A manufacturer has a monthly fixed cost of $40,000 and a product cost of $8 for each unit produced. The products sells for $12/unit.
Answers
Answer:
48,000
Step-by-step explanation:
The cost function by the given data is C(x) = 40,000 + 8x.
We are given that;
Monthly fixed cost = $40,000
The product cost for each unit produced= $8
Now,
The cost function is a function that gives the total cost of producing a certain number of units. The cost function depends on the fixed cost and the variable cost per unit. The fixed cost is the amount of money that the manufacturer has to pay regardless of how many units are produced, such as rent, salaries, utilities, etc. The variable cost per unit is the amount of money that the manufacturer has to pay for each unit produced, such as materials, labor, etc.
In this case, the fixed cost is $40,000 and the variable cost per unit is $8. To find the cost function, we need to add the fixed cost and the product of the variable cost per unit and the number of units.
We can use x to represent the number of units and C(x) to represent the cost function.
Then we have:
C(x) = fixed cost + (variable cost per unit)(number of units)
C(x) = 40,000 + (8)(x)
Therefore, by algebra the answer will be C(x) = 40,000 + 8x.
More about the Algebra link is given below.
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Related Questions
BRAINLIST!!! SHOW WORK!!!!!
Lines AB and CD are perpendicular to each other. If 3 measures (5x + 2)°, and 4 measures 13°, what is the value of x?
A.
x = 15
B.
x = 77
C.
x = 2
D.
x = 21
Answers
Answer:
A is the correct option.
Step-by-step explanation:
Since both lines are perpendicular to each other, that means the sum of their angles is equal to 90°.
Then,
(5x + 2) ° + 13° = 90°
5x + 15° = 90°
5x = 75°
x = 15°
If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work?
Answers
Answer:
If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work? ∴ 7 women and 11 girls can do complete work in 3 ¾ days.
Step-by-step explanation:
Answer:
7 5/9 days or 8 days (if rounded)Step-by-step explanation:
3 women or 5 girls take 17 days to complete a piece of work.
The amount of work*people is:
(3 + 5)*17 = 136Number of people in the second case:
7 + 11 = 18Time required to complete same work:
136/18 = 7 10/18 = 7 5/9 daysWhat is the cosine ratio of
Answers
Answer:
Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle
Please help! I’ll give brianliest to the correct answer!
Answers
Answer:
y = 1.5x + 9
(y = height; x = number of cups)
Step-by-step explanation:
let x = number of cups
let y = height of the stack
the first cup will add 9 to the height (7.5 + 1.5)
so 9 is the y-intercept
for each additional cup, 1.5 will be added
so y = 1.5x + 9
Chris and Jeff sold 15 .5 pounds of trail mix they sold the trail mix for 3.98 dollars per pound how much money did they collect? explain
Answers
61.69
hope this helps
Answer:
if ever po na dimo nakita yan dito ayan po yung answer
Need help.Pleaseeeee
Answers
Answer:
The first one and the last one
Step-by-step explanation:
To sub x>0 and x<0 into every functions.
Then, u will get some function that y doesn't have a negative value or positive value.
Then, these function doesn't fulfill the range.
Then, u will get the answer.
A water storage tank is 4 m long, 3 m wide and 2 m deep. How many litres of water will it hold?
Answers
Answer:
24 liters
Step-by-step explanation:
2×3×4
The digit 6 in which number represents a value of 6?
Choose 1 answer:
1)906
2)644
3)565
Answers
Answer:
1) 906
Step-by-step explanation:
It's in the ones value making it represent the value of 6
Explanation:
The six in that number is in the ones place without any placeholder behind it, the only other numbers are informs of the number 6.
Therefore the digit six in 906 has the value that represents its actual value: 6
May I please receive help?
Goyxrds?
Answers
Answer:
X = 22°
Step-by-step explanation:
find the positive difference between 16 and -2
Answers
Answer:
14
Step-by-step explanation:
16-2= 14
Hope this helps!
2x/2 = 90/2 pls solve it it
Answers
Answer:
x=45
Step-by-step explanation:
2(45)=90
90/2=90/2
it took jose two-thrids of an hour to complete his math homework on monday,three- fourths of an hour on tuewsday , and two- fifths of an hour on wednesday. how many hours did it take jose to complete his homework altogether
Answers
On Monday, Jose took 2/3 of an hour to complete his math homework. We know that is hour is 60 minutes. Divide 60 by 3 (the denominator) and you get 20. Multiply 20 x 2 (numerator) and you get 40 minutes! 2/3 of an hour is 40 minutes.
On Tuesday, Jose took 3/4 of an hour to complete his homework. Divide 60 by 4 (denominator), and you get 15! Multiply 15 x 3 (numerator) and you get 45. 3/4 of an hour is 45 minutes.
On Wednesday, Jose took 2/5 of an hour to complete his homework. Divide 60 by 5 (denominator), and you get 12. Multiply 12 x 2 (numerator) and you get 24! 2/5 of an hour is 24 minutes.
Finally, you add the three sums of minutes from each day. 40 + 45 + 24 = 109.
Subtract 60 from 109 (109 - 60) and you get a remainder of 49 minutes. This means that it took Jose and hour and 49 minutes to finish his homework.
Hope this helps :)
jack want to buy a coat that cost 74.95 the sales tax rate in his city 61/2% what is the total costfor the coat
Answers
Answer:
$79.7468
Step-by-step explanation:
Does anyone know what type of car this is?
Answers
Answer:
I think it is a Toyota I don't remember the model name.
Step-by-step explanation:
If f(x) = 3x +9 x when f(x) = 30
Answers
Answer:
[tex]x=5/2[/tex]
Step-by-step explanation:
When [tex]f(x)=30[/tex], we have [tex]3x+9x=30[/tex].
Combining like terms on the right side, we have [tex]12x=30[/tex].
Finally, dividing by [tex]12[/tex] we get [tex]x=30/12[/tex].
We note that [tex]30=6*5[/tex] and [tex]12=6*2[/tex], so [tex]30/12=5/2[/tex].
So, [tex]\boxed{x=5/2}[/tex] and we're done!
Help me please ?!?!?!?!?!
Answers
Answer:
option 3 left bottom corner
Step-by-step explanation:
Examine the following budget:
Monthly Budget
Budgeted Amount
Actual Amount
Income
Wages
Savings Interest
$1150
$25
$900
$25
Expenses
Rent
Utilities
Food
Cell Phone
Savings for Car
$400
$100
$250
$75
$200
$400
$80
$200
$75
$200
Net Income
$30
What is the actual net income for the month? What, if any, changes would have improved the budget for the month?
a.
The actual net income for the month is -$30. No changes to the budget are necessary.
b.
The actual net income for the month is $30. No changes to the budget are necessary.
c.
The actual net income for the month is $30. More money could have been spent on food.
d.
The actual net income for the month is -$30. Less money could have been spent on food.
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
Yes the answer is D. The actual net income for the month is -$30. Less money could have been spent on food.
Step-by-step explanation:
Just took the test on Edg. 2021
Factoring with Diagrams
A(x) = x3 – 7x² – 16x +112, You know that
(x-7) is a factor.
x-
х
+3
-7
-72
Check your work
Write A(x) as the product of linear factors.
Answers
Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112
B=(s+k/2)h solve for s
Answers
Answer:
(B/h)(1/2) - k = s
Which graph represents the solution to this system of inequalities?
y<-x-3
y> 2x-4
(Please set graph in 10x10 scale)!!(:
Answers
Answer:
Heres your answer graphed
Step-by-step explanation:
Given ∠A and ∠B are vertical angles with m∠A=50x+10 and m∠B=70x−10 .
What is x?
Enter your answer in the box.
Answers
50x + 10 = 70x - 10
20 = 20x
x= 1
Answer number 8 thank you(;´༎ຶٹ༎ຶ`)
Answers
Answer:
a. Rosemarie has 16 grandchildren.
b. Each grandchild would receive $0.50 or 50 cents.
Step-by-step explanation:
a. There are 4 sons, and each son has 4 children.
Son 1: 4 children
Son 2: 4 children
Son 3: 4 children
Son 4: 4 children
So you can find the total number of grandchildren by adding up the amount of children each of the sons have: 4 + 4 + 4 + 4 = 16
Rosemarie has 16 grandchildren.
b. If the are $8 total, and it is split equally between Rosemarie's sons, it means each son would get $2 (because $8 / 4 sons = 2).
And then each son would split it between his 4 kids. So $2 / 4 kids = $0.50
Each grandchild would receive $0.50 or 50 cents.
Lindsey spent a total of $47 on her mother for her birthday. She bought a $35 box of chocolates and
some balloons for $4 each. What is x, the number of balloons that Lindsey bought for her mother's
birthday?
This is the math problem
35+4x=47
Explain why is correct the word problem
Answers
Answer:
3 ballons
Step-by-step explanation:
47-35=12
4x3=12
10L is repacked into 6DL bottles. how many bottles are filled ??
Answers
Answer:
16
Step-by-step explanation:
1L=10DL
10L=100DL
100DL÷6DL=16.67
What is the solution to this equation?
7- 3√2-x=12
Answers
Solution:
7-3/2-x=12
7-3/14-x
The value of x is -(5 + 3√2).
what is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
7- 3√2-x=12
Now solving
7- 3√2-x=12
Subtract 7 from both side
7- 3√2-x - 7 =12 - 7
- 3√2-x = 5
Now, add 3√2 both side
-3√2 -x + 3√2 = 5 + 3√2
-x= 5 + 3√2
x= -(5 + 3√2)
Hence, the value x is -(5 + 3√2).
Learn more about equation here:
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guys pls help me!!!!!!!
Answers
Because the 88 and the angle next to it should make 180. So 180-88=92 and b and c are vertical angles so they would be the same.
Can someone help me do this
Answers
Answer:
x = 6
Step-by-step explanation:
because of the exterior angle theorem, instead of looking for the inner angle's amount, I can directly look for the other angle's amount.
so:
6x + 8 + 5x + 8 = 82
11x + 16 = 82
11x = 66
x = 6
Which of the following lists of side lengths represents a right triangle?
A. 7, 24, 25
B. 3, 6, 9
C. 5, 12, 14
D. 15, 16, 17
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The side lengths of Triangle representing a right angled Triangle is :
[tex]7,24,25[/tex]because , Pythagoras theorem is true for given Side lengths,
that is :
[tex] {7}^{2} + 24 {}^{2} = 25 {}^{2} [/tex]Answer:
7,24,25
Step-by-step explanation:
Use Pythagorean theorem
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto 25^2=24^2+7^2[/tex]
[tex]\\ \sf\longmapsto 625=576+49[/tex]
[tex]\\ \sf\longmapsto 625=625[/tex]
[tex]\\ \sf\longmapsto verified[/tex]
PLZ HELP!!
Tim explained a function in words and Paul wrote an equation.
Tim
The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it.
Paul
y−1,400=56(x+26)
Whose function has the smaller y-intercept?
Tim’s with a y-intercept of $2,700
Paul’s with a y-intercept of $2,856
Paul’s with a y-intercept of $2,800
Tim’s with a y-intercept of $2,780
Answers
Answer:
Tim's with a y-intercept of $2,780
Step-by-step explanation:
To find Paul's y-intercept, solve the equation y-1400=56(x+26) for y. Then use the standard format for a linear equation y=mx+b to determine the y-intercept which would be b.
Step 1. Get y by itself by adding 1,400 to both sides.
y-1400 + 1400 = y
56(x+26) + 1400 = 56(x+26) + 1400
New equation y = 56(x+26) + 1400
Step 2. Distribute 56(x+26)
56(x+26) = 56 * x + 56 * 26 = 56x + 1456
New equation y = 56x + 1456 + 1400
Step 3. Simplify.
y = 56x + 2856
Paul's y-intercept would be 2856 because when y=0 x=2856
To Find Tim's y-intercept, subtract 225 * 8 from 4580.
225 * 8 = 1800
4580 - 1800 = 2780
Answer:D or answer 4 or 2,780 dollars.
Step-by-step explanation:
test
two thirds of a number increased by five. write in algebraic expression
Answers
Answer:
[tex]\frac{2}{3}[/tex] n + 5
Step-by-step explanation:
let n be the number , then the algebraic expression is
[tex]\frac{2}{3}[/tex] n + 5