SOLUTION: A woman has a total of $10,000 to invest. She invests part of the money in an account that pays 10% per year and the rest in an account that pays 12% per year. If the interest ear

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Question 1107792: A woman has a total of $10,000 to invest. She invests part of the money in an account that pays 10% per year and the rest in an account that pays 12% per year. If the interest earned in the first year is $1080, how much did she invest in each account?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
0.10x + 0.12(10,000 - x) = 1080
0.10x + 1,200 - 0.12x = 1080
-0.02x = -120 divide, and remember that -/- = + so for the purpose of division you can ignore the negative sign
x = 6,000
She invested 6,000 at 10% and 4,000 at 12%