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Algebra for Managerial Finance

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Simultaneous Linear Equations ܽଵ ‫ ݔ‬൅ ܾଵ ‫ ݕ‬ൌ ܿଵ ܽଵ ܾଶ ‫ ݔ‬൅ ܾଵ ܾଶ ‫ ݕ‬ൌ ܿଵ ܾଶ ൜ ⇒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 ܾଶ ܱ݊ ‫:ݎ݁ݐ݊݁ ,ݎ݋ݐ݈ܽݑ݈ܿܽܿ ݂ܿ݅݅ݐ݊݁݅ܿݏ ݋݅ݏܽܥ‬ ‫2 1 ݁݀݋ܯ ݁݀݋ܯ‬ ݄ܶ݁݊ ݁݊‫ܽ ݎ݋݂ ݏ݁ݑ݈ܽݒ ݎ݁ݐ‬ଵ ݄ܶ݁݊ ‫ ݏݏ݁ݎ݌‬ൌ ݄ܶ݁݊ ‫ܾ ݎ݋݂ ݐܽ݁݌݁ݎ‬ଵ , ܿଵ , ܽଶ , ܾଶ , ܽ݊݀ ܿଶ ݄ܶ݁݊ ‫ ݏݏ݁ݎ݌‬ൌ ‫ݕ ݀݊ܽ ݔ ݎ݋݂ ݁ܿ݅ݓݐ‬
Logarithm ௫ ௕ ௔ ௕ ଷ ଶ
nth Root
Hyperbola

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Algebra for Managerial Finance

  • 2. Simultaneous Linear Equations ܽଵ ‫ ݔ‬൅ ܾଵ ‫ ݕ‬ൌ ܿଵ ܽଵ ܾଶ ‫ ݔ‬൅ ܾଵ ܾଶ ‫ ݕ‬ൌ ܿଵ ܾଶ ൜ ⇒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 ܾଶ ܱ݊ ‫:ݎ݁ݐ݊݁ ,ݎ݋ݐ݈ܽݑ݈ܿܽܿ ݂ܿ݅݅ݐ݊݁݅ܿݏ ݋݅ݏܽܥ‬ ‫2 1 ݁݀݋ܯ ݁݀݋ܯ‬ ݄ܶ݁݊ ݁݊‫ܽ ݎ݋݂ ݏ݁ݑ݈ܽݒ ݎ݁ݐ‬ଵ ݄ܶ݁݊ ‫ ݏݏ݁ݎ݌‬ൌ ݄ܶ݁݊ ‫ܾ ݎ݋݂ ݐܽ݁݌݁ݎ‬ଵ , ܿଵ , ܽଶ , ܾଶ , ܽ݊݀ ܿଶ ݄ܶ݁݊ ‫ ݏݏ݁ݎ݌‬ൌ ‫ݕ ݀݊ܽ ݔ ݎ݋݂ ݁ܿ݅ݓݐ‬
  • 3. Logarithm ௫ ௕ ௔ ௕ ଷ ଶ