1. **State the problem:** We need to find the value of a car after 10 years given it depreciates at 14% per year from an initial value of 18700. 2. **Formula used:** The value after $t$ years with depreciation rate $r$ is given by the exponential decay formula: $$ V = P(1 - r)^t $$ where $P$ is the initial value, $r$ is the depreciation rate as a decimal, and $t$ is the time in years. 3. **Identify values:** - Initial value $P = 18700$ - Depreciation rate $r = 0.14$ - Time $t = 10$ 4. **Calculate:** $$ V = 18700(1 - 0.14)^{10} = 18700(0.86)^{10} $$ 5. **Evaluate the power:** $$ (0.86)^{10} \approx 0.2287679245 $$ 6. **Multiply:** $$ V = 18700 \times 0.2287679245 = 4275.9999 $$ 7. **Round to nearest cent:** $$ V \approx 4276.00 $$ **Final answer:** The value of the car after 10 years will be approximately **4276.00**.