Solve the problem.
-Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after $x$ years can be described by $\mathrm{A}(\mathrm{x})=100 \mathrm{e}^{-0.01679 \mathrm{x}}$. How much is remaining after 194 years? Round the answer to the nearest hundredth of a milligram.
A) 0.04 milligrams
B) 2597.83 milligrams
C) 325.73 milligrams
D) 3.85 milligrams

Question

Quizplus · Accepted Answer

To find the amount remaining after 194 years, substitute $x = 194$ into the function: $A(194) = 100e^{-0.01679 \times 194}$. Calculating this gives approximately 3.85 milligrams.

Solve the Problem xxx Years Can Be Described By A(x)=100e−0.01679x\mathrm{A}(\mathrm{x})=100 \mathrm{e}^{-0.01679 \mathrm{x}}A(x)=100e−0.01679x

Solve the Problem $x$ Years Can Be Described By $\mathrm{A}(\mathrm{x})=100 \mathrm{e}^{-0.01679 \mathrm{x}}$