Algebra
posted by Kevin on .
Ray and Stella are both given jobs by the same company. Ray is to be paid a basic salary of $3000 each month. He will get a raise of $100 after the first month and every month thereafter he will get a raise of $100 more than the preceding month. Stella will be paid a basic salary of $1500 for every halfmonth. At the end of the first halfmonth she will get a raise of $25 and for every halfmonth thereafter she will get a raise of $25 more than the preceding halfmonth. At the end of the year Stella will have made $______ more than Ray.

in the nth month, ray gets 3000+100(m1) = 2900 + 100m
in the nth halfmonth, stella gets 1500 + 25(n1) = 1475 + 25n
The year has 12 months and 24 halfmonths.
during the year,
ray makes 12/2 (2900 + 2900 + 11*100) = $41,400
stella makes 24/2 (1475 + 1475+23*23) = $41,748