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10 September, 17:24

A painting is purchased for $250. if the value of the painting doubles every 5 years, then its value is given by the function v (t) = 250 • 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

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  1. 10 September, 18:46
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    After 5 years, value doubles.

    Hence after 5 years, value is 250 x 2 = 500

    After another 5 years, value doubles.

    500 x 2 = 1000

    Ans: $1000

    Method 2, using function given.

    v (10) = 250 x 2 (10/5) = $1000
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