SOLUTION: John has two investments that produce a $150 income each month. If $1000 more is invested at 9% than at 10% per year, how much was invested at each percent? There were 12 months

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: John has two investments that produce a $150 income each month. If $1000 more is invested at 9% than at 10% per year, how much was invested at each percent? There were 12 months       Log On


   



Question 396765: John has two investments that produce a $150 income each month. If $1000 more is invested at 9% than at 10% per year, how much was invested at each percent? There were 12 months in that year,
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
If $1000 more is invested at 9% than at 10% per year
Let x and (x+1000) represent the amount at 10% and 9% respectively
question states*** $150/mo (interst over 12months)
.10x + .09(x+1000) = $1800
solving for x
.19x + 90 = 1800
.19x = 1710
x = $9000, amount invested at 10%. 10,000 at 9%
CHECKING our Answer***
$900 + $900 = $1800