Theodore invests a total of $17,500 in two accounts paying 2% and 12% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $950.00.

11,500 at 2% and $6,000 at 12%.

Step-by-step explanation:

Let x represent amount invested at 2% and y represent amount invested at 12%.

We have been given that Theodore invests a total of $17,500 in two accounts. We can represent this information in an equation as:

We are also told that he invested $17,500 in two accounts paying 2% and 12% annual interest, respectively. After one year, the total interest was $950.00.

Interest earned at 2% in one year would be .

Interest earned at 12% in one year would be

Upon substituting equation (1) in equation (2), we will get:    

Therefore, Theodore invested $6,000 at 12%.

Upon substituting in equation (1), we will get:

Therefore, Theodore invested $11,500 at 2%.

9 x 8 divided by (5-3)=36