SOLUTION: The total annual income from two investments, one paying 15% annual interest and the 12%, is 1590. If the interest rates were interchanged, the total annual income would be 1650. F

Algebra.Com
Question 792867: The total annual income from two investments, one paying 15% annual interest and the 12%, is 1590. If the interest rates were interchanged, the total annual income would be 1650. Find the amount of each investments.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = amount invested @ 15%
Let = amount invested @ 12%
-----------------
In the 1st case:
(1)
(2)
------------------------
(1)
(2)
Multiply both sides of (1) by
and both sides of (2) by
Then subtract (1) from (2)
-----------------------
(2)
(1)


-------------
Plug this result back into either (1) or (2)
(1)
(1)
(1)
(1)
(1)
----------------
$5,000 was invested @ 15%
$7,000 was invested @ 12%
-----------------------
check answers:
(1)
(1)
(1)
(1)
Ok
You can check other equation


RELATED QUESTIONS

A man has two investments, one paying 5% annual interest and the other at 8%. The total... (answered by josmiceli,Boreal)
A man has two investments, one paying 3% annual interest and the and the other 4%. The... (answered by richwmiller)
Please help :( Sheila placed her savings in two investments. The interest rate on... (answered by ankor@dixie-net.com)
Willard invests a part of 50 000 pesos in a bank paying 12% interest annually and the... (answered by richwmiller)
Lucy has some money invested at 18% annual interest and three times as much invested at... (answered by josmiceli)
You invested $10,000 in two accounts, one paying 8% and the other account paying 10%... (answered by Boreal,stanbon)
An inheritance is divided into two investments. One investment pays 7% annual interest... (answered by Fombitz)
Emma has half of her investments in a stock paying 10% dividends and the other half in a... (answered by mananth)
IF 14000 is invested at 10% simple annual interest, how much should be invested at 12%... (answered by Nate)