Question

answer 9

b. (f-g)t Solve the system of equations (4.1) +4y -14 5x 7y-25 5) J=-3 6) Graph the inequality 3x+ 2ys 30. (3x+ 4y 2- 14 5x+ 7y s-25 7) Graph the system of linear inequalities 8) Find the value of $1000 invested in an account (2.5, 3.1, 3.2) a. Bearing 3 % simple interest after 5 years. b. Bearing 3 % interest compounded monthly after 5 years c Bearing 3 % interest compounded continuously after 5 years 9) How long would it take for the an investment of $8000 into an account paying 3% interest ne12 compounded monthly $10,000 10) 300 tickets are sold to a school play. They are either adult or children. The children's tickets cost $15 and the adult's tickets cost $25. The total amount of money taken in was $6100. How many of each kind of ticket was sold? 11) A bospital administers dosages of two supplements. We have the following information as shown on the table: Nutrients per Unit Supplement 1 Supplement 2 Minimum Daily Requirement Nutrient Vitamin A Vitamin B 7 35 2 3 32 $6 Cost per unit 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. Ifx is the number of units of Supplement 1 and y the number of units of Supplement 2 $5 a. 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). he coordinates of the corners of the graph drawn in (b). e coordinates of the corners found in (c) to calculate the maximum profits under nstraints give,

Answer 1

ANSWER:

I = 3% per year or 3% / 12 = 0.25% per month

pv = $8,000

fv = $10,000

fv = pv * (1 + r) ^ n

10,000 = 8,000 * (1 + 0.25%) ^ n

10,000 / 8,000 = (1.0025) ^ n

1.25 = (1.0025) ^ n

1.25 = (1.25) ^ 89.36895

so it will take 89.36895 months or 7 years and 6 months (approx as in the middle of 6th month $8,000 will turn into $10,000)