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A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function V(t) = 350 • 2t/5, where t is the number of years since it was purchased and V(t) is its value (in dollars) at that time. What is the value of the painting ten years after its purchase?

$1,000
$1,400
$1,800
$2,000

Respuesta :

$1,400. Hope it helps!!

The value of the painting ten years after its purchase = $1400

What is a function?

  • "It defines a relation between input and output values."
  • "In function, for each input there is exactly one output."

For given question,

A function [tex]V(t)=350\times \frac{2t}{5}[/tex] represents the value of the painting after t years.

We need to find the value of the function when t = 10 years

[tex]V(t)=350\times \frac{2t}{5}\\\\V(10)=350\times \frac{2\times 10}{5}\\\\V(10)=350\times 4\\\\V(10)=1400[/tex]

Therefore, the value of the painting ten years after its purchase = $1400

Learn more about function here:

https://brainly.com/question/13136199

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