
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
At the beginning of the year 2020, a city implemented the "Old Item Recycling Plan," providing a platform for the reuse of old items. By the end of 2020, 40,000 old items were collected. With increased publicity, the number of old items collected in the whole year of 2022 reached 90,000. If the growth rate of collecting old items is the same every year, find:<br/>$(1)$ The annual growth rate of collecting old items.<br/>$(2)$ According to this growth rate, can we predict if the number of old items collected in the whole year of 2023 will exceed 120,000?

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