Use the exponential decay formula to find the final amount. Round to the nearest whole.
-$\begin{array}{c|c|c|c}
\begin{array}{c}
\text { Original } \
\text { Amount }
\end{array} & \begin{array}{c}
\text { Decay } \
\text { Rate per Year }
\end{array} & \begin{array}{c}
\text { Number } \
\text { of Years, }
\end{array} & \begin{array}{c}
\text { Final Amount after } \
\text { x Years of Decay }
\end{array} \
\hline 12,000 & 12 \% & 11 &
\end{array}$

A) 2594
B) 3330
C) 2964
D) 2941

Question

Use the exponential decay formula to find the final amount. Round to the nearest whole.
-$\begin{array}{c|c|c|c}
\begin{array}{c}
\text { Original } \
\text { Amount }
\end{array} & \begin{array}{c}
\text { Decay } \
\text { Rate per Year }
\end{array} & \begin{array}{c}
\text { Number } \
\text { of Years, }
\end{array} & \begin{array}{c}
\text { Final Amount after } \
\text { x Years of Decay }
\end{array} \
\hline 12,000 & 12 \% & 11 &
\end{array}$

A) 2594
B) 3330
C) 2964
D) 2941

Quizplus · Accepted Answer

The exponential decay formula is $A = P(1 - r)^t$, where $A$ is the amount after decay, $P$ is the original amount, $r$ is the decay rate per period, and $t$ is the number of periods. Plugging in the given values: $A = 12000(1 - 0.12)^{11}$, calculating this gives approximately 2941.

Use the Exponential Decay Formula to Find the Final Amount