Fatoumata bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it increased by 30%. During the second year the value of the stock decreased by 22%. Write an expression in terms of x that represents the value of the stock after the two years have passed. Answer:

Question

Fatoumata bought stock in a company two years ago that was worth  x dollars. During the first year that she owned the stock, it increased by  30%. During the second year the value of the stock decreased by  22%. Write an expression in terms of  x that represents the value of the stock after the two years have passed. Answer:

Bytelearn · Accepted Answer

Calculate First Year Value: Calculate the value of the stock after the first year's increase. The stock increased by 30% in the first year. To find the new value, we multiply the original value x by 1 plus the percentage increase (expressed as a decimal). New value after first year = x * (1 + 0.30)Simplify First Year Expression: Simplify the expression from Step 1. New value after first year = x * 1.30Calculate Second Year Value: Calculate the value of the stock after the second year's decrease. The stock decreased by 22% in the second year. To find the new value, we multiply the value after the first year by 1 minus the percentage decrease (expressed as a decimal). New value after second year = (x * 1.30) * (1 - 0.22)Simplify Second Year Expression: Simplify the expression from Step 3. New value after second year = (x * 1.30) * 0.78Multiply Factors: Multiply the factors to find the final expression. New value after second year = x * 1.30 * 0.78Perform Final Multiplication: Perform the multiplication to simplify the expression. New value after second year = x * 1.014

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