Dinosaur fossils are too old to be reliably dated using carbon-14, which has a half-life of about 5730 years. Suppose we had a 66 million year old dinosaur fossil. How much of the living dinosaur's 14C would be remaining today? (Round your answer to five decimal places.) % Suppose the minimum detectable amount is 0.5%. What is the maximum age of a fossil that we could date using 14C? (Round your answer to the nearest integer.) yr

Q: An article on the "Iceman" stated that the frozen corpse was 5,000 to 5,500 years old. Assuming the…

A: To find - How much carbon-14 should it contain.

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

A:

Q: A wooden artifact from an ancient tomb contains 60 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 wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

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Q: 3. The current population of Earth is about 6.5 billion. Use an average growth rate of 1.14% to…

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

A: Since we have the radioactive decay formula:                         A=A0.2-th      where  A =…

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

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Q: Complete the table below using the exponential decay formula with half-lives. ..... Years Original…

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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: A scientist investigating a new type of bacteria has created the following model for the population…

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Q: Suppose a sample of a radioactive substance weighs 30 mg. One year later, the sample weighs 27.5 mg.…

A: Since, it is given that a sample of substance weighs 30 mg. After one yearlater the sample weighs…

Q: (2) The half-life of titanium-44, a radioactive isotope, is 63 years. If a substance starts out with…

A: Here, we are going to solve question number 2 and for the remaining question post the question…

Q: Nadav invests $6,000 in an account that earns 5% interest compounded continuously. What is the total…

A:

Q: A sample of bacteria is decaying according to a half-life model. If the sample begins with 800…

A: Given: t=0  ,A0=800 t=14  ,A=160 t=?  ,A=40

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

A: I have stated the used formula in the solution.

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

A:

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

A: Given:  The cost of boat=$13000Rate of depreciation=10%=-10100=-0.10t=7 years

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

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Q: Suppose a country has a population of 50 million and projects growth rate of 5% per year for 20…

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Q: A fossilized leaf contains 25% of its normal amount of carbon 14. How old is the fossil (to the…

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Q: 1. If you have 100 grams of a radioactive isotope with a half-life of 10 years: a. How much of the…

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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: Suppose a colony of bacteria has a continuous growth rate of 17% per hour. By what percent will the…

A: Given, colony of bacteria has a continuous growth rate of 17% per hour We have to find after 13 hour…

Q: If you invest $12,000 at 9% interest compounded continuously, what is the average amount in your…

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

A:

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: What is the rate compounded semi-annually that results in P625 accumulating to P1100 in 42 months?*…

A:

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

A: To calculate the amount of mass of after 6 half-lives if the initial amounts of radioactive isotopes…

Q: Suppose the population of a country increases at a steady rate of 3% per year. If the population is…

A: Given,           Suppose the population of a country increases at a steady rate of 3% per year.…

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

A: The above problem is based on Radio active decay  Formula: A=AoeCt A= remaining amount of radium at…

Q: The population is decreasing at a rate of 5 % per year. if the population is 25,200 today, what will…

A: Given, Current Population = 25200 Decreasing @ 5% per annum

Q: 3. The current population of Earth is about 6.5 billion. Use an average growth rate of 1.14% to…

A: The current population of earth is 6.5 billion percentage of growth rate 1.14% using current year…

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

A:

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: Cesium-137 has a half-life of approximately 30 years. How much of a 40-gram sample would be left…

A: The exponential decay function is given by P = P0·ek·t where t = time in years P = the amount of…

Q: An article on the "Iceman" stated that the frozen corpse was 5,000 to 5,500 years old. Assuming the…

A: Given data: The given time is t=5,200 years. The given half lifetime is t1/2=5,730. The expression…

Q: The life expectancies of black males in the United States at various ages for 2006 are as shown…

A: a) At birth age=0 So coordinate are (0,69.7) and (60,18.2). We find the average rate of change…

Q: An unknown radioactive element decays into non-radioactive substances. In 700 days the radioactivity…

A: An unknown radioactive element decays into non radioactive substances. In 700 days, the…

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 a radioactive isotope is 70 years. If 150 grams of the isotope is originally…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

A:

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

A: We have to solve

Q: How much carbon-14 would you expect to find in a 11,460-year-old relic? (Round your answer to the…

A: Solution is given below

Q: At a supermarket, the price of fresh green seedless grapes decreased from $3.99 per pound to $3.48…

A: Given that: Initial price of Grapes = $3.99/pound                   Final price of Grapes =…

Q: The half-life of the radium isotope Ra-226 is approximately 1,599 years. What percent of a given…

A: Formula: y=Cekt where y is the amount of radioactive radium at time t, k is the decay constant, and…

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.

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.