Investment Question
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A thought provoking question on investment:

You are investing P dollars at an annual interest rate of r compounded continuously for t years.
 

Formula for interest compounded continuously

A = balance (accumulated amount of money)
P = initial principal invested
r = rate of interest (as a decimal)
t  = the number of years

 

1.  Ask students to utilize the formula is a basic problem.

You are investing $10,000 at 6% interest for 10 year, compounded continuously.  Find the amount accumulated at the end of 10 years.  Round answer to nearest penny.

2.  Now for a more thought provoking question.

How long will it take for an investment of $15,000 at 5% interest compounded continuously to triple?  (Express answer to the nearest year.)