
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 person invested $\$12,\!000$ in an eight-month savings certificate that paid a simple annual interest rate of $8\%$. After eight months, they reinvested the total value of their investment in another eight-month certificate. After the second period, the final value of the investment was $\$13,\!662.40$. Calculate the annual interest rate, $r\%$, for the second certificate.

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