SOLUTION: Mia invester her money in three accounts; half of her money was invested in a tax-free retirement account, earning 4% interest; 30% of her money was invested in a CD with a 6% annu

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Question 1035203: Mia invester her money in three accounts; half of her money was invested in a tax-free retirement account, earning 4% interest; 30% of her money was invested in a CD with a 6% annual yield, and the remaining 20% was invested in bonds, at an 8% annual yield. at the end of one year, Mia earned a total of $2700 in interest. How much did Mia invest all together
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let m be Mia's money. Then her first investment is 1/2 m at 4% interest; her 2nd is 3/10 of her money at 6%, and 2/10 of her money at 8%. So:
.5(.04)m+.3(.06)m+.2(.08)m=2700
.02m+.018m+.016m=2700
.054m=2700
m=2700/.054=$50000 total investments!!!!!!!!!!!!!!