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  1. PC

    Shares

    Ah. Could be from an old MIS paper. They used to distinguish between "dividend" and "yield". Dividend was related to face value and Yield was related to market value. In the General course now, we just need to know "dividend yield".
  2. PC

    Shares

    There are a couple of terms here to remember. The face value of a share is the nominal amount that is literally written on the share. In this case the face value of the share is 50 cents. The market value of a share is the price which someone might be willing to pay for that share. In this...
  3. PC

    Maths Comp 2005 Answers

    Answers Junior Section 1 B 7 E 13 E 19 B 25 C 2 E 8 D 14 D 20 A 26 32 3 E 9 A 15 D 21 D 27 60 4 B 10 B 16 C 22 B 28 7 5 A 11 C 17 E 23 A 29 8 6 C 12 B 18 C 24 C 30 13 Intermediate Section 1 E 7 E 13 A 19 E 25 C 2 B 8 E 14 B 20 A 26 80 3 A 9 B 15 E 21 C 27 196 4 B 10 D 16...
  4. PC

    Sonny Bill Williams leaves Bulldogs for France

    It's all cyclical. Every club have their ups and downs. Look at Manly! Or the Roosters - this time last year they were last! So at the moment, Canterbury are on the way down. Tough it out mate.
  5. PC

    Multi Stage Events Help Pls.

    Don't forget the usefulness of the Probability of Complementary Events. You've already worked out P(rain on 3 days) = 1/64 Now, P(rain on 2 days) = 3 x (3/4 x 1/4 x 1/4) = 9/64 So, P(rain on at most 1 day) = 1 – P(rest) = 1 – P(rain on 2 or 3 days) = 1 – (1/64 + 9/64) = 27/32
  6. PC

    Probability.

    You could of course use a tree diagram to do the question. You'll find two branches where I and J take up the positions out of the 20 branches, which gives the answer of 2/20 or 1/10. But there comes a point where making a tree diagram becomes impractical. This is where you'd opt for the...
  7. PC

    possible to get a uai of 80 + if general maths is done?

    As someone once said to me, 100 always scales to 100. So if you do well in the exams, you'll always get a good UAI. Bottom line is ... do the very best you can do. Everything else is outside your control, so there's not much point stressing about it.
  8. PC

    Permutations question

    PERFECT working would be something like: (a) Number of ways = 5! x 4! = 2880 (b) Number of ways = 4! x 3! x 3! = 864 In other words, make sure your answers are labelled clearly using the nomenclature of the question (i.e. (i), (ii), (a), (b), etc). State clearly and briefly what you're trying...
  9. PC

    Velocity with respect to displacement

    Try integrating with respect to t. We know that a = –10 Since initial velocity is 12 m/s, we have v = –10t + 12, or v = 12 – 10t. Since the particle starts at the origin, we have x = –5t2 + 12t. Don't forget the simple stuff!
  10. PC

    Your top 25 videogames of all time

    Clearly you lot need to get out more. It does say "of all time". 1. Pac Man 2. Tetris 3. Super Mario Bros 4. Galaga 5. Lode Runner
  11. PC

    Pack Man

    The original name was actually Puckman!
  12. PC

    annunities!

    Loans are ALWAYS present value questions. The amount borrowed is the present value, and you always use the big formula. Some questions will say something like "what lump sum invested now". They're present value questions. The formula you use will depend on the information given in the question.
  13. PC

    Urgent help! Area of sector

    Yes, provided that theta is in degrees.
  14. PC

    Need solutions for Cambridge 3U Year 11 Textbook

    EXERCISE 8H 7 (a) (a - b)2 = a2 - 2ab + b2 = a2 + 2ab + b2 - 4ab = (a + b)2 - 4ab 7 (b) (i) a + b = 3 ab = 1 (a - b)2 = 32 - 4.1 = 5 (ii) a + b = -5 ab = -7 (a - b)2 = (-5)2 - 4.-7 = 53 (iii) a + b = 7/3 ab = 2/3 (a - b)2 = (7/3)2 - 4(2/3) = 25/9 7 (c) (i) √5 (ii) √53 (iii) 5/3 13 (a) a + b...
  15. PC

    Need solutions for Cambridge 3U Year 11 Textbook

    EXERCISE 8F 12 (a) y = 2x2 - 7x + 4 dy/dx = 4x - 7 We need the slope of the tangent to be 1 .: 4x - 7 = 1 4x = 8 x= 2 When x = 2, y = -2 At (2,-2), b = -4 12 (b) y = 2x2 + 3x + 1 dy/dx = 4x + 3 Gradient of tangent = -a/b = -2/1 = -2 .: 4x + 3 = -2 x = -5/4 When x = -5/4, y = 3/8 At (-5/4,3/8)...
  16. PC

    IMPORTANT: Test tomorrow, 1 Q

    This stuff is really strange at first but it's quite simple. Four steps. 1. Write down the MEASUREMENT. 2. Write down the PRECISION ... how accurate is the measuring device? How many decimal places? To nearest whole number? To nearest 10? Stuff like that. 3. Write down the ABSOLUTE ERROR ...
  17. PC

    Gst

    Another way ... The total amount is $123.75. This includes the cost of the meal as well as the 10% GST charge. The cost is 100% of the cost. The GST is 10% of the cost. So the total amount is 100 + 10 = 110% of the cost. Now 110% of cost = $123.75 So 1% of cost = 123.75 ÷ 110 = 1.125 Therefore...
  18. PC

    Present Value

    Isn't this just a normal present value question? N = M[ (1+r)n–1 / r(1+r)n ] = 700[ (1+0.0075)36–1 / 0.0075(1+0.0075)36 ] = 700 x 31.44680525 = $22 012.76
  19. PC

    depreciation and subject??

    (i) S = Vo – Dn Vo – Dn = S Vo = S + Dn (ii) S = Vo – Dn S + Dn = Vo Dn = Vo – S D = [Vo – S]/n (iii) Just in case you need the other possibility ... S = Vo – Dn S + Dn = Vo Dn = Vo – S n = [Vo – S]/D Hope this helps. :/
  20. PC

    Help Please

    1/a + 1/b = 1/8 b/ab + a/ab = 1/8 (a + b)/ab = 1/8 Now cross multiply: 8(a + b) = ab 8a + 8b = ab 8a = ab – 8b 8a = b(a – 8) .: b = 8a/(a – 8) So there's an equation for b in terms of a. You can substitute any value in for a and get a value for b. If a = 1, b = 8(1)/(1 – 8) = 8/-7 = -8/7 If a...
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