Part A-
1) Boxes sell at $3.00 a box. Cost to make each box is $2.50 and rent is $300 per month. How many boxes does this company need to sell before they break even?
2) Write the equation of a line containing these two points.
3) A company is using linear depreciation and a machine that when new was worth $250,000 is valued at 60,000 after 5 years.
Find the linear function that gives the value of the machine as a function of time.
What is the value of the machine after 2 years?
4) Find the equation of a line parallel to the line X+ 4y -12 = CI that contains the point (2, 6). Find the equation of a line perpendicular to that same line.
5) Find the slope and equation of a line (3, -3) (9, -1).
6) If an elaborately decorated Christmas sweater costs $64.25 at Macy's Department store and the sales tax is built into the price, find the cost of the sweater before the sales tax. The sales tax rate is 7.5%.
7) Find the max/min for the equation Does it open up or down?
Y=X2+9x+30
Part B-
1) Find the present value of $64,540 due in 5 years at an interest rate of 8%/year compounded monthly.
2) Find the future value of an ordinary annuity of $120/month for 10 years at 9%/year compounded monthly.
3) Find the payment R needed to amortize a loan of $22,000 at 8.5%/year compounded monthly with 36 monthly installments over a period of 3 years.
4) The Turners have purchased a house for $300,00. They made an initial down payment of $60,000 and secured a mortgage with interest charged at the rate of 6%/year on the unpaid balance. Compounded monthly, Assume the loan is amortized over 30 years.
a. What monthly payment will the Turners be required to make?
b. What will be their total interest payment?
c. What will be their equity (disregard depreciation) after 10 years?
Part C-
1) Use the Gauss-Jordan Elimination method to find the solution to the system:
X + y - 3z = 1
3x + y - 6z = 5
2x + -z = -4
2) Use inverse matrices to find the solution to the system:
6x + 6y - 5z = 11
3x + 6y - z = 6
9x - 3y + 5z = 0
A) Write in Matrix form
B) What is A-1 (Only Fractions)?
C) What is the Solution?