Business math statistics ivy software
,1. x^5 = 32
solve for x: x = 2
2. 2^x = 16
solve for x: x = 4
3. Solve for x and y for these simultaneous equations: 3x = 14-5y
7x+2y = 23: x = 3
y=1
4. Equation for Total Cost: Total costs = (variable cost per unit * number of units produced) +
Fixed Costs
5. Material $75/television Direct
Labor $40/television
New Manufacturing Equipment $1,500,000 Modifications to Factory
$3,000,000
If this company is considering building 10,000 units this year (and needs money for the entire ye
allotted to it now for this purpose), for how much should the president ask?: $ 5,650,000
6. Contribution Margin: (price per unit X * # of units sold) - (variable cost per unit X * units
sold)
7. Breakeven: Breakeven = Fixed Costs/Contribution Margin per unit
8. A company is making a product and has invested $100,000 on an advertising campaign and
$75,000 each on five salespeople (annual salary, including benefits and support). These are the
only fixed costs that the company has assigned to the product, and the contribution margin per
unit is $50. To cover those fixed costs, how many units will the company have to sell to
breakeven?: [($75,000*5) + $100,000] / $50/unit = 9,500 (breakeven level in units)
9. abscissa: The x-coordinate of a point (independent variable)
10. ordinate: The y-coordinate of a point (dependent variable)
11. True/False: the fixed costs for a certain project are $50 and it costs $2 to produce one unit.
The equation that relates y (total costs) to x (total number of units produced) is y = 2 + 50x:
False. It would be y = 50 + 2x
12. Which of the following is the monomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76: B) 143x^4 + 3x^4 - its the only term where the x's can be added
together to get one term
13. Write an equation to related total cost to number of driveways paved. Asphalt, tar &
concrete/driveway = $7,000
, Direct Labor/Driveway = $12,000
Office Expenses & Other Labor = $5,000: y = 19x + 5
14. Which of the following is the binomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76: C) 143x^4 + 78x^4 + 6x^4 + 76 - tis the only term where the x's
can be added together to get two terms
15. Which of the following is the trinomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76: A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 - its the only term where
the x's can be added together to get three terms
16. True/False: the Contribution Margin is the amount that can be contributed to fixed costs.:
True: the contribution margin is the amount the company receives from the sales of its product
minus the product's variable costs. Therefore, the amount remaining (after variable costs) can be
used to pay the company's fixed costs.
17. True/False: When the following equation hold true, we are at the breakeven level in dollars:
Sales - Variable Costs = Fixed Costs: True
18. True/False: for the equation 2x - 3y = 6, the x and y intercepts are x=3, y=-2: True
19. When solving for an unknown variable that has a number preceding it, you will divide both
sides of the equation by this number, which is known as the:
A) base
B) power
C) exponent
D) coefficient
E) none of the above: D) coefficient
20. To separate an unknown variable from its exponent one should:: multiply the exponent by
its inverse
21. Which of the following are fixed costs: Sales, office payroll (receptionist & bookeeper),
advertising, home remodeling, office remodeling, sales com- mission, interest expense: office
payroll, advertising, office remodeling, interest expense
22. Given these two equations, solve for x and y:
8x = 2y + 36 and 9y = 3x + 3: (5,2)
23. What is the correct order for separating, ordering and organizing of expres- sions?
,1. x^5 = 32
solve for x: x = 2
2. 2^x = 16
solve for x: x = 4
3. Solve for x and y for these simultaneous equations: 3x = 14-5y
7x+2y = 23: x = 3
y=1
4. Equation for Total Cost: Total costs = (variable cost per unit * number of units produced) +
Fixed Costs
5. Material $75/television Direct
Labor $40/television
New Manufacturing Equipment $1,500,000 Modifications to Factory
$3,000,000
If this company is considering building 10,000 units this year (and needs money for the entire ye
allotted to it now for this purpose), for how much should the president ask?: $ 5,650,000
6. Contribution Margin: (price per unit X * # of units sold) - (variable cost per unit X * units
sold)
7. Breakeven: Breakeven = Fixed Costs/Contribution Margin per unit
8. A company is making a product and has invested $100,000 on an advertising campaign and
$75,000 each on five salespeople (annual salary, including benefits and support). These are the
only fixed costs that the company has assigned to the product, and the contribution margin per
unit is $50. To cover those fixed costs, how many units will the company have to sell to
breakeven?: [($75,000*5) + $100,000] / $50/unit = 9,500 (breakeven level in units)
9. abscissa: The x-coordinate of a point (independent variable)
10. ordinate: The y-coordinate of a point (dependent variable)
11. True/False: the fixed costs for a certain project are $50 and it costs $2 to produce one unit.
The equation that relates y (total costs) to x (total number of units produced) is y = 2 + 50x:
False. It would be y = 50 + 2x
12. Which of the following is the monomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76: B) 143x^4 + 3x^4 - its the only term where the x's can be added
together to get one term
13. Write an equation to related total cost to number of driveways paved. Asphalt, tar &
concrete/driveway = $7,000
, Direct Labor/Driveway = $12,000
Office Expenses & Other Labor = $5,000: y = 19x + 5
14. Which of the following is the binomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76: C) 143x^4 + 78x^4 + 6x^4 + 76 - tis the only term where the x's
can be added together to get two terms
15. Which of the following is the trinomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76: A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 - its the only term where
the x's can be added together to get three terms
16. True/False: the Contribution Margin is the amount that can be contributed to fixed costs.:
True: the contribution margin is the amount the company receives from the sales of its product
minus the product's variable costs. Therefore, the amount remaining (after variable costs) can be
used to pay the company's fixed costs.
17. True/False: When the following equation hold true, we are at the breakeven level in dollars:
Sales - Variable Costs = Fixed Costs: True
18. True/False: for the equation 2x - 3y = 6, the x and y intercepts are x=3, y=-2: True
19. When solving for an unknown variable that has a number preceding it, you will divide both
sides of the equation by this number, which is known as the:
A) base
B) power
C) exponent
D) coefficient
E) none of the above: D) coefficient
20. To separate an unknown variable from its exponent one should:: multiply the exponent by
its inverse
21. Which of the following are fixed costs: Sales, office payroll (receptionist & bookeeper),
advertising, home remodeling, office remodeling, sales com- mission, interest expense: office
payroll, advertising, office remodeling, interest expense
22. Given these two equations, solve for x and y:
8x = 2y + 36 and 9y = 3x + 3: (5,2)
23. What is the correct order for separating, ordering and organizing of expres- sions?
