The total cost equation can be written as:
Total Cost = 32000 + 9000L
What is total cost?
Total cost refers to the complete amount of money or resources that are required to produce or obtain a particular good or service. It includes all of the expenses associated with production, such as labor costs, materials costs, overhead costs, and any other costs necessary to manufacture or acquire the product.
The total cost equation can be expressed as:
Total Cost = Fixed Cost + Variable Cost
where Fixed Cost is the cost that does not vary with the number of laptops manufactured and sold, and Variable Cost is the cost that depends on the number of laptops manufactured and sold.
In this case, the fixed monthly cost is $32,000 and it does not depend on the number of laptops manufactured and sold. The variable cost is the cost of manufacturing each laptop, which is $9,000 per laptop.
If L is the number of laptops manufactured and sold per month, then the variable cost can be expressed as 9000L. Therefore, the total cost equation can be written as:
Total Cost = 32000 + 9000L
This equation represents the total cost of manufacturing and selling L laptops per month. The fixed cost of $32,000 is added to the variable cost of $9,000 per laptop multiplied by the number of laptops sold, L, to obtain the total cost.
To learn more about total cost visit the link:
https://brainly.com/question/29509552
#SPJ9
Complete question: A business manufactures and sell laptops. Each laptop is sold for 14000.the fixed monthly cost is 32000 and it cost 9000 to manufacture each laptop. let L be number of laptops manufactured and sold per monthly. What is the total cost equation?
y + 6 < 10 or 2y - 3> 9
Answer:
2y - 3> 9 it is not y + 6< 10
What is the length of the side labeled x cm?
10.8
13.7
9.9
20.8
Answer:
B
Step-by-step explanation:
the answer is B because I know it
Denise is designing the seating arrangement for a concert at an outdoor theater. To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. Explain to Denise how to create an equation to predict the number of seats in any row. Then using your equation. show your work to determine the number of seats in row 18.
Answer:113
Step-by-step Explanation:
To create an equation to predict the number of seats in any row, we need to start by defining a few variables:
Let's call the number of seats in the first row "a".
Let's call the number of additional seats in each row after the first row "d".
Since we know that each row has 6 more seats than the previous row, we can set d equal to 6:
d = 6
We also know that the first row has 11 seats, so we can set a equal to 11:
a = 11
To find the number of seats in any row, we can use the following formula:
number of seats in a given row = a + (n - 1) * d
Where "n" is the number of the row we are interested in.
Using this formula, we can find the number of seats in row 18:
number of seats in row 18 = 11 + (18 - 1) * 6
= 11 + 102
= 113
Therefore, there are 113 seats in row 18.
15 POINTS!! ASAP TYYY
Answer:
A
Step-by-step explanation:
She earns $15 per poinsettia.
Solve the following logarthlic equations : 3ln(2x) =12
Step-by-step explanation:
[tex]3 ln(2x) = 12[/tex]
[tex] ln(2x) = 4[/tex]
Let both sides be a power of a base e.
[tex]e {}^{ln(2x)} = e {}^{4} [/tex]
The e and ln would just cancel out so
[tex]2x = e {}^{4} [/tex]
[tex]x = \frac{ {e}^{4} }{2} [/tex]
Find the degree of the monomial. 3a^8b^7
Each of 6 students reported the number of movies they saw in the past year. Here is what they reported. 14, 9, 9, 6, 10, 19 Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth.
A cylinder with a radius of 8 inches is cut from the prisim. What is the volume of the new object
The volume of the new object is approximately 439.3 cubic inches
What is the volume of the new object?To find the volume of the new object, we need to first know the volume of the prism before the cylinder is removed hence we do this:
The volume of a cylinder: = πr²h
where:
r = radius
h = height
Note that the volume of a rectangular prism is : = lwh
l = length
w = width
h = height
Assumption: In the above case, we will assume that the dimensions of the rectangular prism because the cylinder can be cut out from the center of one of the faces.
Hence the length and width of the prism will be taken to be twice the radius of the cylinder, that is 16 inches, and the height will be taken to be same as the radius of the cylinder, that ia 8 inches.
So V_prism = lwh
= 16 × 16 × 8
= 2048 cubic inches
V_cylinder = πr²h
= π × 8² × 8
= 512 π cubic inches
Hence To get the volume of the new object, we need to subtract the volume of the cylinder from the volume of the prism:
V_new = V_prism - V_cylinder
= 2048 - 512π
= 2048 - 1608.70
= 439.3 cubic inches
Hence, the volume of the new object is about 439.3 cubic inches
Learn more about cylinder from
https://brainly.com/question/9554871
#SPJ1
which value of x is in the solution set of -4/3x+5<17
A. -8
B. -9
C. -12
D. -16
Please help!
Answer:
-9
Step-by-step explanation: Definitely correct
(x+3) (x-2) =2x
find the valűe of x
Step-by-step explanation:
[tex](x + 3)(x - 2) = 2x\\ {x}^{2} + x - 6= 2x \\ {x}^{2} - x - 6 = 0 \\ (x - 3)(x + 2) = 0 \\ x = 3 \: or \: x = - 2[/tex]
100 POINTS
Question:
Answer:
It is a graphical representation that discusses the relationship between two or more quantities or things
Step-by-step explanation:
The graphical method is used to optimize the two-variable linear programming. If the problem has two decision variables, a graphical method is the best method to find the optimal solution. In this method, the set of inequalities are subjected to constraints. Then the inequalities are plotted in the XY plane.
Graphical methods are commonly used for determining whether the data support an interpretation of mixing of two potential sources or fractionation of a single source.A graphic solution can be done by hand (on graph paper), or with the use of a graphing calculator. Graphing a system of linear equations is as simple as graphing two straight lines. When the lines are graphed, the solution will be the (x,y) ordered pair where the two lines intersect (cross).BRAINLINEST PLEASEAnswer:
It is a graphical representation that discusses the relationship between two or more quantities or things
Step-by-step explanation:
The graphical method is used to optimize the two-variable linear programming. If the problem has two decision variables, a graphical method is the best method to find the optimal solution. In this method, the set of inequalities are subjected to constraints. Then the inequalities are plotted in the XY plane.
Graphical methods are commonly used for determining whether the data support an interpretation of mixing of two potential sources or fractionation of a single source.
A graphic solution can be done by hand (on graph paper), or with the use of a graphing calculator. Graphing a system of linear equations is as simple as graphing two straight lines. When the lines are graphed, the solution will be the (x,y) ordered pair where the two lines intersect (cross).
GIVE NICE GUY BRAINLINEST PLEASE
A store manager kept track of the number of newspaper sold each week over a seven week period.the result were as fellows 71,81,202,113,269,248,242
The median number of newspapers sold is 202 newspaper. So, correct option is C.
To find the median, we need to arrange the given data in ascending or descending order.
The given data in ascending order: 71, 81, 113, 202, 242, 248, 269
Since there are 7 data points, the median will be the fourth value in the sorted list. Therefore, the median number of newspapers sold is 202.
Hence, the correct answer is option C, which states that the median number of newspapers sold is 202.
The median is the middle value of a dataset when arranged in order, and it's a measure of central tendency that is less affected by outliers than the mean. In this case, the median value represents the value at which half the data points are below it and half are above it.
To learn more about median click on,
https://brainly.com/question/3448949
#SPJ1
Complete question is:
A store manager kept track of the number of newspaper sold each week over a seven week period. the result were as fellows 71,81,202,113,269,248,242
Find the median number of newspapers sold.
A. 175 newspapers
B. 113 newspapers
C. 202 newspapers
D. 242 newspapers
I need done asap I have 1 min
Abel cycled at an average speed of 10 km/h from his home to the neighbourhood park.
On reaching the park, he cycled back home along the same route at an average speed of
8 Km/h. He took 1 1/5 hours for the whole journey. How long did he take to cycle from the park
to his home?
Answer:
Time = Distance / Speed
Time is taken from home to park = d / 10
Abel cycled back from the park to his home at an average speed of 8 km/h. The time taken for this part of the journey can be calculated using the same formula:
Time = Distance / Speed
Time is taken from park to home = d / 8
According to the given information, the total time taken for the whole journey is 1 1/5 hours, which is equivalent to 6/5 hours.
Total time is taken = Time from home to park + Time from park to home
6/5 = d/10 + d/8
To simplify the equation, let's find the least common multiple (LCM) of 10 and 8, which is 40:
(6/5) * 40 = (d/10) * 40 + (d/8) * 40
48 = 4d + 5d
48 = 9d
d = 48/9
d = 16/3 km
Now, to find the time taken from the park to Abel's home, we substitute the distance value:
Time from park to home = (16/3) / 8
Time from park to home = (16/3) * (1/8)
Time from park to home = 16/24
Time from park to home = 2/3 hour
Since 2/3 of an hour is equal to 40 minutes, Abel took 40 minutes to cycle from the park to his home.
Therefore, Abel took 40 minutes (or 2/3 of an hour) to cycle from the park to his home.
Rosie earns $25 for travel time plus $18 an hour working at her uncle’s shop. Write an expression that can be used to find the amount Rosie will earn for working, 7, hours.
Answer:
Earned = 25 + 18h
Earned = 151
Step-by-step explanation:
The amount earned is the travel time plus the amount per hour times the hours
Earned = 25 + 18h
She works 7 hours
Earned = 25 + 18*7
Earned = 25 + 126
Earned = 151
Element X is a radi
an experiment starts out with 490 grams of Element X, write a function to represent
the mass of the sample after t years, where the monthly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per month, to the nearest
hundredth of a percent.
Amelia has a music box that is shaped like a right rectangular
prism. She wants to pack the music box into a container,
with 1 in. of packing material between each face of the
music box and the container. A bag contains 200 in.3 of
packing material. How many bags of packing material will
Amelia need? Show your work.
The number of packing materials the Amelia will need = 2.4
How to calculate the quantity of packing materials Amelia will need?From the diagram given above, the formula for the volume of a right rectangular prism = Length×width ×height.
Where;
Length = 10in
Width = 6 in
Height = 8 in
The volume = 10×6×8 = 480 in³
But one bag = 200in³
The amount of bag that the music box can contain = 480/200 = 2.4
Learn more about volume here:
https://brainly.com/question/29504549
#SPJ1
Some varsity soccer players are paired with a junior varsity (JV) player for training purposes: 2/3 of the varsity are partnered with 3/5 of the JV. What fraction of the players are partnered for training?
Let's say there are $v$ varsity players and $j$ JV players.
The problem tells us that 2/3 of the varsity players are partnered with 3/5 of the JV players. So the number of varsity players partnered with a JV player is:
$\sf\implies\:(2/3)v$
And the number of JV players partnered with a varsity player is:
$\sf\implies\:(3/5)j$
Since these two numbers represent the same group of paired players, they must be equal:
$\sf\implies\:(2/3)v = (3/5)j$
To find the fraction of players who are partnered, we can divide the total number of paired players by the total number of players:
$\implies\:\frac{(2/3)v}{v} = \frac{2}{3}$ of the varsity players are paired
$\implies\:{\sf{\frac{(3/5)j}{j}} = \frac{3}{5}}$ of the JV players are paired
So the total fraction of players who are paired is:
$\sf\implies\:\frac{2}{3} + \frac{3}{5} - \frac{2}{15}$ (since some players will be counted in both fractions)
Simplifying:
$\sf\implies\:\frac{10}{15} + \frac{9}{15} - \frac{2}{15} = \frac{17}{15}$
Therefore, the fraction of players who are partnered for training is $\frac{17}{15}$, which is greater than 1. This means that the problem may have been set up incorrectly, or there may be additional information missing.
[tex]\begin{align}\huge\colorbox{black}{\textcolor{yellow}{\boxed{\sf{I\: hope\: this\: helps !}}}}\end{align}[/tex]
[tex]\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}[/tex]
[tex]\textcolor{lime}{\small\textit{If you have any further questions, feel free to ask!}}[/tex]
[tex]\huge{\bigstar{\underline{\boxed{\sf{\color{red}{Sumit\:Roy}}}}}}\\[/tex]
Use synthetic division to rewrite the following fraction in the form q(x)+r(x)d(x)
, where d(x) is the denominator of the original fraction, q(x)is the quotient, and r(x) is the remainder.
The result of the synthetic division is:4x⁵+17x⁴+14x³-3x²+2 = (4x⁴ + 5x³ - x²) (x + 3) + 56
what is synthetic division ?
Synthetic division is a simplified method of dividing a polynomial by a linear factor. It is commonly used in algebra to find the quotient and remainder when dividing a polynomial by a linear factor of the form (x-a).
In the given question,
To use synthetic division to rewrite the fraction, we first set up the problem like this:
-3 | 4 17 14 -3 0 2
| -12 -15 3 0
+----------------------------------
4 5 -1 0 0 2
The coefficients of the polynomial are written in descending order of powers of x, with any missing terms replaced by zeros. The divisor, x + 3, is written on the left, and the first coefficient of the polynomial is written on the top of the vertical line.
We then proceed to perform synthetic division as follows:
Bring down the first coefficient, which is 4, and write it under the horizontal line.
Multiply the divisor, -3, by the number we just brought down, which gives -12. Write this number under the next coefficient, 17.
Add the two numbers, 17 and -12, to get 5. Write this number under the next coefficient, 14.
Multiply the divisor, -3, by 5, which gives -15. Write this number under the next coefficient, -3.
Add the two numbers, -3 and -15, to get -18. Write this number under the next coefficient, 0.
Multiply the divisor, -3, by -18, which gives 54. Write this number under the next coefficient, 2.
Add the two numbers, 2 and 54, to get 56. This is the remainder, which we write above the divisor.
The result of the synthetic division is:
4x⁵+17x⁴+14x³-3x²+2 = (4x^4 + 5x³ - x²) (x + 3) + 56
Therefore, we have rewritten the fraction in the desired form:
4x⁵+17x⁴+14x³-3x²+2
---------------------- = 4x⁴ + 5x³ - x² + 56/(x+3)
x+3
To know more about synthetic division , visit:
https://brainly.com/question/28824872
#SPJ1
A landscaper worded 8-1/2 hours on Monday, 3-1/3 hours on Tuesday and 6-1/4 hours on Wednesday. How many total hours did she work?
If landscaper worked 8-1/2 hours on Monday, 3-1/3 hours on Tuesday and 6-1/4 hours on Wednesday then total of 18.08 hours worked.
To find the total number of hours worked, we need to add up the hours worked on each day.
On Monday, the landscaper worked for 8-1/2 hours, which is the same as 8.5 hours.
On Tuesday, the landscaper worked for 3-1/3 hours, which is the same as 3.33 hours
On Wednesday, the landscaper worked for 6-1/4 hours, which is the same as 6.25 hours.
To find the total hours worked, we add the hours worked on each day:
Total hours worked = 8.5 + 3.33 + 6.25
Total hours worked = 18.08
Therefore, the landscaper worked a total of 18.08 hours.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Please answer correctly and explain reasoning for brainliest (If correct) and thanks!
What are the coordinates of A’?
Check the picture below.
14. Jill tossed a coin three times. Draw a tree diagram to represent the sample space.
Here is a tree diagram to represent the sample space of Jill tossing a coin three times:
H T
/ \ / \
H T H T
/ \ / \ / \ / \
H T H T H T H T
What is sample space?The concept of the sample space is fundamental to the calculation of probabilities because it defines the set of all possible outcomes that we are interested in measuring the likelihood of. By specifying the sample space, we can define events (subsets of the sample space) and assign probabilities to those events.
To know more about sample space,
https://brainly.com/question/30206035
#SPJ1
Solve 4x-8 + 4 = 16.
The solutions are x =
and x =
BEYHODNA
MIGRANTA
www
www
wer
Answer:
x = 5
Step-by-step explanation:
To solve the equation 4x-8 + 4 = 16, we first combine the constants on the left-hand side:
4x-8+4 = 16
4x-4 = 16
Next, we add 4 to both sides to isolate the variable on one side:
4x-4+4 = 16+4
4x = 20
Finally, we divide both sides by 4 to solve for x:
4x/4 = 20/4
x = 5
Therefore, the solution to the equation 4x-8 + 4 = 16 is x = 5.
inverse statement of M implies N
The inverse statement of M implies N is a negation of both the conclusion and the hypothesis.
What is an inverse statement?An inverse statement is one in which both the hypothesis and the conclusion are negated. Let us assume a statement with the hypothesis and conclusion as follows: If they annul the law, we will drive carelessly.
The inverse of this statement will be: If they do not annul the law, we will not drive carelessly. So, both the hypothesis and the conclusion are rewritten in negative terms.
Learn more about inverse statements here:
https://brainly.com/question/30045217
#SPJ1
Can someone please answer these 2 questions asap and please show me the breakdown of it so I learn a better way of doing it.
Answer:
x = 5√2, x = 3√2
Step-by-step explanation:
Question 1:
Using the 30-60-90 triangle properties, YX = WX /√3.
YX = 5√3 /√3 = 5.
Using the 45-45-90 triangle properties, x = YX *√2.
x = 5 *√2 = 5√2.
Question 2:
Using the 45-45-90 triangle properties, BC = AB *√2.
BC = 6 *√2 = 6√2.
Using the 30-60-90 triangle properties, x = BC / 2.
x = 6√2 / 2 = 3√2.
I-Ready
What is the distance between point P and point Q?
Given that f (x) = StartFraction 2 Over x squared EndFraction, What is the value of f(x) when x = 2? a. 2.5 c. 1 b. 2 d. 0.5
For the given function the value of f(x) when x = 2 is 0.5, option (d) is correct.
The given function f(x) = 2/x² represents a hyperbolic curve with a vertical asymptote at x=0 and a horizontal asymptote at y=0. As x approaches infinity or negative infinity, the value of the function approaches 0.
The given function is:
f(x) = 2 ÷ x²
We are asked to find the value of f(x) when x = 2.
Substituting x = 2, we get:
f(2) = 2 ÷ 2²
= 2 ÷ 4
= 1/2
= 0.5
Alternatively, we can use the fact that 2² = 4 and simplify the expression as follows:
f(x) = 2 ÷ x²
= 2 ÷ 4
= 1/2
Then, substituting x = 2, we get the same result:
f(2) = 1/2
f = 0.5
Hence, option (d) is correct.
To learn more about function follow the link:
https://brainly.com/question/13581879
#SPJ1
Trapezoid WXYZ is rotated 90 degrees clockwise around point A to create trapezoid WXYZ what must be true A angle W is half the measure of angle W B Wx is equal to WX
C WX is perpendicular to YZ D WZ is equal to WX
Answer:
B) Wx is equal to WX.
When a shape is rotated 90 degrees, the length of its sides and angles do not change. Therefore, the length of Wx in the original trapezoid will be the same as the length of WX in the rotated trapezoid.
Below is a model of the athletic field at IDEA Brentwood what is the area in square yards
The area in square yards of the athletic field at IDEA Brentwood would be 170. 24 yards ²
How to find the area ?The shape of the athletic field at IDEA Brentwood is shown to be a rectangle with two semi - circles attached.
The area of the athletic field at IDEA Brentwood is the sum of the areas of these shapes.
Area of rectangle :
= 15 x 8
= 120 yards ²
The area of the two semi - circles would be:
= π x radius x radius
= π x ( 8 / 2 ) x ( 8 / 2 )
= 50. 24 yards ²
The area of the athletic field at IDEA Brentwood is :
= 50. 24 + 120
= 170. 24 yards ²
Find out more on area at https://brainly.com/question/13875666
#SPJ1
You deposit $3000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 30 years?
The amount you will have in the account in 30 years is $22836.77
How much will you have in the account in 30 years?From the question, we have the following parameters that can be used in our computation:
You deposit $3000 each year 7% interest compounded annually.Using the above as a guide, we have the following:
Amount = P * (1 + r)^t
Where
P = Principal = 3000
r = Rate = 7%
t = time = 30
Substitute the known values in the above equation, so, we have the following representation
Amount = 3000 * (1 + 7%)^30
Evaluate
Amount = 22836.77
Hence, the amount is 22836.77
Read more about compound interest at
https://brainly.com/question/28020457
#SPJ1