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Home » So, only one fixed point at \( x = 0 \). - Baxtercollege

So, only one fixed point at \( x = 0 \). - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A sum of money is invested at 5% annual interest, compounded annually. If the investment grows to $10,500 in 3 years, what was the initial amount?

📌 Let the initial amount be \(P\). The formula is \(P(1 + r)^n = 10500\).

📌 Substituting \(r = 0.05\) and \(n = 3\): \(P(1.05)^3 = 10500\).

📌 \(P \times 1.157625 = 10500\).

📌 Solving for \(P\), \(P = \frac{10500}{1.157625} \approx 9070.58\).

📌 #### $9070.58Question: What is the smallest positive integer that is divisible by both the number of continents and the number of oceans on Earth, assuming a total of 7 continents and 5 oceans?

📌 Solution: To find the smallest positive integer divisible by both 7 and 5, we compute the least common multiple (LCM) of 7 and 5. Since 7 and 5 are coprime, their LCM is simply their product:

📌 \text{LCM}(7, 5) = 7 \times 5 = 35

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