The document discusses compound interest and continuous compounding. It provides formulas for calculating the total value of an investment with a principal, interest rate, and time period when interest is compounded continuously. An example is worked out showing how to calculate the total value after 5 years of investing $300 at 6% interest compounded continuously. It also asks how long it would take for such an investment to double in value.

1. The Natural Logarithm ...
(for real this time)
Overgrown Redwood Log and Wildflowers

2. Solve ...

3. Solve ...

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6. Who wants to be a millionaire?
What is compound interest?
How does this formula quot;workquot;?
How much money will you have after 5 years if you invest
$300.00 at 6% interest compounded annually? monthly?

7. The number e ...
e=
...
Source: e to 1 000 000 digits

8. Who wants to be a millionaire?
It turns out that when interest is compounded continuously,
we use this formula to calculate the total value of the amount,
A, earned on the principal, P, after any period of time, t.
How much money will you have after 5 years if you invest
$300.00 at 6% interest compounded continuously?
If you invest $300.00 at 6% interest compounded
continuously how long will it take to double your money?