- Find an equation for the line through the point (-2,5), which is
perpendicular to the line 3
*y*-*x*+2=0. - The cost of producing
*x*units of a product is given by:The product sells for $45 per unit.

- Find the break-even point.
- What revenue will the company receive if it sells just the number of units from the part above?
- Find the profit function, P(x).
- Find the average cost per unit to produce 100 units.

- A 45-year old man puts $1,500 in a retirement account at the end of the each quarter until he reaches the age of 60 and makes no further deposits. If the account pays 12% interest compounded quarterly, how much will be in the account when the man retires at age 65?
- Use the method of matrix inverses to solve the system of
equations
- Sketch the graph of
*f*(*x*)=|3*x*-12|. Identify and include any intercepts in your sketch. - Solve each of the following for x:
- Which of the following (if any) represent
*y*as a function of*x*?- .
- .

- .
- Use the
**elimination method**to solve the following system: - Consider the supply and demand curves in the sketch below:
- At what price are 20 items supplied?
- Find the equilibrium demand
**and**the equilibrium price. - Are the supply and demand curves linear, quadratic, exponential, logarithmic, or none of these? (graph)

- A small resort must add a swimming pool to compete with a new resort built nearby. The pool will cost $28,000. The resort borrows the money and agrees to repay it in equal payments at the end of each quarter for years at an interest rate of 6% compounded quarterly. Find the amount of each payment.
- Consider the function
.
- What is the domain of
*f*(*x*). - Find any intercepts and asymptotes.
- Sketch the graph of
*f*(*x*), including the intercepts and asymptotes in your sketch.

- What is the domain of
- If , , and
.

Find . - Using the
**Gauss-Jordan**method, solve the system of equations: - A patient was admitted to a hospital with a declining white
blood cell count, described by the equation:
where

*t*is time in hours since the patient was admitted, and*y*is the blood count.- What was the patient's minimum blood count, and when did it occur?
- When the patient's blood count reached 3225, the patient was discharged. When did this occur?
- Is the given equation linear, quadratic, exponential, logarithmic, or none of these?

- The Waputi Indians make woven blankets, rugs, and skirts. Each
blanket requires 24 hrs for spinning the yarn, 4 hrs for dying the
yarn, and 15 hrs for weaving. Rugs require 30 hrs for spinning, 5 hrs
for dying, and 18 hrs for weaving. Skirts require 12 hrs for
spinning, 3 hrs for dying, and 9 hrs for weaving. There are 306 hours
available for spinning, 59 hrs for dying, and 201 hrs for weaving.
Set up a system of equations which could be used to determine the
number of blankets, rugs, and skirts made.
**Do not solve!** - Let

- Give the dimensions of each matrix, and identify any square, column, or row matrices.
- Find the following if possible:
- CA
- E-2D
- BA
- CB

- Future value for simple interest:
- Future value for compound interest:
- Future value of an ordinary annuity:
- Future value of an annuity due:
- Present value of an annuity:
- Amortizing a loan:

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