11.
a.
[tex]y=5000(0.98)^x[/tex]The y-intercept is given by:
[tex]\begin{gathered} y(0)=5000(0.98)^0 \\ y(0)=5000(1) \\ y(0)=5000 \end{gathered}[/tex]The y-intercept is:
[tex](5000,0)[/tex]The y-intercept represents the initial amount of money in the inactive account
b.
[tex]1-0.98=0.02[/tex]
The decay rate is 0.02 or 2% it means that each year the amount of money in the account is decreased by 2%