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📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The cross-sectional area of the tank's base is:

📌 A_{\text{base}} = \pi (3)^2 = 9\pi \, \text{square meters}

📌 The rise in water level \( h \) is given by the displaced volume divided by the base area:

📌 h = \frac{V_{\text{sphere}}}{A_{\text{base}}} = \frac{\frac{32}{3} \pi}{9\pi} = \frac{32}{27} \, \text{meters}

📌 #### \(\frac{32}{27}\)

📌 A company offers two investment plans. Plan A offers 5% simple annual interest, while Plan B offers 4% compound interest, compounded annually. How many years will it take for an investment of $1000 in Plan A to equal an investment of $1000 in Plan B?

📌 For Plan A, the future value after \( t \) years is:

📌 A_A = 1000(1 + 0.05t)

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