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Question
Practice using the exponential decay formula by completing the table below. Round final amounts to the nearest whole.Show more…
$$
\begin{array}{|c|c|c|c|}
\hline \begin{array}{c}
\text { Original } \\
\text { Amount }
\end{array} & \begin{array}{c}
\text { Decay Rate } \\
\text { per Year }
\end{array} & \begin{array}{c}
\text { Number } \\
\text { of Years, } \boldsymbol{x}
\end{array} & \begin{array}{c}
\text { Final Amount after } \\
\boldsymbol{x} \text { Years of Decay }
\end{array} \\
\hline 207,000 & 32 \% & 25 & \\
\hline
\end{array}
$$
Instant Answer
Step 1
The formula is given by \(Y = a(1 - r)^x\), where: - \(Y\) is the final amount after \(x\) years of decay, - \(a\) is the original amount, - \(r\) is the decay rate per year, and - \(x\) is the number of years. In this case, we have: - \(a = 207,000\), - \(r = Show more…
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