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Home » Total marbles = \( 3 + 4 + 5 = 12 \). - Silent Sales Machine

Total marbles = \( 3 + 4 + 5 = 12 \). - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Perimeter: 2(w + w + 4) = 40 → 2(2w + 4) = 40 → 4w + 8 = 40 → 4w = 32 → w = 8

📌 Length = 8 + 4 = 12

📌 Area = 8 × 12 = 96 square meters

📌 A company increases its workforce by 25% one year, then reduces it by 20% the next. If the original number of employees was 200, how many are there after the two changes?

📌 After 25% increase: 200 × 1.25 = 250

📌 After 20% decrease: 250 × 0.80 = 200

📌 Final number of employees: 200

📌 The price of a laptop after a 15% discount is $595. What was the original price?

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Now, evaluate \( p'(1) \):
p'(1) = 4 imes 1^3 - 12 imes 1^2 + 12 imes 1 - 4 = 4 - 12 + 12 - 4...
Since \( p'(1) = 0 \), \( x = 1 \) is a root of multiplicity at least...
p''(x) = 12x^2 - 24x + 12
Evaluate \( p''(1) \):
p''(1) = 12 imes 1^2 - 24 imes 1 + 12 = 12 - 24 + 12 = 0
Compute the third derivative \( p'''(x) \):
p'''(x) = 24x - 24
p'''(1) = 24 imes 1 - 24 = 0
Compute the fourth derivative \( p^{(4)}(x) \):

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