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Home » The sum of all four terms is: - ECD Germany

The sum of all four terms is: - ECD Germany

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 An investment of $5,000 is made with an annual interest rate of 6%, compounded monthly. What will be the amount after 5 years?

📌 The sum of the squares of three consecutive integers is 365. What are the integers?

📌 #### 10, 11, 12Question: A futuristic colony on Mars is expanding with three new domes each requiring a unique energy conduit. If the colony has 12 distinct conduit models to choose from, and each dome must receive a different model, how many distinct energy configurations are possible?

📌 We are given 12 distinct energy conduit models and need to assign a unique model to each of the 3 domes. Since the domes are distinct and each must receive a different model, this is a permutation problem where we are selecting and ordering 3 models from 12.

📌 Thus, the number of distinct energy configurations is:

📌 Question: In a smart traffic system, 5 autonomous vehicles must be assigned to 5 different routes out of 8 available routes, such that no two vehicles are assigned to the same route. How many possible assignments are there?

📌 We are selecting and assigning 5 distinct routes from a total of 8 to the 5 autonomous vehicles, with no route reused. Since the vehicles and routes are distinguishable, this is a permutation of 5 routes from 8.

📌 Thus, the number of possible assignments is:

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