A Finnish ecologist measures a ponds algae population, which increases by 25% weekly. Starting with 800 algae, what is the population after 5 weeks?
["Discover the Science Behind Summer Growth: How a Finnish Ecologist Tracks Pond Algae—And Why It Matters for US Water Health", "Recent findings from Finnish ecology research are sparking quiet curiosity among scientists and outdoor enthusiasts in the United States. A long-term study led by a Finnish ecologist reveals how algae in natural ponds grow rapidly—by nearly a quarter each week—offering clear insights into ecosystem dynamics, water quality, and seasonal change. What began as a focused measurement of pond algae starting at 800 cells now serves as a compelling case study in growth patterns relevant to freshwater management nationwide.", "---", "Why This Study Is Gaining Attention in the US", "Sustainability and water health are growing priorities across American communities, especially as climate shifts and urban development place increasing pressure on natural water systems. The Finnish report, centered on algae growth tracking, aligns with rising interest in ecological monitoring and real-time data. Though localized, the numbers and method reflect principles widely applicable—from tracking algal blooms in US lakes to understanding nutrient cycles in freshwater environments, making this story more relevant than it may first appear.", "---", "How Does Algae Grow by 25% Weekly—And How to Calculate It", "A Finnish ecologist measures a ponds algae population, which increases by 25% weekly. Starting with 800 algae cells, this growth reflects natural exponential progression common in warm, nutrient-rich waters. Weekly increases compound: each week, the algae count rises by one-fourth of the previous total. Unlike linear growth, this pattern means acceleration—doubling quickly under ideal conditions—making it a key indicator of ecosystem dynamics.", "To project the population after 5 weeks, apply the compound growth formula:", "\[ P_n = P_0 \ imes (1 + r)^n \] \nWhere"]
