Arectangular piece of cardboard can be turned into an open box by cutting away identical squares from each corner and folding up the resulting flaps. the cardboard is 12 inches long and 12 inches wide. a) write an expression for the length of the box in terms of x (the length of each square you cut away). b) write an expression for the width of the box in terms of x. c) write an expression for the volume of the box in terms of x. d) find the dimensions of the box that will yield the maximum volume.

The? half-life of a radioactive substance is 20 years. if you start with some amount of this? substance, what fraction will remain in 120 ? years

Bonnie and bobby are saving money for a vacation. each friend starts with an amount and also saves a specific amount each week. bonnie created a table to show the total she has saved at the end of each week.. weeks 0 1 2 3 4 5 6 7 8 amount saved 12 16 20 24 28 32 36 40 44 bobby came up with the following equation to show the total, y, he has saved at the end of each week, x. y = 12x + 4 compare the rate at which each friend saves money. select the correct answer from the drop-down menu to complete the statement. the rate at which bobby is adding to his savings each week is $ more than the rate at which bonnie is adding to her savings each week.

Sally deposited money into a savings account paying 4% simple interest per year. the first year, she earned $75 in interest. how much interest will she earn during the following year? show your work and explain your reasoning in the space provided below.