Solve.
-The function $\mathrm{A}=\mathrm{A}_{0} \mathrm{e}^{-0.0077 \mathrm{x}}$ models the amount in pounds of a particular radioactive material stored in a concrete vault, where $\mathrm{x}$ is the number of years since the material was put into the vault. If 900 pounds of the material are initially put into the vault, how many pounds will be left after 80 years?
A) $506 \mathrm{lb}$
B) $413 \mathrm{lb}$
C) $486 \mathrm{lb}$
D) $400 \mathrm{lb}$

Question

Quizplus · Accepted Answer

To find the amount left after 80 years, substitute $A_0 = 900$ and $x = 80$ into the given formula: $A = 900e^{-0.0077 \times 80}$. Calculating this gives approximately $486$ pounds.

Solve -The Function A=A0e−0.0077x\mathrm{A}=\mathrm{A}_{0} \mathrm{e}^{-0.0077 \mathrm{x}}A=A0​e−0.0077x Models the Amount in Pounds of a Particular Radioactive Material

Solve
-The Function $\mathrm{A}=\mathrm{A}_{0} \mathrm{e}^{-0.0077 \mathrm{x}}$ Models the Amount in Pounds of a Particular Radioactive Material