
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 a triangle where city C is connected to cities A and B (forming a right triangle), the distance from C to A is $4000$ km and the distance from B to A is $4250$ km. When traveling:
- By bus, the rate is $ \$0.10$ per km.
- By plane, there is a $ \$150$ boarding fee plus $ \$0.15$ per km.

Piravena starts her trip flying from A to B. She then takes a bus from B to C. Determine the entire trip cost for Piravena.

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