(Solution) - Determine the number of periods for which the following amounts -(2025 Original AI-Free Solution)

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Determine the number of periods for which the following amounts would have to be invested, under the terms specified, to accumulate to $10,000. Convert the number of periods to years.
1. $5,051 at 10% per annum, compounded semiannually.
2. $5,002 at 8% per annum, compounded annually.
3. $5,134 at 16% per annum, compounded quarterly.