SOLUTION: Carol invested $12,000 for one year, part at 10% annual interest and the balance at 12% annual interest. After the one year she earned $1420 in interest. How much was invested at e

Algebra.Com
Question 157585: Carol invested $12,000 for one year, part at 10% annual interest and the balance at 12% annual interest. After the one year she earned $1420 in interest. How much was invested at each rate?
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
.12X+.10(12,000-X)=1,420
.12X+1,200-.10X=1,420
.02X=1,420-1,200
.02X=220
X=220/.02
X=11,000 INVESTED @ 12%
12,000-11,000=1,000 INVESTED @ 10%
PROOF:
.12*11,000+.10*1,000=1.420
1,320+100=1,420
1,420=1,420

RELATED QUESTIONS

the total interest earned after one year Php 100 000 is invested, part of 6% annual... (answered by ikleyn)
the total interest earned after one year Php 100 000 is invested, part of 6% annual... (answered by greenestamps)
Sam invested $7,500 for one year, part at 12% annual interest and the rest at 10% annual... (answered by josmiceli)
Please help me solve this problem. Calvin invested $7500 for one year, part at 12%... (answered by solver91311)
calvin invested $7500 for one year, part at 12% annual interest and the rest at 10%... (answered by Earlsdon)
Calvin invested $7500 for one year, part at 12% annual interest and the rest at 10%... (answered by checkley77)
Egbert invested $5,000 for one year, part at 9% annual interest and the rest at 12%... (answered by mananth)
A girl invested $10,000 for one year, part at 8% annual interest and the rest at 12%... (answered by addingup)
What is the total interest earned after one year when $100,000 is invested, part at 6%... (answered by jim_thompson5910)