Use the exponential decay formula to find the final amount. Round to the nearest whole.
-$\begin{array}{c|c|c|c}
\begin{array}{c}
\text { Original } \
\text { Amount }
\end{array} & \begin{array}{c}
\text { Decay } \
\text { Rate per Year }
\end{array} & \begin{array}{c}
\text { Number } \
\text { of Years, } \times
\end{array} & \begin{array}{c}
\text { Final Amount after } \
\text { x Years of Decay }
\end{array} \
\hline 207 & 4 \% & 7 &
\end{array}$

A) 291
B) 155
C) 272
D) 156

Question

Use the exponential decay formula to find the final amount. Round to the nearest whole.
-$\begin{array}{c|c|c|c}
\begin{array}{c}
\text { Original } \
\text { Amount }
\end{array} & \begin{array}{c}
\text { Decay } \
\text { Rate per Year }
\end{array} & \begin{array}{c}
\text { Number } \
\text { of Years, } \times
\end{array} & \begin{array}{c}
\text { Final Amount after } \
\text { x Years of Decay }
\end{array} \
\hline 207 & 4 \% & 7 &
\end{array}$

A) 291
B) 155
C) 272
D) 156

Quizplus · Accepted Answer

The exponential decay formula is $A = P(1 - r)^t$, where $A$ is the final amount, $P$ is the original amount, $r$ is the decay rate per period, and $t$ is the number of periods. Plugging in the given values: $A = 207(1 - 0.04)^7 \approx 156$.

Use the Exponential Decay Formula to Find the Final Amount