Solve the problem.
-The functio $\mathrm { A } = \mathrm { A } _ { \mathrm { O } } \mathrm { e } ^ { - 0.0099 \mathrm { x } }$ models the amount in pounds of a particular radioactive material stored in a concrete vault, where x 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 80 years?
A) 286 pounds
B) 273 pounds
C) 226 pounds
D) 219 pounds

Question

Quizplus · Accepted Answer

The formula for the amount of radioactive material remaining is $ A = A_0 e^{-0.0099x} $. Given $ A_0 = 500 $ and $ x = 80 $, we calculate $ A = 500 \times e^{-0.0099 \times 80} $. This results in approximately 226 pounds.

Solve the Problem A=AOe−0.0099x\mathrm { A } = \mathrm { A } _ { \mathrm { O } } \mathrm { e } ^ { - 0.0099 \mathrm { x } }A=AO​e−0.0099x

Solve the Problem $\mathrm { A } = \mathrm { A } _ { \mathrm { O } } \mathrm { e } ^ { - 0.0099 \mathrm { x } }$