Jose Invested a Total Of $\$ 40,000$ In Three Different Investments That Yield

Essay

Jose invested a total of $\$ 40,000$ in three different investments that yield $6 \%, 8 \%$ , and $10 \%$ per year, respectively. The total income per year from the three investments is $\$ 3,240$ . If the income from the $8 \%$ investment is half the income of the $10 \%$ investment, what amount did Jose invest in each investment?
(a) Write the system of equations that will solve this problem. Do not solve.
(b) Write the system as a matrix equation $A X=B$ . Do not solve.