pre-cal 40s slides november 13, 2007

9
Overgrown Redwood Log and Wildflowers The Natural Logarithm ... (for real this time)

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

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Page 1: Pre-Cal 40S Slides November 13, 2007

Overgrown Redwood Log and Wildflowers

The Natural Logarithm ...(for real this time)

Page 2: Pre-Cal 40S Slides November 13, 2007

Solve ...

Page 3: Pre-Cal 40S Slides November 13, 2007

Solve ...

Page 4: Pre-Cal 40S Slides November 13, 2007

Try these now ...

Page 5: Pre-Cal 40S Slides November 13, 2007

Try these now ...

Page 6: Pre-Cal 40S Slides November 13, 2007

Who wants to be a millionaire?

What is compound interest?

How does this formula "work"?

How much money will you have after 5 years if you invest $300.00 at 6% interest compounded annually? monthly?

Page 7: Pre-Cal 40S Slides November 13, 2007

The number e ...e =

... Source: e to 1 000 000 digits

Page 8: Pre-Cal 40S Slides November 13, 2007

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?

Page 9: Pre-Cal 40S Slides November 13, 2007