Answer:
$230,000
Step-by-step explanation:
Contribution margin = Sales - Variable costs
=($250,000 - $137,500)
= $112,500
Contribution margin ratio = Contribution margin ÷ Sales
= ($112,500 ÷ $250,000)
= 0.45
Basically
Break-even sales = Fixed expenses ÷ Contribution margin ratio
=($103,500 ÷ 0.45)
= $230,000
The required sales in dollars to break even is $275,000.
Given that, total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000.
What is a total revenue?Total revenue is the total amount of money a company brings in from selling its goods and services. It determines how well a company is bringing in money from its core operations based on demand and price.
The contribution margin ratio = Contribution margin/Sales revenue
= (300,000 - 180,000 = 120,000)/300,000
= 40%
Break-even point in dollars = Fixed cost/Contribution margin ratio
= 110,000/0.40
= $275,000
Therefore, the required sales in dollars to break even is $275,000.
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John estimated the height of his office building to be 13m . The actual height of his office building was 14.7m .
Find the absolute error and the percent error of John's estimate. If necessary, round your answers to the nearest tenth.
Answer:
Percent error = 11.6%
Step-by-step explanation:
Given the following data;
Actual height, A = 14.7 m
Estimated height, E = 13 m
a. To find the absolute error;
Absolute error = A - E
Absolute error = 14.7 - 13
Absolute error = 1.7
b. To find the percent error;
Percent error can be defined as a measure of the extent to which an experimental (estimated) value differs from the actual or theoretical value.
Mathematically, it is given by this expression;
[tex] Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100[/tex]
Substituting into the equation, we have;
[tex] Percent \; error = \frac {13 - 14.7}{14.7} *100[/tex]
[tex] Percent \; error = \frac {1.7}{14.7} *100[/tex]
[tex] Percent \; error = 0.1157 *100[/tex]
Percent error = 11.57 ≈ 11.6%
PLEASE HELP MEEEEEEE EMERGENCY :(
Answer:
Ok ☺️✌️✌️✌️Ok ok ok ok
Use a calculator to find the mean of the data. {217, 253, 214, 247, 217, 253, 232, 246, 223, 227, 229, 247, 206, 241, 239, 223, 222, 216, 252, 209, 236, 256}
Answer:
[tex]\frac{5105}{22}[/tex]
Step-by-step explanation:
Used Python function to get all the numbers and add them, then I divided it by 22, which is the number of numbers in the array.
The mean of the data is 232.045.
To find the mean of the data.
What is mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers. Mean = (Sum of all the observations/Total number of observations). Mean is the most commonly used measure of central tendency. There are different types of mean, viz. arithmetic mean, weighted mean, geometric mean (GM) and harmonic mean (HM).
Given that:
The data are:
217 + 253 + 214 + 247 + 217 + 253 + 232 + 246 + 223 + 227 + 229 + 247 + 206 + 241 + 239 + 223 + 222 + 216 + 252 + 209 + 236 + 256 = 5105
=5105 / 22 = 232.045
So, the mean of the data is 232.045.
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The option is missing:
A. 230.811
B. 231.045
C. 232.045
D. 232.811
What does a right angle look like
Answer:
It's a 90 angle, straight up and down, moving into straight right and left.
Help? write down the answer with an explanation I give brainiest!!!!
Answer:
Step-by-step explanation:
Let the amount Emily started with be 100x
Amount spent at grocery 1/2 of the money:
[tex]\frac{1}{2} \ of \ 100x = 50x[/tex]
Remaining amount
[tex]=100 x - 50x = 50x[/tex]
Amount spent at the Bakery 1/2 of what is left :
[tex]\frac{1}{2} \ of \ 50x = 25x[/tex]
Remaining amount
[tex]= 50x - 25x = 25x[/tex]
Amount spent on CD , 1/2 of what is left :
[tex]=\frac{1}{2} \ of \ 25x = \frac{1}{2} \times 25x = 12.5x[/tex]
Remaining amount
[tex]= 25x - 12.5x = 12.5x[/tex]
But given the amount left is $6
That is ,
[tex]12.5x = 6\\\\x = \frac{6}{12.5} = 0.48[/tex]
Therefore amount Emily had in beginning = 100 x = 100( 0.48) = $48
length 21cm area 315cm2 find the breath
Answer:
Breadth = 15 cm
Step-by-step explanation:
Area = length x breadth
315 = 21 x breadth
[tex]\frac{315}{21} = \frac{21}{21} \times breadth[/tex] [ dividing both sides by 21 ]
[tex]15 = 1 \times breadth\\\\breadth = 15 \ cm[/tex]
___________________________________
Symbols of:[tex]\quad\quad\quad\quad\tt{A = A rea}[/tex]
[tex]\quad\quad\quad\quad\tt{ l = length} [/tex]
[tex]\quad\quad\quad\quad\tt{ b \: = breadth} [/tex]
Given that:[tex]\quad\quad\quad\quad\tt{A = 315 {cm}^{2} }[/tex]
[tex]\quad\quad\quad\quad\tt{l = 21cm}[/tex]
[tex]\quad\quad\quad\quad\tt{b = \: ? }[/tex]
Formula for breadth (b):[tex]\quad\quad\quad\quad\tt{breadth = \frac{Area}{length} }[/tex]
Solution:[tex]\quad\quad\quad\quad\tt{b = \frac{315 {cm}^{2} }{21cm} }[/tex]
[tex]\quad\quad\quad\tt{\:\:b = {15cm}}[/tex]So, the breadth (b) is:[tex]\quad\quad\quad\quad\tt \boxed{ \boxed{ \color{magenta}{b = 15cm }}}[/tex]
___________________________________
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✍︎ C.Rose❀
consider the polygon shown. Determine the value of y. PLEASE HELP
Answer:
y = 64°
Step-by-step explanation:
From the picture attached,
m(∠E) = 90°
m(∠E) = m(∠D)
m(∠B) + 67° = 180° [pair of linear angles]
m(∠B) = 113°
m(∠C) + 75° = 180°
m(∠C) = 180° - 75°
= 105°
Since, sum of interior angles of a polygon = (n - 2) × 180°
Here, n = number of sides
For n = 5,
Sum of interior angles = (5 - 2) × 180°
= 540°
m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°
m(∠A) + 113° + 105° + m(∠D) + 90° = 540°
(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]
2(m∠D) = 232
m(∠D) = 116°
m(∠D) + y° = 180° [Linear pair of angles]
116 + y = 180
y = 64°
x( 3x - 2y + 4z)x = -2, y = 4, and z = -3
1.) If I am selling a dozen at $3, how much would each egg cost?
2.) If each egg costs that amount of money, how much would an 18 pack be?
I'm trying to figure this out because this is a real-life problem, and I'm trying to sell eggs to my teacher.
Answer:
1.$3÷12=0.25
each egg would cost 25 cents
2.12×18=216
216×25=5,400
can someone tell me what the diffrence of 8 through 5 is
Answer:
The answer is 3.
Step-by-step explanation:
What is the difference between 8 and 5? In mathematics, the difference between two numbers usually means to subtract them. So if you want to find the difference, you take the bigger one minus the smaller one. So, the difference between 8 and 5 is 3.
Answer:
3
Step-by-step explanation:
What is the difference between 8 and 5? In mathematics, the difference between two numbers usually means to subtract them. So if you want to find the difference, you take the bigger one minus the smaller one. So, the difference between 8 and 5 is 3.
Find the slope and y-intercept of the line.
y=7/4x-10
Answer
-10;7/4
Answer:
The slope is 7/4 and the y intercept is -10
Step-by-step explanation:
y=7/4x-10
This equation is written is slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 7/4 and the y intercept is -10
The product of ______________ and (-1) is -35.
Answer:
35Step-by-step explanation:
The product of 35 and (-1) is -35.
As,
35 × (-1) = -35
A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5sxs 9
O B. 2 sxs7
O C. 2
OD. 5
Answer is
5 gives the range of possible values for x.
It costs $100 to join a fitness center plus a monthly fee you spent $700 last year at the fitness center how much was the monthly fee
Answer:
58.3
Step-by-step explanation:
divide 700 by 12
Answer:
$50
Step-by-step explanation:
The equation for this is:
700 = 12m + 100, where $700 is the total cost, m is the monthly fee, 12 is the number of months in a year, and $100 is the starting fee
Solve the equation:
700 = 12m + 100
12m = 600
m = 50
4(x+9)=2x-6
Solve for x
Answer:
-21
Step-by-step explanation:
4(x+9) = 4x+36
4x+36 = 2x-6
-36 -36
minus 36 from both sides
4x = 2x-42
2x = -42
-42/2 = -21
x = -21
Hi there!
We are given the equation below:
[tex] \large \boxed{4(x + 9) = 2x - 6}[/tex]
1. Expand 4 in the expression.
When expand in the expression, it is like multiply everything in the expression. So when we expand 4 in x+9, it becomes 4(x)+9(4).[tex] \large{(4 \times x) + (9 \times 4) = 2x - 6} \\ \large{(4x) + (36) = 2x - 6}[/tex]
Cancel the brackets.
[tex] \large{4x + 36 = 2x - 6}[/tex]
2. Isolate x-term and solve for the variable.
Think it easy. If you want to isolate x-term then what should you do? Well simply swap sides, and change the operator/sign.[tex] \large{4x - 2x = - 6 - 36}[/tex]
Finally, combine like terms.
[tex] \large{2x = - 42}[/tex]
Then divide both sides by 2 so we can finally leave only x-term.
[tex] \large{ \frac{2x}{2} = \frac{ - 42}{2} } \\ \large \boxed{x = - 21}[/tex]
3. Check the solution if it is right or wrong.
This step is optional but if you are not confident on your answer, this step is recommended.To check the answer, we simply substitute the value of x which is -21 in the equation and see if both sides are equal or not. If both sides are equal then the answer is correct, if not then the answer is wrong. Therefore,
[tex] \large{4(x + 9) = 2x - 6 \longrightarrow 4( - 21 + 9) = 2 ( - 21) - 6} \\ \large{4( - 12) = - 42 - 6} \\ \large{ - 48 = - 48}[/tex]
Since both sides are equal when substitute in x = -21.
4. Answer
Hence, the answer for this equation is x = -21.I hope this helps and let me know if you have any doubts!
Solve this asap for me
Answer:
by using middle term break method
Step-by-step explanation:
9x^2 + 12x + 4
9x^2+ (6 + 6)x + 4
9x^2 + 6x + 6x + 4
3x(3x + 2) + 2(3x + 2)
(3x + 2)(3x + 2)
(3x + 2)^2
PLEASE HELP WKLL MARK IF YOU HELP ME !!!
Answer :
Let in Triangle abc,
a=90,
b = (we have to find)
c = (we have to find)
c + 144=180 (linear pair)
c = 180 - 144
c = 36
a + b + c = 180 (Angle sum property)
90 + b + 36 = 180
126 + b = 180
b = 180-126
b = 54
ВС
2. In ATVW if VW is three meters longer than TV, TW
is 19 meters shorter than the sum of VW and TV,
and the perimeter of ATVW is 62 meters, find the length of VW.
20.75 m
15.75 m
25.5 m
21.75 m
None of the above
9514 1404 393
Answer:
21.75 m
Step-by-step explanation:
The given relations tell us that ...
VW = TV +3
TW = VW +TV -19
VW +TW +TV = 62
__
Solving the first equation for TW gives ...
TV = VW -3
Substituting that into the second equation gives ...
TW = 2VW -22
And using these expressions in the third equation, we have ...
VW +(2VW -22) +(VW -3) = 62
4VW = 87 . . . . . . . . collect terms
VW = 21.75 . . . . . . divide by 4
The length of VW is 21.75 meters.
The absolute value of -7
Answer:
7
Step-by-step explanation:
|-7| means find the distance from 0
We take the non negative value
|-7| = 7
What’s the range of the given function?
I marked that answer by accident btw
The range of the given function is - 2
Calculate the unit price. Round to the nearest cent, if necessary.
0.75 lb of salami for $2.65
$4.64 per lb of salami
$2.65 per lb of salami
$3.53 per lb of salami
$1.99 lb of salami
per
Answer:
$3.53 per lb of salami
Step-by-step explanation:
0.75 lb of salami for $2.65
The price per of salami will be :
0.75 lb = $2.65
1 lb = x
Using cross multiplication :
0.75 * x = $2.65 * 1
0.75x = $2.65
Divide both sides by 0.75
0.75x / 0.75 = $2.65 / 0.75
x = $3.533
This means that :
The price per unit of salami is $3.53
Answer:
0.75 lb of salami for $2.65 is $3.53 per lb of salami.
Last question! Please show work. Really need to get this done in 1 hour
Answer:
x = 1, y = 2 , z = 3
Step-by-step explanation:
[tex]6x\:+\:2y\:-4z\:=\:-2 \ \ \ \ \ \ \ \ \ -----( 1 ) \:\\\\-3x-4y\:+2z\:=\:-5 \ \ \ \ \ \ ------( 2 ) \:\\\\4x-\:6y\:+3z\:=\:1 \ \ \ \ \ \ \ \ \ \ \ \ ------- ( 3 ) \\\\( 2 ) \times 2=> -6x -8y + 4z = -10 \ \ \ \ \ \ \ -----( 4)[/tex]
Now add ( 1 ) and (4)
[tex]6x +2y -4z = - 2\\\\-6x-8y - 4z = -10\\\\=>0x -6y + 0 = - 12\\\\-6y = -12[/tex]
y = 2
Now multiply ( 1 ) by 2 and (3) by 3
[tex](1) \times 2 => 12x + 4y -8z = -4\\\\(3) \times 3 => 12x -18y +9z = 3\\\\Subtract \ the \ equation : ( 1) - ( 3) => 0x +22y -17z = -7[/tex] ------ ( 5 )
Substitute y = 2 in ( 5 ) :
[tex]22(2) - 17z = - 7\\\\ 44 - 17z = - 7\\\\ -17z = - 7 - 44\\\\ -17z = -51\\\\[/tex]
z = 3
Substitute z = 3 and y = 2 in ( 1 ) :
[tex]6x + 2y - 4z = - 2\\\\6x + 2( 2) -4( 3) = -2\\\\6x + 4 - 12 = -2\\\\6x - 8 = - 2\\\\6x = - 2 + 8 \\\\6x = 6\\[/tex]
x = 1
The price for digital downloads of music is represented by the linear function f(x) shown on the graph. The price for digital downloads of movies is represented by g(x) = x, where x is the number of movies downloaded and g(x) is the total cost in dollars.
You want to make 2 downloads, and you have $5. Determine the least expensive option.
1. You download 2 songs.
2. You download 2 movies.
3. You download 1 song and 1 movie.
4. You don't have enough money for 2 downloads.
Answer:
The second answer is the correct one
Step-by-step explanation:
Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more than one kind. Do not solve.
a) dy/dx = (x − y)/x
b) (x + 1)dy/dx = −y + 20
c) dy/dx = 1/(x(x − y2))
d) dy/dx =(y^2 + y)/(x^2 + x)
e) dy/dx = 5y + y^2
f) y dx = (y − xy^2) dy
g) x dy/dx = ye^(xy) − x
h) 2xyy' + y^2 = 2x^2
i) y dx + x dy = 0
k) (x^2 + 2y/x) dx = (3 − ln x^2) dy
l) (y/x^2) dy/dx + e^(2x^3) + y^2 = 0
Here, we have to classify each differential equation based on their characteristics:
a) dy/dx = (x − y)/xThis is a separable differential equation because the variables can be separated on different sides of the equation.
It's of the form dy/dx = g(x) - f(y)/h(y), where g(x) = x/x and h(y) = 1.
b) (x + 1)dy/dx = −y + 20This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where P(x) = -1/(x + 1) and Q(x) = 20/(x + 1).
c) [tex]dy/dx = 1/(x(x - y^2))[/tex]This is a separable differential equation because the variables x and y can be separated on different sides of the equation.
d) [tex]dy/dx = (y^2 + y)/(x^2 + x)[/tex]This is a separable differential equation because the variables x and y can be separated on different sides of the equation.
e)[tex]dy/dx = 5y + y^2[/tex]This is a Bernoulli differential equation because it is of the form [tex]dy/dx = p(x)y + q(x)y^n[/tex], where p(x) = 0 and q(x) = 5x, n = 2.
f) [tex]y dx = (y - xy^2) dy[/tex]This is a separable differential equation because the variables x and y can be separated on different sides of the equation.
g) [tex]x dy/dx = ye^{(xy)} - x[/tex]This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where P(x) = -1/x and [tex]Q(x) = e^{(xy)} - x^{(-1)[/tex].
h) [tex]2xyy' + y^2 = 2x^2[/tex]This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where P(x) = -2/x and Q(x) = 2x.
i) y dx + x dy = 0This is a separable differential equation because the variables x and y can be separated on different sides of the equation.
k) [tex](x^2 + 2y/x) dx = (3 - \text ln x^2) dy[/tex]This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), although it's not immediately obvious what P(x) and Q(x) are.
l) [tex](y/x^2) dy/dx + e^{(2x^3)} + y^2 = 0[/tex]This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where [tex]P(x) = -1/x^2[/tex] and [tex]Q(x) = -e^{(2x^3)} - y^2[/tex].
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The equation y = 50(1.05)x models the growth of a mule deer population introduced into Guadalupe National Park in December 2015. "X" represents the number of years after December 2015 while "y" represents the population at time "x". In what year will the mule deer population first reach 1500?
F. 2084
G. 2044
H. 2043
J. 2086
Answer: (f)
Step-by-step explanation:
Given
The growth equation is [tex]y=50(1.05)^x[/tex]
When population becomes 1500
[tex]\Rightarrow 1500=50(1.05)^x\\\Rightarrow 30=(1.05)^x\\\text{Taking log both sides}\\\Rightarrow \ln (30)=x\ln (1.05)\\\\\Rightarrow x=\dfrac{\ln (30)}{\ln (1.05)}\\\\\Rightarrow x=69.71[/tex]
Thus, after 69.71 years of year 2015 i.e. [tex]2015+69.71=2084.71[/tex]. In year 2084, it becomes 1500.
option (f) is correct.
Please answer my question step be step
9514 1404 393
Answer:
z = 20
m∠A = 70°
Step-by-step explanation:
Step 0: read and understand the question. Identify the given information and the information requested.
Step 1: consult your knowledge of inscribed quadrilaterals to determine that opposite angles are supplementary.
Step 2: identify angles A and C as being marked with expressions in z.
Step 3: use those expressions and the relation in Step 1 to write an equation.
A + C = 180°
(4z -10)° +(10 +5z)°= 180°
Step 4: solve for z.
9z = 180 . . . . simplify, divide by °
z = 20 . . . . . . divide by 9
Step 5: use the relation between z and the measure of angle A to answer the question.
m∠A = (4z -10)° = (4·20 -10)°
m∠A = 70°
Step 6: check your answer. This can be done by making sure that angle C is supplementary to angle A.
C = (10 +5z)° = (10 +5·10)° = 110° = 180° -70° ∴ answer checks OK
The price of a 5-minute phone call is $1.75. What is the price of a 19-minute phone call?
Answer:
$6.65
Step-by-step explanation:
You could start by seeing the price of a 1 minute phone call. if you divide 1.75 by 5 it is 0.35. that means 1 minute costs $0.35. so the equation would be 0.35 times 19. which is 6.65 dollars.
5 minutes call = $1.75
1 minute call = $1.75/5 = $0.35
19 minutes call = $0.35 × 19 = $6.65
Solve the system x-2y+2z=9 y+2z=5 z=3
Enter the answer as an ordered triple, (X,Y,Z)
The last equation says z = 3, so that in the second equation we get
y + 2z = y + 6 = 5 ==> y = -1
and in turn, the first equation tells us
x - 2y + 2z = x + 2 + 6 = x + 8 = 9 ==> x = 1
So the solution to the system is (x, y, z) = (1, -1, 3).
The distance between the complex numbers z1 = 7 – 2i and z2 = 3 - 3i is ________
Answer:
sqrt(17)
Step-by-step explanation:
the distance is
|(7-2i) - (3-3i)| = |4 + i|
remember, the absolute value of a complex number is
|a+bi| = sqrt(a²+b²)
in our case
sqrt(4² + 1²) = sqrt(16+1) = sqrt(17)
Given that abcd ~Jklm. Find the value of x, y, and z
Answer:
x = 7.2
y = 10
z = 6
Step-by-step explanation:
Since ABCD ~ JKLM, therefore, the ratio of their corresponding sides would be equal. Thus:
JK/AB = KL/BC = LM/CD = JM/AD
Substitute
12/x = y/6 = 15/9 = 10/z
✔️Find x:
12/x = 15/9
12/x = 5/3
Cross multiply
x*5 = 3*12
5x = 36
x = 36/5
x = 7.2
✔️Find y:
y/6 = 15/9
y/6 = 5/3
Cross multiply
y*3 = 5*6
3y = 30
y = 30/3
y = 10
✔️Find z:
15/9 = 10/z
5/3 = 10/z
Cross multiply
5*z = 10*3
5z = 30
z = 30/5
z = 6
