How do i solve this problem?

a total of $16,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest. the investors want an annual interest income of $650 from the investments. what amount should be invested at 3.5% bond?

$10,000

Step-by-step explanation:

You can define a variable that represents the answer to the question: the amount invested at 3.5%. Let's say that is x. Then the amount invested at 5% is 16000-x, and the total interest earned is ...

0.035·x + 0.05·(16000 -x) = 650

-0.015x +800 = 650 . . . . . . . . . . . . simplify

-0.015x = -150 . . . . . . . . . . . . . . . . . subtract 800

x = 10,000 . . . . . . . . . . . . . . . . . . . . divide by -0.015

The amount that should be invested at 3.5% is $10,000.

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