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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

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) About Me  (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