Question

answer 10

(3x + 4y = - 14 X 2 c. f(g(x)) 5) Solve the system of equations (4.1) 5x + 7y = -254 - 6) Graph the inequality 3x + 2y s 30. (3x + 4y 2 - 14 21 Graph the system of linear inequamco 5x + 7y - 25 8) Find the value of $1000 invested in an account (2.5, 3.1, 3.21 a. Bearing 3% simple interest after 5 years. Bearing 3% interest compounded monthly after 5 years. 5 years. 12 nc 12 Bearing 3% interest compounded continuously after 5 years 9) How long would it take for the an investment of $8000 into an a compounded monthly $10,000 101 2 tickets are sold to a school play. They are either douit or children. The children's ticketea ickets cost $25. The total amount of money taken in was $6100. How many $15 and the adult's tickets cost $25. The total amou of each kind of ticket was sold? investment of $8000 into an account paying 3% interest 11) A hospital administers dosages of two supplements. We have the following information as shown on the table: Nutrients per Unit Nutrient Supplement 1 Supplement 2 Minimum Daily Requirement Vitamin A 7 35 Vitamin B 2 3 32 Cost per unit) $6 $5 a. If x is the number of units of Supplement 1 and y the number of units of Supplement 2 administered, write an inequality of the Vitamin A and Vitamin B given. b. Graph the inequalities in (a). C. Find the coordinates of the corners of the graph drawn in (b). d. If x is the number of units of Supplement 1 and y the number of units of Supplement 2 administered, how much did this dosage cost? e. Use the coordinates of the corners found in (c), minimize the expense of the dosage administered under the constraints given using the formula found in (d). the coordinates of the corners of the graph drawn in (b). e coordinates of the corners found in Icl to calculate the maximum pronts under straints give

Answer 1

(10) Let X And, 'y be be the number of the number of Children's Adult's Ticket Ticket. conditions Then according to question two must hold simultaneously, x +y = 300 - (1) 15x +asy = 6100 – 12) CO Solue (1) and (2) Simultaneously, x + 4 = 300 - x 15 8x + 25y = -6100 154-254 = 4500-6100 >-loy = -1600 - y = 160 put the above value of Y in 1 x +y = 300 - 1x = 140 Hence number of Chidren's ticket sold is 140 and adult's ticket sold is 160