The linear equation to model the company's monthly expenses is y = 2.5x + 3650
<em><u>Solution:</u></em>
Let "x" be the units produced in a month
It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.
Cost per unit = $ 2.50
The company has monthly operating expenses of $350 for utilities and $3300 for salaries
We have to write the linear equation
The linear equation to model the company's monthly expenses in the form of:
y = mx + b
Cost per unit = $ 2.50
Monthly Expenses = $ 350 for utilities and $ 3300 for salaries
Let "y" be the total monthly expenses per month
Then,
Total expenses = Cost per unit(number of units) + Monthly Expenses
Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650
x y
1 290
2 280
3 270
4 260
5 250
6 240
7 230
8 220
9 210
10 200
11 90
12 180
13 170
14 160
15 150
16 140
17 130
18 120
19 110
20 100
21 90
22 80
23 70
24 60
25 50
26 40
27 30
28 20
29 10
30 0
12 seniors of 25 total seniors voted for candid pictures, so it would be
12/25, or 48%
When the demand and supply curve intersect, that is, where the quantity demanded and quantity supplied are equal, the market is said to be in equilibrium. Thus, the given quantity is equilibrium quantity.
From the graph, we see that when the production cost of wheat is $4, the equilibrium quantity is 600 units.
When the production cost lowers from $4 to $3, the supply of wheat increases, such that the equilibrium quantity increases from 600 units to 800 units.
Thus, after an increase in supply, the equilibrium quantity increases.
So, Option A is the correct answer.
Answer:
Possible value of k is √2
Step-by-step explanation:
The information given are;
The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;
2·(√k - 1) + √8 - 6·√2 = R
Therefore, simplifying gives;
2·√k - 2 + 2·√2 - 6·√2 = 2·√k - 2 - 4·√2 = R
2·√k - 2 - 4·√2 + 2= R + 2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R
(√k - 2·√2) = R/2 = R
Therefore, √2 is a factor of √k such that √k - 2·√2 = R
Which gives k = x·√2, where x = a rational number
When x = 1, k = √2.
Therefore, a possible value of k is √2
