Atank holds 100 gallons of a thoroughly mixed solution which is 50% alcohol. twenty-five gallons are drained from the tank and replaced with a solution that is 20% alcohol. the solution in the tank is thoroughly mixed. this procedure is repeated twice more. what percentage of the final solution is alcohol? express your answer to the nearest whole number.

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.

Aadc is formed by reflecting aabc across line segment ac, as shown in the figure. if the length of ac is 4 units, the area of aadc is square units.

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