Answer:
$2.50
Step-by-step explanation:
7.50 - 5.00 = 2.50
They sell the shirts for $2.50 more than the original price so profit $2.50 off each shirt .
The dimensions that give the maximum area is 5 cm by 5 cm.
Given:
The perimeter of this rectangle is 20 cm, and formula for perimeter is
P= 2(W+L)
P = 20 cm = 2W + 2L.
Then W + L = 10 cm,
or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized.
On substituting the values, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Therefore, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
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Answer:
5 cm by 5 cm
Step-by-step explanation:
The perimeter of this rectangle is 20 cm, and the relevant formula is
P = 20 cm = 2W + 2L. Then W + L = 10 cm, or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized. Subbing (10 cm) - L for W, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Thus, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
Answer:
hey one point goes through (-1.5,0) and( 0,3)
Step-by-step explanation:
Hope this helps
pls put brainliest
Answer:
Step-by-step explanation:
salary per year=1200×12=14400
let the sale be $ x
14400+38 % of x=35,000
38 % of x=35,000-14,400=20,600
x=20,600 \times \frac{100}{38}=$ 54210.53
To earn $35,000 per year, the sales rep must generate approximately 54,210 sales.
To find out how many sales the wholesale food sales rep must generate in order to earn $35,000 per year in total compensation, we need to set up an equation based on the given information. Let's assume the sales generated by the rep are 'x'. The total compensation can be calculated as:
Total Compensation = Base Salary + Commission
$35,000 = $1200/month + 0.38x
Now, we can solve this equation to find 'x', the number of sales needed. First, let's convert the monthly base salary to yearly:
$1200/month * 12 months = $14,400/year
Substituting this value into the equation:
$35,000 = $14,400 + 0.38x
Now, we can isolate 'x' by subtracting $14,400 from both sides of the equation:
$20,600 = 0.38x
Finally, divide both sides of the equation by 0.38:
x = $20,600 / 0.38 = 54,210
Therefore, the wholesale food sales rep must generate approximately 54,210 sales in order to earn $35,000 per year in total compensation.
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