Number of households: 444 ÷ 4 = <<444/4=111>>111 households.
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- Cost per filter after 10% grant: $35 × 0.90 = $<<35*0.9=31.5>>31.50.
- Number of filters: $3,500 ÷ $31.50 ≈ <<3500/31.5=111.11>>111.11 → max 111 filters (whole filters).
- Each filter serves 4 people → 111 × 4 = <<111*4=444>>444 people.
- #### 111
- Rick is building a binary tree structure for a data visualization app. Each node stores a health metric, and every level doubles the number of nodes from the previous. Starting with 1 node at level 0, how many total nodes are there in a tree with 10 levels?
- This is a geometric series: level 0: 2⁰ = 1, level 1: 2¹ = 2, ..., level 9: 2⁹.
