A painting is purchased for $500. If the value of the painting doubles every 5 years, then its value is given by the function V(t) = 500 • 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

Question

A painting is purchased for $500. If the value of the painting doubles every 5 years, then its value is given by the function V(t) = 500 • 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

anonymous · Answer

i really need help guys

radar · Answer

Maybe it would help if you saw the function as it should be written:$$V(t)=500\times 2^{(t/5)}$$Now plug in the value for t as stated in the problem.  Then operate on the 2 exponently then multiply your result by 500.

radar · Answer

$$V(t) = 500\times 2^{(10/5)}$$

anonymous · Answer

so v(t)=2000

radar · Answer

$$V(t)=500\times 2^{2}$$
Solve.

radar · Answer

Good work @mahmoud10

radar · Answer

Don't for the $ sign lol

anonymous · Answer

alright thanks man i really appreciate it

radar · Answer

You're welcome, good luck with your studies.

anonymous · Answer

thanks man