What annual rate of return is implied on a $2,500 loan taken next year when $4,500 must be repaid in year 5?

Prairie, inc. produces one single product. it has an annual capacity of 10,000 units, but currently uses only 80% of it. each unit is sold for $50 and requires direct material worth $30 and direct labor worth $5. manufacturing overhead cost is $10 per unit of which 70% is variable. should a special order to sell 1,000 units at $44 be accepted? yes no

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

How do you know if two line segments are perpendicular?