### Instruction: During the first year, ABC's stock price starts at $ \$100 $ and increases $ 100\% $. During the second year, its stock price goes down $ 25\% $ from its price at the end of the first year. What is the price of the stock, in dollars, at the end of the second year?### Response: I need to find the final stock price after two years of changes.
To do that, I will apply the percentage changes one at a time, starting from the initial price.
A 100% increase means that the price doubles, so at the end of the first year, the stock price is $ \$100 \times 2 = \$200 $.
A 25% decrease means that the price is reduced by a quarter, so at the end of the second year, the stock price is $ \$200 \times (1 - 0.25) = \$200 \times 0.75 = \$150 $.