Alexandra bought stock in a company two years ago that was worth xx dollars. During the first year that she owned the stock, it decreased by 22%. During the second year the value of the stock increased by 11%. Write an expression in terms of xx that represents the value of the stock after the two years have passed.

Let xx represent the value of the stock when Alexandra bought it. After one year, the value of the stock decreased by 22%, so we can represent this with an expression by subtracting 0.22 xx from xx:

x – 0.22x = (1-0.22)x = 0.78x

This is the value of the stock after one year has passed. During the second year, it increased by 11%. We can represent this with an expression by adding 0.11(0.78x) to our previous equation:

Alexandra bought stock in a company two years ago that was worth xx dollars. During the first year that she owned the stock, it decreased by 22%. During the second year the value of the stock increased by 11%. Write an expression in terms of xx that represents the value of the stock after the two years have passed.

0.78x + 0.11(0.78x) = 1.(0898) x

Therefore, we can conclude that after two years have passed from when Alexandra first bought her stock, its current worth is equal to 1.(0898) xx dollars

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