Malika 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 28%. During the second year the value of the stock increased by 25%. Write an expression in terms of x that represents the value of the stock after the two years have passed.Answer:
Q. Malika 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 28%. During the second year the value of the stock increased by 25%. Write an expression in terms of x that represents the value of the stock after the two years have passed.Answer:
Calculate first year value: We start by calculating the value of the stock after the first year. The stock increased by 28%, so we multiply the original value x by 1.28 (since 100%+28%=128%=1.28).Value after first year = x×1.28
Calculate second year value: Next, we calculate the value of the stock after the second year. The stock increased by another 25%. To find the new value, we take the value after the first year and multiply it by 1.25 (since 100%+25%=125%=1.25).Value after second year = (x×1.28)×1.25
Simplify expression: Now we simplify the expression by multiplying the constants together.Value after second year = x×1.28×1.25
Perform final multiplication: Perform the multiplication to find the final expression.Value after second year = x×1.60