ᱫᱷᱟᱯ ᱫᱷᱟᱯ: ᱟᱨᱟᱜ ᱨᱮ $100 ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱟᱭᱩᱵ

ᱡᱚᱡᱚᱢ

$100 ᱥᱟᱶ ᱥᱟᱵᱟᱜ ᱵᱮᱥ ᱨᱩᱞᱮᱴ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱢᱮᱱᱟᱜ-ᱟ ᱥᱮ? ᱟᱣᱥᱚᱛ ᱠᱷᱚᱨᱚᱪ ᱠᱚᱢ ᱟᱹᱜᱩ ᱞᱮᱠᱟᱱ ᱫᱚ ᱢᱤᱫ ᱦᱚᱸ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾ ᱚᱱᱟ ᱵᱟᱡᱮᱴ ᱫᱚ ᱟᱵᱚ ᱦᱟᱨᱟᱣ ᱫᱟᱲᱮᱭᱟᱜ ᱴᱟᱠᱟ ᱠᱟᱱᱟ; ᱟᱵᱚ ᱫᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱟᱨ ᱛᱤᱝᱜᱩ ᱱᱤᱭᱚᱢ ᱜᱮ ᱵᱟᱪᱷᱟᱣ ᱞᱮᱭᱟ᱾ ᱵᱟᱡᱤ ᱴᱟᱠᱟ $5, ᱵᱟᱡᱮᱴ ᱨᱮᱭᱟᱜ 5%, ᱚᱱᱟᱛᱮ ᱡᱷᱚᱛᱚ ᱵᱟᱨ ᱜᱮᱞ ᱦᱟᱹᱱᱤ ᱵᱟᱡᱤ ᱛᱤ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ᱾ −$50 ᱨᱮ ᱦᱟᱹᱱᱤ ᱥᱤᱢᱟᱹᱥᱴᱨᱮᱴᱮᱡᱤᱦᱟᱹᱱᱤ ᱥᱤᱢᱟᱹᱞᱟᱦᱟ ᱠᱷᱚᱱ ᱛᱷᱤᱠ ᱟᱠᱟᱱ ᱦᱟᱹᱱᱤ, ᱡᱟᱦᱟᱸ ᱨᱮ ᱥᱮᱴᱮᱨ ᱞᱮᱠᱷᱟᱱ ᱟᱯᱮ ᱥᱮᱥᱚᱱ ᱵᱚᱸᱫ ᱯᱮ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱟᱨ +$50 ᱨᱮ ᱡᱤᱛ ᱥᱤᱢᱟᱹᱥᱴᱨᱮᱴᱮᱡᱤᱡᱤᱛ ᱥᱤᱢᱟᱹᱞᱟᱦᱟ ᱠᱷᱚᱱ ᱛᱷᱤᱠ ᱟᱠᱟᱱ ᱞᱟᱵᱷ ᱡᱚᱠᱷᱟ, ᱡᱟᱦᱟᱸ ᱨᱮ ᱥᱮᱴᱮᱨ ᱞᱮᱠᱷᱟᱱ ᱟᱯᱮ ᱥᱮᱥᱚᱱ ᱵᱚᱸᱫ ᱯᱮ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, ᱱᱤᱛᱚᱜ ᱜᱮ ᱴᱷᱤᱠ ᱟᱠᱟᱱ᱾ 60 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱩᱬ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ; ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱟᱣᱥᱚᱛ ᱛᱮ ᱦᱟᱨᱟᱣᱚᱜ ᱴᱟᱠᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ 60 × $5 / 37 = $8.11᱾ ᱟᱵᱚ ᱫᱚ ᱡᱷᱚᱛᱚ $92 ᱥᱟᱶ ᱥᱮᱱᱚᱜ ᱞᱟᱹᱜᱤᱫ ᱟᱸᱫᱟᱡᱽ ᱞᱮᱭᱟ, ᱟᱨ ᱵᱟᱛᱟᱣ ᱞᱮᱠᱟᱱ ᱥᱚᱢᱵᱷᱟᱵᱱᱟᱜᱚᱱᱤᱛᱥᱚᱢᱵᱷᱟᱵᱱᱟᱢᱤᱫ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ, 0 ᱠᱷᱚᱱ 1 ᱟᱨᱵᱟᱝ 0% ᱠᱷᱚᱱ 100%᱾ ᱢᱤᱫ ᱮᱞ: 1/37 = 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱥᱟᱶ $20 ᱟᱨ $170 ᱛᱟᱞᱟ ᱨᱮ ᱡᱟᱦᱟᱸ ᱦᱚᱸ ᱛᱟᱦᱮᱸ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾

ᱜᱷᱩᱨᱟᱹᱣ 1–20

ᱟ ᱦ ᱦ ᱟ ᱟ 0 ᱦ ᱟ ᱟ ᱦ ᱟ ᱦ ᱦ ᱦ ᱟ ᱟ ᱦ ᱟ ᱦ ᱟ᱾ ᱜᱮᱞ ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, ᱟᱨᱮ ᱦᱮᱸᱫᱮᱵᱟᱡᱤᱦᱮᱸᱫᱮ18 ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱱᱣᱟᱨ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, ᱢᱤᱫ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →: +$50 − $45 − $5 = $0᱾ ᱵᱮᱞᱮᱱᱥ $100᱾ ᱜᱷᱩᱨᱟᱹᱣ 6 ᱨᱮ ᱡᱤᱨᱚ ᱫᱚ ᱢᱤᱫ ᱪᱤᱯᱴᱟᱠᱟᱪᱤᱯᱛᱷᱤᱠ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱪᱤᱱᱦᱟᱹ ᱴᱚᱠᱮᱱ, ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱪᱮᱠ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱦᱟᱨᱟᱣ ᱠᱮᱫᱟ, ᱟᱨ 1/37 ᱨᱮ ᱚᱱᱟ ᱫᱚ ᱤᱴᱤᱡ ᱞᱚᱜᱚᱱ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ᱾ ᱱᱚᱰᱮ ᱪᱮᱫ ᱦᱚᱸ ᱵᱤᱨᱟᱹᱞ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾ ᱵᱟᱨ ᱜᱮᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱭᱚᱢ ᱟᱵᱚ ᱵᱟᱨᱟᱵᱟᱨ ᱨᱮ ᱢᱮᱱᱟᱵᱚᱭᱟ᱾

ᱜᱷᱩᱨᱟᱹᱣ 21–36

ᱦ ᱦ ᱦ ᱦ ᱦ ᱟ ᱦ ᱦ ᱟ ᱦ ᱦ ᱟ ᱦ ᱦ ᱦ ᱦ᱾ ᱮᱦᱚᱵ ᱨᱮ ᱢᱚᱬᱮ ᱦᱮᱸᱫᱮ, ᱡᱚᱛᱚ ᱢᱤᱫ ᱥᱟᱶ ᱜᱮᱞ ᱯᱮ: ᱯᱮ ᱟᱨᱟᱜ, ᱜᱮᱞ ᱯᱮ ᱦᱮᱸᱫᱮ, +$15 − $65 = −$50᱾ ᱵᱮᱞᱮᱱᱥ $50᱾ ᱱᱚᱶᱟ ᱦᱟᱹᱴᱤᱧ ᱨᱮ ᱜᱮ ᱦᱚᱲ ᱠᱚ ᱟᱠᱚᱣᱟᱜ ᱵᱟᱡᱤ ᱠᱚ ᱵᱚᱫᱚᱞᱟ, ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱵᱟᱨ ᱫᱷᱟᱣ ᱠᱚ ᱪᱟᱲᱦᱟᱣᱟ ᱟᱨ ᱨᱚᱝ ᱠᱚ ᱵᱚᱫᱚᱞᱟ᱾ 16 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ 13 ᱥᱮ ᱚᱱᱟ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱦᱮᱸᱫᱮ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱫᱚ 1% ᱠᱷᱚᱱ ᱠᱚᱢ; ᱛᱮᱦᱮᱧ ᱧᱤᱫᱟᱹ ᱫᱚ ᱡᱟᱦᱟᱸ ᱥᱟᱶ ᱦᱚᱸ ᱦᱩᱭ ᱞᱟᱹᱜᱤᱫ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ᱾ ᱮᱦᱚᱵ ᱠᱷᱚᱱ ᱟᱵᱚ $50 ᱦᱟᱹᱱᱤ ᱨᱮ, ᱦᱟᱹᱱᱤ ᱥᱤᱢᱟᱹ ᱫᱚ ᱜᱷᱩᱨᱟᱹᱣ 36 ᱨᱮ ᱥᱮᱴᱮᱨᱚᱜ-ᱟ, ᱟᱨ ᱟᱵᱚ ᱛᱤᱝᱜᱩ ᱜᱚᱲᱚᱣᱟᱹᱱ ᱟᱵᱚᱣᱟ᱾

ᱜᱷᱩᱨᱟᱹᱣ 37–60, ᱟᱵᱚ ᱵᱟᱹᱱᱩᱜᱽ ᱠᱟᱛᱮ

ᱟ ᱦ ᱟ ᱦ, ᱛᱟᱭᱚᱢ ᱟ ᱟ ᱦ ᱟ 0 ᱟ ᱦ ᱟ ᱟ ᱦ ᱟ ᱟ ᱦ ᱦ ᱟ ᱟ ᱦ ᱟ ᱦ ᱟ᱾ ᱜᱮᱞ ᱯᱩᱱ ᱟᱨᱟᱜ, ᱟᱨᱮ ᱦᱮᱸᱫᱮ, ᱢᱤᱫ ᱡᱤᱨᱚ: ᱡᱩᱫᱤ ᱟᱵᱚ ᱛᱟᱦᱮᱸ ᱠᱟᱱ ᱛᱟᱦᱮᱸᱱ ᱠᱷᱟᱱ, +$70 − $45 − $5 = +$20 ᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ 60 ᱨᱮ $70 ᱵᱮᱞᱮᱱᱥ᱾ ᱞᱟᱭᱤᱵᱷ ᱴᱮᱵᱩᱞ ᱨᱮ ᱟᱭᱟᱝ ᱜᱮᱞ ᱛᱩᱨᱩᱭ ᱜᱷᱩᱨᱟᱹᱣ ᱫᱚ ᱡᱷᱚᱛᱚ 45 ᱢᱤᱱᱤᱴ ᱠᱟᱱᱟ᱾ ᱟᱵᱚ $50 ᱥᱟᱶ ᱥᱮᱱ ᱞᱮᱱᱟ, $50 ᱦᱟᱹᱱᱤ ᱨᱮ, 36 ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱜᱤᱫ ᱟᱸᱫᱟᱡᱽ −$4.86 ᱛᱩᱞᱟᱹ᱾ ᱜᱮᱞ ᱯᱮ ᱟᱨᱟᱜ, ᱵᱟᱨ ᱜᱮᱞ ᱵᱟᱨ ᱦᱮᱸᱫᱮ, ᱢᱤᱫ ᱡᱤᱨᱚ᱾

ᱪᱮᱫ ᱦᱩᱭ ᱞᱮᱱᱟ

45 ᱢᱤᱱᱤᱴ ᱨᱩᱞᱮᱴ ᱞᱟᱹᱜᱤᱫ ᱟᱵᱚ ᱡᱷᱚᱛᱚ $5 ᱮᱢ ᱞᱮᱫᱟ, ᱟᱨ ᱵᱟᱹᱲᱛᱤ $45 ᱠᱷᱟᱨᱟᱯ ᱵᱷᱟᱹᱜ᱾ 36 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱜᱮᱞ ᱯᱮ ᱟᱨᱟᱜ ᱫᱚ ᱟᱸᱫᱟᱡᱽ 17.5 ᱠᱷᱚᱱ ᱟᱹᱰᱤ ᱠᱚᱢ, ᱟᱨ ᱦᱮᱸᱫᱮ ᱠᱷᱚᱱ ᱟᱨᱮ ᱟᱨᱟᱜ ᱠᱚᱢ ᱫᱚ ᱡᱤᱨᱚ ᱞᱟᱦᱟ ᱨᱮ ᱜᱮ −$45 ᱠᱟᱱᱟ᱾ ᱟᱭᱩᱵ ᱫᱚ ᱣᱮᱨᱤᱭᱮᱱᱥᱜᱚᱱᱤᱛᱣᱮᱨᱤᱭᱮᱱᱥᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱷᱮᱨᱟᱣ ᱨᱮᱡᱟᱞᱴ ᱛᱤᱱᱟᱹᱜ ᱯᱟᱥᱱᱟᱣᱚᱜ-ᱟ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱥᱟᱯᱲᱟᱣ᱾ ᱥᱴᱨᱮᱴ ᱚᱯ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱹᱲᱛᱤ, ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱴᱷᱤᱠ ᱠᱮᱫᱟ; ᱫᱟᱢ ᱫᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ ᱠᱚ ᱴᱷᱤᱠ ᱠᱮᱫᱟ; ᱦᱟᱹᱱᱤ ᱥᱤᱢᱟᱹ ᱫᱚ ᱢᱩᱪᱟᱹᱫ ᱚᱠᱛᱚ ᱴᱷᱤᱠ ᱠᱮᱫᱟ᱾ ᱛᱟᱦᱮᱸ ᱞᱮᱱ ᱠᱷᱟᱱ ᱜᱷᱩᱨᱟᱹᱣ 60 ᱦᱟᱹᱵᱤᱡ $20 ᱨᱩᱣᱟᱹᱲ ᱧᱟᱢ ᱛᱟᱦᱮᱸᱫ ᱟᱵᱚᱭᱟ, ᱟᱨ ᱚᱱᱟ ᱫᱚ ᱛᱟᱦᱮᱸ ᱞᱟᱹᱜᱤᱫ ᱠᱟᱨᱚᱬ ᱫᱚ ᱵᱟᱝ ᱠᱟᱱᱟ: ᱨᱩᱣᱟᱹᱲ ᱦᱚᱸ ᱣᱮᱨᱤᱭᱮᱱᱥ ᱜᱮ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ, ᱟᱨ ᱚᱱᱟ ᱞᱟᱦᱟ ᱨᱮ ᱦᱮᱸᱫᱮ ᱫᱟᱹᱲ ᱦᱚᱸ᱾

ᱟᱵᱚ ᱪᱮᱫ ᱵᱟᱝ ᱞᱮ ᱠᱟᱹᱢᱤ ᱞᱮᱫᱟ

ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱵᱚᱫᱚᱞ (ᱚᱱᱟ ᱫᱚ ᱢᱤᱫ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱᱥᱴᱨᱮᱴᱮᱡᱤᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱᱢᱟᱨᱮ ᱨᱮᱡᱟᱞᱴ ᱞᱮᱠᱟ ᱛᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱵᱚᱫᱚᱞ ᱡᱟᱦᱟᱸᱱ ᱱᱤᱭᱚᱢ᱾ ᱱᱮᱜᱮᱴᱤᱵᱷ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱵᱟᱲᱦᱟᱣᱟ, ᱯᱚᱡᱤᱴᱤᱵᱷ ᱡᱤᱛ ᱛᱟᱭᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱠᱟᱱᱟ, ᱟᱨ ᱚᱱᱟ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵᱴᱟᱠᱟᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ, ᱫᱚᱦᱲᱟ ᱞᱟᱜᱟᱣ ᱡᱤᱛ ᱴᱟᱠᱟ ᱥᱮᱞᱮᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱦᱮᱱᱰᱮᱞ, ᱮᱠᱥᱚᱱ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱪᱟᱲᱦᱟᱣᱟ)᱾ ᱦᱮᱸᱫᱮ ᱫᱟᱹᱲ ᱛᱟᱭᱚᱢ ᱨᱚᱝ ᱵᱚᱫᱚᱞ (ᱚᱰᱥ ᱢᱤᱫ ᱜᱮ)᱾ “ᱯᱷᱟᱹᱞᱛᱩ ᱵᱟᱨᱟᱵᱟᱨ” ᱛᱟᱦᱮᱸ ᱠᱟᱛᱮ 60 ᱜᱷᱩᱨᱟᱹᱣ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱛᱟᱦᱮᱸ (ᱚᱱᱟ ᱫᱚ ᱦᱟᱹᱱᱤ ᱥᱤᱢᱟᱹ ᱫᱚᱦᱲᱟ ᱵᱚᱫᱚᱞ ᱠᱟᱱᱟ)᱾ “ᱵᱟᱝ ᱦᱮᱡ ᱟᱠᱟᱱ” ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱵᱟᱡᱤ (ᱢᱤᱫ ᱜᱮ ᱵᱟᱲᱛᱤ, ᱮᱴᱟᱜ ᱫᱷᱟᱹᱨᱚᱱ)᱾ ᱱᱚᱶᱟ ᱡᱚᱛᱚ ᱠᱷᱚᱱ ᱡᱟᱦᱟᱸ ᱢᱤᱫ ᱦᱚᱸ ᱟᱭᱩᱵ ᱨᱮᱭᱟᱜ ᱫᱷᱟᱹᱨᱚᱱ ᱵᱚᱫᱚᱞ ᱠᱟᱫ ᱛᱟᱦᱮᱸᱫᱟ, ᱢᱮᱱᱠᱷᱟᱱ ᱚᱱᱟᱨᱮᱭᱟᱜ ᱟᱸᱫᱟᱡᱽ ᱠᱷᱚᱨᱚᱪ ᱫᱚ ᱡᱟᱦᱟᱸ ᱦᱚᱸ ᱵᱟᱝ ᱵᱚᱫᱚᱞ ᱠᱟᱫ ᱛᱟᱦᱮᱸᱫᱟ᱾

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