Subjects algebra

Car Depreciation

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1. **Problem Statement:** A car was bought in 2010 for 1250000. The car's value decreases by 25500 every year. We need to find the value of the car in 2026. 2. **Formula Used:** The value of the car after $t$ years can be found using the linear depreciation formula: $$ V = V_0 - d \times t $$ where: - $V$ is the value after $t$ years, - $V_0$ is the initial value, - $d$ is the depreciation per year, - $t$ is the number of years since purchase. 3. **Calculate the number of years from 2010 to 2026:** $$ t = 2026 - 2010 = 16 $$ 4. **Substitute the values into the formula:** $$ V = 1250000 - 25500 \times 16 $$ 5. **Calculate the depreciation over 16 years:** $$ 25500 \times 16 = 408000 $$ 6. **Calculate the value of the car in 2026:** $$ V = 1250000 - 408000 = 842000 $$ **Final Answer:** The value of the car in 2026 will be 842000.