SOLUTION: You invested ​$13000 in two accounts paying 2% and 6 % annual​ interest, respectively. If the total interest earned for the year was $380, how much was invested at ea

Algebra.Com
Question 1132497: You invested ​$13000 in two accounts paying
2% and
6 %
annual​ interest, respectively.
If the total interest earned for the year was
$380, how much was invested at each​ rate?

Found 2 solutions by addingup, Alan3354:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
Let the amount invested at 2% be x
Then, the amount invested at 6% is 13000 - x
.
0.02x + 0.06(13000 - x) = 380
0.02x + 780 - 0.06x = 380
-0.04x = -400
x = -400/-0.04 = divide, remember that -/- = + so you can ignore the - sign when you divide.
This will be the amount invested at 2%. Subtract the amount from 13000 to find out the amount invested at 6%.
.
Happy learning

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
"respectively" is superfluous in the statement.
--------
Some think it makes them appear intelligent to use it, but it's just the opposite.

RELATED QUESTIONS

you invested $15,000 in two accounts paying 2% and 4% annual interest, respectively. If... (answered by Alan3354)
You invested 14,000 in two accounts paying 6% and 9% annual interest, respectively. If... (answered by rfer)
You invested $7000 in two accounts paying 8% and 6% annual interest, respectively. If the (answered by jorel1380)
You invested $12,000 in two accounts paying 6% and 8% annual interest, respectively. If... (answered by mananth,richwmiller)
You invested ​$29,000 in two accounts paying 6% and 9% annual​ interest,... (answered by josgarithmetic,MathTherapy)
You invested $18,000 in two accounts paying 5% and 7% annual interest, respectively. If... (answered by stanbon)
you invested $29,000 in two accounts paying 3% and 8% annual interest, respectively. If... (answered by stanbon)
You invested $8000 in two accounts paying 3% and 8% annual interest, respectively. If the (answered by mananth)
you invested 5000 in two accounts paying 4% and 7% annual interest, respectively. if the... (answered by checkley77)