a card increases value by 2% every year for 6 years and starts at 8 dollars

Let's make an equation. Since it is increasing by 2%, we will have to multiply the starting value by 1.02 raised to an exponent since it is increasing.

Equation:

[tex] 8*1.02^{6} =y [/tex]

This will be the equation we'll use. We need to solve it.

y=9.01

So, the value by the end of the 6 years will be $9.01.