Terence invested $10,000$ dollars in an investment that pays $6 \%$ interest compounded yearly for the first three years, and then $8 \%$ interest compounded yearly for the last two years. How much will he get when the investment is due? ($1.06^{3} \approx 1.191$ and $1.08^{2} \approx1.166$, round the result to the nearest hundredth) 
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