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Home » Also: **Die gesamte Aussage ist fÃ¼r alle $ x \in \mathbbZ $ wahr. - Dachbleche24

Also: **Die gesamte Aussage ist fÃ¼r alle $ x \in \mathbbZ $ wahr. - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \boxed{32000\pi}A zoologist in the Amazon recorded that a troop of 18 spider monkeys split into three equal subgroups during foraging. After 2 hours, one subgroup returned to the main group, while 4 monkeys from the largest remaining subgroup were tagged and released back in. If the original drinking pool was replenished every time a subgroup of 6 or more monkeys passed by, how many replenishments occurred due to subgroup sizes over this period?

📌 Subgroup size initially: 18 ÷ 3 = <<18/3=6>>6 monkeys each.

📌 One subgroup returns: now subgroups are two of 6 and one of 12. Largest subgroup has 12 > 6, so replenishment occurs here: 1st replenishment.

📌 After tagging 4 monkeys from the largest subgroup (size 12 → 8), no new replenishment because group size remains 8 ≥ 6, but tagging does not change size.

📌 Only one replenishment occurred at the largest remaining subgroup.

📌 An entrepreneur invested $25,000 in a solar panel startup. The value of the investment grows at a compound annual rate of 12%. After 3 years, she sells 60% of her shares. What is the value of the sold portion?

📌 Value after 3 years: $25,000 × (1 + 0.12)³ = $25,000 × 1.404928 = $35,123.20.

📌 60% of this value: 0.60 × 35,123.20 = $21,073.92.

🔥 Popular Posts

So \( x = 0 \) is the only solution — but this implies the circle is t...
At \( x = 0 \): \( y^2 = 64 \), so \( y = \pm8 \).
Check in ellipse: \( 0 + \frac{64}{64} = 1 \) — yes.
Now check if other intersections exist:
The circle has radius 8, ellipse semi-minor axis is 8 — so the circle...
But does it intersect in more points? No — since the circle lies entir...
Actually, the circle is inscribed: at \( x=0 \), both have \( y = \pm8...
Try solving numerically:
At \( x = 8 \), ellipse: \( y^2 = 64(1 - 64/100) = 64(0.36) = 23.04 \)...
Circle: at \( x=8 \), \( y=0 \), so not intersecting.

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