SOLUTION: a small corporation borrowed $500,000 to expand its product line. Some of the money was borrowed at 9%, some at 10% and some at 12%. How much was borrowed at each rate if the ann

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Question 44917: a small corporation borrowed $500,000 to expand its product line. Some of
the money was borrowed at 9%, some at 10% and some at 12%. How much was
borrowed at each rate if the annual interest was $52, 000 and the amount
borrowed at 10% was two and a half times the amount borrowed at 9%?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
x = amount borrowed at 9%
y = amount borrowed at 10%
z = amount borrowed at 12%

Annual interest charged at 9% =
Annual interest charged at 10% =
Annual interest charged at 12% =
Total annual interest = 52000

according to problem,


also,



multiply both sides of this equation by (-.12)


and the other equation was

add these equations

divide both sides by (-.08)

amount borrowed at 9%

amount borrowed at 10%

amount borrowed at 12%
check



OK

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