SOLUTION: I need help on this question:
A total of $30,000 is invested in two accounts paying 3% and 4% annual intrest. The combined annual interest is $1020
A. Write a system of linea
Algebra.Com
Question 137785: I need help on this question:
A total of $30,000 is invested in two accounts paying 3% and 4% annual intrest. The combined annual interest is $1020
A. Write a system of linear equations that represent the situation.
B. How much of the $30,000 is invested in each account?
Thank you.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let x, y = amounts invested
.
(1) x+y = $30,000,,,,,x=30,000-y
.
(2) .03x +.04y =1020
.
substitute (1) into (2)
.
.03(30,000-y) + .04y = 1020
.
900 - .03y +.04y = 1020
.
.01y = 120
.
y= $ 12,000,,,,,,,,x=30,000-12,000= $ 18,000
.
check,,,,.03(18,000) + .04(12,000) = 540 +480 = 1020,,,,,,ok
RELATED QUESTIONS
A total of 10,000 is invested in two funds paying 5% and 7% annual intrest. the combined... (answered by rfer)
Could you please help me solve this problem?-
A total of 10,000 is invested in two funds (answered by MathLover1)
A total of $4100 is invested into two accounts paying 3% and 5% annual interest.... (answered by checkley79)
A total of $3800 is invested into two accounts paying 4% and 7% annual interest. In one... (answered by mananth)
a total of 10000 is invested in two funds paying 5% and 7% annual intrest. The combined... (answered by mananth)
A total of $18,000 is invested in two simple intrest accounts. On one of the accounts... (answered by checkley71)
A total of $16,000 is invested in two individual retire-ment accounts paying 5% and 6%... (answered by mananth)
I need help making a system of equations based on a word problem, this is the problem:... (answered by Edwin McCravy)
Samantha invests a total of $25,000 in two accounts paying 7% and 4% annual interest,... (answered by Boreal)