
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
An engineer invested \$15,000 in a nine-month savings certificate that paid a simple annual interest rate of $9\%$. After nine months, she invested the total value of her investment in another nine-month certificate with an annual interest rate of $15\%$. What was the total value of her investment at the end of these eighteen months?

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