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AP Calculus BC/Unit 7: Differential Equations
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Radioactive Decay Model

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A radioactive substance decays at a rate proportional to the amount present. If 30% of the substance decays over a 10-year period, what percentage of the original amount will remain after 25 years?

A

\(100 - 30 \cdot (25/10)\)%

B

\(100 \cdot (0.7)^{25/10}\)%

C

\(100 \cdot (0.7)^{2.5}\)%

D

\(100 \cdot (1-0.3)^{25}\)%

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