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You invest $10,000 into two accounts. One account earns 5% annually and the other earns 8% annually. If the total interest earned from both accounts in a year is $590, how much is invested in each account?​

Respuesta :

Answer:

$7,000   in the 5% account

$3,000   in the 8% account

Step-by-step explanation:

Let x be the amount invested at 5% the remainer is at 8%

.05x + .08(10000 - x) = 590

Distribute

.05x + 800 - .08x = 590

Combine like terms

-.03x = -210

Divide both sides by-.03

x = 7000   in the 5% account

1000 - x = 3000   in the 8% account

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