Her expenses:
($24 x 150) + $120 = $3,600 + $120 = $3,720
Her profit:
$30 x 150 = $4,500
Total profit:
$4,500 - $3,720 = $780
Answer: B ) $780
<h3>Given</h3>
n packages of pencils are purchased at $1.40 each
m pads of paper are purchased at $1.20 each
<h3>Find</h3>
the meaning of 1.4n
the meaning of 1.2m
the meaning of 1.4n + 1.2m
<h3>Solution</h3>
1.4n is the <em>number of dollars spent on packages of pencils</em>
1.2m is the <em>number of dollars spent on pads of paper</em>
1.4n + 1.2m is the <em>total amount spent on the supplies</em>
Answer:
$85.60
Step-by-step explanation:
We add the percentage of sales tax to the total. This means we are paying 100% + 7% tax, or 107%.
107% = 107/100 = 1.07; this gives us
80(1.07) = 85.60.
Answer:
Length of the rectangle = 9.58 feet and width = 27.14 foot
Step-by-step explanation:
Let the length of the rectangular area is = x feet
and the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 260
y =
-------(1)
Cost to fence the three sides = $3 per foot
Therefore cost to fence one length and two width of the rectangular area
= 3(x + 2y)
Similarly cost to fence the fourth side = $14 per foot
So, the cost of the remaining length = 14x
Total cost to fence = 3(x + 2y) + 14x
Cost (C) = 3(x + 2y) + 14x
C = 3x + 6y + 14x
= 17x + 6y
From equation (1)
C = 
Now we take the derivative,
C' = 17 - 
To minimize the cost of fencing,
C' = 0
17 -
= 0
= 17


x = 9.58 foot
and y =
y = 27.14 foot
(8, 9) will be the midpoint of the segment.
You can find this by applying the formula
(x1 + x2)/2 , (y1 + y2)/2