To solve for the simple interest rate, we have the following formula below:
![r=(I)/(P* t)*100](https://img.qammunity.org/2023/formulas/mathematics/college/iobenod79fexusgmnw72s30jjiv1su8k0x.png)
where I = interest, P = principal or the original investment, and t = time in years.
In the problem, here are the given information:
Interest = $1,391.04
Principal = $2,300
Time = 12.6 years
Let's plug in these data to the formula above.
![r=(1,391.04)/(2,300*12.6)*100](https://img.qammunity.org/2023/formulas/mathematics/college/7okuverh8fh3hrga94v19ld4oj80xs2xh9.png)
![\begin{gathered} r=(1,391.04)/(28,980)*100 \\ r=0.048*100 \\ r=4.8 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hcgsxqoftvk6dm4cs6cn44741r0hdwj0uy.png)
Therefore, the simple interest rate on a $2300 investment is 4.8%.