Seth is planning to invest $20,000 of his money. he is investing it in two banks. seth invested 7,000 in bank a, which gives an interest rate of 4%. if seth wants to accumulate $1,280 in interest after one year, what rate must bank b offer for seth to accomplish this yield

In bank A, after one year this would be the amount in the bank: 

$7,000 x 1.04 = $7280. 

He has gained %280 interest. This means you'd need $1000 interest from bank B. 
$13,000 would go into bank B... 
If Seth's interest rate was 8.69% you could calculate the interest as: 

(13000 x 1.0869) - 13,000 = $1129.70 which is a little much (but who'd complain). 

This means the interest is lower than this, if it was 7.69% you could just substitute it into the same equation to find that he would get $999.70 interest. This isn't exactly $1000 but it is the most accurate answer to the nearest $100 :) He would then get $1279.70 interest altogether.. just 30 cents short

Where is the problems