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westmark fairbanks hotel & conference center fairbanks ak - NBX Soluciones

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 #### 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:

📌 \( x + 1.1x + (1.1)^2x + (1.1)^3x + (1.1)^4x = 240 \)

📌 \( x(1 + 1.1 + 1.21 + 1.331 + 1.4641) = 240 \)

📌 Calculate the sum:

📌 \( 1 + 1.1 + 1.21 + 1.331 + 1.4641 = 6.1051 \)

📌 \( x = \frac{240}{6.1051} \approx 39.32 \)

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