1. **Problem:** Natasha’s flat screen television was originally purchased for 300. The value decreases by 7% each year. Find the value after 5 years. 2. **Formula:** The value after depreciation can be found using the exponential decay formula: $$V = P(1 - r)^t$$ where: - $P$ is the original price, - $r$ is the rate of decrease (as a decimal), - $t$ is the time in years, - $V$ is the value after $t$ years. 3. **Substitute values:** $$P = 300, \quad r = 0.07, \quad t = 5$$ $$V = 300(1 - 0.07)^5 = 300(0.93)^5$$ 4. **Calculate:** $$0.93^5 = 0.93 \times 0.93 \times 0.93 \times 0.93 \times 0.93$$ Using a calculator, $0.93^5 \approx 0.696$. 5. **Final value:** $$V = 300 \times 0.696 = 208.8$$ **Answer:** The television will be worth approximately 208.8 at the end of 5 years.