The company must sell 400 radios to break even, i.e, when the revenue function and cost function is same.
The sum of the units sold times the price per unit is the revenue. Multiply the output level by the pricing function to get the revenue function.
The cost function is the total cost of production of the item which includes the cost of raw materials, labor, transport and establishment costs.
The cost function and the revenue function is given as:
Cost function is C(x) =5000 + 7.5x
And the revenue function is R(x) = 20x
a)In the break even point cost will be equal to revenue
so, C(x)=R(x)
or,5000+7.5x=20x
or,12.5x=5000
or, x=5000÷12.5
or, x=400
The number of radios produced to break even is 400.
(b)When the company breaks even then x=400
∴R(200)=200×20=8000
So the amount of money is dollars that is coming in or going out is given by 8000.
(c)We know that the profit=Revenue - cost
So the required profit function is given by:
p(x)=R(x)-C(x)
or, p(x)=20x-5000-7.5x
or,p(x)=12.5x-5000
(d)The company sells 500 radios
Therefore profit will be given by
p(500)=12.5×500-5000
or,p(500)=6250-5000
or, p(500)=1250
So on selling 500 radios the company will earn $1875.
Disclaimer: The revenue and cost function of the equation are
C(x) =5000 + 7.5x and R(x) = 20x .
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Ralph wants to join a travel soccer team, a discretionary expense.
His parents tell him he must get a job to earn the money to cover the costs. Ralph now views this discretionary expense as an essential expense since he must pay his parents back. The costs of the travel team are listed below.
Uniform - $67.00
Registration - $50.00
Tournaments -$775.00
Travel - $300.00
a. Find the total cost of being on the team.
b. If Ralph takes a summer job and works 10 weeks over the summer, how much must he average each week to cover the travel team expenses?
c. If Ralph is paid at a flat rate of exactly q dollars each week, what is the standard deviation of the distribution of his 10 weekly paychecks?
a) The total cost of being on the team is; $1192
b) Ralph average cost is; $119.20
c) The standard deviation of the distribution of his 10 weekly paychecks is; $0
What is the Total Cost?
We are given the costs of the travel team as listed below;
Uniform - $67.00
Registration - $50.00
Tournaments -$775.00
Travel - $300.00
a) To find the total cost of being on the team, we will simply add all the individual costs as given to get;
Total Cost = 67 + 50 + 775 + 300
Total Cost = $1192
b) If Ralph takes a summer job and works 10 weeks over the summer, then his average cost is;
Average Cost = 1192/10
Average Cost = $119.20
c) If he is paid at a flat rate of exactly q dollars each week, the standard deviation of the distribution of his 10 weekly paychecks is;
$0
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Answer:
Step-by-step explanation:
first one is wrong and I don’t know the answer yet
What property is illustrated in the following equation?
(2 · 3) + (2 · 9) = ? (3 + 9)
Associative Property of Multiplication
Commutative Property of Addition
Distributive Property
Identity Property of Addition
Urgent!!!
Answer:
Associative Property of Multiplication
Step-by-step explanation:
i need to type in two answers! the value and measure pls!!!!
Simplify the expression. (Remember the order of operations.)
[18-(-11)]-[22+(-18)
HELP ME OUT PLEASE!!!
The number of chaperones at a school field trip must be the
number of students attending, plus the 2 teacher sponsors. Write
a rule for the number of chaperones that must be on the trip.
Write ordered pairs to represent the number of chaperones that
must attend the trip when there are 120, 150, 200, and 210 students.
Answer:
(120,122), (150,152), (200,202), (210,212)
Step-by-step explanation:
just add two to the number of students
The boiling point of jet fuel is 329°F. Rounded to the nearest degree, what is the temperature in degrees Celsius?
Answer: 165 Celcius
I used a Farheinit to Celcius calculator :)
A sporting goods manufacturer produces skateboards and in-line skates. Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19. What is the maximum profit the company can make given these constraints?
$1100
$1100
$1200
$1200
$1360
$1360
$2200
$2200
The maximum profit the company can make given these constraints is; $1360
How to Solve Linear Programming Problems?
We are given that;
Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19
Thus, the inequalities are as follows;
Let x represent number of skateboards
Let y represent in-line skates
Thus;
x ≥ 30
y ≥ 20
x ≤ 60
y ≤ 40
x + y ≤ 90
y ≤ -x + 90
f(x, y) = 12x + 19y
At (30, 20), f(30, 20) = 12(30) + 19(20) = $740
At (30, 40), f(30, 40) = 12(30) + 19(40) = $1120
At (50, 40), f(50, 40) = 12(50) + 19(40) = $1360
At (60, 20), f(60, 20) = 12(60) + 19(20) = $1100
At (60, 30), f(60,30) = 12(60) + 19(30) = $1290
Thus, the maximum profit the company can make given these constraints is; $1360
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There are 24 children in a kindergarten class. Three quarters of them can already write the whole alphabet. How many children can write the alphabet?
Answer:
18
Step-by-step explanation:
24/4=6
6 times 3 is 18
Hope It Helps
Sorry If I'm Wrong
3 to the 4th power minus -6 to the 2nd power
Which is one condition that must be present for an inverse relation to be a function?
A. The function must be a straight line. The function must be a straight line.
B. The function must pass the vertical line test. The function must pass the vertical line test.
C. The inverse relation must be a straight line. The inverse relation must be a straight line.
D. The inverse relation must pass the vertical line test.
the correct option is D:
" The inverse relation must pass the vertical line test."
Which is one condition that must be present for an inverse relation to be a function?
Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.
All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.
From this we conclude that the correct option is D:
" The inverse relation must pass the vertical line test."
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Estimate. 51.68 + 33.1 Need help asap
The circle below is centered at the point (3,-4) and has a radius of length 3.
What is its equation?
-5
D. (x-3)² + (y-4)² = 9
A. (x-4)² + (y+ 3)² =
32
B. (x+4)² + (v- 3)² =
32
C. (x-3)² + (y + 4)² = 9
The equation of the circle is given by (C) (x-3)² + (y + 4)² = 9
All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is the separation between any point on the circle and its center.
The equation of the circle in the general form is given by the
(x-a)²+(y-b)²=r²
Where (a,b) is the co-ordinates of the center of the circle and the radius is r.
Now the center of the circle is given at (3,-4) and the radius is r.
We know that the general equation of a circle is [tex]{\displaystyle (x-a)^{2}+(y-b)^{2}=r^{2}}[/tex]
Substituting the values in the equation we get:
(x-3)²+(y-(-4))²=(3)²
or, (x-3)²+(y+4)²=9
Hence the equation of the circle is (x-3)² + (y + 4)² = 9.
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Which expression is equivalent to |8|+|-7|?
Answer: 15
Step-by-step explanation:
|8|+|-7|=
8+7=15 ==> anything inside the absolute value symbol is always positive.
Answer: 8+7
The | | symbol means how far it is from 0 on the number line. -7 is still only 7 away from 0. Now, if you have -|8|, you apply that - to the 8, so then it's -8.
A die is thrown 600 times. These results are obtained.
1 Do the results indicate the die is biased?
2 Justify your answer.
3 Use the data to work out the probability of the die landing on:
a 1, b 3, c 4, d 6
4 If the die were fair how many times would you expect it to land on each
number if it were thrown 600 times?
A die is thrown 600 times and the results are:
1 - 102, 2 - 112, 3 - 181, 4 - 31, 5 - 82, 6 - 921) There is indication of the die being biased.
2) It becomes evident number 3 is landed 181 times and number 4 is landed 31 times, whilst we would expect about 100 outcomes for each number.
3) Probabilities
probability = favorable outcomes / total outcomesa) P(1) = 102/600 = 0.17 or 17%b) P(3) = 181/600 = 0.30 or ~ 30%c) P(4) = 31/600 = 0.05 or ~ 5%d) P(6) = 92/600 = 0.1533 or ~ 15%4) The theoretical probability is same for each number:
P = 1/6*600 = 100 times12. CONCERT A concert venue surveyed
680 concert attendees about the concession
stand. Of those that visited the concession
stand, 527 said the concession stand prices
are excessive, and the remaining 44 did not.
Write an equation to find the number of
attendees a who did not visit the concession
stand. (Lesson 1-1)
Solving a linear equation, we will see that 109 attendees did not visit the concession stand.
How to find the number of attendees who did not visit the concession stand?
First, we know that the total number of surveyed people is 680.
Of these 680, we know that:
527 said that the concession stand prices are excessive.44 said that the concession stand prices are not excessive.x did not visit the concession stand.Now, the 3 numbers above should add up to the total number of surveyed people.
527 + 44 + x = 680
Solving that linear equation for x:
x = 680 - 527 - 44 = 109
We conclude that the number of attendees who did not visit the concession stand is 109.
Pls solve 4m-6=24 pls and thank u
14.
Calculate the voltage at point A
in this circuit.
A-
1V-
0.2mA
56ΚΩ
you run for 6 miles per hour for 27 minutes how far did u run
Answer:
If you ran for 27 minutes at 6 miles per hour, you would have run 2.7 miles.
Step-by-step explanation:
The Step-by-step explanation is, 6 miles per hour = 1 mile per 10 minutes. Therefore in 27 minutes, you would have run 2.7 miles (27 minutes / 10 minutes = 2.7 miles).
2 Write 386 in expanded form
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure
1) Identify a number that makes the
statement below true. Show work to justify
your answer.
-5.8+
= a positive number
r
The number that makes the statement is -5.8 + 6.8 = 1 > 0 so, the statement is -5.8 + 6.8 = a positive number is true statement.
The number that makes the statement is,
Based on given conditions , formulate,
-5.8+ _ = a positive number
Let us assume,
We can take positive number is '1'
Then, we can write,
⇒ 1 - (-5.8)
We can negative sign and negative signs are shows to positive sign,
⇒ 1 + 5.8
We can sum or difference in the product,
⇒ 6.8
Hence,
⇒ -5.8 + 6.8
⇒ 1
So, 1 is positive number.
Then, -5.8 + 6.8 = 1 > 0
Therefore, The number that makes the statement is -5.8 + 6.8 = 1 > 0 so,
-5.8 + 6.8 = a positive number.
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suppose that y varies directly with x and y = -9 when x = 3 write the direct variation that relates to X and Y. y= and find y when x=7
The direct variation is -27/7.
y=27/7 when x= 7
What is variation ?Y= -9 when x = 3 and y varies directly with x which can be written as y directly proportional to x.
[tex]x_{1} /x_{2}[/tex] = [tex]y_{1} /y_{2}[/tex]
3/7 = -9/y2
y2 = - 27/7
A variation is a connection between a set of values for one variable and a different set of values. If m is a nonzero constant and b = 0, the equation y = mx + b yields the function y = mx (often written y = kx), which is known as a direct variation.
The calculus of variations is a branch of mathematical analysis which finds maxima and minima of functionals: mappings from a set of functions to the real numbers. Variations are minor changes in functions and functionals.
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Choose all properties that were used to simplify the following problem:
(Possible answers)
1 associative property of addition
2 associative property of multiplication
3 multiplicative inverse
4 commutative property of multiplication
5 multiplicative identity
6 distributive property
7 commutative property of addition
Multiple choice!
Answer:
In order of operations
commutative property of multiplicationmultiplicative inversemultiplicative identityStep-by-step explanation:
==> [tex]\frac{2}{7} \cdot 53 \cdot {7}{2} \\53 \cdot \frac{2}{7} \cdot {7}{2} \\[/tex]
Commutative property of multiplication : With multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. [tex]a \cdot b \cdot c = b \cdot a\cdot c[/tex]
==> [tex]53 \cdot 1[/tex]
Multiplicative Inverse : A number multiplied by its reciprocal equals
1 : [tex]\frac{a}{b}\cdot\frac{b}{a} = 1[/tex]
==> 53
Multiplicative Identity: Multiplying a number by 1 leaves the number unchanged: [tex]a\cdot1 = a[/tex]
Name the property of 94+7=7+94
Answer:
commutative property of addition
Step-by-step explanation:
the commutative property is when you switch the order of numbers in an addition or multiplication operation
O Associative Property of Multiplication
Zero Property of Multiplication
Identity Property of Multiplication
3. 270.0=0
Please beo I will give brainliest to you
Can you find the slope for me
Answer:
8/5
Step-by-step explanation:
lMary wants apple pls help x^2=11
Answer:
Whats the question?
Step-by-step explanation:
Question 1 of 10
What is the approximate distance between the points (-3,-4) and (-8, 1) on a
coordinate grid?
O A. 11.40 units
OB. 12.08 units
O C. 7.07 units
D. 3.16 units
Answer:
Step-by-step explanation:
Answer:
the approximate distance between the points is
√25+25 = 5√2
=7.07
Step-by-step explanation:
Which one of the following compound inequalities has no solution?
From the following compound inequalities, all the compound inequalities have a solution.
What is compound inequality?
A compound inequality is a type of inequality that comprises two basic inequalities.
From the given information, we have:
3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1
-2x+9>4x+3 and-8x-9 < -7x-3
-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)
3x+1 < 5x+7 and -2x+5 ≤ -5x -10
To determine the compound inequality with no solution, we need to solve each of the inequalities.
1.
3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1
Collect like terms
-7-5 ≤ 5x-3x and 8+1 < 5x+4x
-12 ≤ 2x and 9 <9x
x ≥ -6 and x > 1 (has a solution)
2. -2x+9>4x+3 and-8x-9 < -7x-3
Collect like terms
9-3 > 4x+2x and -9+3 < 8x-7x
6 > 6x and -6 < x
x< 1 and x < -6 (has a solution)
3.
-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)
Open brackets
= -2x +18 < 3x + 12 and -4x + 4 > -5x +10
Collect like terms
= 2x + 3x > 18 - 12 and 5x-4x > 10 -4
= 5x < 6 and x > 6
= x > 6/5 and x > 6 (has a solution)
4.
3x+1 < 5x+7 and -2x+5 ≤ -5x -10
1-7 < 5x-3x and 5x -2x ≤ -10 +2
-6 < 2x and 3x ≤ -8
x > -3 and x ≤ -8/3 ( has a solution)
Therefore, no compound inequalities has no solution.
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