HELPPPPPPPP 17 PTSSSSSSSSSSSSSSSSSS
1 answer:
Answer:
A: 360
Step-by-step explanation:
Split the trapezoid into 2 shapes
Then find the area of the rectangle on the left:
18 × 15 = 270 square yards
Now for the triangle, first find the base by subtracting the 2 parallel lines:
25 - 15 = 10 yards
0.5(10 × 18) = 90 square yards
Add both areas to find total area:
270 + 90 = 360 square yards
All this can be seen in the figure below:
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Answer:
The net profit rate on the book is 5.41
Step-by-step explanation:
Given as :
The marks up percentage of book = m = 40%
The overhead rate is 16% of selling price
The cost price of book = c.p = $18.10
Let The profit = $p
Let The selling price = s.p
<u>Now, According to question</u>
mark up percentage =
I.e 40% =
Or, + 1 =
Or, =
Or, s. p =
∴ s.p = $25.34
So, selling price of book = s.p = $25.34
Now, The overhead percentage = 16%
i.e overhead rate =
Or, estimated cost = 16% × 25.34
I,e estimated cost = 0.16 × 25.34
∴ estimated cost = $4.05
Now,
Profit = selling price of book - estimated book cost
I.e p = $25.34 - $4.05
∴ p = $21.29
So, The profit rate% =
I.e The profit rate% =
∴ profit rate %= 5.41
So, The profit rate = p = 5.41
Hence, The net profit rate on the book is 5.41 Answer
Answer:
Step-by-step explanation:
The domain of all polynomials is all real numbers. To find the range, let's solve that quadratic for its vertex. We will do this by completing the square. To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out. That gives us:
The second rule is to take half the linear term, square it, and add it to both sides. Our linear term is 2 (from the -2x). Half of 2 is 1, and 1 squared is 1. So we add 1 into the parenthesis on the left. BUT we cannot ignore the 2 sitting out front of the parenthesis. It is a multiplier. That means that we didn't just add in a 1, we added in a 2 * 1 = 2. So we add 2 to the right as well, giving us now:
The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form. Completing the square gives us a perfect square binomial on the left.
and on the right we will just add 10 and 2:
Now we move the 12 back over by subtracting and set the quadratic back to equal y:
From this vertex form we can see that the vertex of the parabola sits at (1,-12). This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12. Therefore, the range is R={y|y ≥ -12}