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Math·Advanced Math·Nonlinear functions

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When a scientist began observing a sample of an isotope, the mass of the sample was $530,000$ milligrams. The mass of the sample decreases by half approximately every $5$ days. Which of the following is closest to the mass, in milligrams, of the sample $35$ days after the scientist began observing the sample?

A

$4,141$

B

$15,143$

C

$16,563$

D

$75,714$