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Camila bought stock in a company two years ago that was worth xx dollars. during the first year that she owned the stock, it decreased by 33%. during the second year the value of the stock decreased by 39%. write an expression in terms of xx that represents the value of the stock after the two years have passed.

1) 67% of xx dollars
2) 77% of xx dollars
3) 87% of xx dollars
4) 97% of xx dollars

User Turgs
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1 Answer

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Final answer:

The value of Camila's stock after two years is calculated by multiplying the remaining percentages after each year's decrease, resulting in an expression of 66.97% of xx dollars, or approximately 67% of xx dollars. Option 1 is correct..

Step-by-step explanation:

When Camila bought stock in a company two years ago that was worth xx dollars, the value decreased by 33% during the first year. This reduction can be mathematically represented as 0.67xx (since 100% - 33% = 67%). During the second year, the value further decreased by 39%, which means we take 39% away from the first year's reduced amount, so we calculate 61% of 0.67xx (as 100% - 39% = 61%).

The final value of the stock after two years can hence be represented by multiplying these two percentages: 0.67xx (value after first year) × 0.61 (percentage remaining after second year), which equals 67xx (or 67% of the original value).

Therefore, the correct expression in terms of xx that represents the value of the stock after the two years have passed is 67% of xx dollars, which is not one of the options provided. If we rounded this to the nearest whole percentage, we could consider it approximately 67% of xx dollars.

User Banica
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