A high school wants to sell postage stamps with the school logo on them. The fundraising group have purchased 500 sheets of stam
ps at $16/sheet plus $50 to create the image. They plan to sell each sheet for $20. a) Write an equation that represents the cost of obtaining the stamps. b) Write an equation that represents the income from sales. c) For each equation, set up a table of values. d) Graph each equation on the same set of coordinate axis. e) What is the minimum number of sheets the group must sell so they don't lose any money? f) How much profit will they make if they sell 500 sheets?
1 answer:
Response:
a) Expense
b) Revenue from sales
c) Values table
d) Included
e) Breakeven point = 12.5 sheets
f) Earnings at 550 sheets = $1,950
In-depth analysis:
a) There is a fixed cost of $50 for the image.
Additionally, there is a variable cost of $16 for each sheet.
The total quantity purchased is 500 sheets.
Thus, the cost function can be established as:
b) Each sheet sells for $20, leading to:
c) Values table
d) Included
e) To avoid losses, the minimum number of sheets that must be sold is determined by the breakeven point (BEP), calculated by equating sales income to costs:
f) Profit is computed as the difference between sales income and the cost:
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Answer:
For a clearer understanding, refer to the attached figure:
Step-by-step breakdown:
1. According to the unique line postulate, only one line segment can be created: BC
This is because a single line can only connect two distinct points.
2. Utilizing the definition of reflection, reflect BC across l.
To identify the line segment reflected over l, we will apply the reflection definition.
3. Based on the reflection definition, C remains as its own image and A represents the image of B.
The reflection definition states that a figure is transformed into a mirror image around a line. Thus, CD serves as the perpendicular bisector of AB, which makes A and B equidistant from D, producing their mirror images.
4. Because reflections maintain length, we find that AC = BC
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Réponse:
Le domaine est l'ensemble des nombres réels
y ≤ 16
Explication étape par étape:
Le domaine est l'ensemble des valeurs x que le graphe couvre. Il n'y a aucune restriction sur les valeurs x. Le domaine est l'ensemble des nombres réels.
La plage est l'ensemble des valeurs y que le graphe couvre. Les valeurs y atteignent au maximum 16 au sommet de la parabole. Ainsi, la plage est y ≤ 16.
Answer:
The null hypothesis is stated as H₀: μ = 100
The alternative hypothesis is Hₐ: μ < 100
Evidence suggests that the average location in Wade Tract is 100
Step-by-step explanation:
We define our null hypothesis as H₀: μ = 100, where the average location of trees in the Wade Tract amounts to 100.
Our alternative hypothesis thereby is stated as Hₐ: μ < 100 at a 95% confidence level.
Proposed average location in Wade Tract is μ = 100.
The sample mean computes to = 99.74.
The standard deviation is s = 58.
The sample size n = 584.
Using the t-test formula yields the following results:
Consequently, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025
We calculate = -1.65
Substituting values into the t-test formula gives t = -0.108338, producing a p-value of p = 0.4569, which exceeds α, hence we accept the null hypothesis, indicating that there is adequate statistical evidence supporting the average location of Wade Tract = 100.