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12 Nov 2019
The half-life of a certain tranquilzer in the bloodstream is 30 hours. How long will it take for the drug to decay to 93% of the original dosage? Use the exponential decay model, A = A_0 e^kt, to solve. hours (Round to one decimal place as needed)
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Deanna Hettinger
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6 Oct 2019
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Use the exponential decay model, A = A_0 e^kt, to solve the following. The half-life of a certain substance is 22 years. How long will it take for a sample of this substance to decay to 63% of its original amount? It will take approximately for the sample of the substance to decay to 63% of its original amount.
The bones of a newly discovered dinosaur weigh 170 pounds and measure 9 feet, with a 6-inch claw on one toe of each hind foot. The age of the dinosaur was estimated using a radioactive substance dating of rocks surrounding the bones. Complete parts a and b. a. The radioactive substance decays exponentially with a half-life of approximately 1.31 billion years. Use the fact that after 1.31 billion years a given amount of the radioactive substance will have decayed to half the original amount to show that the original to show that the decay model for the radioactive substance is given by A = A_0 e^-0.52912t, where t is in billions of years. To show that the decay model for the radioactive substance is A = A_0 e^-0.52912t find the decay rate k for a substance. Substitute the value of A and t in the exponential decay model. A = A_0 e^kt A = A_0 e^kt = A_0 e^1.31k Substitute
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The bones of a newly discovered dinosaur weigh 170 pounds and measure 9 feet, with a 6-inch claw on one toe of each hind foot. The age of the dinosaur was estimated using a radioactive substance dating of rocks surrounding the bones. Complete parts a and b. a. The radioactive substance decays exponentially with a half-life of approximately 1.31 billion years. Use the fact that after 1.31 billion years a given amount of the radioactive substance will have decayed to half the original amount to show that the original to show that the decay model for the radioactive substance is given by A = A_0 e^-0.52912t, where t is in billions of years. To show that the decay model for the radioactive substance is A = A_0 e^-0.52912t find the decay rate k for a substance. Substitute the value of A and t in the exponential decay model. A = A_0 e^kt A = A_0 e^kt = A_0 e^1.31k Substitute
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How much money will there be in an account at the end of 8 years if $9000 is deposited at 4% interest compounded semi-annually? (Assume no withdrawals are made.) The amount after 8 years will be $ (Round to the nearest cent as needed.) loga 2 0.301 and loga5 0.699. Use one or both of these values to evaluate loga8. The decay rate of a certain chemical is 9.7% per year. What is its half-life? Use the exponential decay model P(t) = P0e-kt where k is the decay rate, and P0 is the original amount of chemical. The half-life of the chemical is years.
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