SOLUTION: How long does it take an investment to double if it grows according to the formula V=537e^.015t? Assume t is in years? (^ is used to show that e has been raised to the .015t power)

Question 106033This question is from textbook functions modeling change
: How long does it take an investment to double if it grows according to the formula V=537e^.015t? Assume t is in years? (^ is used to show that e has been raised to the .015t power). This question is from textbook functions modeling change

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
At time t=0, the investment is worth V=$537
When will it be worth 2($537)=$1074?

Substitute with the formula.
Divide by 537.
Natural log of both sides.
Divide by .015.
t=46.2 years

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