Answer:
He invest $14000 for 7% and $12000 for 5%.
Step-by-step explanation:
Consider the provided information.
Let executive invest x for 7% and 26000-x for 5%.
The annual return is $1580.
Therefore, the required equation is:
[tex]\frac{7}{100} x+\frac{5}{100}(26000-x)=1580[/tex]
[tex]0.07x+0.05(26000-x)=1580[/tex]
[tex]0.07x+1300-0.05x=1580[/tex]
[tex]0.02x=280[/tex]
[tex]x=14000[/tex]
26000-14000=12000
Therefore, he invest $14000 for 7% and $12000 for 5%.