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So, the smallest n where B is faster is 23.
#### 23
A community health worker in San Diego distributes water filters to low-income households. Each filter serves 4 people and costs $35. The nonprofit has a budget of $3,500. If 10% of the filter cost is covered by a government grant per filter, how many households can be served?
Total available money: $3,500.
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.
Number of households: 444 ÷ 4 = <<444/4=111>>111 households.
#### 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?