SOLUTION: An investor wants to invest $25,000 into two municipal bonds that pay 5.2% and 6% simple interest annually. The investor wants an annual income of $1350. The amount that should be

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: An investor wants to invest $25,000 into two municipal bonds that pay 5.2% and 6% simple interest annually. The investor wants an annual income of $1350. The amount that should be       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 996833: An investor wants to invest $25,000 into two municipal bonds that pay 5.2% and 6% simple interest annually. The investor wants an annual income of $1350. The amount that should be invested at 5.2% is?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = amount invested at 5.2%
Let +b+ = amount invested at 6%
-----------------------------
(1) +a+%2B+b+=+25000+
(2) +.052a+%2B+.06b+=+1350+
--------------------------
(2) +52a+%2B+60b+=+1350000+
(2) +13a+%2B+15b+=+337500+
---------------------------
Multiply both sides of (1) by +13+
and subtract (1) from (2)
(2) +13a+%2B+15b+=+337500+
(1) +-13a+-+13b+=+-325000+
--------------------------
+2b+=+12500+
+b+=+6250+
and
(1) +a+%2B+b+=+25000+
(1) +a+%2B+6250+=+25000+
(1) +a+=+18750+
------------------
$18,750 is invested at 5.2%
$6,250 is invested at 6%
------------------------
check:
(2) +.052a+%2B+.06b+=+1350+
(2) +.052%2A18750+%2B+.06%2A6250+=+1350+
(2) +975+%2B+375+=+1350+
(2) +1350+=+1350+
OK