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Home » \[ A = 10,000(1 + 0.05)^3 \] - AMAZONAWS

\[ A = 10,000(1 + 0.05)^3 \] - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Distance at 90 mph: 90 * 2 = 180 miles

📌 Total distance: 180 + 180 = 360 miles

📌 Equation: x + (x + 2) + (x + 4) = 90

📌 Simplify: 3x + 6 = 90

📌 Subtract 6: 3x = 84

📌 Divide by 3: x = 28

📌 Largest integer: x + 4 = 32

📌 A rectangle's length is twice its width. If the perimeter is 60 meters, what is the area?

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Let \(u = \sin^2 x\), then \(\cos^2 x = 1 - u\), so:
rac{u}{1 - u} + rac{1 - u}{u} + 2 = rac{u^2 + (1 - u)^2}{u(1 - u)} +...
But better: use identity:
an x + \cot x = rac{\sin x}{\cos x} + rac{\cos x}{\sin x} = rac{\si...
Now the full expression:
+ \sin 2x + rac{4}{\sin^2 2x}
Let \(t = \sin 2x\), \(0 < t \leq 1\) (since \(x \in (0, \pi/2)\Righta...
Define \(f(t) = 1 + t + rac{4}{t^2}\), \(0 < t \leq 1\)
Derivative: \(f'(t) = 1 - rac{8}{t^3}\)
Set to zero: \(1 = rac{8}{t^3} \Rightarrow t^3 = 8 \Rightarrow t = 2\...

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