# Continuously Compounding Interest with Functions

I am in Pre-Calc and we are covering the number e and the function e^x. I do not understand how to compound continuously. Please explain how to do this. Here is my problem: Suppose you invest $1.00 at 6% annual interest. Calculate the amount that you would have after one year if the interest is compounded continuously.

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#### Solution Preview

To understand the concept of continuous compound, let us start from scratch.

rate of interest = r% per annum

Principal = P

Time = t years

Interest is compounded annually:

Amount

A = P*(1+r/100)^t

If interest is compounded half yearly,

A = ...

#### Solution Summary

Continuously Compounding Interest is investigated. The solution is well explained.

$2.19