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Home » S_n = a \fracr^n - 1r - 1 - Silent Sales Machine

S_n = a \fracr^n - 1r - 1 - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Remaining: 12,000 – 6,000 = <<12000-6000=6000>>6,000 (G and T)

📌 G and T split equally: 6,000 / 2 = <<6000/2=3000>>3,000 thymine

📌 A Philadelphia renewable energy consultant estimates that solar adoption in a district of 15,000 homes increases by 12% annually. If 10% adopted solar in year 0, how many homes will have solar after 3 years, assuming compound growth?

📌 Year 0: 10% of 15,000 = 0.10 × 15,000 = <<0.10*15000=1500>>1,500

📌 Year 1: 1,500 × 1.12 = <<1500*1.12=1680>>1,680

📌 Year 2: 1,680 × 1.12 = <<1680*1.12=1881.6>>1,881.6 → round to 1,882 (nearest whole)

📌 Year 3: 1,882 × 1.12 = <<1882*1.12=2107.44>>2,107.44 → round to 2,107

🔥 Popular Posts

To find the ratio of the areas, we calculate the area of each shape.
The area \(A\) of a circle with radius \(r\) is given by:
A_{\text{pond}} = \pi r^2
The area \(A\) of a semicircle with radius \(R\) is half the area of a...
A_{\text{semicircle}} = \frac{1}{2} \pi R^2
For the walkway with radius \(5r\):
A_{\text{walkway}} = \frac{1}{2} \pi (5r)^2 = \frac{1}{2} \pi \times 2...
The area of the walkway is the area of the full circle with radius \(5...
A_{\text{walkway only}} = \pi (5r)^2 - \pi r^2 = 25\pi r^2 - \pi r^2 =...
The ratio of the area of the pond to the area of the walkway is:

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