Continuous Compound Interest Formula

Question 1

An amount of $1,240.00 is deposited in a bank paying an annual interest rate of 2.85 %, compounded continuously. Find the balance after 2½ years.

Solution

Use the continuous compound interest formula, A = Pe rt, with P = 1240, r = 2.85/100 = 0.0285, t = 2.5. Therefore,

Solution to Question 1

So, the balance after 3 years is approximately $1,331.57.



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