SOLUTION: Suppose a person put $3000 more in an an account that pays 5% annual interest than in an account that pays 4% annual interest. If the total interest earned from both accounts in a

Algebra ->  Finance -> SOLUTION: Suppose a person put $3000 more in an an account that pays 5% annual interest than in an account that pays 4% annual interest. If the total interest earned from both accounts in a       Log On


   



Question 955889: Suppose a person put $3000 more in an an account that pays 5% annual interest than in an account that pays 4% annual interest. If the total interest earned from both accounts in a year is $510. How much was invested in each account?
I don't know how to solve this, it is giving me a lot of trouble please help??

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+I+=+P%2Ar%2At+
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Let +p++ = amount invested @ 4%
+p+%2B+3000+ = amount invested @ 5%
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(1) +I%5B1%5D+=+p%2A.04%2A1+
(2) +I%5B2%5D+=+%28+p+%2B+3000+%29%2A.05%2A1+
(3) +I%5B1%5D+%2B+I%5B2%5D+=+510+
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+510+=+.04p+%2B+%28+p+%2B+3000+%29%2A.05+
+510+=+.04p+%2B+.05p+%2B+150+
+.09p+=+360+
+p+=+4000+
and
+p+%2B+3000+=+7000+
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$4,000 is invested @ 4%
$7,000 is invested @ 5%
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check:
(1) +I%5B1%5D+=+.04p+
(1) +I%5B1%5D+=+.04%2A4000+
(1) +I%5B1%5D+=+160+
and
(2) +I%5B2%5D+=+.05%2A%28+p+%2B+3000+%29+
(2) +I%5B2%5D+=+.05%2A7000+
(2) +I%5B2%5D+=+350+
and
(3) +I%5B1%5D+%2B+I%5B2%5D+=+510+
(3) +160+%2B+350+=+510+
(3) +510+=+510+
OK