Answer:
3). 1.21
4). 0.57
Step-by-step explanation:
Quarter = 25 cents
Nickel = 5 cents
Penny = 1 cent
An algebraic expression is a phrase in mathematics that consists of numbers such as 1,2,3 and the like, variables which are represented with letters and operations like addition, multiplication, subtraction and division. It is usually used to represent a certain situation which would relate the variables involved. To write the algebraic expression for the problem statement above, we do as follows:
Let x = number of consoles to be bought
y = number of games to be bought
z = number of controllers to bebought
C = total cost of all
The total cost would be equal to the sum of the price multiplied by the number of consoles, games and controllers bought. We write the algebraic expression as follows,
C = 299x + 59.99y + 29.99z
1) Venn Diagram is used to organize data
2) Four circles. Three intersection circles, and one which contains other three circles
3) In the intersection area of three circles.
4) In the circle which contains other three circles, but not inside any of the intersecting circles.
Answer:
a) $50,880
b) $48
c) 1060
Step-by-step explanation:
a)
-320x^2 + 1920x + 48000 = 0
This is a parabola that opens downward. It has a maximum value. The maximum value occurs at x = -b/(2a)
x = -b/(2a) = (-1920)/(2(-320)) = 1920/640 = 3
The maximum revenue, y, is the value of the function evaluated at x = 3.
f(x) = -320x^2 + 1920x + 48000
f(-3) = -320(3)^2 + 1920(3) + 48000
f(-3) = 50,880
The maximum revenue is $50,880
b)
Since maximum revenue occurs at x = 3, and since x represents the number of $4 discounts, the discount is 3 * $4 = $12. The price is $60 - $12 = $48
c)
$50,880/$48 = 1060
