I've already done over half of the problem. It's pretty long and the thing that really sucks is that I have three chances to get a correct answer before I have to restart with another similar problem so i'd really appreciate someone that knows what they're doing here to help me out.
The problem goes:
A toy tractor is sold for $263 in 1979 and was sold again in 1985 for $416. Assume that the growth V of the collector's item was exponential.
work done so far--
k=0.076
V(t)=263e^0.076t
The part that I need help with is this:
Q: Find the amount of time after which the value of the toy tractor will be $4,171
*the answer is not (36.2)
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Answers & Comments
Your k looks good...but you rounded it...if you keep all the decimals all the way thru you get...
4171=263e^kt
t = 36.1644777
Not sure how many decimal points to keep...
Does the question say? Seems like you did it right...
k = 0.07642
4171 = 263 * e^(0.07642t)
4171/263 = e^(0.07642t)
ln[4171/263] = ln[e^(0.07642t)]
ln[4171/263] = 0.07642t
ln[4171/263]/0.07642 = t
36.1645 = t