Step 1:

The total investment is $6000.

Let the investment at 6% interest is x.

The remaining amount invested at 8% is .

The investments are made for one year.

Using simple interest formula .

Where P is principal investment,

            T is time,

            R is rate of interest.

Using simple interest after one year :

But the earned annual interest after one year is $430.

So $2500 invested at rate 6%.

The remaining $3500 invested at rate 8%.