Step-by-step explanation: Once we are working with the simple interest we can use the following simple interest formula
![\begin{gathered} A=P_o(1+rt) \\ \text{Where:} \\ A=\text{end amount} \\ P_o=\text{initial amaount} \\ r=\text{interest rate} \\ t=\text{time} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/od5s3fx6nuchlp9h2pz1o2bknc6u9supol.png)
Step 1: Considering we have an annual percentage rate we have r = 2%/100 = 0.02
Step 3: Now Let's substitute our values and calculate
![\begin{gathered} A=P_o(1+rt) \\ A=800(1+0.02\cdot5) \\ A=880 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ld6wn3arkrfixyurw4zvphnu5txk3bb0hj.png)
Final answer: So, after 5 years the new balance will be $880.