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:
[tex]99,200-12,400x=0[/tex]If we solve for x we find when the value of the amount will be zero:
[tex]\begin{gathered} 99,200=12,400x \\ x=\frac{99,200}{12,400}=8 \end{gathered}[/tex]The value of the account would be zero in 8 months.
