A linear cost function is c(x) = 4x + 300.what is the cost of producing one more item if 50 are currently being produced?
Answers
The cost of producing one more item is 4 if 50 are currently being produced.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.
We have been given that linear cost function is C(x) = 4x + 300.
Here, the slope (4) is the cost per unit,
We have to determine the cost of producing one more item
Since 50 are currently being produced, so substitute the value of x = 51,
So the cost of producing one more item as
⇒ C(51) - C(50) = 4(51) +300 - (4(50) + 300) = 504 - 500 = 4
Therefore, the cost of producing one more item is 4 if 50 are currently being produced.
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Related Questions
a plane flies 1440 miles at a speed of 240mph how long does it take
Answers
We know that the distance is 1440 miles, and the speed is 240 mph.
We can put them in our formula: Time = 1440/240 = 6 hours or (6x60) = 360 minutes.
Speed =
240 =
Rearrange;
time =
time = 6 hours
based on the census state A has 11 fewer electoral votes for president then state b. If the total number of electoral votes for these two states is 87 find the number for each state.
Answers
a = b - 11
b - 11 + b = 87
2b - 11 = 87
2b = 87 + 11
2b = 98
b = 98/2
b = 49 <===
a = b - 11
a = 49 - 11
a = 38 <===
Tatiana wants to give friendship bracelets to her 32 classmates. She already has 5 bracelets, and she can buy more bracelets in packages of 4.
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i dont know but good luck son
Are all whole numbers integers? Please Explain.
Answers
I need help on and c plz
Answers
A pair of fair dice is rolled.
a. What is the probability of rolling a sum of 9?
b. What are the odds against rolling a sum of 9?
Answers
b) 1-1/9=8/9
Favorable outcome {(3+6),(4+5),(5+4),(6+3) = 4 favorable outcome:
P(getting a sum = 9) = 4/36 = 1/9 = 0.1111
the odds AGAINST = the number of failure/number of success
the odds AGAINST = 1/9
Soon after taking an aspirin, a patient has absorbed 320 mg of the drug. After 2 hours, only 80 mg remain. Find an exponential model for the amount of aspirin in the bloodstream after t hours.
Answers
[tex]\bf \textit{2 hours later, t = 2, the patient has 80mg in its blood} \\\\\\ 80=320(1-r)^2\implies \cfrac{80}{320}=(1-r)^2\implies \cfrac{1}{4}=(1-r)^2 \\\\\\ \sqrt{\cfrac{1}{4}}=1-r\implies \cfrac{\sqrt{1}}{\sqrt{4}}=1-r\implies \cfrac{1}{2}=1-r\implies r=1-\cfrac{1}{2} \\\\\\ r=\cfrac{1}{2}\implies r=0.5\qquad A=320(1-0.5)^t\implies \boxed{A=320(0.5)^t}[/tex]
Y + z — 2y
If y=4 and z= 2
(Simplify)
Answers
4+2-2y
Then add like terms
6-2y
That is as simplified as it gets.
Steps to divide 125.00 by 7.75
Answers
7.75 | 125
we want to get rid of that decimal....so we move it 2 spaces to the right....by doing that, we also have to move the decimal under the division sign by 2 spaces to the right....turning ur problem into :
16.1 R 225 <== ur answer
______
775 |12500.0
775
------- subtract
4750
4650
---------subtract
1000
775
-----------subtract
225
Write a number sentence that demonstrates each property.
Commutative property of addition
Associative property of addition
Identity property of addition
Answers
commutative property of addition
a+b=b+a
associative property of additon
(a+b)+c=a+(b+c)
identity property of addition
a+0=a
so number sentatnces
lets say a=1,b=2,c=3
commutative property of addition
1+2=2+1
associative property of addition
(1+2)+3=1+(2+3)
identity property of addition
1+0=1
Answer:
a + b = b + a
(a + b) + c = c + (b + a)
0 + a = a
I hope this helps, have an amazing day!
Identify the triangles that are right triangles.
Answers
Answer to both of these?
Answers
9b/3b = 3
hope this helps
Order square root of three, 2pi, and 1.5 from least to greatest
Answers
The graph of g(x) = (1/2)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?
Answers
f(-x)=2(-x)=-2x
g(x)=-2x
de graph is the one that passes through (0,0) and (1,-2) and -1,2)
Answer:
The answer is option two on the quiz. The graph is asking us to reflect the given graph over the y-axis. Therefore, the only one that matches is the second option. The graph that passes through (0,1), (-1,2), and (0,5)
A certain recipe calls for 2/3 cup of flour. A chef is making an amount that is 3/7 of the recipe . How much should flour should the chef use?
Answers
Simply multiply 2/3 by 3/7 to get the answer. To multiply 2 fractions together, you multiply the numerators together and then multiply the denominator together.
2/3 x 3/7 = 6/21
But 6/21 can be expressed in a simpler fashion. Notice that both 6 and 21 can be evenly divided by 3. So divide both the numerator and denominator by 3
(6/3)/(21/3) = (2)/(7) = 2/7
Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 50 miles per hour and the other train travels at 60 miles per hour. How much time passes until the trains are 660 miles apart?
Answers
Let the first train travel east and the second train travel west.
The distance traveled by the first train is
x = (50 mi/h)*(n h) = 50n mi
The distance traveled by the second train is
y = (60 mi/h)*(n h) = 60n h
The distance between the two trains after n hours is
x + y = 50 n + 60n = 110n mi
Because this distance is 660 miles, therefore
110n = 660
n = 6 hours
Answer: 6 hours
The price of gourmet coffee beans at the corner market has increased 10% per year over the past several years if the current cost is $40 per pound what did a pound of gourmet beans cost two years ago
Answers
Answer: $32.4
Step-by-step explanation:
Given : The price of gourmet coffee beans at the corner market has increased 10% (0.1) per year over the past several years.
The current cost is $40 per pound .
The exponential decay equation is given by :-
[tex]y=A(1-r)^x[/tex], where r is the rate of decay and A is the initial amount and x is the time period.
Put A = 40 , r= 0.1 and t=2, we get
[tex]y=40(1-0.1)^2=\$32.4[/tex]
Hence, the cost of a pound of gourmet beans two years ago= $32.4
For a Circle of radius is 5 feet, find the arc length s subtended by a central angle of 42 degrees
Answers
The arc length subtended by a central angle of 42 degrees in a circle of radius 5 feet is 3.665 feet.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The formula for arc length is given by:
s = rθ
where s is the arc length, r is the radius of the circle, and θ is the central angle subtended by the arc in radians.
To use this formula, we first need to convert the central angle from degrees to radians:
θ = (π/180) × 42 = 0.733 radians
Now we can plug in the values of r and θ into the formula to get:
s = 5 × 0.733
= 3.665 feet
Therefore, the arc length subtended by a central angle of 42 degrees in a circle of radius 5 feet is 3.665 feet.
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Solve for x. 4−(2x+4)=5
A x=6
B x=−10
C x=−52
Answers
4 - 2x - 4 = 5
-2x = 5
x = - 5/2 <==
The solution for x in the equation 4 - (2x + 4) = 5 is x = -5/2. So, the correct choice is x = -5/2. Option c is the correct choice.
To solve for x in the equation 4 - (2x + 4) = 5, follow these steps:
1. First, simplify the equation by combining like terms. Start by removing the parentheses by distributing the negative sign:
4 - 2x - 4 = 5
2. Now, simplify further by combining the constants on the left side of the equation:
(4 - 4) - 2x = 5
0 - 2x = 5
3. Next, isolate the variable x by getting rid of the -2 coefficient. To do this, divide both sides of the equation by -2:
(0 - 2x) / -2 = 5 / -2
0 / -2 - (2x / -2) = -5/2
0 + x = -5/2
4. Finally, simplify:
x = -5/2
So, the solution for x is:
x = -5/2
So, Option c is the correct choice.
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Que. Solve for x. 4−(2x+4)=5
A x=6
B x=−10
C x=−5/2
Tyron is making 52 cookies fi a party. Some will be pecan cookies. Some will be honey ginger cookies . The ratio of pecan to honey ginger cookies will be 7:6 . Suppose you use systematic guess and check to find the number of each type of cookie
Answers
What are all the positive integers that are in the solution set for
m < 3
Answers
The length and width of a rectangle whose length is 8 centimeters more than its width
Answers
Select from the drop-down menu to correctly identify the property shown.
−4.8 + (3.2 + (−1.6)) = (3.2 + (−1.6)) + (−4.8)
A. Associative Property
B. Commutative Property
C. Opposite of a Sum Property
Answers
The answer is Commutative Property.
Answer:
Option B is correct.
Commutative property is used here.
Explanation:
Commutative Property states that we can add any number in any order, we will get the same result i.e, a+b = b+a.
let a = -4.8 and b = (3.2+(-1.6))
then, using commutative property we have;
a+b=b+a then,
−4.8 + (3.2 + (−1.6)) = (3.2 + (−1.6)) + (−4.8).
HELP PLEASE,
Part a of the question was posted earlier on.
Answers
Tony rounded each of the numbers 1,210 and 1,148 to the nearest hundred. Which choice correctly compares the rounded numbers?
Answers
The process of rounding numbers 1,210 and 1,148 to the nearest hundred results in 1,200 and 1,100, respectively. Therefore, 1,200 is greater than 1,100.
Explanation:In Mathematics, rounding numbers is common practice for simplifying calculations. We are given the numbers 1,210 and 1,148, and we need to round them to the nearest hundred.
Let's round them:
1,210 rounded to the nearest hundred is 1,200.1,148 rounded to the nearest hundred is 1,100.So, when comparing the rounded numbers, 1,200 is greater than 1,100.
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Jeff prepares meals in the home of his customers. His fixed cost for transportation and supplies is $14.50. The labor and groceries needed for each family meal is $8.80, so the expense function is E=5.7q+8.8. T or F
Answers
Answer:
The given equation is false
Step-by-step explanation:
Given equation : E= 5.7q+8.8
To show : It is true or false
Solution : Cost of transportation and supplies is fixed = $14.50
Cost of labor and groceries for each family meal =$8.80
Let x is the number of meals
so, according to the question Expense function for x number of meals is
Expense function = x(cost of labor and groceries for 1 family meal)+ cost of transportation and supplies(fixed)
E= 8.80x+14.50 which is the required equation.
Therefore, given equation is false.
805 tens in standard form
Answers
A square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 32 square feet. Find the lengths of the sides of the poster and the sign?
Answers
Area of square two = [tex]x^2[/tex]
The difference of the area of two squares = 32
[tex]x^2-(x^2-4x+4)=32[/tex]
[tex]x^2-x^2+4x-4=32[/tex]
[tex]4x-4=32[/tex]
[tex]4x=32+4[/tex]
[tex]4x=36[/tex]
[tex]x=36/4[/tex]
[tex]x=9[/tex]
The side length of the poster = [tex]x-2 = 9-2 = 7 feet[/tex]
The side length of the sign = [tex]x=9[/tex]
if five notebooks cost $5.25, how much would three notebooks cost?
Answers
$1.05*3 notebooks= $3.15 for 3 notebooks
X-3)4x^2+3x+2 what is the quotient?
Answers
Answer:
4x+15
Step-by-step explanation:
Given : Divisor = [tex]x-3[/tex]
Dividend = [tex]4x^2+3x+2[/tex]
To Find : Quotient
Solution:
[tex]Dividend = (Divisor \times Quotient) + Remainder[/tex]
[tex]4x^2+3x+2 = (x-3 \times 4x) +(15x+2)[/tex]
[tex]4x^2+3x+2 = (x-3 \times 4x+15) +(47)[/tex]
So, The quotient is 4x+15
Hence The quotient of the given expression is 4x+15
Answer: A
Step-by-step explanation: