Interest rate is a portion of a loan that is charged as interest. Usually, it is expressed as an annual interest rate. It has two types which are the simple interest rate and the compounding interest rate. For this, we have a simple interest rate. Calculations are as follows:
We know that is a parabola, concave up, with vertex in the origin
So, we may use three horizontal lines for our purpose: any horizontal line above the x axis will intersect the parabola twice. The x axis itself intersects the parabola once on the vertex, while any horizontal line below the x axis won't intercept the parabola.
Here's the examples:
The horizontal line intercepts the parabola twice: the system is solved by
The horizontal line intercepts the parabola only once: the system is which yields which is a repeated solution
The horizontal line intercepts the parabola only once: the system is which yields which is impossible, because a squared number can't be negative.