A small software corporation borrowed $305,000 to expand its software line. The corporation borrowed some of the money at 3%, some at 4%, and some at 5%. Use a system of equations to determine how much was borrowed at each rate when the annual interest was $12,100 and the amount borrowed at 4% was 2 1/2 times the amount borrowed at 3%. Solve the system using matrices.

amount borrowed at 3%	$
amount borrowed at 4%	$
amount borrowed at 5%	$

amount borrowed at 3%$ amount borrowed at 4%$