Heather has divided $5700 between two investments, one paying 8%, the other paying 7%. if the return on her investment is $420, how much does she have in each investment?

To answer, let x be the amount that is invested at 8% return. With this representation, the amount for that is invested at 7% return is 5700 - x. The total return is calculated through the equation,

   R = P x i x n 

where R is the return, P is the principal amount, i is the interest, and n is the number of years.

Substituting the known values,

  420 = (x)(0.08) + (5700 - x)(0.07)

The value of x from the equation is 2100.

The value invested at 8% is $2,100 and the value invested at 7% is $3,600.

Financial aid is money to help pay for college or career school. Grants, work-study, loans, and scholarships help make college or career school affordable.

Explanation:

State governments offer grants, scholarships, work-study funds, state loans, and tuition assistance. You can learn more about the financial aid for your particular state by contacting your state's financial aid agency. The financial aid counselor at your school may also have information about state programs.