The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only67​%of the​ carbon-14 expected in living​ matter, when did the tree​ die?

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

A: Given: The remaining percentage of carbon is 40%. The half-life of carbon-14 is 5730 years.

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Q: A savings account paying 3% continuously compounded interest has $1600 after 8 years. How much was…

A: Please refer the attached image for complete solution.THANK YOU.

Q: popultaion of a southern city folow exponential law.  if the population doubled in size over 14…

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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 culture of a certain bacterium grows according to the law of exponential growth. If there were 130…

A: 1. The exponential growth is given by the where N(t) is the no of insects at a time t .N0 is the…

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Half life and decay

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A: Given: 200 gr of an element decays to 15 gr in 12 hrs. To find: Half-life of an element.

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Q: 4.A radioactive substance loses 3% of its substance every 5 years. What is the half-life of this…

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Q: Cobalt-60 has a half-life of 5.24 years. a. Find the mass that remains from a 100-mg sample after 20…

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Q: A bank offers 59% interest compounded continuously in a savings account. Determine (a) the amount of…

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

A: We have given that a wooden artifact tomb contains 25 percent of the carbon-14 that is present in…

Q: Radon-222 has a half-life of 4.00 days. Given its mass 2.789 gram at a certain time, what was the…

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Q: 40 grams of radioactive material decays to 35 grams in 20 years. Find the half-life.

A: In this question we need to find the half life of the given radioactive material

Q: You deposit $6200 in an account that pays 1.76% annual intrest. Find the balance after 10 years…

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

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Q: - of the carbon-14 that is present in living trees. How long ago was the artifact made? (The…

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Q: Use the continuously compound interest formula A=Pert to approximate the final value of $1500 at…

A: Given  A=PertP=$1500r=0.75%t=8 years.

Q: Aradioactive chemical has a decay rate of approximately 5% per year Suppose that thès chemical is…

A: The amount of radio active substance remains after t years is given by             A = pk1-e-kt…

Q: A wooden artifact from an ancient tomb contains 70% of the carbon-14 that is present living trees.…

A:

Q: A sample of a radioactive substance decayed to 10% of its original amount after 30 years. What is…

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Q: The population growth rate is 3.0% per day with a current population of 30,000.            a.…

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Q: A particular isotope has a half-life of 1 minutes.  If you start with 1 gram of this isotope, how…

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Q: Radon-222 has a half-life of 4.00 days. Given its mass 5.488 gram at a certain time, what was the…

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Q: Calculate the amount of INTEREST earned in an account with initial investment of $25,000 in 10 years…

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Q: If ​$7000 is invested at 5​% compounded​ continuously, what is the amount after 7 ​years? round…

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Q: 2. Half-life of a DNA of an extinct moa is 521 years. A 1 mg sample was estimated to be 6000 years…

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Q: A bank offers 5% interest compounded continuously in a savings account. Determine (a) the amount of…

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Q: 2. The population of a suburb doubled in size in an 18-month peri growth continues and the current…

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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: $1500 is invested at a rate of 8% coumpounded quarterly. What is the amount at the end of 5 years?

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Q: The interest on a bank savings account is compounded continuously, with an annual interest rate of…

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Q: A sample of an isotope decayed to 77.3% of its original amount after one year. What is the half-life…

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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.