EXPONENTIAL FUNCTIONS Compound Interest (Page 4 of 5)

Now let's assume we invest $500 at 6% compounded monthly, and want to know how long until the account balance doubles. Enter A=1000, P=500, R=0.06 and N=12. Then move the cursor to the line for T. Enter a guess for T, say 5. Do not press ENTER! Leave the cursor on this line and press ALPHA SOLVE.

1000 ENTER key. Down arrow key. Down arrow key. Down arrow key.

5 ALPHA SOLVE key.

Calculator screen image. Calculator screen image.

The value that appears next to T after doing this is the solution to the equation. Therefore, the time required for the principle to double is approximately 11.6 years.

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