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Summary: Concordia College
Math 105
Fall 2010
Exploring Mathematics
Samantha Briggs, Ellen Kramer, and Jessie Lenarz
Contents
1 Preliminaries 1
1.1 Fractions ................................................................................. 1
1.2 Percentages ............................................................................. 5
Taxes ................................................................................. 7
Discounts ........................................................................... 7
1.3 Logarithms .............................................................................. 9
1.4 Counting ................................................................................. 11
Permutations and Combinations .......................................... 14
2 Taxicab Geometry 20
2.1 Taxicab Distance ..................................................................... 21
2.2 Taxicab Circles ........................................................................ 26
2.3 Taxicab Applications ................................................................ 34
2.4 Taxicab Lines........................................................................... 41
2.5 Taxicab Triangles..................................................................... 48
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