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Nano Specialist is considering an upgrade project. The estimated cash flows from the upgrade project appear below. What is the project's payback period? Note that year $0$ and year $1$ cash flows are negative. $($Answer in years, round to $2$ places$)$

Year $0$ cash flow $=-89,000$

Year $1$ cash flow $=-49,000$

Year $2$ cash flow $=13,000$

Year $3$ cash flow $=30,000$

Year $4$ cash flow $=24,000$

Year $5$ cash flow $=32,000$

Year $6$ cash flow $=35,000$

Year $7$ cash flow $=42,000$

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