SOLUTION: $5850 is invested at 9.5% compounded continuously. How long will it take for the balance to reach $11700. Please round your answer to two decimal places, if necessary.

Question 1104667: $5850 is invested at 9.5% compounded continuously. How long will it take for the balance to reach $11700. Please round your answer to two decimal places, if necessary.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
P=Poe^rt is the formula, P principal end, Po principal beginning, r is rate (decimal) and t time in years
11700=5850*e^(.095*t)
divide by 5850 both sides
2=e^.095t
ln both sides
ln2=0.095 t
divide by 0.095 both sides
7.30 years. ANSWER
Rule of 70 would say doubling occurs when rate (per cent)*time=70
That is an approximation but holds here.

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