Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in or
der from smallest to largest. Enter fractional answers using / as in 2/3 for
\frac23
.
6x(x+2)=-25x+35
\frac23
.
6x(x+2)=-25x+35
1 answer:
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Answer:
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%.