Scatter plot - You want to see the correlation of the two. By graphing a scatter plot, you can determine if there is a positive, negative, strong or weak correlation among the information.
Answer:
length is 16 meters
width is 11 meters
Step-by-step explanation:
Let x = width
Let y= length
y=x+5 because length is 5 meters more
2(x+y)=54
2(x+x+5)=54 substitution
2(2x+5)=54 4x+10=54 simplify
4x=44
x=11
substituting: y=11+5=16
therefore,
length is 16 meters
width is 11 meters
Answer:
The distance between the two given points is 5.
Step-by-step explanation:
As we move from (8,13) to (11,9), the change in x is 3 and that in y is -4.
Note that these distances are at right angles to one another. We apply the Pythagorean Theorem to find the length of the diagonal connecting the two points, whose length is the desired distance:
d = √(3² + [-4]²) = √25, or just 5.
The distance between the two given points is 5.
Answer:
A. C(x) = 30.000 + 2500x
B. R(x) = 3125x
C. 48 items break even point
Step-by-step explanation:
A. The cost function C(x) is fixed cost plus variable cost.
In this case overhead works as fixed cost, we can write:
C(x) = 30.000 + 2500x
B. Revenue R(x) would be the price multiplied by quantity of items (x).
R(x) = 3125x
C. Break even point
To get the break even point we set R(x) = C(x) and find the value of x.
R(x) = C(x)
3125x = 30.000 + 2500x
3125x-2500x=30.000
625x=30.000
x=30.000/625
x=48
It means when you sell 48 items the costs will even revenue. So if you sell more than 48, then it's going to be profitable. If you sell less than 48, you will be losing money.
Answer:
1a)
y = 85 * 1.09 ^ x
(^ = 'to the power of')
2a)
y = 100 * 0.87 ^ x
0.87 is 13% less than 1 (or 100%)
