Question

The Value V (in millions of dollars) of a famous painting can be modeled by V = 10e^[kt], where t represents the year, with t = 0 corresponding to 2000. In 2008, the same painting was sold for $65 million. Find the value of the painting in 2014.

Answer 1

isn this physics?

Answer 2

@kittiwitti1 i guess this is not math....

Answer 3

Que es?

Answer 4

Ya veo...

Answer 5

CuAndo editarAs tU la pregunta?

Answer 6

cuAl es el problema de hablar en espaNol xD

Answer 7

First find the value of 'k'
in 2008, t = 8 (2008-2000)
and V given = 65

so,
65 = 10e^(8k)
find k from here

Answer 8

@hartnn I used an online calculator and got the answer but my calculator won't get the value (it says Overflow error)? o_o

Answer 9

to find the value of k ??
use wolframalpha.com

Answer 10

@kittiwitti1 have you learned logs?

Answer 11

ln(6.5)/8 =k

Answer 12

well I did this:\[65=10e^{kt}\]\[\frac{ln6.5}{8}\approx23.3975\]\[V=10e^{23.3975\times 14}\]and the calculator said ERROR: Overflow.
My calculator is a TI-84 Plus graphing, btw

Answer 13

@thisSucks I'm asking if I got any wrong values because the calculator returned an error message.

Answer 14

k = 0.233, not 23.33

Answer 15

ln 6.5 /8 = 0.2334

Answer 16

Oh. My bad o_o
I guess online calculators aren't that great.

Answer 17

i used google for that :P

Answer 18

Actually, no I read it wrong, it said "23.---"% so maybe it's right

Answer 19

So if I fix the decimal it should be right?

Answer 20

yes, then its right

Answer 21

Okay, thanks @hartnn (:

Answer 22

thank me when you get correct final answer...
and post it too, so that i can verify

Answer 23

So I did this\[10e^{.233975\times14}\approx264.6042\]I assume the error message was because I put too high an exponent on the first try (Google says the highest exponent the calculator can calculate is 99)?

Answer 24

you're correct on both things.
welcome ^_^

Answer 25

Hahah okay, thanks again (:

Answer 26

@missMob @nonamenever @kc_kennylau please delete comments (: