The equation which represent the worth of car after y years is,
[tex]\begin{gathered} A=25000(1-\frac{6.5}{100})^y \\ =25000(1-0.065)^y \\ =25000(0.935)^y \end{gathered}[/tex]Part b:
Substitute 3 for y in the equation to obtain the worth of car after 3 years.
[tex]\begin{gathered} A=25000(0.935)^3 \\ \approx20435.00 \end{gathered}[/tex]The worth of car after 3 years is $20435.00.
Part C:
Determine the worth of car after 5 years.
[tex]\begin{gathered} A=25000(0.935)^5 \\ =17864.796 \\ \approx17864.80 \end{gathered}[/tex]Determine the value lost in 5 years.
[tex]25000-17864.80=7135.2[/tex]The value of car lost in 5 years is $7135.2.