Solve the problem.
-The function $\mathrm { A } = \mathrm { A } _ { 0 } \mathrm { e } ^ { - 0.0099 \mathrm { x } }$ 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 400 pounds of the material are initially put into the vault, how many pounds will be left after 40 years?
A) 269 pounds
B) 119 pounds
C) 114 pounds
D) 350 pounds

Question

Quizplus · Accepted Answer

The initial amount $A_0$ is 400 pounds. After 40 years, the amount $A$ is calculated as $A = 400 \times e^{-0.0099 \times 40}$. This evaluates to approximately 269 pounds.

Solve the Problem A=A0e−0.0099x\mathrm { A } = \mathrm { A } _ { 0 } \mathrm { e } ^ { - 0.0099 \mathrm { x } }A=A0​e−0.0099x

Solve the Problem $\mathrm { A } = \mathrm { A } _ { 0 } \mathrm { e } ^ { - 0.0099 \mathrm { x } }$