
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
A revised formula $N=5 \times 10^7 \times x^{-5/2}$ gives the number of individuals in a different group whose income surpasses $x$ dollars. Find the minimum income, in dollars, of the wealthiest $500$ individuals.
A) $10^2$
B) $10^5$
C) $10^8$
D) $10^{12}$
E) $10^{16}$

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