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Math·Advanced Math·Nonlinear functions

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Sonja purchased a laptop in September when the laptop had a value of $\$1,000$. Each month for the next $50$ months, the value of the laptop decreased by $2\%$ of the previous month’s value. Which equation represents this situation, where $v$ is the value of the laptop, in dollars, $m$ is the number of months since Sonja purchased the laptop, and $m\le 50$?

A

$v=2,019(0.98{)}^m$

B

$v=2,019(2{)}^m$

C

$v=1,000(0.98{)}^m$

D

$v=1,000(2{)}^m$