
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In $2005$, Investor Isabel invested $500$ dollars for three years. During the first year, her investment achieved a $10\%$ gain, during the second year it suffered a $20\%$ loss, and in the third year, it rebounded with a $15\%$ gain. What was the overall percentage change in Isabel's investment over the three-year period?
A) $0.5\%$ loss
B) $1.2\%$ gain
C) $0.5\%$ gain
D) $2\%$ loss

Present the answer in LaTex format: \boxed{Your answer}
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