Answer/Explanation:
Part I: To write an equation for the profit function p(n), we need to subtract the cost function c(n) from the revenue function r(n). This gives us:
p(n) = r(n) - c(n)
p(n) = 65n - (4n + 5500)
p(n) = 61n - 5500
This is the equation for the profit function p(n).
Part II: To find the profit for the concert promoter if he sells 850 tickets, we need to plug in n = 850 into the profit function p(n). This gives us:
p(850) = 61(850) - 5500
p(850) = 51850 - 5500
p(850) = 46350
This means that the concert promoter will make $46,350 in profit if he sells 850 tickets. This is the amount of money that he will have left after paying for his expenses and receiving his revenue from ticket sales.
This problem will be solved by the hints given in the question.
Part 1:
Here it is: \(r(n) - c(n)\)
which goes to
\(65n - (4n + 5500)\)
simplify:
\(61n - 5500\)
Part 2:
\(61(850) - 5500\)
\(51850 - 5500 = \bold{46350}\)
The profit for the 850 tickets he sold was $46350
What is an instance of the word problem?Word problems normally consist of mathematical modeling questions, where facts and statistics about a certain gadget is given and a pupil is needed to expand a version. as an example: Jane had $five.00, then spent $2.00. How tons does she have now?
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Help plz I will give you BRAINLYST I don't know if I spelled that right lol but plz and I will give you a follow!?!?!?!?
The value of 34 + 5 ⋅ 5 = ___.
Answer:
59
34+5×5=34+25=59
Rumus suatu fungsi di nyatakan dengan f (x) = 2x + 5. Jika f(a) = 7, nilai a adalah
Step-by-step explanation:
As my previous answer got deleted for being wrong (in which it was right), I will answer again.
The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.
This is proof that it is right, and that there are some corrupt admins on brainly.
How to get to this solution?
Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).
If we do so, we get 2a + 5 = 7.
Solving this equation, we get a = 1.
PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST!!!!!
Answer:
The average cost of a cat's annual visit is about $23.71 less at A New Leash on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff Stuff Animal Hospital.
Explanation:
As you can see from the data and graph given, the Mean is essentially the average cost and $101.13 (New Leash on Life) is $23.71 less than $121.84 (No Ruff Stuff Animal Hospital).
The set of ordered pairs below is a relation. {(1, 5), (0, 2), (-1, -1), (-2, -4)} What is the range of the relation?
Answer:
{ - 4, - 1, 2, 5 }
Step-by-step explanation:
the range is the values of y from the ordered pairs in the relation
range = { - 4, - 1, 2, 5 }
» How many digits will be in the quotient?
39)4,641
Answer:
There will be three digits in the quotient.
Step-by-step explanation:
The answer would be 119. Hope this helped ^^✨
If m26=85°, what is the measure of 23?
The measure of angle 3 is 95°
What are angles in parallel line?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
When we have two parallel lines and they are intersected by a transversal , the angles on the parallel lines are corresponding and equal.
Therefore angle 3 = angle 7
angle 7 = 180-(angle 6) (angles on a straight line)
angle 7 = 180-85
= 95°
angle 3 = angle = 7 = 95°
Therefore the value of angle 3 is 95°
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arrange the matrices in increasing order of their determinant values.
Answer:
Step-by-step explanation:
The order of the matrices in increasing order of their determinant values will be Third Matrix <Fourth Matrix <Fiftyh Matrix <First Matrix <Second Matrix <Sixth Matrix.
What is Determinant ?The determinant is defined as a scalar value which is associated with the square matrix. If X is a matrix, then the determinant of a matrix is represented by |X| or det (X).
The determinant of the matrices are as follows
1. -10
2. 17
3.-78
4.-30
5. -18
6. 23
Therefore the order of the matrices will be
Third Matrix <Fourth Matrix <Fiftyh Matrix <First Matrix <Second Matrix <Sixth Matrix
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Jason is putting in a new circular shaped fire pit in his backyard.The diameter of the fire pit is 8 feet. What is the area of the backyard does the fire pit have?
what is 3/4. ÷ 1/6
Answer:
9/2
Step-by-step explanation:
Calculator
Diego drank x ounces of juice. Lin drank 1/8 less than that.
Answer:
Step-by-step explanation:
Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance level for his test to help ensure that his patients do not receive too little or too much medication. If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?
A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.
In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.
Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.
If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.
The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.
If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.
Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.
Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.
This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.
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Ryan was hired for $24,980.00 per year.
How much does Ryan receive per month?
Answer:
2,801.6 or rounded as 2,802
Answer:
$2081.666667 ≈ $2081.67 per month
Step-by-step explanation:
$24,980.00 ÷ 12 = $2081.666667 ≈ $2081.67
which of the following are like radicals? Check all
of the boxes that apply.
3x√√xy
-12x√√xy
-2x√√xj
x-√4x2²
-x√x²y
2√xy
Answer:
the first 2
Step-by-step explanation:
let me know if it is wrong
25 POINTS PLS HELP SOME1!!
The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;
The transformation are a rotation and a translation
What is a translation transformation?A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.
The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units
The correct option is the second option; The transformation are a rotation and a translation
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Celine purchased a ball of red yarn costing $2.33. She gave the cashier $7.19. How much change did the cashier give back to Celine?
Answer:
$ 4.86
Step-by-step explanation:
Subtract 7.19 and 2.33
7.19-2.33=4.86
Cristina held a raffle in which each ticket had a cost of 500 pesos. She sold all the tickets but 5 of her friends didn't pay for them immediately, they will pay for them later. How much money do her friends owe Cristina?
Answer:
$100 each.
Step-by-step explanation:
500 divided by 5 = 100
changing percentages as decimal change the following into decimal places 20% , 30%, 25%, 16%
Please help me out! Just put these in order from the picture below.
Answer:
1) {2,0,-2}
2) {1,-3,1}
3) {1,3,5}
4) {0,1,2}
3x+2(4x+2)≤2(6x+1)
Please help
for every 4 male birds in a cage there are 6 females what is the ratio of males to females
The ratio of males to females in the cage is 2:3.
According to the question,
We have the following information:
For every 4 male birds in a cage there are 6 females.
The ratio of males to females = Number of males in the cage: number of females in the cage
Ratio of males to females = 4:6
We can convert this ratio into the simplest form by dividing both the numbers by 2 and this will also be the equivalent ratio of this obtained ratio.
Ratio of males to females = 2:3
Hence, the ratio of males to females in the cage is 2:3.
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a car traveling at 30m/s comes to a stop in 5 seconds. What is the accerlation of this car
Answer: The acceleration of the car is -6 m/s²
Step-by-step explanation:
The acceleration of the car can be found by using the given below equation:
Acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity (u) = 30 m/s
Final velocity (v) = 0 m/s
Time (t) = 5 seconds
Putting the values in the equation:
acceleration = (0 - 30) m/s / 5 s
acceleration = -30 m/s / 5 s
acceleration = -6 m/s²
Therefore, the acceleration of the car is -6 m/s² (negative sign indicates deceleration).
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The following data are from a simple random sample (The population is infinite): Data were collected on the amount spent by 130 customers for lunch at a major Houston restaurant. Based upon past studies the population variance is known with 256. Sample Mean: $21.5 Find the standard error of the mean. If needed round your intermediate calculations to no more than 2 decimal places. Round your final answer to 2 decimal places.
Answer:
1.40
Step-by-step explanation:
Given that
the number of customers are 130
The variance is 256
And, the sample mean is $21.50
We need to find out the standard error
So , the standard deviation is
= sqrt(variance)
= sqrt(256)
= 16
As we know that
standard error of mean = standard deviation ÷ sqrt(n)
= 16 ÷ sqrt(130)
= 1.40
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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Thank you to who it is that helps me!
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
Help! Which of the following side lengths would NOT make a right triangle?
Answer:
The Answer is 10, 50, and 54
Step-by-step explanation:
You want to figure this answer out by using the Pythagorean Theorem. If 10 squared plus 50 squared does not equal 54 squared, then those side lengths can not make a triangle.
the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?
Answer:
116.82 square inches
Step-by-step explanation:
The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.
The area of the four triangles is ...
total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²
The area of the 10-inch square is ...
square area = (10 in)² = 100 in²
Then the total window area is ...
window area = 16.82 in² +100 in²
window area = 116.82 in²
PLEASE HELPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
what is the problem? ummmmmmmmmmmmmmn weird
Step-by-step explanation:
I can't see it thats why
A farmer takes 1 day to fill 4 bins of corn at this rate, how long will it take to fill 320 bins?
A farmer take 80 days to fill 320 bins of corn.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A farmer take 1 day to fill 4 bins of corn.
Now,
Find the number of days to fill 320 bins as;
Since, Number of days to fill 4 bins of corn = 1
So, Number of days to fill 1 bins of corn = 1/4 days
Thus, Number of days to fill 320 bins of corn = 320 ÷ 4
= 80
Hence, A farmer take 80 days to fill 320 bins of corn.
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Someone please help me ASAP!!! Find an equation for the sine graph
Answer:
Step-by-step explanation:
This graph goes up to 2 and down to -2, which tells us that the amplitude of the waves is 2. In the equation for the parent graph, y = sinx, we will throw the 2 out front which is where the amplitude goes in sin and cos curves:
y = 2sinx
Referring to the figure, find the missing length x. Round the answer to the nearest hundredths.
Using cosine function:
\(\begin{gathered} \cos (\theta)=\frac{adjacent}{_{\text{ }}hypotenuse} \\ \cos (45)=\frac{8}{x} \\ solve_{\text{ }}for_{\text{ }}x\colon\text{ } \\ x=\frac{8}{\cos (45)} \\ x=8\sqrt[]{2} \\ x\approx11.31 \end{gathered}\)Answer:
x = 11.31