Part of $9,000 is invested at 11%, another part at 13%, and the remainder at 14% yearly interest. The total yearly income from the three investments is $1,175. The sum of the amounts invested at 11% and 13% equals the amount invested at 14%. How much is invested at each rate?
A. $2,000 at 11%, $2,500 at 13%, and $4,500 at 14%
B. $3,000 at 11%, $1,500 at 13%, and $3,500 at 14%
C. $3,000 at 11%, $1,500 at 13%, and $4,500 at 14%
D. $3,000 at 11%, $2,500 at 13%, and $3,500 at 14%
E. $1,000 at 11%, $3,500 at 13%, and $3,500 at 14%
Answer: A
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