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Kehlani 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 
26%. Write an expression in terms of 
x that represents the value of the stock after the two years have passed.
Answer:

Kehlani 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 26% 26 \% . 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. Kehlani 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 26% 26 \% . 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: First, we need to calculate the value of the stock after the first year's increase of 28%28\%. To do this, we multiply the original value of the stock, xx, by 11 plus the percentage increase in decimal form.\newlineCalculation: First year value = x×(1+28100)=x×1.28x \times (1 + \frac{28}{100}) = x \times 1.28
  2. Calculate Second Year Value: Next, we need to calculate the value of the stock after the second year's increase of 26%26\%. We take the value from the first year and multiply it by 11 plus the second year's percentage increase in decimal form.\newlineCalculation: Second year value = (x×1.28)×(1+26100)=(x×1.28)×1.26(x \times 1.28) \times (1 + \frac{26}{100}) = (x \times 1.28) \times 1.26
  3. Find Final Stock Value: Now, we simplify the expression to find the final value of the stock after two years.\newlineCalculation: Final value = x×1.28×1.26x \times 1.28 \times 1.26

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