manuel calculates the business costs and profits to produce and hiking backpacks. manuel's profit is his revenue minus his expenses.
A. Write a function to present the profit Manuel makes selling n backpacks.
B. Graph the profit function. What is a reasonable domain for this function for one year if his revenue is between $4,000 and $30,000? Is the function discrete or continuous? Explain
C. How much is his profit if he sells 43 backpacks? Explain
setup cost is $5,250 assembly cost is $54/ backpack revenue is $159/ backpack
Answers
Answer:
A. P = n × $105 - $5,250
B. Please find attached the required graph
The domain for the range ($30,000 to $4,000) = 25 < n < 189
C. The profit from selling 43 backpacks = -$735
Step-by-step explanation:
A. The given parameters are;
The setup cost = $5,250
The assembly cost = $54/backpack
The revenue = $159/backpack
Let n represent the number of backpack produced
Therefore, we have;
Profit, P = $ 159 × n - $54 × n - $5,250
P = n × ($ 159 - $54) - $5,250 = n × $105 - $5,250
P = n × $105 - $5,250
B. Please fins attached the graph of the profit function, created with Microsoft Excel
The domain for a range of revenue of $30,000 to $4,000 is given as follows;
The domain for the range ($30,000 to $4,000) = 25 < n < 189
C. The amount of profit from selling 43 bags = P(43) = 43 × $105 - $5,250 = -$735
Related Questions
please help me this is worth alot of points:(
Answers
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Find the slope of the line passing through (-9,3), (-3,-5)
Answers
Answer:
-4/3
Step-by-step explanation:
Slope: (y2-y1)/(x2-x1)
(-5-3)/(-3+9) = -8/6 = -4/3
The slope is -4/3
What is the product of 6 and one-half and 9 and one-fourth? 15 and three-fourths 54 and StartFraction 1 Over 8 EndFraction 60 and StartFraction 1 Over 8 EndFraction 80 and StartFraction 1 Over 6 EndFraction
Answers
Answer:
(B) 54 1/8
6×9
x is less than 6 and greater than -1
Answers
Answer:
0, 1,2,3,4,5
Step-by-step explanation:
...............
need help with this question
Answers
Answer:
the number of grain of salt in the packet
5,401.23
Step-by-step explanation:
1 grain .................... 6.48x10^-5 kg salt
x grain.................... 0.35 kg salt
x= 5,401.23
a) The number of grains of salt in the packet are 5.4 x [tex]10^6[/tex] grains. b) The answer in part (a) is unlikely to be the actual number of grains of salt in the packet because the weight of a grain of salt can vary.
a) The number of grains of salt in the packet can be calculated as follows:
number of grains = total weight of salt / weight of one grain
= 0.35 kg / 6.48 x [tex]10^{-5[/tex] kg/grain
= 5.4 x [tex]10^6[/tex] grains
b) The answer in part (a) is unlikely to be the actual number of grains of salt in the packet because the weight of a grain of salt can vary. The average weight of a grain of salt is 6.48 x [tex]10^{-5[/tex] kg, but the actual weight can be anywhere from 6.2 x [tex]10^{-5[/tex] kg to 6.7 x [tex]10^{-5[/tex] kg. This means that the actual number of grains of salt in the packet could be anywhere from 5.2 x [tex]10^6[/tex] grains to 5.6 x [tex]10^6[/tex] grains.
In addition, the density of salt can also vary slightly, which would also affect the number of grains of salt in the packet.
Therefore, the answer in part (a) is only an estimate of the actual number of grains of salt in the packet.
To learn more about weight here:
https://brainly.com/question/23312072
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What is the slope of the line that passes through the points (-4,2) and (2,-1)
Answers
Answer:
1/-2 is the slope
Step-by-step explanation:
[tex]\frac{2-(-1)}{-4-2} = \frac{2+1}{-4-2} = \frac{3}{-6} = \frac{1}{-2}[/tex]
Answer:
-1/2
Step-by-step explanation:
find the difference btwn the second and first y coords.
-1 - 2 = -3
find the difference between second and first x coords.
2 - -4 = 6
-3/6 simplifies to -1/2
List the following numbers from least to greatest: -12, 0.7, 3/4, -15, 0.05
Answers
Answer:
-15, -12, 0,05, 0,7, 3/4
Answer: That's easy, the answer is –15, –12, 0.05, 0.7, and 3/4 (0.75).
Step-by-step explanation:
HELP I DONT UNDERSTAND!
Answers
Answer:
B
Step-by-step explanation:
5/2=15/6=20/8=2.5
help me A box of cereal weighs 600 grams. How much is this weight in pounds? Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds)
The box of cereal weighs
Question Blank
type your answer...
pounds.
Answers
Answer:
1.32lb
Step-by-step explanation:
We will first have to calculate the grams to kilogram,
600g = 0.6kg
Since 1 kilogram represents 2.2 pound we will multiply 0.6 by 2.2 to get the pounds
0.6 * 2.2
= 1.32lb
You start a new business. The location costs $100,000 to rent for one year. The items cost you $12 to make. You sell the items for $20 each. How many items do you have to sell to break-even (make back what you spent) ?
Answers
Answer:my stuff is gliched
Step-by-step explanation:
At a sale, suits were sold for $116 each. This price was 58% of a suit's original price. How much did a suit originally cost?
Answers
58% is 0.58.
Then divide the discounted price ($116) by the % in decimal form:
116 / 0.58
Original price is $200.00
Proportions answer pls
Answers
Answer:
Y equals -1/5
Answer:
y = -0.2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
[tex]\frac{3.6}{0.2(6y + 1)} =\frac{9}{0.5y}[/tex]
Step 2: Solve for y
Distribute 0.2: [tex]\frac{3.6}{1.2y + 0.2} =\frac{9}{0.5y}[/tex]Cross-multiply: [tex]9(1.2y + 0.2) =3.6(0.5y)}[/tex]Distribute: [tex]10.8y + 1.8 =1.8y[/tex]Subtract 1.8y on both sides: [tex]9y + 1.8 =0[/tex]Subtract 1.8 on both sides: [tex]9y = -1.8[/tex]Divide both sides by 9: [tex]y = -0.2[/tex]Step 3: Check
Plug in y to verify it's a solution.
Substitute: [tex]\frac{3.6}{0.2(6(-0.2) + 1)} =\frac{9}{0.5(-0.2)}[/tex]Multiply: [tex]\frac{3.6}{0.2(-1.2 + 1)} =\frac{9}{-0.1}[/tex]Add: [tex]\frac{3.6}{0.2(-0.2)} =\frac{9}{-0.1}[/tex]Multiply: [tex]\frac{3.6}{-0.04} =\frac{9}{-0.1}[/tex]Divide: [tex]-90=-90[/tex]Here we see that -90 does indeed equal -90. ∴ y = -0.2 is indeed a solution of the equation.
(28 ⋅ 3−5 ⋅ 60)−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228
Answers
The answer would look like this:
(2^8 × 5^–5 × 19^0)–2 ×× 228 = (2^–16 × 5^10 × 19^0) × × 2^28 = (2^–16 × 5^10 × 1) × × 2^28 = (2^–16 × 5^10 × 1) × 5^–8 × 2^–12 × 2^28 = (2^–16 × 2^–12 × 2^28) ×(5^10 ×5^–8) = 2^–28 × 2^28× 5^2 = 2^0 × 25 = 25
A train leaves the station at time t0. Traveling at a constant speed, the train travels 360 kilometers in 3 hours. Write a function that relates the distance traveled d to the time t
Answers
Answer:
d=120t
Step-by-step explanation:
i dont have an explanation for this i just got it wrong and im giving you the answer hope this helps also you have to put it in exactly like this
d = 120t
^^^^^^^^
The function that relates the distance traveled d to the time t is (d = 120t) and this can be determined by using the formula of speed.
Given :
A train leaves the station at time t0. Traveling at a constant speed, the train travels 360 kilometers in 3 hours.The following steps can be used in order to determine the function that relates the distance traveled d to the time t:
Step 1 - The formula of speed can be used in order to determine the function that relates the distance traveled d to the time t.
Step 2 - The speed formula is given below:
[tex]\rm s = \dfrac{d}{t}[/tex]
where distance is 'd' and time is 't'.
Step 3 - Now, substitute the values of d = 360 and t = 3 in the above formula.
[tex]\rm s = \dfrac{360}{3}[/tex]
s = 120 km/hr
Step 4 - Now, at time 't' the distance is given by:
[tex]120=\dfrac{d}{t}[/tex]
d = 120t
For more information, refer to the link given below:
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In these pictures, you have to find the area
Answers
Which one is it please hurry. Thank you
Answers
Answer: I think it’s A if I am incorrect I am very sorry
Step-by-step explanation:
Jennifer earns $7.60 per hour working after school. She wants to buy a musical instrument and she needs at least $500. Write an inequality that describes how many hours she must work to buy the instrument.
Answers
Answer:
Step-by-step explanation:
let h be the number of hours.
7.60 h≥ 500
76h≥5000
In which section of the credit report is a list of creditors checking the report? (3 points)
a
personal information
b
public records
c
inquiries
d
account history
Answers
Answer:
I'm guessing c- public records
A bad contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in a bag
Answers
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answers
Answer:
ANSWER : 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
Divide. Reduce the answer to lowest terms.
3/7 ÷ 1 1/6
Answers
9514 1404 393
Answer:
18/49
Step-by-step explanation:
Invert and multiply:
3/7 ÷ 1 1/6 = (3/7) ÷ (7/6)
= (3/7)×(6/7) = (3×6)/(7×7)
= 18/49
Answer:
Step-by-step explanation:
3/7 / 7/6
3/7 x 6/7= 18/49
Please help me and put the right anwser pls
Answers
Answer:
Its letter A
the first one
Step-by-step explanation:
when it a big negative number it makes it the smallest
so it goes -418,-86,-66,-15
4.
Peppa has a carton with a dozen eggs in it. 6 eggs are brown.
The rest are white. What fraction of her eggs are white?
Answers
Answer:
6/12 or 1/2
Step-by-step explanation:
there ya go i think its right
1/3 (4+18) -2 2 plz answer
Answers
Answer: 6.8
Step-by-step explanation: ujjnnmmc’ecknjcnrjbbhf
Answer:
- 44/3
Step-by-step explanation:
if that spaced out 2 at the end is 22 then the above answer is right
Find the y-intercept of the line y=-4x +2. Write the point as a coordinate (x,
y). *
Answers
Answer:
(0, 2)
Step-by-step explanation:
You know the x-value has to be 0 in a y-intercept then you get you y-value by looking at b (assuming you are using y = mx + b) to get your y-value
Find three consecutive odd integers such that when the third is subtracted from five times
the sum of the first and second, the result is 798 more than the first.
Answers
9514 1404 393
Answer:
99, 101, 103
Step-by-step explanation:
Let x represent the smallest. Then the sum of the first two is (x+x+2) and the third is x+4. The problem statement tells us the relation ...
5(2x +2) -(x +4) = x +798
10x +10 -x -4 = x +798
8x = 792
x = 99
The integers are 99, 101, 103.
__
Check
5(99 +101) -103 = 99 +798
897 = 897 . . . . answer checks OK
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C, to the number of gallons of gas purchased, g.
Answers
Answer:
2.75g=c
Step-by-step explanation:
not quite sure what your asking, but this is my best answer you take the 2.75 base cost, add the variable G for the gallons purchased which gives you 2.75g which in the end would give you the total cost (C) giving you the equation 2.75g=c
if this isnt what you were asking id be happy to help if you elaborate more or post the exact question your needing help on
110 meters of fencing are used to fence a rectangular pasture of 750 square meters of farmland. If the length of the pasture is longer than the width, what is the width of the pasture in meters?
Answers
Answer:
25mStep-by-step explanation:
Perimeter of the rectangular pasture P = 2(L+W)
Area A = LW
L is the length
W is the width
Given
Perimeter = 110m
Area = 750m
If the length of the pasture is 40m longer than the width, then L = W+40
110 = 2L+2w
55 = L+W .....1
750 = LW.....2
Solving simultaneously
from 1; L = 55-W
substitute into 2;
750 = (55-W)W
750 = 55W-W²
-W²+55W -750 = 0
W²-55W+750 = 0
(W²-25W)-(30W+750) = 0
W(W-25)-30(W-25) = 0
(W-25)(W-30) = 0
W-25 = 0 and W-30 = 0
w = 25m and 30m
Since L = 55-W
L = 55-25 = 30m and;
L = 55-30 = 25m
Since we are told that length id longer than the width then, the width we are going to use is 25m
From the given equation, list the values of A, B, and C when put into
standard form. 6y - 2x = 5
A = -2, B = 6, C =5
A = 2, B = 6, C = 5
A = 2, B = -6, C = -5
Answers
Rewriting in standard form puts the x variable before the y variable:
-2x + 6y = 5
A is the value with x, B is the value with y and c is after the equal sign.
A = -2, B =6, C= 5
Ms. Cole has 4 yards of string. She cuts the string into pieces that are each 1/2 yard long. How many pieces of string does Ms. Cole have? One-eighth One-fourth 2/8
Answers
Answer:
8
Step-by-step explanation:
times the 1/2 (2) by 4 because of half
Answer:
8
Step-by-step explanation:
edge 2020