The revenue, in dollars. of a company that produces video game systems can be modeled by the expression 52 +
2t - 80. The cost in dollars, of producing the video game systems can be modeled by 5.22 -+ 100, where x is the
number of video game systems sold. If profit is the difference between the revenue and the cost, what expression
represents the profit?
Profit can be modeled by the polynomial expression
If 1,000 video game systems are sold, the company's profit is $
Answers
Answer:
1). Profit = 3x - 180
2) Profit of selling 1000 video games = $2820
Step-by-step explanation:
Expression for the revenue = 5x² + 2x - 80
Expression for the production cost of the video games = 5x² - x + 100
Since, profit is the difference between the revenue and the cost,
Expression for the profit will be,
Profit = Revenue - Cost
= (5x² + 2x - 80) - (5x² - x + 100)
= 5x² + 2x - 80 - 5x² + x - 100
= 3x - 180
Here, x = Number of video games sold
If number of video games sold = 1000
Profit = (3×1000) - 180
= 3000 - 180
= $2820
Related Questions
Alles Company uses a job costing system that applies factory overhead on the basis of direct labor dollars. No job was in process on February 1. During the month of February, the company worked on these three jobs:
Job Number
B10 C44 G15
Direct labor ($6/hour) $ 35,000 ? $ 10,500
Direct materials 43,000 62,000 ?
Overhead applied ? 22,000 5,250
During the month, the company completed and transferred Job B10 to the Finished Goods Inventory. Jobs C44 and G15 were not completed and remain in Work-in-Process at the cost of $158,650 at the end of the month. Actual factory overhead costs during the month totaled $40,000.
Required:
1. What is the predetermined factory overhead rate?
2. Compute the amount of underapplied or overapplied overhead for February.
Questions to answers are below:
Question 1:
What is the predetermined factory overhead rate? (round answer to 2 decimal places.)
Overhead rate____?____ per direct labor dollar.
Question 2:
Compute the amount of underapplied or overapplied overhead for February. (Do not round intermediate calculations.)
Overapplied overhead ____?_____.
Answers
Answer:
The labor force participation rate and the employment-population ratio were both unchanged over the month, at 61.5 percent and 57.4 percent, respectively. These measures are up from their recent April lows but are lower than in February by 1.8 percentage points and 3.7 percentage points, respectively.Jan 8, 2021
www.bls.gov › pdf › empsitPDF
Unemployment - Bureau of Labor Statistics
simplify
(x-y)square2 +(2x+3y)square2
Answers
The TV you want to buy costs $230.56 dollars but there is a 10 percent discount. You have $210.00 Can you buy it? Explain your reasoning.
Answers
Answer:
Yes you can by the tv.
Step-by-step explanation:
When you take the 10% off, it cost exactly 210 dollars
A triangle has vertices A (3,2), B (-5,-3), and C (-5,2) .
What is the perimeter, in units, of triangle ABC ? Round your answer to the nearest tenth.
Answers
Answer:
22.4 units
Step-by-step explanation:
A triangle has vertices A (3,2), B (-5,-3), and C (-5,2) .
We solve for the units
Therefore perimeter, in units, of triangle ABC is 22.4 units
Solve the following equation for x 9x - 18 = 81
Answers
Answer:
x= 11
Step-by-step explanation:
or, 9x-18=81
or, 9x=81+18
or, 9x=99
or, x=99/9
or, x=11
Answer:
x=11
Step-by-step explanation:
9x−18=81
Step 1: Add 18 to both sides.
9x−18+18=81+18
9x=99
Step 2: Divide both sides by 9.
9x/9 = 99/9
Answer: x=11
Solve for x (round to the nearest thousandth)
to
FREE
HEALTH
le
110
CA
65
40°
х
Answers
Answer:
x = 79.799
Step-by-step explanation:
Apply trigonometric ratio formula to find x.
Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.
✔️Adjacent length of the triangle with reference angle 40°:
tan (40) = 110/adj
adj*tan(40) = 110
Adjacent length = 110/tan(40)
Adjacent length = 131.093 (nearest thousandth)
✔️Adjacent length of the triangle with reference angle 65°:
tan (65) = 110/adj
adj*tan(65) = 110
Adjacent length = 110/tan(65)
Adjacent length = 51.294 (nearest thousandth)
✔️Find x:
x = 131.093 - 51.294
x = 79.799
2/3x-1/3y=2 in slope intercept form
Answers
Answer:
y=2x-6
Step-by-step explanation:
Divide the following problem:
5 ÷9/10
Answers
Answer:
5 5/9
Step-by-step explanation:
Hope this helps
6. Represent each of the following elevations using a rational number. Then, order the numbers from least to
greatest
122 meters above sea level
Cayuga Lake
1,629 meters above sea level
Mount Marcy
New York Stock Exchange Vault
15.24 meters below sea level
Answers
Answer:
-15.24m ; 122 m ; 1629 m
Step-by-step explanation:
Representing the elevation of the Given monuments with rational numbers :
The sea level is regarded as a midpoint ; or zero level whereby points below are represented as negative while points above are represented as positive
Cayuga lake = 122 meters above sea level = + 122 meters
Mount Marcy = 1,629 meters above sea level = + 1629 meters
New. York stock exchange vault = 15.24 meters below sea level = - 15.24 m
Arranging from least to highest :
-15.24m ; 122 m ; 1629 m
Mr Dyson bought 5 gallons of paint. He used 3/4 of the 5 gallons to paint his house how much paint did mr dyson use?
Answers
Answer:
3.9
Step-by-step explanation:
each gallon is 1.3
How many different triangles can you make if you are
given these three measurements for angles?
25
120°
35
00
с
0
1
2
3
(infinitely many)
Answers
Or is already said we could also use that italicize lowercase M or other such letters to another important word to know your work
Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round you answer to the nearest tenth.
Answers
Answer:
7.1
Step-by-step explanation:
write pythagorean theorem [tex]x^{2}[/tex] + [tex]x^{2}[/tex] = [tex]10^2[/tex]
2[tex]x^2[/tex] = 100
divide 2 both side:
[tex]x^{2}[/tex] = 50
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{50}[/tex]
[tex]x[/tex] = [tex]\sqrt{50}[/tex]
[tex]x[/tex] = 7.07106781
round to nearest tenth:
[tex]x[/tex] = 7.1
A quantity with an initial value of 3400 grows exponentially at a rate of 1.5% every 3 minutes. What is the value of the quantity after 1.65 hours, to the nearest hundredth?
Answers
Answer:
FV= 5,557.23
Step-by-step explanation:
Giving the following information:
Present value= 3,400
Growth rate (g)= 1.5% every 3 minutes
Number of periods (n)= (1.65*60) / 3= 33
To calculate the future value, we need to use the following formula:
FV= PV*(1+g)^n
FV= 3,400*(1.015^33)
FV= 5,557.23
Simplify the following Expression by combining like terms: *
8x2 - 7x – 8 - 11 + 3x2 + 4x
Answers
Answer:
option 2
Step-by-step explanation:
Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?
point
line
plane
distance
Answers
Answer:
B. Line
Step-by-step explanation:
got it right on edge 2021
Answer:
line
Step-by-step explanation:
An object's temperature cools exponentially after it is removed from a furnace (hot oven). If its initial temperature is 730°C and it cools at a rate of 2.95% per minute, find the object's temperature after 18.0 minutes.
Answers
Answer:
The object's temperature after 18 minutes is of 426ºC.
Step-by-step explanation:
The temperature after t minutes is modeled by an exponential function, which has the following format:
[tex]T(t) = T(0)(1-r)^{t}[/tex]
In which T(0) is the initial temperature, and r is the cooling rate, as a decimal.
Its initial temperature is 730°C and it cools at a rate of 2.95% per minute
This means that [tex]T(0) = 730, r = 0.0295[/tex]. So
[tex]T(t) = T(0)(1-r)^{t}[/tex]
[tex]T(t) = 730(1-0.0295)^{t}[/tex]
[tex]T(t) = 730(0.9705)^{t}[/tex]
Find the object's temperature after 18.0 minutes.
This is [tex]T(18)[/tex]. So
[tex]T(t) = 730(0.9705)^{t}[/tex]
[tex]T(18) = 730(0.9705)^{18} = 426[/tex]
The object's temperature after 18 minutes is of 426ºC.
The required value of the object's temperature after 18.0 minutes is 425.83.
Given that,
An object's temperature cools exponentially after it is removed from a furnace (hot oven).
If its initial temperature is 730°C and it cools at a rate of 2.95% per minute,
We have to determine,
Find the object's temperature after 18.0 minutes.
According to the question,
The initial temperature is 730°C and it cools at a rate of 2.95% per minute,
The temperature after t minutes is modeled by an exponential function, which has the following format is,
[tex]= T(t) = T(0).(1-r)^t[/tex]
Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.
Then,
T(0) = 730°c and r = 2.95% = 0.0295
Substitute all the values in the equation,
[tex]= T(t) = T(0).(1-r)^t\\\\= T(t) = 730 \times (1-0.0295)^t[/tex]
Therefore,
The object's temperature after 18.0 minutes is,
[tex]= T(t) = T(0).(1-r)^t\\\\= T(18) = 730 \times (1-0.0295)^{18}\\\\= T(18) = 730 \times 0.5833\\\\ = T(18) = 425.8361[/tex]
Hence, The required value of the object's temperature after 18.0 minutes is 425.83.
To know more about Exponential Function click the link given below.
https://brainly.com/question/25678010
How do I graph the solution
Answers
What's the length of AB?
Answers
You already have a and b which are 3 and 4. Square them up and you will get 9 + 16 = c^2.
Add.
25 = c^2
Lastly, square root both sides.
5 = c
The length of AB is 5.
2.14a
+1.b25
______
c.865
how do I solve this and what are the answers for a. b. and c.
Answers
Answer:
a=0, b=7, c=3
Step-by-step explanation:
Addition
The following addition is shown, where a,b, and c are unknown:
2.14a
+ 1.b25
-------------
c.865
We'll determine the values of the unknown variables by following the rules of addition.
The last column shows a+5=5. Since a cannot be greater than 9, thus a must be 0.
a = 0
This sum produces no carry.
Now we have 4 + 2 = 6
This is already correct and no variable needs to be calculated
Now we have 1 + b = 8. This leads to b=8-1=7
b = 7
This sum produces no carry.
Finally: 2 + 1 = c. This implies that
c=3
Substituting in the addition:
2.140
+ 1.725
-------------
3.865
4x^2−4x+10 and 2x^2+5x-82x^2+5x−8.
Answers
2(2x^2-2x+5) and 2(40x^2-5x+4)
Step-by-step explanation:
Answer:
4x^2−4x+10 = 2(2x^2−2x+5)
2x^2+5x-82x^2+5x−8 = 2(−40x^2+5x−4)
Step-by-step explanation:
4x^2−4x+10
Factor 4x^2−4x+10
4x^2−4x+10
=2(2x^2−2x+5)
2x^2+5x-82x^2+5x−8
Factor 2x^2+5x−82x^2+5x−8
−80x^2+10x−8
=2(−40x^2+5x−4)
Select the number line that shows that two opposite numbers have a sum of
0.
7
O A.
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
3
OB. +
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
2
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
D.
Answers
Answer:
this question is kinda everywhere can you tell me what it is asking
Step-by-step explanation:
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting at least 1 red?
Answers
Answer:
5/11
Step-by-step explanation:
P(atleast 1 red) = 1 - P(no red)
P(atleast 1 red) = 1 - [(6/11)(5/11) + (6/11)(6/11)]
P(atleast 1 red) = 5/11
Answer:
6/11
Step-by-step explanation:
6+5 = 11 marbles
This is how you solve it.
PLEASE ANSWER WILL MARK BRAINLIEST You play a board game with your little brother. You pick a card that sends you back five spaces. On your next turn, you must move back three more spaces. On your third turn, you get to move forward three spaces. Which expression best shows how you could find your new spot on the game board?
ANSWER CHOICES
-5 + (-3) + (-3)
-5 + 3 + 3
-5 + (-3) + 3
5 + (-3) + (-3)
Answers
Answer:
-5 + (-3) + 3
Step-by-step explanation:
Answer:
-5 + (-3) + 3
Hope this helps :)
Jasmine evaluated the expression3x + 2when x= 5.
3x+2
35+2
37
Explain Jasmine's mistake.
Answers
No, jasmine did not get it right, 3x+2=15. its not that hard to do. all you gotta do is multiple 3 with x then add 2 and you will get your answer
HELP FAST PLEASE Last year, the Humane Society of a certain city took in 21 320 animals. If the Humane Society
was open all 52 weeks that year, how many animals were taken in each week on average?
Answers
Answer:
Step-by-step explanation:
to find the average of how many animals were took in, you will divide
21320/52=410
on average, the society took in 410 animals per week
The base of a parallelogram is (2+3)units and the corresponding height is (2−3)units.Find the area of the parallelogram in terms of .What will be the area of the parallelogram if =units?
Answers
Answer:
In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex].
If x = 30 units, the area will be of 3591 units squared.
Step-by-step explanation:
Area of a parallelogram:
The area of a parallelogram of base b and height h is given by:
[tex]A = bh[/tex]
In this question:
We have that [tex]b = 2x + 3, h = 2x - 3[/tex].
So
[tex]A = (2x + 3)(2x - 3) = 4x^2 - 6x + 6x - 9 = 4x^2 - 9[/tex]
In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex]
If x = 30 units:
[tex]A = 4*30^2 - 9 = 4*900 - 9 = 3600 - 9 = 3591[/tex]
If x = 30 units, the area will be of 3591 units squared.
what is another way to write 6⋅(4/3)=8
Answers
Answer:
8 = 8
Step-by-step explanation:
6(4/3) = 8
8 = 8
Simplify the following expression:
(i-3) +6i-3(8 - i)
Answers
Answer:
10i-27
Step-by-step explanation:
(i-3)+6i-3(8-i)
(i-3)+6i-24+3i
(i-3)+9i-24
10i-3-24
10i-27
Answer:
-27 + 10i
Step-by-step explanation:
What is the perpendicular slope of m= -3/2
Answers
Answer:
-2/3
Step-by-step explanation:
X= square root of 10x-24
Answers
Step by step solution :
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√10x-24 = x
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√10x-24)2 = (x)2
After squaring
10x-24 = x2
STEP
3
:
Solve the quadratic equation
Rearranged equation
x2 - 10x + 24 = 0
This equation has two rational roots:
{x1, x2}={6, 4}
STEP
4
:
Check that the first solution is correct
Original equation
√10x-24 = x
Plug in 6 for x
√10•(6)-24 = (6)
Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6
STEP
5
:
Check that the second solution is correct
Original equation
√10x-24 = x
Plug in 4 for x
√10•(4)-24 = (4)
Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
