The profit function is P(x) = ( - x² / 5000 ) + 11.9x - 95000.
35,000 baseball game tickets were sold at $5 per ticket.
When the price is raised to $6, then 30,000 tickets were sold.
The variable and fixed costs for the ballpark owners are $0.10 and $95,000 respectively.
Let's say x is the number of tickets sold, and P is the profit.
Then,
P = ax + b
At P = 5,
5 = (35000)a + b ---------(1)
At P = 6,
6 = (30000)a + b --------(2)
Subtracting (2) from (1),
5 - 6 = (35000)a + b - (30000)a - b
- 1 = 5000(a)
a = ( - 1/5000)
So if a = ( - 1/5000),
Then,
5 = (35000)a + b
5 = (35000)( - 1 / 5000 ) + b
5 = - 7 + b
b = 12
Therefore,
P(x) = ( - x /5000) + 12
Now, the profit function is:
Profit = Revenue - Costs
P(x) = R(x) - C(x)
Now, R(x) = xp(x)
R(x) = x[ ( - x/5000) + 12]
R(x) = ( - x² / 5000 ) + 12x
The fixed cost is F(x) = $95000
Hence, the costs will be:
C(x) = 95000 + (0.10)x
Therefore the profit function is:
P(x) = R(x) - C(x)
P(x) = ( - x² / 5000 ) + 12x - 95000 - (0.10)x
P(x) = ( - x² / 5000 ) + 11.9x - 95000
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evaluate 2pq - r for p = 3, q = 2 and r = 5
Answer:
7
Step-by-step explanation:
[tex]2 \times p \times q - r\\= 2 \times 3 \times 2 - 5\\= 2 \times 3\\= 6\\= 6 \times 2\\= 12\\= 12 - 5\\= 7[/tex]
Completa la tabla.
Número - opuesto - valor - absoluto
-5
10
-56
34
La tabla completa es:
Numero opuesto valor absoluto.
-5 5 5
10 -10 10
-56 56 56
34 -34 34
¿Como completar la tabla?
En este caso tenemos la tabla:
Numero opuesto valor absoluto.
-5
10
-56
34
Para completar la tabla debemos encontrar los opuestos de esos numeros, el opuesto de cualquier numero real es un número con el mismo valor absoluto pero distinto signo, entonces podemos completar la tabla:
Numero opuesto valor absoluto.
-5 5
10 -10
-56 56
34 -34
Ahora debemos encontrar los valores absolutos, eso es el mismo número pero en forma positiva, completando eso obtendremos:
Numero opuesto valor absoluto.
-5 5 5
10 -10 10
-56 56 56
34 -34 34
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There are 100 marbles in a bag. 21 are green, 26 are blue, 17 are red, 19 are yellow, and 17 are orange. True or False: 17% of the
marbles are orange and red.
Answer:
False
Step-by-step explanation:
there are total 17+17=34 orange and red marbles
34/100 is 34%, not 17%
Given the function that g(x) = 2x² − 5x + 1, find each of the following.
-
a) g(0)
b) g(-2)
c) g(4)
d) g(-x)
e) g(1 – t)
Step-by-step explanation:
g(x) = 2x² − 5x + 1
a) g(0)
g(0)=2[tex](0)^{2}[/tex]-5(0)+1
=1
b) g(-2)
g(2)=2[tex](-2)^{2}[/tex]-5(-2)+1
=8+10+1
=19
c) g(4)
g(4)=2[tex](4)^{2}[/tex]-5(4)+1
=32-20+1
=11
d) g(-x)
g(x) = 2x² − 5x + 1
g(-x)=2[tex](-x)^{2}[/tex]-5(-x)+1
=2[tex]x^{2}[/tex]+5x+1
e) g(1 – t)
g(x) = 2x² − 5x + 1
g(1-t)=2[tex](1-t)^{2}[/tex]-5(1-t)+1
=2[tex]t^{2}[/tex]+t-2
HELP PLEASE I NEED HELP! Please solve
4(0.5n-6)=n-0.25(12+8n)
Brainiest given
Answer: -21
Step-by-step explanation:
x[tex]x/y+y/x/x/y-y/x[/tex]
Answer: 1
Step-by-step explanation:
here only taking the power of x in account
we have
[tex]\frac{x}{y} + \frac{y}{x}-\frac{x}{y} - \frac{y}{x}[/tex]
=0
since [tex]x^{0}[/tex] =1
so solution is 1
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Using the scale found on the number line, how would the number 1 be best represented?
A 0/8. B 4/8. C 8/1. D 7/8. E 8/8
PLEASE I NEED HELP
Based on the given scale, the number, 1, on the number line would best be represented by the number A. 8/8.
What is the scale?Based on the first number given which is 1/8, we know that the scale is such that the denominator would be 8.
The best way to write 1 would therefore be to express it in terms of a ratio with 8 being the denominator.
That would mean that 1 would be 8/8 which results in 1.
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There are 20 flowers in a bouquet, and 2 of them are roses. What percent of the flowers are roses?
Answer: 10%
Step-by-step explanation:
Mia has 7 boxes of cherry tarts. Each box has 8 cherry tarts. Explain how to use an open number line to solve.
Use of open number line is
7 boxes of cherry tarts
Each box has 8 cherry tarts.
Total cheny tarts is
[tex]$$7 \times 8=7+7+7+7+7+7+7+7$$[/tex]
A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals. On a horizontal number line, the numbers grow as we walk to the right and drop as we move to the left.
A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is said to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers. So, on a number line, we may say that the value of numbers grows as we travel to the right. This indicates that there are more numbers on the right than on the left.
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Some one pls help me will give Brainly
Answer:
100 miles
Step-by-step explanation:
We need to read the graph to determine the answer.
The input is 10 hours
Using the x, go up until you hit the red line and read the y value
The y value is 100 miles
How much must be the last repayment be made if the loan is terminated after 5 year for which a loan of K10,000 is taken at 12% p.a. flat, where the loan is repaid by equal quarterly repayments for 9 years?
Answer:
Step-by-step explanation:
I need help with this please and work out the problem
Answer:The answer is 425
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points. 90 ÷ [ 10 + ( 3 2 − 4 ) ]
2.368
Given expression is
90 ÷ [ 10 + ( 3 2 − 4 ) ]
According to BODMAS rule we simplify this expression
The order of operations consist of evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction.
90 ÷ [ 10 + ( 3 2 − 4 ) ]= 90 ÷ [ 10 + 28 ]
= 90 ÷ [ 38]
= 90 ÷38
= 2.368
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A passbook savings account has a rate of 10%. Find the effective annual yield, rounded to the nearest tenth of a percent, if the interest is compounded monthly.
Effective Annual Yield : 10.5%
Effective Annual Yield
In the case of monthly there are 12 months in a year. Therefore, making n=12. So, the effective annual yield if the interest 10% is compounded monthly is given as r=10, n=12;
[tex]Y= (1 +\frac{r}{n}) ^{n}-1 = (1 +\frac{0.1}{12}) ^{12}-1\\ =(1 +0.00833) ^{12}-1\\ =(1.00833) ^{12}-1\\ = 1.10466 -1\\ = 0.10466[/tex]
But, this is decimal form, to convert it to the percentage form we have to multiply the decimal form by 100 and finally, place "%" after the last digit of the number. That is,
Y= 0.10466× 100%
Y=10.46% or 10.5%
Effective Annual Yield : 10.5%
Rs=3x st=6x-5 rt=58 find st
The value of st is 30.4
As S is the point in RT, it implies that RS+st=Rt. Therefore according to the question,
3x+6x-5=58
⟹9x=58-5
or
9x=53
⟹x=5.9
RS = 3×5.9=17.7
st=(6×5.9)-5=35.4-5=30.4
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HELP ASAP PLEASE!! FIND THE DOMAIN AND RANGE OF THJS GRAPH
The range is all the y-value or outputs of a function. In the case of a horizontal line, this is only one value.
The range is the y-intercept, -5.
The domain is all x-values or inputs of a function. For this graph, it is all real numbers (as you said).
The domain is all real numbers.
If the perimeter of the irregular figure is 35 2/3 cm, then what is the missing side length?
The two numbers on top are 4 3/4 and 3 1/2
the ones inside left to right is 1 1/3 1 1/3 again and 3 1/2
Then the one in the outside bottom is 9.25 cm
The one at the right outside is 6.6 cm
Left outside is the missing one
srry for bad photo quality
The missing side of the figure if the perimeter is 35 2/3 cm, is calculated as: 10.9 cm.
How to Find the Perimeter of a Figure?The perimeter of a figure is the total length surrounding the figure.
We are given that the figure shown below has a perimeter of 35 2/3 cm, which means all the total length of all its sides equals 35 2/3 cm.
To find the missing length, sum all the given lengths and subtract it from the perimeter of the figure.
Sum of all the given lengths = 4 3/4 + 3 1/2 + 1 1/3 + 1 1/3 + 3 1/2 + 9.25 + 6.6 = 4.75 + 2.3 + 1.3 + 1.3 + 2.3 + 9.25 + 6.6
Sum of all the given lengths = 27.8 cm
The missing side = 38 2/3 - 27.8 = 38.7 - 27.8
The missing side = 10.9 cm.
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The area of a certain desert (Desert 1) is eight times the area of another desert (Desert 2). If the sum of their areas is
27,000,000 square miles, find the area of each desert.
What is the area of Desert 1?
Answer:
1687500
Step-by-step explanation:
If their sum is 27,000,000 then their are millions of ways to find this answer. like one can be 13500000. But that answer is obviously incorrect. If you divide that by 8, your answer will be 1687500.
Compare the fractions -14/21, -3/9
Answer:
It's answer is..-2/7 and -1/3
Tony buys CDs at a music store. You get 20% off the price of a CD. You still have to add 5% sales tax. But you find the sales tax after the discount. So you save money on taxes, too." How much money does Tony save by getting the discount before adding the sales tax? Explain by using expressions.
Answer:
Lets say a CD costs a 100 dollars (which it obviosly doesn't)
No matter whether we do the discount before or after tax, it'll end up costing 84 dollars to by the CD.
80% of 100 = 80
80 * 1.05 = 84
80% of 105 = 84
The order in which he does the discount and the tax doesn't matter.
Hope this helps.
Select the action you would use to solve x-4=16 then select property that justifies the action
The value of x is 64 and the property that justifies that action is the multiplication property of equality.
What is an expression?
It is defined as the combination of constants and variables with mathematical operators.
Mathematical statements are called expressions if they contain at least two terms that are connected by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
As an illustration, the expression x + y is one where x and y are terms with an addition operator in between. There are two types of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.
We have an expression:
x/4 = 16
Apply Multiplication property of equality:
Multiply by 4 on both sides:
(x/4)4 = 16×4
x = 64
Thus, the value of x is 64 and the property that justifies that action is the multiplication property of equality option (1) is correct.
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DJI manufactures the Mavic Air 2 quadcopter and offered a 6/4/3 chain discount to primary customers. Drone Nerds is a primary customer and ordered 15 Mavic Air 2's for a total $26,500 list price.
Drone nerds will get 15 Mavic air 2's for $23196.192 after offering a chain discount of 6/4/3.
Chain discount is the series of discounts that are offered from the list price of an object when bought from a store.
A general example of a 10/5 chain discount denotes that there will be a series of discounts on the list price. First a discount of 10% is awarded on the list price then a further 5% on the reduced price.
The List price of the drones is $26500.
Chain discount=6/4/3
So the first discount received is 6% on the $26500.
Price after the first discount=26500- 6%of 26500
Simplifying we get
[tex]=26500-.06\times26500\\=24910[/tex]
The price after the first discount is $24910
Now we will apply the 4% discount on $24910
Price after second discount=24910-4% of 24910
=$23913.60
Now we apply the third discount
Price after third discount is=23913.60-3%of 23913.60
=$23196.192
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4. — 1+4= + 12 10 1 2 3 4 5 can you answer this?
Answer:
7=37
Step-by-step explanation:
no solution problem
a. Invent two situations that you think would result in distributions with similar measures of variability. Explain your reasoning.
b. Invent two situations that you think would result in distributions with different measures of variability. Explain your reasoning.
Answer:
Step-by-step explanation:
Using measures of variability, it is found that:
a. The situations with constant measures involve constant distributions, such as the number of snow days in Miami each year.
b. The situations with different measures involve constant distributions, such as the number of snow days in Buffalo each year.
What are the measures of variability in a data-set?There are three measures of variability in a data-set: the range, the standard deviation and the variance.
The range is given by the difference between the maximum value and the minimum value of a data-set.
The standard deviation and the variance are described as follows:
The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.The variance is the square of the standard deviation.Uniform(constants) data-sets will have similar measures. One example is the number of snow days in Miami each year, which is always of 0, hence the three measures will be of 0.
More disperse data-set will have different measures. Taking the city of Buffalo, in New York, as an example. On average, it should have 40 days of snow each winter, but on colder winters it can have 60 and warmer winters it can have 20. Hence the distribution with the number of snow days in Buffalo over a period of 20 years will have different range, standard deviation and variances.
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Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x-2
s(x)=3x+6
Write the expressions for (r+s) (x) and (r-s)(x) and evaluate (r·s)(−1).
(r+s)(x) =
(r-s)(x) =
(r.s) (-1) =
Assume that the following definitions of the functions r and s apply to all real numbers x. r(x)=x-2s(x)=3x+6 Evaluate (rs)(1) and write the equations for (r+s)(x) and (r-s)(x). r+s(x) = r-s(x) = r.s(-1) =
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
The types of functions can be broadly classified into four types. Based on Element: One to one Function, many to one function, onto function, one to one and onto function, into function.
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Financial Goals: Tutorial
Part C
? Question
Diego's cash flow is the difference of his monthly income, $3,000, and his total expenses, $2,715. Which equation
correctly represents Diego's cash flow?
O cash flow = $2,715 - $3,000
O cash flow = $3,000-$2,715
O $3,000 = $2,715 - cash flow
$3,000 = cash flow-$2,715
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The equation that represents Diego's cash flow is cash flow = $3,000-$2,715.
What is the cash flow?Cash flow is the difference between cash inflows and cash outflows. Cash inflow are additions to the cash flow. An example of cash inflow is monthly income. Cash outflow would reduce the cash flow. An example of cash inflow is expenses.
Cash inflow = income - expense
$3,000 - $2,715
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Which number has a 4 that is 10 times greater than the 4 in 542?
A. 5,420
B. 54.2
C. 5.42
D. 0.542
Answer:
A. 5,420
Step-by-step explanation:
4 in 542 is in the tens place and 4 in 5,420 is in the hundreds.
The number A. 5420 has a 4 that is 10 times greater than the 4 in 542.
What is the standard decimal form of numbers?The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.
Each digit has a face value and a place value.
The expanded form of 542 is 5×100 + 4×10 + 4.
So, 10 times greater than it should be a multiple of 100 or a digit in the hundreds place.
From the given options the number 5420 in the expanded form is,
5×1000 + 4×100 + 2×10 + 0.
So, The number 5420 has a 4 that is 10 times greater than the 4 in 542.
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Brainliest, 5 star, & thanks.
The coordinates of the vertices of △PQR are P(4, −2) , Q(6, −4) , and R(8, 0) .
The coordinates of the vertices of △P′Q′R′ are P′(−4, 3) , Q′(−6, 5) , and R′(−8, 1) .
Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each. How many containers can she fill?
She will need 11 containers.
How to calculate the fraction?From the information, Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each.
The containers needed will be:
= 8 ÷ 3/4
= 8 × 4/3
= 32/3
= 11
He will need 11 containers.
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A company is designing boxes to ship their product to stores. The design team decides that the width of the box should be five feet shorter than the length, and the height of the box should be three feet longer than the width. Due to shipping constraints, the length of the box can be no greater than six feet.
The volume of the box, V(x), can be modeled by a polynomial function, where x is the length of the box. Which of the following correctly models the situation above and gives the correct domain?
The polynomial function is V(x) = x^3 - 7x^2 + 10x and domain of x is (5,6]
Here we are given that the length of the box is x
Also, the width of the box should be 5 feet shorter than the length
Thus, width = x - 5
and the height should be 3 feet longer than the width
Thus, height = x - 5 + 3
= x - 2
Now the volume of the box = length × width × height
Volume = x (x-5) (x-2)
V(x) = (x^2 - 5x) (x-2)
V(x) = x^3 - 2x^2 - 5x^2 + 10x
V(x) = x^3 - 7x^2 + 10x
Now, looking at the options, we see that option C is eliminated.
Now, let us look at the domain of x
Since width cannot be negative (x-5) > 0
⇒ x > 5
Now in option A domain is (0, 6], but x cannot take values from (0,5). Thus, option A is eliminated.
Similarly, we can eliminate option B also since x cannot take values from (0, 2)
Thus, option 4 is the correct answer.
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Your question was incomplete. Check for the missing options below, in the figure attached.
