View of /trunk/NationalProblemLibrary/UVA-FinancialMath/setFinancialMath-Sect10-AlgebraPrereqs/math114-0-18.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 );
   29 
   30 TEXT(beginproblem());
   31 $showPartialCorrectAnswers = 1;
   32 
   33 $a = random(2,9,1);
   34 $b = random(2,4,1);
   35 $c = non_zero_random(-10,10,1);
   36 
   37 TEXT(EV2(<<EOT));
   38 Solve the equation \[\displaystyle \frac{$a}{x}+\frac{$b}{2x} = $c\] algebraically.
   39 
   40 $BR $BR \( x = \) \{ans_rule(20) \}
   41 $BR$BR
   42 EOT
   43 
   44 $ans = ($a + $b/2)/$c;
   45 ANS(num_cmp($ans, tol=>.001));
   46 
   47 ENDDOCUMENT();        # This should be the last executable line in the problem.