You invest $10,000$ dollars in an investment that pays $5 \%$ interest compounded yearly for the first three years, and then $10 \%$ interest compounded yearly for the last two years. How much will you get after five years? ($1.05^{3} \approx 1.15763$ and $0.95^{3} \approx0.8574$, round the result to the nearest tenth) 
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