SOLUTION: A person plans to invest three times as much in an account at 4.6​% interest as in an account at 19.0​% annual interest. How much should the person invest in each accou

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Question 1059268: A person plans to invest three times as much in an account at 4.6​% interest as in an account at 19.0​% annual interest. How much should the person invest in each account to earn a total of $ 492 in one​ year?
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
Let the amount at 19% be x. Then, the amount at 4.6% will be 3*x
0.046(3*x)+0.19x = 492
0.138x+0.19x = 492
0.328x = 492
x = 1,500 this is the amount invested at 19%. The amount invested at 4.6% is three times more: 1,500*3 = 4,500

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