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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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