
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
Someone deposits $t$ forints in a savings bank; how much money will they have at the end of $n$ years if they receive an interest rate of $p_{1} \%$ on the principal, but only $p_{2} \%$ on the interest accrued annually? For example, given $t = 5600$ forints, $p_{1} = 4 \frac{1}{2} \%$, $p_{2} = 4\%$, and $n = 12$ years.

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