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Home » Substitute the values: \(A = 1000(1 + 0.05/4)^4 \times 3\). - Crosslake

Substitute the values: \(A = 1000(1 + 0.05/4)^4 \times 3\). - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 To find the square of the number of users after 12 months, first calculate \( U(12) \) using the given function:

📌 U(12) = 1000 \cdot (1.05)^{12}

📌 Calculate \( (1.05)^{12} \):

📌 Substitute back to find \( U(12) \):

📌 U(12) = 1000 \cdot 1.795856326 \approx 1795.86

📌 Now, compute the square of 1795.86:

📌 Thus, the square of the number of users after 12 months is

📌 \boxed{3227320.63}

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Here, \( n = 5 \) and \( r = 3 \). Substituting these values gives:
\binom{5}{3} = \frac{5!}{3!(5-3)!} = \frac{5!}{3! \cdot 2!}
Calculating the factorials, we have:
5! = 5 \times 4 \times 3 \times 2 \times 1 = 120
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