Answer:
First space: 15
Second space: 20
Third space: 0
Fourth space: 20
Step-by-step explanation:
If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:
P(x) = (20 - x)*(30+3x)
P(x) = 600 +30x - 3x2
The vertical axis of the graph represents the profit P(x) of the florist.
So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15
Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)
The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0
Answer:
the answer to your question is C
Step-by-step explanation:
Answer: 5 ft
Step-by-step explanation:
Area of a rectangle (which is the shape of a regular flag) = L* W.
W = Area/L = 9.5/1.9 = 5ft.
Answer:
The volume of the sculpture is 67.824 ft^3
Step-by-step explanation:
In this question, we are to calculate the volume of a conical sculpture, given the height of the sculpture and the circumference of the base.
Mathematically, the volume V of the sculpture is given by;
V =1/3 * π * r^2 * h
Now, we have the height directly from the question but we do not have the value of the radius.
We can obtain the value of the radius from the circumference of the base
Mathematically, the circumference C of the base of the cone is given by;
C = 2 * π * r
Inputing the value of the circumference, we have;
22.608 = 2 * 3.14 * r
r = 22.608/(2 * 3.14)
r = 22.608/6.28
r = 3.6 feet
Now plugging these values into the volume equation, we have
V = 1/3 * 3.14 * 3.6^2 * 5
V = 67.824 ft^3
