By Jules Molk (ed)
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Extra info for Encyclopédie des sciences mathématiques, tome IV-volume 2
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23 months. The same result is obtained with Excel’s NPER function as shown below. 23 months. 1−36 Mathematics for Business, Science, and Technology, Third Edition Copyright © Orchard Publications Solutions to End-of-Chapter Exercises 5. a. 2 – 5 + 5 – 4 × 1 × 6 – 5 + 25 – 24 – 5 + 1 x 1 = --------------------------------------------------- = ------------------------------------ = ---------------- = – 2 2 2 2×1 2 –5–1 – 5 – 25 – 24 –5– 5 –4×1×6 x 2 = -------------------------------------------------- = ----------------------------------- = ---------------- = – 3 2 2 2×1 b.
Also, the projection on the y-axis shows that at this break-even point, the generated revenue is approximately $3, 500 . This procedure is known as graphical solution. A graphical solution gives approximate values. We will now proceed to find the so-called analytical solution. This solution will produce exact values. * We assume that the reader has become proficient with the properties which we discussed in the previous chapter, and henceforth, the details for simplifying or rearranging an equation will be omitted.
Exponentiation 3. Multiplication and Division 4. Addition or Subtraction • An algebraic equation is an equality that contains one or more unknown quantities, normally represented by the last letters of the alphabet such as x, y, and z. • Solving an equation means finding the value of the unknown quantity that will make the equation an equality with no unknowns. • The same number may be added to, or subtracted from both sides of an equation. • Each side of an equation can be multiplied or divided by the same number.