You Receive a Total of 1,350 a Year in Interest $5 \% , 6.5 \%$

Multiple Choice

You receive a total of 1,350 a year in interest from three investments. The interest rates for the three investments are $5 \% , 6.5 \%$ and 7.5% . The 6.5% investment is half of the 5% investment, and the 7.5% investment is 3000 less than the 5% investment. What is the amount of the $6.5 \%$ investment?

A) $\$ 5,000$
B) $\$ 6,000$
C) $\$ 10,000$
D) $\$ 7,000$
E) $\$ 3,000$