– 3 Surface area of sphere = 4 π r 2 1 Volume of cone = – π r2h l 3 h Curved surface area of cone = π rl r In any triangle ABC Area of triangle = 1 – 2 C ab sin C a b b a c Sine rule ––––– = ––––– = ––––– sin A sin B sin C A c B Cosine rule a2 = b2 + c2 – 2bc cos A The Quadratic Equation The solutions of ax2 + bx + c = 0‚ where a ≠ 0‚ are given by – b ± √ (b2 – 4ac) ––––––––––––––– x= 2a (02) WMP/Jun14/4365/1H Do not write outside the box 3 Answer all questions in the spaces
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Watching television 5 Number of hours 4 Playing games 3 2 1 0 Eve Frank Gok Hamza (2 marks) 1 (b) Who watched television for 5 hours? Answer ...................................................................... 1 (c) Who spent more time watching television than playing games? Answer
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Business Decisions Page 475 # 20 A‚ B‚ & C A – Jamie and Alice’s combined housing expense ratio is 20.6% B – Jamie & Alice’s total obligations ratio is 49.6% Total obligations ration (TOR) Total Monthly Financial Obligations (TMFO) Monthly Gross Income (MGI) TMFO = $2811+$2002=$4813 C – Jamie and Alice would not qualify for a conventional nor an FHA mortgage. Page 585 #33 – Replacing the Asset A‚B‚C‚ & D A – The annual depreciation for the original
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Part A Q2-Maths Assignment 2012‚ Mrs Pillai Lvl 1 Irrational numbers are numbers that are neither whole numbers nor ratios of whole numbers. Irrational numbers are real numbers in the sense that they appear in measurements of geometric objects--for example‚ the number pi (II). However‚ irrational numbers cannot be represented as decimals‚ unlike rational numbers‚ which can be expressed either as finite decimals or as infinite decimals that eventually follow a repeating pattern. By contrast‚ irrational
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1. Solve a. e^.05t = 1600 0.05t = ln(1600) 0.05t = 7.378 t = 7.378/.05 t = 147.56 b. ln(4x)=3 4x = e^3 x = e^3/4 x = 5.02 c. log2(8 – 6x) = 5 8-6x = 2^5 8-6x = 32 6x = 8-32 x = -24/6 x = -4 d. 4 + 5e-x = 0 5e^(-x) = -4 e^(-x) = -4/5 no solution‚ e cannot have a negative answer 2. Describe the transformations on the following graph of f (x) log( x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example‚ vertical shift
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| 44‚56 | 5 | PART B i. 5 Family Monthly Income and Allocation ii. Comparison of 5 Family Monthly Income and Allocation iii. Education and Recreation Categories For Six Families iv. Mean and Standard Deviation | 7‚88910‚11 | 6 | PART C i. Weightage of Monthly Income for My Family and My Five Friends Pie Chart‚ Bar Chart and Ratio Form ii. Change in Monthly Income | 12‚1313 | 7 | Further Explorations | 14‚15‚16 | 8 | Reflection | 17 | INTRODUCTION The Household Expenditure
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Savings Bond Adapt the concepts and equations of compound interest to cases of compound growth Calculate the payment on any date that is equivalent to one or more payments on other dates Calculate the economic value of a payment stream 8.6 ● Appendix 8A: Instructions for Specific ● ● ● ● ● EXAMPLES OF COMPOUND INTEREST are easy to find. If you obtain a loan to purchase a car‚ interest will be compounded monthly. The advertised interest rates on mortgage loans are semiannually
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save a lot of digging. What is x? So‚ if you walk x paces north‚ then 2x+4 paces east‚ you have moved roughly east northeast to a distance of 2x+6 paces. This is a right angle‚ with 2x+6 on the hypotenuse or line c‚ so we must solve using the Pythagorean Theorem: a² + b² = c² add in the values (x)² + (2x+4)² = (2x+6)² multiply inside the parenthesis x² + 4x² + 16x + 16 = 4x² + 24x + 36 subtract 4x² + 24x + 36 from both sides x² - 8x - 20 = 0 factor the quadratic equation (x -10)(x
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Choices: 1. What is the average of A‚ B‚ C? a. ABC/3 c. 3(A+B+C)/.3 b. (A+B+C)/3 d. ABC/A+B+C 2. Which of the following has the LEAST Numerical value? a. 11/12 b. 6/8 c. 5/7 d. ¾ 3. If 2 apples cost P25.00‚ how many apples can be purchased for P100.00? a. 8 aplles c. 2 dozens b. ½ dozen d. 1 ½ dozens 4. If 2 tablespoons= 1 liquid oz.‚ and 5 tablespoons = ¼ cup‚ then‚ how many liquid ounces are there in one cup? a. 4 ounces c. 16 ounces b. 10 ounces d. 24 ounces
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is an isosceles triangle. By that logic‚ ∠O=∠P’. Now‚ I looked at the triangle that is already drawn in the above figure‚ ΔAOP. We know that this triangle is also isosceles because OP=AP. By that logic‚ ∠A=∠O. Using the law of cosines c^2=a^2+b^2-2abcos(C)‚ which works for any triangle‚ I assigned θ to ∠O and determined that cos(θ)=1/(2*OP). Then‚ using the law of sines (insert law of sines here)‚ sin(θ)/1=sin(180-2θ)/OP’ OP’=sin(180-2θ)/sin(θ) OP’=sin(2θ)/sin(θ) OP’=2cos(θ) But because
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