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\[ r \approx 31.78\% \]#### 0.3178\[ N(t) = 1,000 \times 2^{20/5} \]\[ 20/5 = 4 \]\[ 2^4 = 16 \]\[ N(t) = 1,000 \times 16 = 16,000 \]\[ 200 = 50 \times e^{200r} \]\[ 4 = e^{200r} \]\[ \ln(4) = 200r \]\[ \ln(4) \approx 1.3863 \]