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Mortgages and Seashells: An Application of Linear Functions

Discover a useful linear equation that can help you calculate the time it takes to pay off a loan, using the example of a $10,000 loan with 0.5% monthly interest and $500 monthly payments.

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Mortgages and Seashells: An Application of Linear Functions

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  1. Mortgages and Seashells

  2. 1. Iterating Linear Functions

  3. A Useful Linear Function

  4. A General Financial Formula

  5. An Application Suppose you borrowed $10,000 from a bank that charged .05% interest per month and would like to make payments of $500 per month. How long would it take to pay off the loan?

  6. -10000, B(n) = 0

  7. 2. Iterating Geometric Transformations

  8. Rotate thru -90

  9. Dilate about the origin by a factor of .618

  10. Translate over 1, up 1

  11. Rotate thru -90

  12. Dilate about the origin by a factor of .618

  13. Translate over 1, up 1

  14. The Golden Spiral

  15. Golden Spiral?

  16. 3. Iterating Complex Linear Functions

  17. 3. Complex Linear Functions

  18. The Golden Rectangle Function

  19. Putting DeMoivre’s Theorem to Work

  20. Problem: This gives complex numbers as a function of a real variable. How do you plot g(x)? Need to plot ( real[g(x)] , imaginary[g(x) ) for x = 0 to 20 Mathematica to the rescue!

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