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Mathematics 23 Online
OpenStudy (anonymous):

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?

undeadknight26 (undeadknight26):

i think you plug in 10 where t is right?

OpenStudy (anonymous):

I'm not sure.. @Hitaro9

undeadknight26 (undeadknight26):

so v(10) = 250 x 2 x 10/5 20/5 250/5 = 50 v(10) = 50? please tell me if i am wrong...

OpenStudy (hitaro9):

Make sure you include the carot sign

undeadknight26 (undeadknight26):

my fault!!! 250/4!!!

OpenStudy (hitaro9):

Cause without it the problem is a lot differnt.

undeadknight26 (undeadknight26):

which carrot sign?

OpenStudy (hitaro9):

250 x 2 ^(10/5)

OpenStudy (hitaro9):

250x2^2

OpenStudy (hitaro9):

250x4

OpenStudy (hitaro9):

1000 dollars

undeadknight26 (undeadknight26):

oh lol...

OpenStudy (hitaro9):

You can think through that logically too

OpenStudy (hitaro9):

If it doubles every 5 years and 10 years passes

OpenStudy (hitaro9):

then on the 5th year, it will double once, being 500 dollars . then on the 10th year, it will double again, being 1000 dollars

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