Everything Maths Grade 12

4.4 CHAPTER 4. FINANCE Time Repayment Interest Com- ponent Capital Com- ponent Capital Outstand- ing 0 R 190 000, 00 1 R 1 709, ...

CHAPTER 4. FINANCE 4.4 a small increase in repayment amounts can significantly increase the speed at which we are paying off the ...

4.4 CHAPTER 4. FINANCE n = 30× 12 = 360 months i = 0, 075 ÷ 12 = 0, 00625 Step 3 : Solve the problem R960 000 = x[1− (1 + 0,0062 ...

CHAPTER 4. FINANCE 4.5 off. In other words, all the repayments we are still going to make in thefuture will exactly pay off Y. T ...

4.5 CHAPTER 4. FINANCE Equations EMCAO Present Value - simple Future Value - simple Solve for i Solve for n      = P (1 + ...

CHAPTER 4. FINANCE 4.5 More practice video solutions or help at http://www.everythingmaths.co.za (1.) 01e5 (2.) 01e6 (3.) 01e7 ( ...

Factorising Cubic Polynomials 5 5.1 Introduction EMCAP In Grades 10 and 11, you learnt how to solve different types of equations ...

CHAPTER 5. FACTORISING CUBIC POLYNOMIALS 5.2 QUESTION Use the Factor Theoremto determine whether y− 1 is a factor of f (y) = 2y^ ...

5.3 CHAPTER 5. FACTORISING CUBIC POLYNOMIALS Since g(−4) = 0, y + 4 is a factor of g(y) = 5y^4 + 16y^3 − 15 y^2 + 8y + 16. 5.3 F ...

CHAPTER 5. FACTORISING CUBIC POLYNOMIALS 5.3 This is a set of three equations in three unknowns. However, we know that B, D and ...

5.3 CHAPTER 5. FACTORISING CUBIC POLYNOMIALS Example 4: Factorisation of CubicPolynomials QUESTION Use the Factor Theoremto fact ...

CHAPTER 5. FACTORISING CUBIC POLYNOMIALS 5.4 More practice video solutions or help at http://www.everythingmaths.co.za (1.) 01eh ...

5.4 CHAPTER 5. FACTORISING CUBIC POLYNOMIALS Step 3 : Factorise fully 6 x^2 + 7x− 3 can be further factorised to (2x + 3)(3x− 1) ...

CHAPTER 5. FACTORISING CUBIC POLYNOMIALS 5.4 − 2 x^2 ) So x^3 − 2 x^2 − 6 x + 4 = (x + 2)(x^2 − 4 x + 2). x^2 − 4 x + 2 cannot b ...

5.4 CHAPTER 5. FACTORISING CUBIC POLYNOMIALS A challenge: Determine the values of p for which the function f (x) = 3p^3 − (3p− ...

Functions and Graphs 6 7.1 Introduction EMCAT In Grades 10 and 11 you learned about linear functions and quadratic functions, as ...

6.3 CHAPTER 6. FUNCTIONS AND GRAPHS 1 − 2 − (^12) 2 y x � � Figure 6.1: Graph of x^2 +y^2 = 4 (d) x^2 +y^2 = 4 The table gives ...

CHAPTER 6. FUNCTIONS AND GRAPHS 6.4 6.4 Graphs of InverseFunctions In earlier grades, you studied various types of functions and ...

6.4 CHAPTER 6. FUNCTIONS AND GRAPHS Inverse Function ofy=ax+q EMCAX The inverse function of y = ax +q is determined by solving f ...

CHAPTER 6. FUNCTIONS AND GRAPHS 6.4 By setting x = 0 we have that the y-intercept is yint=−qa. Similarly, by setting y = 0 we ha ...