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Home » R(5) &= 3(25) + 10 + 1 = 75 + 10 + 1 = 86, \\ - Groen Casting

R(5) &= 3(25) + 10 + 1 = 75 + 10 + 1 = 86, \\ - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A population grows exponentially according to the formula P = P₀ × e^(0.05t), where P₀ = 1000 and t is in years. What will the population be after 10 years? (Use e ≈ 2.718)

📌 P = 1000 × e^(0.05×10) = 1000 × e^0.5 ≈ 1000 × 2.718^0.5.

📌 2.718^0.5 ≈ √2.718 ≈ 1.649.

📌 P ≈ 1000 × 1.649 = 1649.

📌 #### 1649A primatologist observes that a group of chimpanzees uses a total of 240 gestures over 5 days to communicate socially. On each day, the number of gestures increases by 10% from the previous day. How many gestures were used on the first day?

📌 Let the number of gestures on the first day be \( x \).

📌 Then the gestures over 5 days are:

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