
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
Piravena must make a trip from city $A$ to city $B$, and then from city $B$ to city $C$. The cities form a right-angled triangle with the right angle at $B$. The distance from $A$ to $B$ is $4000\text{ km}$ and from $B$ to $C$ is $3000\text{ km}$. To take a bus, it costs Piravena $\$0.15$ per kilometer. To take an airplane, it costs her a $\$120$ booking fee, plus $\$0.12$ per kilometer. Determine the cost for Piravena to fly from $A$ to $B$ and then take a bus from $B$ to $C$.

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