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?
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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!!!
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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
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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