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Home » #### \(54\sqrt3\) cm²**Question: - Imagemakers

#### \(54\sqrt3\) cm²**Question: - Imagemakers

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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📌 5John invests $5000 in a startup that grows at a continuous annual rate of 12%. After 5 years, he sells his stake. If the capital gains tax is 20% on the profit, how much does he keep after taxes?

📌 Amount kept = 9110.50 - 822.10 = 8288.40

📌 A science communicator films a video series on exponential decay. In one experiment, a radioactive substance decays at a rate of 8% per hour. If the initial mass is 250 grams, how much remains after 12 hours?

📌 An investor divides $10,000 between two tech startups: 60% in a biotech firm growing at 10% compounded annually and 40% in a green energy firm growing at 14% compounded semi-annually. What is the total value after 3 years?

📌 A Mars habitats oxygen generator recycles 75% of exhaled oxygen. If astronauts consume 0.85 kg per day and the system starts with 10 kg, how much net oxygen remains after 7 days?

📌 An early-stage tech founder bets $200,000 on a project with a 30% chance of yielding 10x return, 50% chance of breaking even, and 20% chance of total loss. What is the expected value of the investment?

📌 A science educator models a viral video trend using exponential growth: a video gains 40% more views each day. If it starts with 5,000 views, how many views will it have at the end of day 10?

📌 An angel investor buys 15% equity in a startup for $300,000. Two years later, the company raises a round valuing it at $3 million pre-money, issuing new shares that dilute existing investors by 20%. What is the current value of the investors shares?

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