Arectangular sheet of metal has identical squares cut from each corner. the sheet is then bent along the dotted lines to form an open box. the volume of the box is 420 in.3. the equation 4x3 – 72x2 + 320x = 420 can be used to find x, the side length of the square cut from each corner. what is the side length of the square that is cut from each corner, to the nearest inch?

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At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96

What is the area of this parallelogram? 434.28 cm2 263.67 cm2 527.34 cm2 217.14 cm2