Let 'x' be the amount of months that the automatic payments are made. If at first Larry has $99,200 in his account and every month $12,400 are substracted from that amount we can model the situation when the total amount is zero as:
![99,200-12,400x=0](https://img.qammunity.org/2023/formulas/mathematics/college/mif3a6aknmx87lxeico15vc4kuc9jotfpw.png)
If we solve for x we find when the value of the amount will be zero:
![\begin{gathered} 99,200=12,400x \\ x=(99,200)/(12,400)=8 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/26oita3aw6cth3k6v9o30bzfxsf36fbci6.png)
The value of the account would be zero in 8 months.