Answer:
25%
Step-by-step explanation:
add both kinds of tickets first to get the total
24 early admission + 72 regular = 96 total tickets
then divide 24 early tickets by 96 total tickets to get the decimal, then multiply by 100 to get percent
[tex]\frac{24}{96} = 0.25 * 100 = 25[/tex]%
Solve the system of equations.
y = 6x
y= x^2 +5
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Using quadratic function concepts, it is found that:
a) The value of a is -2000.
b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
c) Between 140 and 160 computers need to be produced.
The profit is modeled by:
[tex]y = a(x - 100)(x - 200)[/tex]
Item a:
If 120 computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.
[tex]y = a(x - 100)(x - 200)[/tex]
[tex]3200000 = a(120 - 100)(120 - 200)[/tex]
[tex]-1600a = 3200000[/tex]
[tex]a = -\frac{3200000}{1600}[/tex]
[tex]a = -2000[/tex]
The value of a is -2000.
Item b:
We first place the quadratic function into standard form, thus:
[tex]y = -2000(x - 100)(x - 200)[/tex]
[tex]y = -2000(x^2 - 300x + 20000)[/tex]
[tex]y = -2000x^2 + 600000x - 40000000[/tex]
Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].
Then, we have to find the vertex:
[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]
[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]
The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
Item c:
We are working with a concave down parabola, hence the range is between the roots of:
[tex]y = -200x^2 + 600000x - 40000000[/tex]
[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]
[tex]-200x^2 + 600000x - 44800000 = 0[/tex]
The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].
Then:
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]
[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]
[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]
Between 140 and 160 computers need to be produced.
A similar problem is given at https://brainly.com/question/24705734
Identify the kind of sample that is described
The student government association at a certain college chooses three classes, at random, being taught during a given semester
and samples all students in those classes to ask about a new grading policy.
Answer:
Cluster sampling
Step-by-step explanation:
Choosing groups and sampling whole group.
NO LINKS..... There are 39 people on a city bus. The ratio of adults to children is 10:3. At the next stop, 3 adults get off the bus. What is the new ratio of adults to children on the bus? A. 3:1 B. 9:2 C. 7:3 D. 12:1
The labor cost for a certain dish is $40 per hour. If it takes 45 minutes to make the dish, what is the labor cost for this particular dish?
Bài 4: 350 Cho tam giác ABC nhọn, hai đường cao BD, CE cắt nhau tại H. M là trung điểm của BC. K đối xứng với H qua M. a) Chứng minh tứ giác BHCKlà hình bình hành b) Chứng minh BK LAB và CK AC. c) Gọi 0 là trung điểm của AK. Chứng minh OM IBC d) Gọi N là điểm đối xứng với H qua BC. Chứng minh BNKC là hình thang cần
First round 0.69 to the nearest tenth.
Answer:
0.69 rounded to the nearest tenth is 0.7
estimate the quotient 368/4
The replacement set for an equation is {8, 9, 12, 18}
The equation is represented by the sentence, "2/3 of a number is 12."
What is the solution set of the equation?
O {8}
O {9}
O {12}
O {18}
Answer:
18
Step-by-step explanation:
The solution set of the equation will be;
⇒ x = 18
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''2/3 of a number is 12."
Now,
Since, The expression is,
''2/3 of a number is 12."
Let a number = x
So, We can formulate;
⇒ 2/3 of x = 12
⇒ 2/3 × x = 12
⇒ 2x = 12 × 3
⇒ 2x = 36
⇒ x = 36/2
⇒ x = 18
Thus, The solution set of the equation will be;
⇒ x = 18
Learn more about the mathematical expression visit:
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find the missing side length. giving BRAINLIEST.
Answer:
15 degrees
Step-by-step explanation:
It is a right angle!
61 + 14 = 75
90 - 75 = 15
Hope this helps!!! :))
Decide if each statement is true for all values of x.
Choose Yes or No for each statement.
a. If the distance from 0 to x on a number line is equal to 2, then
-2 + x = 0.
b. If the distance from 0 to x on a number line is less than 2, then
-2 + x is negative.
C.
If the distance from 0 to x on a number line is greater than 2,
then -2 + x is positive.
d. If the distance from 0 to x on a number line is greater than 0,
then -2 + x is positive.
Answer:
a. yes
b. yes
c. yes
d. no
a.
Solve the equation by rearranging
-2 + x = 0
x = 2
b.
If x < 2, x - 2 will always be negative
x - 2 cannot be positive unless you add a number greater than 2, therefore the statement is true
c.
If x > 2, x - 2 will always be positive
d.
If x is only greater than 0, then x - 2 could be positive, negative or 0 depending on if x < 2, x = 2 or if x > 2
These questions can be easily answered through graphing the equation: y = -2 + x, or equivalently, y = x - 2
I have a question here.
9514 1404 393
Answer:
P(F|A) = 35%
Step-by-step explanation:
P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35
P(F|A) = 35%
_____
The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.
What type of correlation does the data set display?
х
y
2
13
5 11
7 10
9
8
11
2
A. Negative
O B. No correlation
C. Positive
Answer:
B-NO CORRELATION.....
Luisa buys a plane ticket that has an original price of $\$240$ . She uses a coupon code to get a $30\%$ discount off of the original price. She is then charged a $7\%$ tax on the discounted price.
What is the final cost for Luisa's plane ticket?
Answer:
c
Step-by-step explanation:
Answer:
179.76
Step-by-step explanation:
If there are 240 dollars then minus 30%240-30%=168.00Then, plus the 7% 168+7%= 179.76I hope this helps!
HELP
The perimeter of a rectangular pool is 740 yd. If the length is 30 yd less than four times the width, find the length and width.
The length of the rectangular pool is __ yd.
A ladybug crawls around the outside of a rectangle that measures 7.5 cm by 8.5 cm. The ladybug stays exactly 3.9 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?
Answer:
185.64 [tex]cm^{2}[/tex]
Step-by-step explanation:
Width =7.5+3.9*2 = 15.3 cm
Length = 8.5+3.9*2=16.3 cm
Big Area = 15.3*16.3 = 249.39 [tex]cm^{2}[/tex]
Small Area = 7.5*8.5 = 63.75 1 [tex]cm^{2}[/tex]
area bounded by the path of the bug = 249.39-63.75 = 185.64 [tex]cm^{2}[/tex]
Help me poeaseeeeeeeeeeee
Answer:
C. Hope It's Help :)))))
Answer:
4.5
Step-by-step explanation:
∛100 = ?
100 = 2 x 2 x 5 x 5
∛100
= ∛ ( 2 x 2 x 5 x 5 )
= 4.642
4.642 ~ 4.5
The approximation 4.642 can also be written as 4.5
Therefore,
∛100 = 4.5
In the 7th grade, 30% of students wear a medium size shirt. If 93 students wear a medium, how many total students are there in the 7th grade?
Answer:
310
Step-by-step explanation:
Answer:
310
Step-by-step explanation:
is/of = % / 100
[tex]93/x = 30/100[/tex]
93 * 100=9300
9300/30 = 310
QUIEN MONDA ME AYUDA A SOLUCIONA'
f(x)=(3x-4x)(-8x² + 3x)
POR FAVOR
Answer:
- x(- 8x^2 + 3x)
8x^3 - 3x^2
4 lbs of tomato’s cost $14 complete the double number line so that it shows how much it will cost for up to 8 lbs of tomato’s
Answer:
the answer is 28$ because since the lbs get doubled so ypu also have to double the cost
Investing $10,000 in a savings account at 3% annual interest compounded monthly will result in approximately how much money after
10 years?
formula: A = P(1 + r/m)^mt
O $10, 564.68
O $13, 439.16
O $13, 493.54
O $13,000.00
Answer:
$13,493.54
Step-by-step explanation:
We are gonna use the provided formula: A = P(1 + r/m)^mt
A = Final amount (?)
P = Starting amount (10,000)
r = rate (0.03)
m = times applied (12 since it is compounded monthly)
t = years (10)
A = 10,000(1 + 0.03/12)^12·10
I would suggest using a calculator, but let's try to get a little far with this
A = 10,000(1 + 0.0025)^12·10
A = 10,000(1.0025)^120
A = 13,493.535471908333
Use point-slope form to write the equation of a line that passes through the point (19,-17) with slop -5/3
Answer:
y +17 = -5/3(x -19)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
You want a line with slope -5/3 through point (19, -17). Its equation is ...
y -(-17) = -5/3(x -19) . . . . . substitute the given values
y +17 = -5/3(x -19) . . . . . simplify
What is the z-score of x, when x = 1 and X ~ N (12,3)? Must Show Working
Answer:
=1−12/3≈−3.67
Step-by-step explanation:
The z-score of x = 1, when x ~ N(12, 3), is approximately -3.6667.
To find the z-score of x when x = 1, we'll use the formula for z-score:
z = (x - μ) / σ
Given:
x = 1
μ (mean) = 12
σ (standard deviation) = 3
Substituting these values into the formula, we get:
z = (1 - 12) / 3
Calculating the numerator:
1 - 12 = -11
Dividing the numerator by the denominator:
-11 / 3 ≈ -3.6667
Therefore, the z-score of x = 1, when x follows a normal distribution with a mean of 12 and a standard deviation of 3, is approximately -3.6667.
To know more about z-score, refer here:
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5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
thanks ill mark brainliest
If I'm watching Gossip Girl, then it is Monday.
Hope this helps you!
Answer:
if i am watching Gossip Girl then it is monday
Step-by-step explanation:
that is the common sense that everyone should know
hope this helps everyone and have a great summer!
If a total of 1100 square centimeters of material is to be used to make a box with a square base and an open top, find the largest possible volume of such a box.
Answer:
Step-by-step explanation:
Let x = base side length
y = side height
volume V = x²y
y = V/x²
surface area
A = x² + 4xy
A = x² + 4x(V/x²)
A = x² + 4V/x
Solving for volume
V = (A - x²)(x/4)
V = ¼(Ax - x³)
a maximum will occur when the derivative equals zero
V' = ¼(A - 3x²)
0 = ¼(A - 3x²)
0 = A - 3x²
3x² = A
3x² = 1100
x² = (1100 / 3)
x = √(1100/3)
V = (A - x²)(x/4)
V = (1100 - √(1100/3))²(√(1100/3)/4)
V = 3,510.56606...
V = 3510.6 cm³
The box height will be half of the base side length.
y = ½√(1100/3)
Mr. Levy has a budget of $18,000. Uniforms for the marching band cost $315 each, and he needs 62 uniforms. He says, "Since 60x$300=$18,000, I can stay within the budget." Do you agree? Explain.
Answer:
No. See explanation below.
Step-by-step explanation:
No.
Since 60 × $300 = $18,000, he would be exactly at budget if he needed 60 uniforms and if each uniform cost $300, but he needs more than 60 uniforms, and each uniform costs more than $315, so the total cost is definitely more than $18,000.
No, Mr. Levy would not be staying within budget.
Sure, 60 · $300 is $18,00, but he didn't take in the other $15 or the 2 extra uniforms.
If he were to do the math correctly, he should have done 62 · $315, which would be $19,530.
If Mr. Levy were to buy all the uniforms and not worry about it because "60 · $300 is $18,000," he would go over the budget by $1,530.
Have a luvely day!
What is the value of x? Midsegments of triangles
Hi how u doin ?
[tex] \frac{16}{x + 4} = \frac{1}{2} \\ [/tex]
inverse both sides
[tex] \frac{x + 4}{16} = \frac{2}{1} \\ [/tex]
Multiply both sides by 16
[tex]16 \times \frac{x + 4}{16} = 16 \times 2 \\ [/tex]
[tex]x + 4 = 32[/tex]
Subtract both sides 4
[tex]x + 4 - 4 = 32 - 4[/tex]
[tex]x = 28[/tex]
There u go..... Have a great day ❤
this is just and addition to the great posting below, just supplementing.
keeping in mind that the midsegment of a triangle is half the length of the parallel base/side, Check the picture below.
Bradley is 27 years older than Madison seven years go, the sum of their ages was 59?
Answer:
how old is Madison right then I can't really help u solve it with that little info
write the fraction as a percent 3/16
Answer:
18.75%
Step-by-step explanation:
3 / 16 = 0.1875
0.1875 x 100 = 18.75
Answer:
Now we can see that our fraction is 18.75/100,
Step-by-step explanation:
which means that 3/16 as a percentage is 18.75%.
