
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 right-angled triangle $DEF$, $E$ is $3500\text{ km}$ from $D$ and $F$ is $3750\text{ km}$ from $D$. The cost to take a bus is $\$0.20$ per kilometer. The cost to take an airplane is a $\$120$ booking fee plus $\$0.12$ per kilometer. Piravena decides to fly from $D$ to $E$. Calculate the cost for her to fly from $D$ to $E$.

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