A farmer is setting up separate pens for livestock by fencing off a rectangular area and running fence to create nine parallel pens. If the farmer has to enclose a total area of 50,000 square yards, what is the shortest length of fence needed

The plastic flowerpots company has two manufacturing departments, molding and packaging. at the beginning of the month, the molding department has 2,100 units in inventory, 70% complete as to materials. during the month, the molding department started 18,500 units. at the end of the month, the molding department had 3,150 units in ending inventory, 80% complete as to materials. units completed in the molding department are transferred into the packaging department. cost information for the molding department for the month follows: beginning work in process inventory (direct materials) $ 1,300 direct materials added during the month 28,900 using the weighted-average method, compute the molding department's (a) equivalent units of production for materials and (b) cost per equivalent unit of production for materials for the month. (round "cost per equivalent unit of production" to 2 decimal places.)

Match each item to check for while reconciling a bank account with the document to which it relates.(there's not just one answer)1. balancing account statement2. balancing check registera. nsf feesb. deposits in transitc. interest earnedd. bank errors

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76