The population of a town increases by 5% each year. If the current population is 10,000, what will it be in 4 years?

Mon, 04 May 2026 10:42:55 +0000

**Exploring How a Town’s Population Grows by 5% Annual Growth—What 10,000 Looks Like in Four Years** Why is a small town’s population steadily rising by 5% year after year, and could that 10,000 residents grow meaningfully in just four years? In an era when U.S. cities and towns face shifting demographics, this steady growth pattern reflects both regional development and broader economic forces. What begins as a subtle increase can shape community needs, local economies, and long-term planning—making this question surprisingly relevant. Understanding annual population growth means recognizing it’s a compound process. Even a 5% yearly increase compounds multiplicatively: each year’s growth applies to the larger total, driving sustained expansion. For a town starting at 10,000, this year-over-year escalation means measurable change even without dramatic spikes. **How the annual 5% growth actually transforms a town’s number**
To grasp the impact, consider what 5% represents over four years. Starting with 10,000:
After Year 1: 10,000 × 1.05 = 10,500
After Year 2: 10,500 × 1.05 = 11,025
After Year 3: 11,025 × 1.05 = 11,576.25
After Year 4: 11,576.