Aleprechaun places a magic penny under a girl's pillow. the next night there are 2 magic pennies under her pillow. each night the number of magic pennies doubles. how much money will the girl have after 16 nights?

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.

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

At 6 1/2 cents per pound of string beans how much does 7 pounds cost