A total of $44,000 is invested in two municipal bonds that pay 5.75% and 6.25% simple intrest. The investor wants an annual interest income of $2,680. What is the most that can be invested in the 5.75% bond?

$22333.33

Step-by-step explanation:

The total amount to be invested is $44,000.

Let x be the amount that can be invested in the 5.75% bond.

So, the annual simple interest for this amount is

The remaining amount that can be invested in the 6.25% bond is 44000-x.

The annual simple interest for this amount is

As the investor wants an annual interest income of $2,680, so

Hence, the amount to be invested at a rate of 5.75% is $22333.33.