SOLUTION: nacho invests $9000 in two accounts. the first account pays 5% annually and the second amount pays 4%. if at the end of one year he makes $410 i interest, how much did he invest in

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Question 1145092: nacho invests $9000 in two accounts. the first account pays 5% annually and the second amount pays 4%. if at the end of one year he makes $410 i interest, how much did he invest in each account
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


If was invested in two accounts, at and at and the total interest earned at the end of one year is , then we know two things:



and



But from [1] we can deduce:



Then substituting into [2] we have:



Since you are given and , you now have a single equation in a single variable, namely:



Solve for and then calculate


John

My calculator said it, I believe it, that settles it


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