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| 1 : | gage | 5 | ## DESCRIPTION |
| 2 : | ## Financial mathematics: algebra prerequisites | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ## KEYWORDS('financial mathematics', 'algebra') | ||
| 6 : | ## JJH tagged this problem. | ||
| 7 : | |||
| 8 : | ## DBsubject('Financial Mathematics') | ||
| 9 : | ## DBchapter('Introduction to Interest') | ||
| 10 : | ## DBsection('Algebra Prerequisites') | ||
| 11 : | ## Date('5/22/2005') | ||
| 12 : | ## Author('Jeff Holt') | ||
| 13 : | ## Institution('UVA') | ||
| 14 : | ## TitleText1('Financial Mathematics') | ||
| 15 : | ## EditionText1('1') | ||
| 16 : | ## AuthorText1('Holt') | ||
| 17 : | ## Section1('1.0') | ||
| 18 : | ## Problem1() | ||
| 19 : | |||
| 20 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 21 : | |||
| 22 : | loadMacros( | ||
| 23 : | "PG.pl", | ||
| 24 : | "PGbasicmacros.pl", | ||
| 25 : | "PGchoicemacros.pl", | ||
| 26 : | "PGanswermacros.pl", | ||
| 27 : | "PGauxiliaryFunctions.pl" | ||
| 28 : | ); | ||
| 29 : | |||
| 30 : | TEXT(beginproblem()); | ||
| 31 : | $showPartialCorrectAnswers = 1; | ||
| 32 : | |||
| 33 : | $x=non_zero_random(-4,4,1); | ||
| 34 : | $y=non_zero_random(-4,4,1); | ||
| 35 : | $b1 = -$x + $y ; | ||
| 36 : | $b2 = 4*$x - 3*$y; | ||
| 37 : | |||
| 38 : | BEGIN_TEXT | ||
| 39 : | Use the substitution method to solve the system | ||
| 40 : | \[ | ||
| 41 : | \begin{array}{l} | ||
| 42 : | -x+y = $b1, \\ | ||
| 43 : | 4x-3y = $b2. \\ | ||
| 44 : | \end{array} | ||
| 45 : | \] | ||
| 46 : | $BR | ||
| 47 : | Your answer is | ||
| 48 : | $BR | ||
| 49 : | \(x=\) \{ans_rule(25) \} | ||
| 50 : | $BR | ||
| 51 : | \(y=\) \{ans_rule(25) \} | ||
| 52 : | $BR | ||
| 53 : | END_TEXT | ||
| 54 : | |||
| 55 : | $ans1 = $x; | ||
| 56 : | $ans2 = $y; | ||
| 57 : | |||
| 58 : | ANS(num_cmp($ans1)); | ||
| 59 : | ANS(num_cmp($ans2)); | ||
| 60 : | |||
| 61 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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