Camila bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it decreased by 19%. During the second year the value of the stock decreased by 8%. Write an expression in terms of x that represents the value of the stock after the two years have passed. Answer:

Question

Camila bought stock in a company two years ago that was worth  x dollars. During the first year that she owned the stock, it decreased by  19%. During the second year the value of the stock decreased by  8%. Write an expression in terms of  x that represents the value of the stock after the two years have passed. Answer:

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. Camila's stock value decreases by 19% in the first year and by 8% in the second year. We need to find the expression that represents the value of the stock after these two decreases.Calculate first year value: Calculate the value of the stock after the first year. The stock decreases by 19% in the first year. To find the decreased value, we subtract 19% of x from x. Value after first year = x - (19/100 * x)Simplify first year expression: Simplify the expression for the value after the first year. Value after first year = x - 0.19x Value after first year = 0.81xCalculate second year value: Calculate the value of the stock after the second year. The stock decreases by 8% in the second year. We apply this decrease to the value after the first year. Value after second year = 0.81x - (8/100 * 0.81x)Simplify second year expression: Simplify the expression for the value after the second year. Value after second year = 0.81x - 0.08 * 0.81x Value after second year = 0.81x - 0.0648x Value after second year = 0.7452x

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