14. In planning her retirement, Liza deposits some money at 3% Interest, with twice as much doposited it B. he Find the amount deposited at oach rato if the total annual Interest income is 1300. She deposited square at at 3% and square at 5%. 3% and at 5%

Let's denote the amount deposited at 3% as \( x \) and the amount deposited at 5% as \( 2x \).<br /><br />The total annual interest income from both deposits is $1300. We can set up the equation based on the interest earned from each deposit:<br /><br />\[ \text{Interest from 3% deposit} + \text{Interest from 5% deposit} = \$1300 \]<br /><br />The interest earned from the 3% deposit is \( 0.03x \), and the interest earned from the 5% deposit is \( 0.05(2x) \). So the equation becomes:<br /><br />\[ 0.03x + 0.05(2x) = \$1300 \]<br /><br />Simplify the equation:<br /><br />\[ 0.03x + 0.10x = \$1300 \]<br /><br />Combine like terms:<br /><br />\[ 0.13x = \$1300 \]<br /><br />Now, solve for \( x \):<br /><br />\[ x = \frac{\$1300}{0.13} \]<br /><br />\[ x = \$10,000 \]<br /><br />So, Liza deposited $10,000 at 3% and $20,000 at 5%.