A. Profit (P):
P = 100 x
Revenue (R) is Profit – Cost:
R = P – C
R = 100 x – [2750 + 8x + 0.1x^2]
R = 100x – 2750 – 8x – 0.1x^2
R = -0.1x^2 + 92x – 2750
B.
To make a profit, R must be zero, R = 0:
0 = -0.1x^2 + 92x – 2750
x^2 – 920x = - 27,500
Completing the square:
<span>x^2 – 920x + 211,600 = - 27,500 + 211,600</span>
(x – 460)^2 = 184,100
x – 460 = ± 429.07
x = 30.93, - 889.07
Therefore sell at least 31.
31<x<500
<span> </span>
Answer:
-3
Step-by-step explanation:
Answer:
Addition
Step-by-step explanation:
Since you are trying to make x the subject, you need to "get rid" of the -2. So, because it is a negative number, you add 2 to make it 0, which is added to both sides, making x = 7.
Hope this helps!
Answer: 130
In order to solve for <4, you need to know that supplementary angles add up to 180°.
<3 = 50
180 - 50
130
**For future questions**
1. The sum of the interior angles of a triangle is 180°
2. Alternate interior angles are congruent
3. The exterior angle of a triangle is the sum of the nonadjacent interior angles
See attachment below.
The 21 consonants are :
b c d f g h j k l m n p q r s t v w x y z
The 5 vowels are :
a e i o u
Now, to arrange the consonants there are 21! ways.
Now the vowels can be arranged in 22 ways because one vowel can be placed before 'b' and one after 'z' also.
It can be shown like this : (V represents vowels)
V b V c V d V f .......................
Therefor the ways to put vowels will be :
The complete order to place consonants without repeating vowels becomes: