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sciencecreation87
29.09.2019 •
Mathematics
Apainting 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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Ответ:
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
Ответ:
Option A is correct.
the value of the painting ten years after its purchase is, $1,000
Step-by-step explanation:
Given the function:
where,
t is the number of years since it was purchased and
v(t) is its value(in dollars) at that time.
We have to find the value of the painting ten years after its purchase.
⇒ t = 10 years
Substitute in [1] we have;
⇒![v(10) = 250 \cdot 2(2)](/tpl/images/0274/1694/58b71.png)
⇒![v(10) = 250 \cdot 4](/tpl/images/0274/1694/10de0.png)
Simplify:
Therefore, the value of the painting ten years after its purchase is, $1,000
Ответ:
2. 48
3. 54
4. 60