> Sarah plans to invest $10,440.00, part at 3.5% simple interest and the rest at 5% simple interest.?

Sarah plans to invest $10,440.00, part at 3.5% simple interest and the rest at 5% simple interest.?

Posted at: 2014-12-05 
What is the most that she can invest at 3.5% and still be guaranteed at least $483.00 in interest per year? Round your answer to the nearest cent and include units.

If the amount invested at 3.5% is A, then the amount at 5% must be 10440 - A

Interest = A x 3.5% + (10440 - A) x 5% = 483

1.5% x A = 39

A = 2600 invested at 3.5%

and 10440 - 2600 = 7840 at 5%

If any more than 2600 is invested at 3.5% the interest will fall below 483

What is the most that she can invest at 3.5% and still be guaranteed at least $483.00 in interest per year? Round your answer to the nearest cent and include units.