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Home » This Deep Amber Cognac Color is the Secret to Elevator-Worthy Cocktails! - Blask

This Deep Amber Cognac Color is the Secret to Elevator-Worthy Cocktails! - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A biotech company’s stock value grows continuously at 8% per year. If an investor buys $10,000 worth, what will the value be after 5 years?

📌 Use \( A = Pe^{rt} = 10000 \cdot e^{0.08 \cdot 5} = 10000 \cdot e^{0.4} \approx 10000 \cdot 1.4918 = 14918 \).

📌 #### 14918**Question:** A museum curator is organizing a display of 7 unique historical scientific instruments, but the virtual cataloging system can only showcase 4 at a time. How many different sets of 4 instruments can be chosen from the 7?

📌 Solution:** To solve this problem, we use the concept of combinations, as the order in which the instruments are showcased does not matter. The number of ways to choose 4 instruments from 7 is given by the binomial coefficient \(\binom{7}{4}\). The formula for combinations is:

📌 Substituting \(n = 7\) and \(r = 4\), we get:

📌 \binom{7}{4} = \frac{7!}{4! \times (7-4)!} = \frac{7 \times 6 \times 5 \times 4!}{4! \times 3 \times 2 \times 1} = \frac{7 \times 6 \times 5}{3 \times 2 \times 1} = \frac{210}{6} = 35

📌 Thus, there are \(\boxed{35}\) different sets of 4 instruments that can be chosen from the 7.

📌 Question:** An agricultural systems officer in California is planning a community program and needs to select 3 types of sustainable crops from a list of 10. In how many ways can they choose 3 crops if the order does not matter?

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