Answer: $115.5
Step-by-step explanation:
The woman bought a coat for $99.95 and some gloves for $7.95. This means that the total amount of money that the woman would have paid for the coat without tax is
99. 95 + 7.95 = $107.9
If the sales tax was 7%, then the amount paid as sales tax would be
7/100 × 107.9 = 0.07 × 107.9 = $7.553
Therefore, the amount that she would pay to purchase the coat and the gloves is
107.9 + 7.553 = 115.453
= $115.5 rounded up to the nearest cent.
Maximum production p=552728
Step-by-step explanation:
The equation for maximum production is : 
The number of units of labor is x @$72
The number of units of capital is y @$40
The total cost of labor and capital is limited to $270,000, this can be written as;
72x+40y ≤ $270,000
Graphing the inequality to find values of x and y ,from the graph;
x=3750 units
y=6750 units
Applying the expression for maximum production
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Inequalities graphs :brainly.com/question/11386040
Keywords: maximum, production,cost, labor,limited to,capital ,unit
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5 is a prime factor of 155. Dividing 155 by 5, we get 31. 1*5*31 = 155.
Based on the calculations, the coordinates of the mid-point of BC are (1, 4).
<h3>How to determine coordinates of the mid-point of BC?</h3>
First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:
At the origin x₁ = 0, we have:
y = 2x + 1
y₁ = 2(0) + 1
y₁ = 2 + 1
y₁ = 3.
When x₂ = 2, we have:
y = 2x + 1
y₂ = 2(2) + 1
y₂ = 4 + 1
y₂ = 5.
In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
Midpoint = (x₁ + x₂)/2
Midpoint = (0 + 2)/2
Midpoint = 2/2
Midpoint = 1.
Midpoint on y-coordinate is given by:
Midpoint = (y₁ + y₂)/2
Midpoint = (3 + 5)/2
Midpoint = 8/2
Midpoint = 4.
Therefore, the coordinates of the mid-point of BC are (1, 4).
Read more on midpoint here: brainly.com/question/4078053
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