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Study Sheet for Test 1 - Math for Business, Life Science | MATH 121, Exams of Mathematics

Material Type: Exam; Class: Math for Bus, Life Science; Subject: Mathematics; University: Lander University; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/17/2009

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MATH 121 – 19 CHAPTER 1&2/TEST 1 STUDY SHEET
1. 3X - 4 = 5X + 3
8 2
2. X + 2 = 2X – 7
5 3
3. Graph: y = x² + 4x – 32
a. Give the Vertex Point
b. Give the y-intercept
c. Give the X-intercepts
d. Graph it
4. Find the Domain of each:
a. y = -2x + 7
b. y = (x+5) square root of the group (x+5)x+5) square root of the group (x+5) square root of the group (x+5)x+5)
c. y = x + 2
x + 7
5. You will invest $75000 in two types of stock. You will need to earn $9810 per
year in order to pay the taxes and insurance on your beach-front property.
How much will you invest in each if one stock earns a 15% return and the
other one a 9% return?
6. Fixed costs per week for a computer company is $3250 and the variable
cost on the computer they supply is $500. If the computers sell for $1150
each, find the following:
a. The Revenue Function
b. The Cost Function
c. The Profit Function
d. The Break-even quantity
pf2

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MATH 121 – 19 CHAPTER 1&2/TEST 1 STUDY SHEET

1. 3X - 4 = 5X + 3

2. X + 2 = 2X – 7

  1. Graph: y = x² + 4x – 32 a. Give the Vertex Point b. Give the y-intercept c. Give the X-intercepts d. Graph it
  2. Find the Domain of each: a. y = -2x + 7 b. y = (x+5) square root of the group (x+5)x+5) square root of the group (x+5) square root of the group (x+5)x+5) c. y = x + 2 x + 7
  3. You will invest $75000 in two types of stock. You will need to earn $9810 per year in order to pay the taxes and insurance on your beach-front property. How much will you invest in each if one stock earns a 15% return and the other one a 9% return?
  4. Fixed costs per week for a computer company is $3250 and the variable cost on the computer they supply is $500. If the computers sell for $ each, find the following: a. The Revenue Function b. The Cost Function c. The Profit Function d. The Break-even quantity
  1. A Retailer will buy 5 pairs of designer tennis shoes if they cost $120 per pair and 50 pairs if they are $30 per pair. The Wholesaler is willing to supply 10 pairs for $100 per pair or 30 pairs for $160 per pair. a. Write the Demand function b. Write the Supply function c. Find the Market Equilibrium point (x+5) square root of the group (x+5)q,p)
  2. Solve the following systems of equations: a. 2x + 5y = 17 x + 2y = 5 b. 3x – 7y = 12 5x + 2y = 6 c. 4x – 3y = 6 -12x + 9y = 10
  3. A person on a special diet must have 950 calories in protein and 2900 calories in carbs per day. If pinto beans give 150 calories of protein and 300 calories of carbs per cup, and wheat pasta gives 400 calories in carbs and 100 calories in protein per cup, how many cups of each should the diet contain?