View of /trunk/NationalProblemLibrary/UVA-FinancialMath/setFinancialMath-Sect10-AlgebraPrereqs/math114-0-20.pg

    1 ## 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 "extraAnswerEvaluators.pl"
   29 );
   30 
   31 TEXT(beginproblem());
   32 $showPartialCorrectAnswers = 1;
   33 
   34 $A = random(2,12,1);
   35 $B = random(2,12,1);
   36 $C = random(2,12,1);
   37 $D = random(2,12,1);
   38 $E = random(2,12,1);
   39 
   40 TEXT(EV2(<<EOT));
   41 Find all values of  \( x \) that satisfy the equation
   42  \[$A = \frac{$B x + $C}{$D x + $E}.\]
   43 List the values below, separated by commas.
   44 $PAR
   45 Values of \(x\) =  \{ans_rule(25) \}
   46 $BR
   47 EOT
   48 
   49 $ans = ($C-$A*$E)/($A*$D-$B);
   50 ANS(num_cmp($ans, tol=>.001));
   51 
   52 
   53 ENDDOCUMENT();        # This should be the last executable line in the problem.