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Inessa05 [86]
3 years ago
13

A painting is purchased for $450. If the value of the painting doubles every 5 years, then its value is given by the function V(

t) = 450 • 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
can someone do this problem for me would be a big help.
Mathematics
2 answers:
Alexandra [31]3 years ago
8 0

Answer:

The value of the painting after 10 years is $1,800

Step-by-step explanation:

V(t) = 450 x 2 ^t/5

V(10) = 450 x 2^10/5

V(10) = 1,800

sertanlavr [38]3 years ago
3 0
In order to find the answer for this problem, there are two ways to do that.
Analyze the problem. The paint costs $450 at present. This doubles after 5 years which makes it $900. Another 5 years, which is 10 years in total, it will be $1800.
Next, solve it using this equation:
<span>450×<span>2^<span>t/5 where t is the number of years which is 10.
</span></span></span><span>450×<span>2^10/<span>5
</span></span></span><span>450×<span>2^2
450 x 4 = $1800.
Still the answer is the same. So the answer would be the third option. Hope this answer helps.</span></span>
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