Question 1039788: Whats an example of a quantity that grows or decays at a fixed rate. Solve by using logarithms.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! You're determined not to learn from it.
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Here's one.
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You buy a commemorative coin for $20. The value of the coin increases at a rate of 3.5% per year.
How much will the coin be worth in 15 years??
After how many years will the coin have doubled in value??
1 solutions
Answer 654551 by Alan3354(51549) About Me on 2016-06-30 17:59:36 (Show Source):
You can put this solution on YOUR website!
You buy a commemorative coin for $20. The value of the coin increases at a rate of 3.5% per year.
How much will the coin be worth in 15 years??
After how many years will the coin have doubled in value??
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You didn't spec a compounding period, so I'll use years.
If it's 3.5%/12 per month, the result would be different.
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FV = PV*(1 + r)^t --- FV = future value, PV = present value
FV = 20*(1 + 0.035)^15
FV =~ $33.507
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A gain of $13.50, a BFD
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After how many years will the coin have doubled in value??
FV = 2*PV*(1.o35)^t
40 = 20*1.035^t
2 = 1.035^t
ln(2) = t*ln(1.035)
t = ln(2)/ln(1.035)
t =~ 20.15 years
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