Answer :
Given:
$4000 is invested in two accounts paying 2% and 4% annual interest.
The total interest earned for the year was $140.
To find:
The amount invested at each rate.
Explanation:
Let us frame the equation as follows,
[tex]\begin{gathered} 2\text{ \% }of\text{ }x+4\text{ \% }of\text{ }(4000-x)=140 \\ \frac{2}{100}x+\frac{4}{100}(4000-x)=140 \\ 2x+16000-4x=14000 \\ -2x=-2000 \\ x=\text{ \$}1000 \end{gathered}[/tex]Thus,
The amount invested at 2% interest is $1000.
The amount invested at 4% interest is $3000.
Final answer:
The amount invested at 2% interest is $1000.
The amount invested at 4% interest is $3000.