SOLUTION: The annual interest on an $8000 investment exceeds the interest earned on a $2000 investment by $392. The $8000 is invested at a 0.4% higher rate of interest than the $2000. What

Algebra.Com
Question 1049657: The annual interest on an $8000 investment exceeds the interest earned on a $2000 investment by $392. The $8000 is invested at a 0.4% higher rate of interest than the $2000. What is the interest rate of each investment?
Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
=
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=0.06.
  • Graphical form: Equation was fully solved.
  • Text form: (x+0.004)*8000-2000*x=392 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (x+0.004)*8000-2000*x=392 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-392+%29
It becomes .
Look at .
Expanded term 8000 by using associative property on %28x%2B0.004%29
It becomes .
Look at .
Replace constants in expression: highlight_red%28+8000%2A0.004+%29,highlight_red%28+-392+%29 with highlight_green%28+-360+%29
It becomes .
Look at .
Moved -360 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -360
It becomes .
Look at .
Eliminated similar terms highlight_red%28+8000%2Ax+%29,highlight_red%28+-2000%2Ax+%29 replacing them with highlight_green%28+%288000-2000%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+6000+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+6000%2Ax-360=0+%29 equivalent to 6000*x-360 =0
It becomes .
Result:
This is an equation! Solutions: x=0.06.

Universal Simplifier and Solver


Done!
RELATED QUESTIONS

The annual interest on an $8000 investment exceeds the interest earned on a $2000... (answered by Boreal)
The annual interest on an $18,000 investment exceeds the interest earned on an $8000... (answered by stanbon)
The annual interest on an $11,000 investment exceeds the interest earned on an $8000... (answered by greenestamps)
The annual interest on a $13,000 investment exceeds the interest earned on an $8000... (answered by richwmiller)
The annual interest on a $10,000 investment exceeds the interest earned on an $8000... (answered by macston)
The annual interest on a $9000 investment exceeds the interest earned on an $8000... (answered by advanced_Learner,MathTherapy)
The annual interest on a $9000 investment exceeds the interest earned on an $8000... (answered by ikleyn)
The annual interest on a $9000 investment exceeds the interest earned on an $8000... (answered by ankor@dixie-net.com)
The annual interest on a $5000 investment exceeds the interest earned on a $2000... (answered by ewatrrr)