14 is present in a sample, how…

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Q: the half-life of silicone-32 is 710 year if 40grams is present now  how much present in 900 years

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Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: We know the half life formula:Nt=N012tt1/2Where Nt=Amount after t years.          N0=Initial Amount.…

Q: Approximate the solution to ln 4x = 3.2. Round to 3 decimal places

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Q: Use r=-0.00012097 A papyrus scroll from ancient Egypt was written 4,800 years ago. To the nearest…

A: Given r=-0.00012097 (a) Given that the age of papyrus scroll is t=4800 years. Thus, the equation is…

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 360…

A: Given query is to find the amount remaining after 360 years.

Q: A vehicle purchased for $22400 depreciates at a constant rate of 6%. Determine the approximate…

A: Formula:      F=P(1+r)t Where, F= future value             P= present value             r= rate of…

Q: The half-life of radioactive strontium-90 is approximately 31 years. In 1963, radioactive…

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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: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

A: The given problem is to find the half life and percentage loss in the 90 years for the given radio…

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

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Q: The isotope cesium-137 has a half-life of 29.75 years. How long will it take a 100 gram sample of…

A: Half life of isotope  cesium-137 = 29.75 years. The decay equation of cesium-137 is given by Let…

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A: Given initial mass   m=175 gram

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: Find the half-life (in hours) of a radioactive substance that is reduced by 5 percent in 15 hours.

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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: 2. The half-life of a radioactive material is 22.52 hours. If you measure 88.95 grams of the sample…

A: Half-life is the time required for a quantity to reduce to half of its initial value. The term is…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

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Q: The half-life of Cobalt-56 is 77.27 days. If a sample contains 460 mg, how many mg will remain after…

A: Half-lifeA=Ao. 12n whereA- The mass of the substance that remains Ao- Initial massn= ratio between…

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: The half-life of a radioactive kind of nitrogen is 10 minutes. How much will be left after 40…

A: Radioactive decay occurs as an exponential function. That is given by…

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: The half-life of radium is 1690 years. If 50 grams are present now, how much will be present in 580…

A: Since it is given that half-life of radium is 1690 years.Our aim is to calculate that how much…

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 240…

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Q: The half-life of radium is 1690 years. If 90 grams are present now, how much will be present in 370…

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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.