Solve the problem.
-The function $\mathrm { A } = \mathrm { A } _ { \mathrm { o } } \mathrm { e } ^ { - 0.00866 \mathrm { t } }$ models the amount in pounds of a particular radioactive material stored in a concrete vault, where t is the number of years since the material was put into the vault. If 500 pounds of the
Material are initially put into the vault, how many pounds will be left after 150 years? Round to the nearest
Pound.
A)345 lb
B)133 lb
C)136 lb
D)469 lb

Question

Quizplus · Accepted Answer

To find the amount left after 150 years, substitute $A_0 = 500$ and $t = 150$ into the given formula: $A = 500e^{-0.00866 \times 150}$. Calculating this gives $A \approx 136$ pounds.

Solve the Problem A=Aoe−0.00866t\mathrm { A } = \mathrm { A } _ { \mathrm { o } } \mathrm { e } ^ { - 0.00866 \mathrm { t } }A=Ao​e−0.00866t

Solve the Problem $\mathrm { A } = \mathrm { A } _ { \mathrm { o } } \mathrm { e } ^ { - 0.00866 \mathrm { t } }$