A hot air balloon is flying at an altitude of 4000 feet. It reduces its altitude by 3% in order to change direction. After it changes direction, it increases its altitude by 500 feet. What is the final altitude of the hot air balloon?

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Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth