Suppose 600g of a radioactive substance are present initially and 3 yrs later only 300g remain . Determine an exponential function that models this decay. How much substance will be present after 5yrs? Round to the nearest gram

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

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Q: A wooden artifact from an ancient tomb contains 20 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…

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Q: The population of bacteria cells in a dish grows exponentially at a rate of 5% per hour. If there…

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Q: A population grows exponentially at the rate of 1.85%. How long will it take the population to…

A: Population growth formula:    P = (Po).er*t P = population after time t Po = starting population r =…

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: Use the exponential decay model, A = A0ekt, to solve:The half-life of lead is 22 years. How long…

A: According to the question, we have to find the time for a Lead sample to decay to 80% of its…

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

A: Please refer to the image below

Q: Find the formula for the exponential function passing through the points (0,1.5) and (1,5).

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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: Find a formula for the exponential function V=h(t) that gives the value of an item initially worth…

A: Find a formula for the function exponential function v=ht that gives the value of item initially…

Q: Suppose that the half-life of a cesium is 30 years. If there were initially 1000 g of the substance…

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Q: Use the exponential decay model, A = A0ekt, to solve. Round answers to one decimal place. The…

A: Let the exponential decay model be                           A=A∘ekt As given half-life of lead is…

Q: A population is growing exponentially with growth constant .04. In how many years will the current…

A: Exponential model is Pt=P0ekt Where Pt=Population at any time 't' P0=Initial population t= time…

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

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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: During a certain period of time, a population of 70 northern sea otters had an annual growth of 18%.…

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A: Given: At time, t=0, No. of individuals=20.

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A: It is given that the half-life of a certain tranquilizer in the bloodstream is 44 hours.

Q: The population of a certain community follows the law of exponential change. If the present…

A: Topic = Algebra

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

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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: The half-life of a certain chemical in the human body for a healthy adult is approximately 4 hr. a)…

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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: Find the half-life of a radioactive substance if 250 grams of the substance decays to 190 grams in 7…

A: Consider N0 be the initial amount of substance

Q: It is known that a certain kind of algae in the Dead Sea can double in population every 3 days.…

A: Given:  The population doubles every 3 days.  Initial population = 2,000,000 To find:  a) How long…

Q: Suppose a sample of a certain substance decayed to 77.2% of its original amount after 300 days.…

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Q: Use a model for exponential decay to solve: If 12 g of a radioactive substance are present…

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Q: Oganesseon 294 has an exponential decay rate of 38.51% per millisecond what is the half life

A: Let N(t) be the amount of Oganesseon 294 at time t. Exponential decay rate is:  r = 38.51%

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: If the population of a country is 100 million people and the population is increasing exponentially…

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Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams…

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Q: Write an exponential function for a population of 15,000 grows continuously at a rate of 2.5% per…

A: In this question, we need to find the exponential function for a population of 15,000 grows…

Q: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour. Using…

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Q: The count in a bacteria culture was 400 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: The solution is given as follows

Q: Use the exponential decay model, A = A0ekt, to solve:The half-life of thorium-229 is 7340 years. How…

A: Given exponential decay function: A=A0ekt......(1) where A0, of radioactive substance, A represents…

Q: A radioactive substance decays exponentially. There are 400 milligrams of the substance to begin…

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Q: Use the exponential decay model, A = A0ekt, to solve. Round answers to one decimal place. The…

A: Given  we have to use  A = A0ekt The half life of thorium is 7340 years

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 radioactive substance decays exponentially. A scientist begins with 110 milligrams of a…

A: The number of atoms N of a radioactive substance which remain undecayed after an elapse of time t…

Q: A population is now 3000 and is growing exponentiallywith a growth constant of .02, what will be the…

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

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Q: In 2013, the population of a colony is 18500, and is increasing exponentially at a rate of 10.7% per…

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Q: It is known that a certain kind of algae in the Dead Sea can double in population every 5 days.…

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Q: Use the exponential decay model A = A0ekt, to solve this excercise. The half-life of aspirin in your…

A: Given: The half-life of aspirin in our bloodstream is 12 hours. To find the time will it take for…

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: If 20% of the radioactive substance disappears in one year, find its half-life assuming exponential…

A: topic - exponential function

Q: It is known that a certain kind of algae in the Dead Sea can double in population every 3 days.…

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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.