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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:

Malika bought stock in a company two years ago that was worth x x dollars. During the first year that she owned the stock, it increased by 28% 28 \% . During the second year the value of the stock increased by 25% 25 \% . Write an expression in terms of x x that represents the value of the stock after the two years have passed.\newlineAnswer:

Full solution

Q. Malika bought stock in a company two years ago that was worth x x dollars. During the first year that she owned the stock, it increased by 28% 28 \% . During the second year the value of the stock increased by 25% 25 \% . Write an expression in terms of x x that represents the value of the stock after the two years have passed.\newlineAnswer:
  1. Calculate first year value: We start by calculating the value of the stock after the first year. The stock increased by 28%28\%, so we multiply the original value xx by 1.281.28 (since 100%+28%=128%=1.28100\% + 28\% = 128\% = 1.28).\newlineValue after first year = x×1.28x \times 1.28
  2. Calculate second year value: Next, we calculate the value of the stock after the second year. The stock increased by another 25%25\%. To find the new value, we take the value after the first year and multiply it by 1.251.25 (since 100%+25%=125%=1.25100\% + 25\% = 125\% = 1.25).\newlineValue after second year = (x×1.28)×1.25(x \times 1.28) \times 1.25
  3. Simplify expression: Now we simplify the expression by multiplying the constants together.\newlineValue after second year = x×1.28×1.25x \times 1.28 \times 1.25
  4. Perform final multiplication: Perform the multiplication to find the final expression.\newlineValue after second year = x×1.60x \times 1.60

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