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 800 pounds of the material are initially put into the vault, how many pounds will be left after 190 years?
A) 122 pounds
B) 620 pounds
C) 1086 pounds
D) 147 pounds

Question

Quizplus · Accepted Answer

To find the amount left after 190 years, substitute $A_0 = 800$ and $x = 190$ into the equation: $A = 800 \cdot e^{-0.0099 \cdot 190}$. This calculation results in approximately 122 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 $\mathrm { A } = \mathrm { A } _ { 0 } \mathrm { e } ^ { - 0.0099 \mathrm { x } }$