Question

A car's value depreciates over time, as shown in the graph and modeled by the function v(n)=25000(0.90)n
. Determine the car's value after 10 years.

Graph showing exponential decay curve of value over 15 years.
(1 point)
Responses

$22,500.00
$22,500.00

$14,762.25
$14,762.25

$8,716.96
$8,716.96

$2,500.00
$2,500.00
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Answer 1

v(10) = 25000(0.90)^10 = 25000(0.3486784401) ≈ 8716.96

Answer: $8,716.96