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Home » Use compound growth: Final = Initial × (1 + r)^t - Rice University

Use compound growth: Final = Initial × (1 + r)^t - Rice University

📅 May 15, 2026 👤 scraface

May 15, 2026

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So, \( 31.4 = 2\pi r \).
Solving for \( r \), \( r = rac{31.4}{2\pi} pprox rac{31.4}{6.28} =...
The area \( A = \pi r^2 = \pi imes 5^2 = 25\pi \).
#### Area = \( 25\pi \) square units
If \( \log_2(x) + \log_2(8) = 5 \), find \( x \).
Using the property \( \log_b(a) + \log_b(c) = \log_b(ac) \),
\[ \log_2(8x) = 5 \].
Rewrite 8 as \( 2^3 \), so \( \log_2(8x) = \log_2(2^3 \cdot x) = \log_...
Thus, \( 2^5 = 8x \).
Solving \( 32 = 8x \), divide by 8, \( x = 4 \).

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