A radioactive isotope decays continuously according to the equation below
MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations
Problem
A radioactive isotope decays continuously according to the equation below, where t is in years. How many years will it take for a sample to decay to 30% of its original mass? Give an exact answer using natural logarithms and a decimal approximation rounded to the nearest year.
A(t)=A0e−0.0244t