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4 years ago

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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

2 answers:

Natasha2012 [34]4 years ago

6 0

Answer:

Option A is correct.

the value of the painting ten years after its purchase is, $1,000

Step-by-step explanation:

Given the function:

$v(t) = 250 \cdot 2(\frac{t}{5})$ .....[1]

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;

$v(10) = 250 \cdot 2(\frac{10}{5})$

⇒ $v(10) = 250 \cdot 2(2)$

⇒ $v(10) = 250 \cdot 4$

Simplify:

$v(10) =\$ 1,000$

Therefore, the value of the painting ten years after its purchase is, $1,000

nignag [31]4 years ago

3 0

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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Now we have everything in order to replace into formula (1):

$29.4-1.96\frac{7}{\sqrt{10}}=25.06$

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Part b

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Alternative hypothesis : $\mu>25$

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We can replace in formula (1) the info given like this:

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Give the appropriate conclusion for the test

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