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Math·Advanced Math·Nonlinear functions

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$f(x)=(1.06{)}^{3-5x}$. The function $f$ is defined by the given equation. The equation can be rewritten as $f(x)=a{\left(1-\frac{p}{100}\right)}^x$, where $a$ and $p$ are constants. Which of the following is closest to the value of $p$?

A

75

B

52

C

25

D

18