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Home » What ‘a_r’ Means for Your Future – Experts Reveal the Untold Secrets! - Sterling Industries

What ‘a_r’ Means for Your Future – Experts Reveal the Untold Secrets! - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 An online course offers a math module over 200 hours, where a student improves their proficiency by 2% every day. If they start with 50% proficiency, after how many days will they reach at least 90% proficiency?

📌 Initial proficiency: 50%

📌 Daily growth: 2% of the current proficiency

📌 We want to find \(n\) such that: \(50 \times (1.02)^n \geq 90\)

📌 Using logarithms, solve:

📌 \[ 1.02^n = \frac{90}{50} = 1.8 \]

📌 \[ n \cdot \log(1.02) = \log(1.8) \]

📌 \[ n = \frac{\log(1.8)}{\log(1.02)} \approx 29.25 \]

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Solve: \( x = 3 \).
A ladder 13 meters long leans against a wall, reaching a height of 12...
Use Pythagorean theorem: \( 13^2 = 12^2 + b^2 \).
\( 169 = 144 + b^2 \).
\( b^2 = 25 \) implies \( b = 5 \) meters.
#### 5 meters
A car travels 150 km at a speed of 60 km/h and then another 150 km at...
Time for first part: \( \frac{150}{60} = 2.5 \) hours.
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