The decay of a radioactive substance is measured continuously, where t represents the time that has elapsed, measured in years. The substance decays exponentially with a decay rate of A. The decay of the substance is described by the function: N(t) = Noe-At where, • No is the initial amount • N (t) is the amount remaining at time t At time t = 0, there are No = 10000 grams of a radioactive material present. At time t = 18, there are N(18) = 1500 grams remaining. Find the time at which 5000 grams remain. Round your answer to the nearest 0.01 years. t = years
The decay of a radioactive substance is measured continuously, where t represents the time that has elapsed, measured in years. The substance decays exponentially with a decay rate of A. The decay of the substance is described by the function: N(t) = Noe-At where, • No is the initial amount • N (t) is the amount remaining at time t At time t = 0, there are No = 10000 grams of a radioactive material present. At time t = 18, there are N(18) = 1500 grams remaining. Find the time at which 5000 grams remain. Round your answer to the nearest 0.01 years. t = years
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 13CC: Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is...
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![The decay of a radioactive substance is measured continuously, where t represents the time that has elapsed,
measured in years.
The substance decays exponentially with a decay rate of A. The decay of the substance is described by the
function:
N(t) = Nge-t
where,
• No is the initial amount
• N (t) is the amount remaining at time t
At time t = 0, there are No = 10000 grams of a radioactive material present. At time t = 18, there are
N(18) = 1500 grams remaining. Find the time at which 5000 grams remain. Round your answer to the nearest
0.01 years.
t = years](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F883f89c4-74f3-4f26-b8ab-4b66a69c1c01%2Fa0f1a8e1-80ba-4044-a032-badd81ded336%2F5ma5lt8_processed.png&w=3840&q=75)
Transcribed Image Text:The decay of a radioactive substance is measured continuously, where t represents the time that has elapsed,
measured in years.
The substance decays exponentially with a decay rate of A. The decay of the substance is described by the
function:
N(t) = Nge-t
where,
• No is the initial amount
• N (t) is the amount remaining at time t
At time t = 0, there are No = 10000 grams of a radioactive material present. At time t = 18, there are
N(18) = 1500 grams remaining. Find the time at which 5000 grams remain. Round your answer to the nearest
0.01 years.
t = years
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