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# Pre-Cal 40S Slides November 13, 2007

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Some practice problems and introducing the number e and the natural log function.

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### Pre-Cal 40S Slides November 13, 2007

1. 1. The Natural Logarithm ... (for real this time) Overgrown Redwood Log and Wildflowers
2. 2. Solve ...
3. 3. Solve ...
4. 4. Try these now ...
5. 5. Try these now ...
6. 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. 7. The number e ... e= ... Source: e to 1 000 000 digits
8. 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?