Editing Openai/67d9ce0c-64a4-8006-9fa5-0272ee2e5770 (section)

===== Over the 10 years, investors will receive a steady income plus the benefit of increased revenue distribution due to reinvestment and expansion. Here's a simple projection of cumulative returns for investors and the company: =====
# Cumulative Distribution to Investors: Summing up the annual distribution to investors over 10 years with growth:

Total Investor Returns=∑i=110($9.456×(1+0.05)(i−1))\text{Total Investor Returns} = \sum_{i=1}^{10} \left( \$9.456 \times (1 + 0.05)^{(i-1)} \right)Total Investor Returns=i=1∑10($9.456×(1+0.05)(i−1))
Using the formula for the sum of a geometric series:

Total Investor Returns=$9.456 billion×(1+0.05)10−10.05≈$119.45 billion\text{Total Investor Returns} = \$9.456 \, \text{billion} \times \frac{(1 + 0.05)^{10} - 1}{0.05} \approx \$119.45 \, \text{billion}Total Investor Returns=$9.456billion×0.05(1+0.05)10−1≈$119.45billion
# Cumulative Reinvestment and Expansion: Similarly, summing up the annual reinvestment over 10 years:

Total Reinvestment=∑i=110($37.824×(1+0.05)(i−1))\text{Total Reinvestment} = \sum_{i=1}^{10} \left( \$37.824 \times (1 + 0.05)^{(i-1)} \right)Total Reinvestment=i=1∑10($37.824×(1+0.05)(i−1))
Total Reinvestment=$37.824 billion×(1+0.05)10−10.05≈$477.82 billion\text{Total Reinvestment} = \$37.824 \, \text{billion} \times \frac{(1 + 0.05)^{10} - 1}{0.05} \approx \$477.82 \, \text{billion}Total Reinvestment=$37.824billion×0.05(1+0.05)10−1≈$477.82billion