To determine the rate, substitute the given values into the following equation:
[tex]I\text{ = Prt}[/tex]where I is the amount of the interest, P is the principal amount, r is the rate, and t is the time in years.
Thus, we have:
[tex]45=600(x)(3)[/tex]Simplify the right side of the equation. Multiply 600 and 3.
[tex]45=1800x[/tex]Divide both sides of the equation by 1800.
[tex]\begin{gathered} \frac{45}{1800}=\frac{1800x}{1800} \\ 0.025=x \end{gathered}[/tex]Therefore, the rate is 0.025 or 2.5%.