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Home » Substitute \( x + y + z = 6 \): - go-checkin.com

Substitute \( x + y + z = 6 \): - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A venture capitalist divides a $2 million investment between two clean energy startups: 60% in a wind company and 40% in a green hydrogen firm. If the wind company returns 15% and the hydrogen firm 25% after one year, what is the total value of the portfolio at the end of the year?

📌 Amount in wind = $2,000,000 × 0.60 = $<<2000000*0.6=1200000>>1,200,000.

📌 Return from wind = $1,200,000 × 0.15 = $<<1200000*0.15=180000>>180,000.

📌 Amount in hydrogen = $2,000,000 × 0.40 = $<<2000000*0.4=800000>>800,000.

📌 Return from hydrogen = $800,000 × 0.25 = $<<800000*0.25=200000>>200,000.

📌 Total value = ($1,200,000 + 180,000) + ($800,000 + 200,000) = $1,380,000 + $1,000,000 = $<<1380000+1000000=2380000>>2,380,000.

📌 #### 2380000

📌 A biologist collects plant samples from 5 different ecosystems, finding 32, 28, 36, 30, and 34 unique species respectively. She also identifies 12 species common across all ecosystems. What is the total number of distinct plant species recorded across all sites, assuming only the common species are shared?

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