Answer:
The price that maximizes the revenue is $63.75
Step-by-step explanation:
Analyzing the statement one after the other.
[tex]Initial\ Quantity = 550[/tex] ---- When ----- [tex]Initial\ Price = \$100[/tex]
When there's a reduction of $1, we have:
[tex]Quantity = 550 + 20x[/tex] and [tex]Price = 100 - x[/tex]
Where x represents the maximum reduction
At this point, we need to calculate the revenue (R)
[tex]R = Quantity * Price.[/tex]
[tex]R = (550 + 20x) * (100 - x)[/tex]
Open Brackets
[tex]R = 55000 - 550x + 2000x - 20x^2[/tex]
[tex]R = 55000 +1450x - 20x^2[/tex]
Differentiate both sides with respect to x
[tex]\frac{dR}{dx} = 0 + 1450 - 40x[/tex]
[tex]\frac{dR}{dx} = 1450 - 40x[/tex]
To maximize revenue;
[tex]\frac{dR}{dx} = 0[/tex]
So:
[tex]1450 - 40x = 0[/tex]
[tex]1450 =40x[/tex]
Solve for x
[tex]x = 1450/40[/tex]
[tex]x = 36.25[/tex]
Recall that:
[tex]Price = 100 - x[/tex]
Substitute [tex]x = 36.25[/tex]
[tex]Price = 100 - 36.25[/tex]
[tex]Price = 63.75[/tex]
Hence:
The price that maximizes the revenue is $63.75
Determinar que tipo de número racional es 34/34
Answer:
1 (Integers and whole number)
Step-by-step explanation:
Given:
Rational number = 34 / 34
Computation:
34 / 34 = 1
Integers and whole number
An integer is descriptively measured by the number without even a fraction which can be written.
What is the product of the GCF and LCM of 16 and 24?
Answer:
The greatest common factor of 16 and 24 is 8. The least common multiple is 48.
Step-by-step explanation:
Hope this helps!
Find the surface area of a rectangle and square units
Answer:
considering you didn't put anything to solve, I can't, but I will explain how
Step-by-step explanation:
basically, you multiple length x width. Considering you said surface area, which is normally used for prisms, you would find the are of the different rectangles and then add them all together if you were to do a rectangular prism.
Maya bought a dozen specialty donuts at the bakery for $18. She purchased a mixture of frosted donuts for $2 each, glazed donuts for $1 each, and custard filled donuts for $5 each. If Maya purchased twice as many frosted donuts as custard filled donuts, how many of each type of donut did she buy? Variables: mixture of frosted donuts X y = glazed donuts Z = custard filled donuts System: System in standard form:
Answer:
The quantity of frosted donuts = 2
The quantity of glazed donuts = 9
The quantity of custard filled donuts = 1
Step-by-step explanation:
Let the quantity of frosted donuts = [tex]x[/tex]
Let the quantity of glazed donuts = [tex]y[/tex]
Let the quantity of custard filled donuts = [tex]z[/tex]
As per question statements, following equations can be made:
[tex]x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)[/tex]
Putting [tex]x=2x[/tex] in (1) and (2):
[tex]y+3z=12 .... (4)\\y+9z=18 .... (5)[/tex]
Subtracting (4) from (5):
[tex]6z=6\\\Rightarrow z =\bold{1}[/tex]
By equation (3):
[tex]x=\bold{2}[/tex]
By equation (1):
[tex]y=\bold{9}[/tex]
Therefore, the answers are:
The quantity of frosted donuts = 2
The quantity of glazed donuts = 9
The quantity of custard filled donuts = 1
Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much
did she pay for the crackers?
Answer:
$10.36
Step-by-step explanation:
To answer this question, all you have to do is multiply:
4 * 2.59 = 10.36
So, Nate's mom spent $10.36 on crackers.
Hope this helps :)
Answer:
Nate's mom spent $10.36 on crackers.
Step-by-step explanation:
the owner of an apple orchard ships apples in boxes that weigh 2 kilograms ( kg ) when empty. the average apple weighs 0.25 kg and the total weight of a box filled with apples is 12 kg. how many apples are packed in each box?
a. 14
b. 30
c. 40
d. 56
Given parameters:
Weight of box = 2kg
Average weight of an apple = 0.25kg
Total weight of box filled with apples = 12kg
Unknown:
Number of apples packed in each box = ?
Solution:
Since 1 apple weighs 0,25kg, let us find the weight of the apples in the box
Box + apples = 12kg
weight of box = 2kg
Weight of apples = 12kg - 2kg = 10kg
So;
0.25kg is the weight of 1 apple;
10kg of apples will equal [tex]\frac{10}{0.25}[/tex] = 40 apples
Therefore, 40 apples are packed in the box
what is 8 to the power of 3 minus 9 times 2 divided by 3
Answer:
506
Step-by-step explanation:
I did mentally
Answer:
506
Step-by-step explanation:
Write it out: [tex]8^{3}[/tex] - 9 × 2 ÷ 3[tex]8^{3} = 512[/tex] Plug 512 in: 512 - 9 × 2 ÷ 3-9 × 2 = -18Plug -18 in: 512 - 18 ÷ 318 ÷ 3 = 6Plug 6 in: 512 - 6512 - 6 = 506I hope this helps!
A conjecture and the paragraph proof used to prove the conjecture are shown. 100 points please help
Answer:we USED
Step-by-step explanation:
please make me brainliest
Answer:
1- angle congruence postulate
2- definition of complementary
3- m<3
4- <3
Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. what characteristic of data will imply an association between the two variables?
Answer:
b
Step-by-step explanation:
pls brainliest
AnswAnswerer:
The relative frequencies add to 100% for each row.
Step-by-step explanation:
Please help if u care pls
1/4x+5/2x-2=4-1/4x
What is the value of x
Answer: The correct answer is: [A]:
__________________________________________________
" Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate. "
__________________________________________________
Step-by-step explanation:
__________________________________________________
Note that the "unit rate" is the term that refers to:
a "quantity" / or "quantitative value" ;
→ of some type of "countable units"
{e.g. "currency" — [such as: dollars, cents, pounds] ; "distance/length/ width/ height" — [such as: miles, kilometers, meters, centimeters, yards, feet, inches] ; pieces of fruits — [such as: number of apples; cans of soda, number of red dresses] ;
__________________________________________________
per "single unit" of something — {e.g. per hour; per minute; per mile; per ounce; per hour; per dollar, per kilometer, per day, per week.
{e.g.
→ " 3 apples eaten per [single] apricot eaten" ;
→ " 46 miles per hour.
→ " 8.3 cents per oz." ;
→ " 5 Liters of soda per dollar " ;
→ " 2.3 grams per mole " ;
→ " 4.6 mg solute / kg of solvent " ;
→ " 5 km / hr " ; {that is: " 5 km per hr " } .
→ " 3 yds. per [single] square inch."
→ " 35 parts per hundred" ; {that is: " 35 percent" ; or: " 35 % " . } .
→ " ... The cilantro is on sale for 33 cents per bundle ...} ."
→ ... to provide a few examples.
__________________________________________________
On on Cartesian plane graph, the "x-axis" is located on the "horizontal axis" that represents the "independent variable" (or, at times, the "experimental value" — which can be manipulated — or "controlled" —or be subjected to being "manipulated" / "controlled" / or, "selected".
The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .
So, if the "unit rate" represents the "single unit rate" ; we look at "x = 1 " ; since we are "choosing" this particular "single" rate of per "single" (i.e. "1" ) ; so we do not have a choice in what "y-value" of the particular graph to select. We can control the fact that we are "choosing" to find the "unit" rate, so we select the "independent variable" , "x = 1 " . We then examine the "corresponding y-value" that happens to exist when "x = 1 " .
{Note that we have "no control" over what that "y-value" is ; at the: "[point which: " x = 1 .] . "
_________________________________________________
→ As such, that "y-value" [insert that numeric "y-value" ; followed by the units represented by the "y-axis" ] ;
per " 1 " [insert "single unit" represented by the "x-axis" ] ;
_________________________________________________
→ is the: "unit rate" .
__________________________________________________
So:
The correct answer is: [A]:
__________________________________________________
" Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate. "
Answer:
Step-by-stbhubhbhnhnkjnkjnep explanation:
which property is demonstrated in the equation 6x(8x1)=(6x8)x1
Answer:
Commutative property of multiplication
Step-by-step explanation:
The commutative property of multiplication says that order doesn't matter in multiplication, and putting parenthesis affects the order, so that means the answer is commutative property of multiplication
PLZ HELP GUYS............
Answer:
11
Step-by-step explanation:
10+1=11 lol bruh
Maya shaved her head and then began letting her hair grow.
Answer:
Maya grows hair
Step-by-step explanation:
Answer:Maya will not be bald anymore.
Step-by-step explanation:
Her hair is growing. sCiEnCe
What is the product?
-9x(5-2x)
Answer:
− 45 x + 18 x^2
Step-by-step explanation:
Carmelita used the multiplication table below to write ratios that are equivalent to StartFraction 3 Over 7 EndFraction. A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 7, the numbers 7, 14, 21, 28, 35, 42, 49, 56, and 63 are highlighted. One number is missing from the equivalent ratio, as shown. StartFraction 21 Over Blank EndFraction What is the missing number? 7 9 24 49
Answer:
The answer is 49.! :)
Step-by-step explanation:
If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)
Answer:
49
Step-by-step explanation:
Please explain how to find 40 x 50 using mental math... xD
Answer:
Basically, what you do is multiply 4 times 5 ( this only applies when the numbers are in tens so like 10,20,30,40, etc.)
then after this you add the zeros of both numbers.
Step-by-step explanation:
so, this would be 2000
A municipal bond service has three rating categories (A, B, and C). Suppose that in the past year, of the municipal bonds issued throughout the United States, 70% were rated A, 20% were rated B, and 10% were rated C. Of the municipal bonds rated A, 50% were issued by cities, 40% by suburbs, and 10% by rural areas. Of the municipal bonds issued B, 60% were issued by cities, 20% by suburbs, and 20% by rural areas. Of the municipal bonds rated C, 90% were issued by cities, 5% by suburbs, and 5% by rural areas. a. If a new municipal bond is to be issued by a city, what is the probability that it will receive an A rating? b. What proportion of municipal bonds are issued by cities? c. What proportion of municipal bonds are issued by suburbs?
Answer:
(a) The probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b) Thus, the probability of municipal bonds issued by suburbs is 0.325.
Step-by-step explanation:
The data provided is as follows:
P (A) = 0.70
P (B) = 0.20
P (C) = 0.10
P (c | A) = 0.50
P (s | A) = 0.40
P (r | A) = 0.10
P (c | B) = 0.60
P (s | B) = 0.20
P (r | B) = 0.20
P (c | C) = 0.90
P (s | C) = 0.05
P (r | C) = 0.05
(a)
The Bayes' theorem states that the conditional probability of an event Y[tex]_{i}[/tex] given that another event X has already occurred is:
[tex]P(Y|X)=\frac{P(X|Y)P(Y)}{\sum\limits_{i} {P(X|Y_{i})P(Y_{i})}}[/tex]
Compute the probability that the new municipal bond issued will receive an A rating given that it was issued by a city as follows:
[tex]P(A|c)=\frac{P(c|A)P(A)}{P(c|A)P(A)+P(c|B)P(B)+P(c|C)P(C)}[/tex]
[tex]=\frac{(0.50\times 0.70)}{(0.50\times 0.70)+(0.60\times 0.20)+(0.10\times 0.90)}\\\\=\frac{0.35}{0.56}\\\\=0.196[/tex]
Thus, the probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b)
The law of total probability states that:
[tex]P(X)=\sum\limits_{i} {P(X|Y_{i})}[/tex]
Compute the probability of municipal bonds issued by suburbs as follows:
[tex]P(s)=P(s|A)P(A)+P(s|B)P(B)+P(s|C)P(C)[/tex]
[tex]=(0.40\times 0.70)+(0.20\times 0.20)+(0.10\times 0.05)\\\\=0.28+0.04+0.005\\\\=0.325[/tex]
Thus, the probability of municipal bonds issued by suburbs is 0.325.
types of quadratic equation
Answer:
1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.
Miguel is selling tickets to a barbecue. Adult tickets cost $7.00 and children's tickets cost $4.00. He sells five more children's tickets than adult tickets. The total amount of money he collects is $218.00. How many adult tickets and how many children's tickets did he sell?
adult tickets
children's tickets
Marlina received her salary on Friday. She spent one-half of her salary on rent and then spent $338 on her electric and water bill. Next, she spent one-half of what was left on her phone bill. After spending $56.00 on gas for her car, Marlina had $102.00 left. How much did Marlin spend on rent?
Answer:
Marlina spent $654 on rent.
Step-by-step explanation:
Let the amount of money Marlina's received for her salary be x.
We know that she spent one-half of her salary on rent and then $338 on her electric and water bill. Therefore, the amount of money she has left can be so far can be represented by:
[tex]\displaystyle x-\frac{1}{2}x-338[/tex]
Next, she spent one-half of what was left on her phone bill. So, we can subtract one-half of the above expression to what we have so far.
[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)[/tex]
Finally, she spent $56 for gas. Thus, we will subtract 56:
[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)-56[/tex]
And we know that after all of the expenses, she will have $102 left. Therefore:
[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)-56=102[/tex]
We want to know how much Marlina spent on rent. So, we can find her salary, since we know the rent is one-half of the salary. To find the salary, we will solve for x.
Distribute:
[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}x+\frac{1}{4}x+169-56=102[/tex]
Rearrange:
[tex]\displaystyle \left(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x\right)+(-338+169-56)=102[/tex]
Combine like terms:
[tex]\displaystyle \frac{1}{4}x-225=102[/tex]
Add 225 to both sides:
[tex]\displaystyle \frac{1}{4}x=327[/tex]
Multiply both sides by 4:
[tex]x=\$ 1308[/tex]
Therefore, Marlina received a total of $1308 for her salary.
We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:
[tex]\displaystyle r=\frac{1}{2}(1308)=\$ 654[/tex]
Marlina spent a total of $654 on rent.
9514 1404 393
Answer:
$654
Step-by-step explanation:
Let r represent the amount of Marlina's rent. Since that is half her salary, the amount remaining after paying rent is also equal to r. The disposition of that remaining amount is ...
$338 on electric and water (E&W)
(1/2)(r -338) on phone . . . this is half of what is left after paying E&W
$56 on gas
$102 unaccounted
__
The total of these amounts is equal to r, so we have ...
r = 338 + 1/2(r -338) +56 +102
1/2r = 338 -169 +56 +102 = 327 . . . . . eliminate parentheses, subtract 1/2r
r = 2(327) = 654 . . . . . multiply by 2 to get r by itself
Marlina spends $654 on rent.
Which of the following is the solution for the inequality below? 3 x - 4 -5 x > -5
Step-by-step explanation:
Good luck with that ... sparkles
Drag the correct steps into order to solve the equation -4x+12=-4 for x
Answer:
[tex] - 4x + 12 = - 4 \\ - 4x = - 4 - 12 \\ 4x = 4 + 12 \\ 4x = 16 \\ x = \frac{16}{4} = 4[/tex]
Order the numbers from least to greatest.
2.1,−610,−94,−0.75, 53
Answer:
-610, -94, -0.75, 2.1, 53
Evaluate...............
Answer:
11
Step-by-step explanation:
What is -5/8 + 3/4 I cannot seem to figure it out correctly thanks!
Step-by-step explanation:
-5/8 + 3/4
= -5/8 + 6/8
=1/8
what is the value of k
Answer:
k = 10
Step-by-step explanation:
180° - 115° = 65°
(4k + 5) + (6k + 10) + 65 = 180
4k + 5 + 6k + 10 + 65 = 180
10k + 80 = 180
10k = 100
k = 10
Answer:
solution:
ang.XZY+ang.ZXY=ang.ZYM reason: the exterior angle of a triangle is equal to the sum of opposite interior angles 2.(4k+5)+(6K+10)=115 3. 10k +15=115 4. 10k =100 5 k= 10which table represents a linear function?
Answer:
the third one
Step-by-step explanation:
You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference
Hi!! If you see this!! YOU MATTER!!! Hope this cheers you up! ❤
Answer:
Oh thank you! This means a lot i needed this :)
Step-by-step explanation:
find the area of parallelogram .
I need to know how to solve this. can someone please explain it I'm trying to help my son out. this one is tricky it has a fraction.
Answer:
894
Step-by-step explanation:
You'll just multiply 37 1/4 x 24... remember that the 32 mi doesn't count because it is not perpendicular to the base, if it's not perpendicular to the base than you will not multiply with it.
I learned this and also got this question!
Good Luck with the test!
Answer:
cvfbb
Step-by-step explanation:
Determine whether the table represents a linear or nonlinear function
Answer:
nonlinear, as it isnt consistent may be wrong
Step-by-step explanation:
Answer:
It is a function, but it is nonlinear
Step-by-step explanation:
Every input is compared with exactly one output.