We have been given the equation
![y=20646(0.86)^x](https://img.qammunity.org/2019/formulas/mathematics/high-school/eupedfyjh9v6fclc1un7b0y2orcegb6343.png)
This equation represents the value of the brand car x years after it was purchased.
We have to find the value of the Milo's car 11 years after he purchased. In order to find the same we can substitute x = 11 in the above equation.
On substituting x = 11 in the above equation, we get
![y(11)=20646(0.86)^(11)\\y(11)\approx 3929](https://img.qammunity.org/2019/formulas/mathematics/high-school/ybkxsxjwu96nqwehg10q915w4t6jvapirg.png)
Therefore, the value of the car 11 years after purchasing is given by $3929
A is the correct option.