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(Solved): A radioactive element decays according to the function Q=Q_(0)e^(-t), where Q_(0) is the amount of t ...
A radioactive element decays according to the function
Q=Q_(0)e^(-t), where
Q_(0)is the amount of the substance at time
t=0,
ris the continuous compound rate of decay,
tis the time in years, and
Qis the amount of the substance at time
t. If the continuous compound rate of the element per year is
r=-0.000217, how long will it take a certain amount of this element to decay to half the original amount? (The period is the half-life of the substance.) The half-life of the element is approximately years. (Do not round until the final answer. Then round to the nearest year as needed.).
