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Home » You Won’t Believe the Hidden Details in Michelangelo’s Iconic Sculptures! - AMAZONAWS

You Won’t Believe the Hidden Details in Michelangelo’s Iconic Sculptures! - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 = 3^2, \quad 12 = 2^2 \times 3 \quad \Rightarrow \quad \text{lcm}(9,12) = 2^2 \times 3^2 = 36

📌 Now, find the smallest three-digit multiple of 36:

📌 \left\lceil \frac{100}{36} \right\rceil = \left\lceil 2.777\ldots \right\rceil = 3

📌 So, the smallest such number is:

📌 \times 3 = 108

📌 Thus, the smallest three-digit number divisible by both 9 and 12 is \(\boxed{108}\).A venture capitalist invests $500,000 in a clean technology startup that promises a 12% annual return compounded quarterly. If all returns are reinvested, how much will the investment be worth after 3 years?

📌 The quarterly interest rate is 12% / 4 = 0.03.

📌 The number of compounding periods is 3 years × 4 = 12.

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We need to find the largest positive multiple of 3 such that \( v^2 <...
Find the largest integer \( v \) such that \( v^2 < 200 \). Taking the...
\sqrt{200} \approx 14.14
So \( v \leq 14 \). Now consider the multiples of 3 less than or equal...
Check \( v = 12 \):
12^2 = 144 < 200
Check \( v = 15 \) (next multiple):
15^2 = 225 > 200 \quad \text{(not valid)}
Since 15 exceeds the limit, the largest valid multiple is 12.
Therefore, the largest possible value of \( v \) is \(\boxed{12}\).

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