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\[ V(t) = 200 \times 0.1968744 \approx 39.37488 \]
\[ V(t) \approx 39.37 \]
#### 39.37
A geologist is analyzing a crystal formation's growth, which increases by 5% annually. If the current mass is 300 grams, what will the mass be in 25 years? Use the formula \( M(t) = M_0 \times (1 + r)^t \). Calculate \( M(t) \).
Initial mass, \( M_0 = 300 \) grams
Annual growth rate, \( r = 5\% = 0.05 \)
Time, \( t = 25 \) years
Exponential growth formula: \( M(t) = M_0 \times (1 + r)^t \)
\[ M(t) = 300 \times (1 + 0.05)^{25} \]
Calculate \( (1.05)^{25} \):