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# Algebra for Managerial Finance

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### Algebra for Managerial Finance

1. 1. Tai Tran
2. 2. Simultaneous Linear Equations ܽଵ ‫ ݔ‬൅ ܾଵ ‫ ݕ‬ൌ ܿଵ ܽଵ ܾଶ ‫ ݔ‬൅ ܾଵ ܾଶ ‫ ݕ‬ൌ ܿଵ ܾଶ൜ ⇒൜ ܽଶ ‫ ݔ‬൅ ܾଶ ‫ ݕ‬ൌ ܿଶ ܽଶ ܾଵ ‫ ݔ‬൅ ܾଶ ܾଵ ‫ ݕ‬ൌ ܿଶ ܾଵ ܽଵ ܾଶ ‫ ݔ‬൅ ܾଵ ܾଶ ‫ ݕ‬ൌ ܿଵ ܾଶ ܽଵ ܾଶ ‫ ݔ‬൅ ܾଵ ܾଶ ‫ ݕ‬ൌ ܿଵ ܾଶ⇒൜ ⇒൜ ܽଵ ܾଶ ‫ ݔ‬െ ܽଶ ܾଵ ‫ ݔ‬ൌ ܿଵ ܾଶ െ ܿଶ ܾଵ ܽଵ ܾଶ െ ܽଶ ܾଵ ‫ ݔ‬ൌ ܿଵ ܾଶ െ ܿଶ ܾଵ ܿଵ ܾଶ െ ܿଶ ܾଵ ܽଵ ܾଶ ‫ ݔ‬൅ ܾଵ ܾଶ ‫ ݕ‬ൌ ܿଵ ܾଶ ‫ݔ‬ൌ ܽଵ ܾଶ െ ܽଶ ܾଵ⇒ቐ ܿଵ ܾଶ െ ܿଶ ܾଵ ⇒ ‫ݔ‬ൌ ܿଵ ܾଶ െ ܽଵ ܾଶ ‫ݔ‬ ܽଵ ܾଶ െ ܽଶ ܾଵ ‫ݕ‬ൌ ܾଵ ܾଶܱ݊ ‫:ݎ݁ݐ݊݁ ,ݎ݋ݐ݈ܽݑ݈ܿܽܿ ݂ܿ݅݅ݐ݊݁݅ܿݏ ݋݅ݏܽܥ‬‫2 1 ݁݀݋ܯ ݁݀݋ܯ‬݄ܶ݁݊ ݁݊‫ܽ ݎ݋݂ ݏ݁ݑ݈ܽݒ ݎ݁ݐ‬ଵ݄ܶ݁݊ ‫ ݏݏ݁ݎ݌‬ൌ݄ܶ݁݊ ‫ܾ ݎ݋݂ ݐܽ݁݌݁ݎ‬ଵ , ܿଵ , ܽଶ , ܾଶ , ܽ݊݀ ܿଶ݄ܶ݁݊ ‫ ݏݏ݁ݎ݌‬ൌ ‫ݕ ݀݊ܽ ݔ ݎ݋݂ ݁ܿ݅ݓݐ‬
3. 3. Logarithm௫ ௕ ௔ ௕ଷ ଶ
4. 4. nth Root
5. 5. Hyperbola