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A company's revenue increased by 25% from last year. If the revenue last year was $400,000, what is the new revenue?
The increase in revenue is calculated as:
\[ \text{Increase} = 0.25 \times 400,000 = 100,000 \]
The new revenue is:
\[ 400,000 + 100,000 = 500,000 \]
A car travels 150 miles in 3 hours. What is the average speed of the car in miles per hour?
Average speed is calculated by dividing the total distance by the total time:
\[ \text{Average Speed} = \frac{150 \, \text{miles}}{3 \, \text{hours}} = 50 \, \text{miles per hour} \]
A quadratic equation \( ax^2 + bx + c = 0 \) has roots 4 and -3. If \( a = 1 \), what are the values of \( b \) and \( c \)?
Using Vieta's formulas, the sum and product of the roots are given by:
