1. The problem is to find the new value after a 30% increase on 4000. 2. The formula to calculate the increased value is: $$\text{New Value} = \text{Original Value} \times (1 + \text{Percentage Increase})$$ 3. Here, the original value is 4000 and the percentage increase is 30%, which as a decimal is 0.30. 4. Substitute the values into the formula: $$\text{New Value} = 4000 \times (1 + 0.30)$$ 5. Simplify inside the parentheses: $$1 + 0.30 = 1.30$$ 6. Multiply: $$4000 \times 1.30 = 5200$$ 7. Therefore, the new value after a 30% increase is 5200.