A travel agent quotes the flight ticket price
for the employees of a company as follows:
When there are 25 people or less, the
ticket price for each person is $1000.
When there are more than 25 people,
with every additional person, the ticket
price for each person will drop by $20.
The lowest ticket price for any employee
is $700.
The company pays $27000 in total. Find the
number of employees going for the trip.
Answers
9514 1404 393
Answer:
30
Step-by-step explanation:
The total price for x employees will be ...
p(x) = {1000x for x ≤ 25; x(1000 -20(x -25)) for 25 < x ≤ 40; 700x for 40 < x}
We want p(x) = 27000.
We can check the value of x for the three different functions to see if it is in the specified domain.
1000x = 27000 ⇒ x = 27 (not in the domain of the first segment)
__
x(1000 -20(x -25)) = 27000
20x(75 -x) = 27000 . . . . . collect terms, factor
(x -37.5)^2 = -1350 +1406.25 . . . . . complete the squre
x = 37.5 ±√56.25 = 37.5 ±7.5 = {30, 45}
x = 30 is in the domain; x = 45 is not
__
700x = 27000
x ≈ 38.57 (not in the domain of the last segment)
__
So, the piecewise cost function will give a total cost of $27000 when the number of employees going for the trip is 30.
Related Questions
Which algebraic expression represents the phrase "two times the quantity of a number minus 12"? 2y - 12 2(y -12) 2ly +12) 2y + 12 Save and Exit Next Mark this and return
Answers
Answer:
The expression is 2 y - 1 2
Step-by-step explanation:
two times the quantity of a number minus 12
Let the number of y.
Two times a number is 2 y
Now minus 12
So, the expression is
2 y - 12
hey! i’ll give brainliest please help
Answers
Answer:
I would assume it to be the second option, or B.
'The bogs the moose lived in became so soggy that only moose with the largest feet could successfully walk on the bog'
Step-by-step explanation:
Answer:
Second one
Step-by-step explanation:
It best explains why moose developed larger feet.
Simplify for ez quick points!
Answers
Answer: 64
Step-by-step explanation: 4x4x4=64
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{4}^3[/tex]
[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]
[tex]\large\text{= 16}\times\large\text{4}[/tex]
[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
"A 20-foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the house. What is the measure of the angle formed by the ladder and the ground?" How do I answer this?
Answers
Answer:
Value of θ [Angle of elevation] = 72.54°
Step-by-step explanation:
Given;
Length of foot ladder = 20 feet
Distance of foot from house (Base) = 6 feet
Find:
Angle of elevation
Computation:
Using trigonometry functions
Cos θ = Base / Hypotenuse
Cos θ = Distance of foot from house (Base) / Length of foot ladder
Cos θ = 6 / 20
Cos θ = 0.3
Cos θ = Cos 72.54
Value of θ [Angle of elevation] = 72.54°
THALES’ THEOREM: If A, B, and C are three different points on a circle with a diameter line AB, then ∠ABC is a right angle True or false
Answers
Answer:
your question is that true
Step-by-step explanation:
my answer is false
Net income was 89400; accounts receivable decreased by 24000; inventory increased by 14400; proceeds from the issuance of long-term debt were 30000
Answers
Answer:
Net cash provided by operating activities = $135,800
Step-by-step explanation:
Given:
Net income = 89400
Accounts receivable decreased = 24000
Inventory increased = 14400
Issuance of long-term debt = 30000
Missing data;
Accounts payable decreased = $8,200
Equipment purchases = 100,000
Depreciation and amortization expense = $45,000
Find:
Net cash provided by operating activities
Computation:
Particular Amount
Net Income 89400
Add Amortization 45000
Net income before non cash expenses 134400
Add Decrease in AR 24000
Less Increase in inventory 14400
Less Decrease in AP 8200
Net cash provided by operating activities $135,800
Here's your question most important and definatily come in your exam...
Answers
Answer:
11 - 6√3
Step-by-step explanation:
Given the expression;
5+2√3/7+4√3
Rationalize
5+2√3/7+4√3 * 7-4√3/7-4√3
= 35 - 20√3+14√3 - 24/49 - 16(3)
= 35 - 20√3+14√3 - 24/49 - 48
= 35 - 20√3+14√3 - 24
= 35 - 6√3- 24
= 35 - 24 - 6√3
= 11 - 6√3
This gives the required solution
1/2 (n + 4) = 6 whats n?
Answers
Answer:
n=8
Step-by-step explanation:
1/2 (n + 4) = 6
n+4=12
n=8
a 1lb box costs .50 to mail through the postal service. a 3lb box cost .92 to mail through the postal service. the postal services calculates the weight to the whole pound. what functions represent the total cost f(x), to send a letter that is x pounds? select all that apply.
A- f(x)=0.21(x-1)+0.50
B- f(x)=0.50(x-1)+0.21
C- f(x)=0.50x
D- f(x)=0.21x+0.29
E- f(x)=0.21x
Answers
Answer:
- f(x)=0.50(x-1)+0.21
Find the Area of the figure below, composed of a rectangle and two
semicircles. Round to the nearest tenths place.
13
10
Answers
Answer:
[tex] 208.5 \: {units}^{2} [/tex]
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 13 by 10 units + Two times the area of one semicircle with radius (10/2 = 5) 5 units.
[tex] = lb + 2 \times \frac{1}{2} \pi {r}^{2} \\ = 13 \times 10 + 3.14 {(5)}^{2} \\ = 130 + 3.14 \times 25 \\ = 130 + 78.5 \\ = 208.5 \: {units}^{2} [/tex]
which of the following statements is not always true?
a + (-b ) = -b + a
(a + b) + (-c) = a + [b + (-c)]
-(-a) = a
a - (-b) = (-b) -a
Answers
Step-by-step explanation:
The answer is a - (-b) = (-b) - a
for example if we take;
a = 4
b = 2
c = 2
and we replace;
4 - ( -2) = (-2) - 4
6 = -6
which is not true....
All the remaining are true....
even u can just use the values of abc and check if its true....
desperate for help lol
Answers
Hi there! See the Identity below in the box:
[tex] \large \boxed{(f - g)(x) = f(x) - g(x)}[/tex]
We are also given that:
f(x) = 0g(x) = 7x+9Substitute both values in the equation.
[tex] \large{(f - g)(x) = 0 - (7x + 9)} \\ \large{(f - g)(x) = - (7x + 9)}[/tex]
Recall the property:
(-)(-) = +(+)(+) = +(-)(+) = -(+)(-) = -Same sign multiplying the same sign = + while opposite = -
Using the distribution property, distribute the negative sign in 7x+9. Since 7x+9 are positive for both terms - distributing in would turn the expression in negative form.
[tex] \large{(f - g)(x) = - 7x - 9}[/tex]
Hence, the answer is -7x-9.
Questions about the problem and my answer or explanation can be asked through comment.
Furthermore, (f-g)(x) is like a factored form of f(x)-g(x).
Hope this helps, and Happy Learning! :)
The percentage of students who attended the talent show for years 2018 to 2013 I shown year | percent of students 2008 | 83% 2009 | 85% 2010 | 89% 2011 | 84% 2012 | 88% 2013 | 81% This year the school has a total of 400 students. How many students do you expect to attend the talent show this year explain how you found your answer please!:)
Answers
Answer:
[tex]Students = 340[/tex]
Step-by-step explanation:
Given
[tex]2008 \to 83\%[/tex]
[tex]2009 \to 85\%[/tex]
[tex]2010 \to 89\%[/tex]
[tex]2011 \to 84\%[/tex]
[tex]2012 \to 88\%[/tex]
[tex]2013 \to 81\%[/tex]
[tex]n = 400[/tex]
Required
The expected number of students
First, calculate the average attendance in the 6 years of the talent show.
[tex]\bar x = \frac{83\% + 85\% + 89\% + 84\% + 88\% + 81\%}{6}[/tex]
[tex]\bar x = \frac{510\%}{6}[/tex]
[tex]\bar x = 85\%[/tex]
The expected number of students is:
[tex]Students =n * \bar x[/tex]
[tex]Students = 400 * 85\%[/tex]
[tex]Students = 340[/tex]
Simplify the sum. State any restrictions on the variable.
Answers
Answer:
2/z
Step-by-step explanation:
Add 5 and 7
The answer will be 12
12/6z
Since both the numerator and denominator is divisible by 6 divide 6 on both the numerator and denominator
2/z
The answer is 2/z
Hope this helps!
For the linear function f(x) = -2x+1 , find the following
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Answers
Given:
The function is:
[tex]f(x)=-2x+1[/tex]
To find:
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Solution:
a. We have,
[tex]f(x)=-2x+1[/tex] ...(i)
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=-2,b=1[/tex]
Therefore, the slope of the line is -2 and the y-intercept is 1.
b. If the slope of a linear function is negative, then the function is decreasing.
If the slope of a linear function is positive, then the function is increasing.
If the slope of a linear function is 0, then the function is constant.
The slope of the linear function is negative.
Therefore, the function is decreasing.
c. We have,
[tex]f(x)=-2x+1[/tex]
At [tex]x=0[/tex], we get
[tex]f(0)=-2(0)+1[/tex]
[tex]f(0)=1[/tex]
So, the y-intercept is at (0,1).
At [tex]f(x)=0[/tex], we get
[tex]0=-2x+1[/tex]
[tex]2x=1[/tex]
[tex]x=\dfrac{1}{2}[/tex]
[tex]x=0.5[/tex]
So, the x-intercept is at [tex]\left(0.5,0\right)[/tex].
Plot the points [tex](0,1), \left(0.5,0\right)[/tex] and connect them by a straight line as shown below:
What is the surface area of the cylinder shown? Use 3.14 for pie. 4cm for the Radius, and 9cm for the height.
Answers
Answer:
326.73cm²
Step-by-step explanation:
=
2
π
r
h
2
π
r
2
=
2
π
4
9
2
π
4
2
≈
326.72564cm²
The sum of two numbers is 90. Their difference is 18. Find
the numbers.
Answers
Answer:
36 & 54
Step-by-step explanation:
By Question :-
Sum of numbers = 90 .Difference of numbers = 18 .Let :-
First Number be x .Second number be y .According to 1st condition :-
[tex]: \implies[/tex] x + y = 90
According to 2nd condition :-
[tex]: \implies[/tex] x - y = 18
Adding the equations :-
[tex]: \implies[/tex] 2x = 18 + 90
[tex]: \implies[/tex] 2x = 108
[tex]: \implies[/tex] x = 54
Therefore :-
[tex]: \implies[/tex] First number = 54
[tex]: \implies[/tex] Second number = 36
Answer:
6 x 15
Step-by-step explanation:
brainliest
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two teams play a series of games, wher both teams have an equal probability of winning each game. its a best- of-five series, so the frist team to win three games is the winner. what is the probability that the series lasts five games
Answers
Answer:
0.375
Step-by-step explanation:
With equal probability, hence
p for both teams = 0.5
First team to win three games win, probability that series lasts 5 games :
This means after 4 games each of the teams must have won 2 each ; and the series decider will be on the 5th game :
Each team winning two games and any of the teams could be the eventual winner :
From binomial relation :
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p = 0.5
Team A :
Winning any 2 from 4 and winning the 5th
(4C2 * 0.5^2 * 0.5^2) * 0.5
0.375 * 0.5 = 0.1875
Team B :
(4C2 * 0.5^2 * 0.5^2) * 0.5
0.375 * 0.5 = 0.1875
Hence, the probability that series lasts five games is :
[4C2*0.5^2*0.5^2)*0.5]+[4C2*0.5^2*0.5^2)*0.5]
0.1875 + 0.1875
= 0.375
CAN SOMEONE HELP ME WITH THE ONE THAT SAYS 5 PLSS
Answers
Answer:
x = - 1, x = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
3x² + 2x - 1 ( to find the zeros, equate to zero )
3x² + 2x - 1 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 1 = - 3 and sum = + 2
The factors are + 3 and - 1
Use these factors to split the x- term
3x² + 3x - x - 1 = 0 ( factor first/second and third/fourth terms )
3x(x + 1) - 1 (x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(3x - 1) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
3x - 1 = 0 ⇒ 3x = 1 ⇒ x = [tex]\frac{1}{3}[/tex]
Answer:
x= 1/3, -1
Step-by-step explanation:
So you can solve this via graphing or solving, I will show both. By solving first you factor the equation and set it equal to 0 (this is because for x intercept y=0)
0 = (3x-1) (x+1)
Use math to solve for x,
3x-1=0
3x=1
x=1/3
(not sure if your teacher wants 1/3 as decimal or fraction, if decimal then use 0.333 in place of 1/3)
x+1=0
x= -1
As far as graphing, just plug the equation in Desmos and wherever the graph cross the x axis is where y values are 0 (which are the x intercepts) and you get the same value.
Using the figure at the left, complete the extended similarity statement:
ΔUVW ∼ Δ _______ ∼ Δ __________
Answers
Answer:
[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]
Step-by-step explanation:
The triangles UVW, UVA and UAW, since all three are right angles and have the same combination of angles, meaning the existence of proportionality between corresponding lengths. That is:
[tex]UA \propto AV \propto UV[/tex], [tex]AW \propto UA \propto UW[/tex], [tex]UW \propto UV \propto WV[/tex]
Hence, the complete similarity statement is:
[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]
What is the value of x in the diagram?
у
X
X-20
Answers
Answer:
y= 35⁰
x = 55⁰
Step-by-step explanation:
total angle of triangle is 180⁰
therefore we can equate:
x + (x-20) + 90 = 180
2x + 70 = 180
x = 55⁰
total of x and y is equal to 90⁰ since it is a right angle;
x + y = 90
x = 55⁰
55⁰ + y = 90
y = 35⁰
Marianna’s company received 1,240 orders for her handmade gift baskets. If her company can complete 98 orders in a day, how many days will it take to complete all of the orders?
Answers
Answer:
13 days
Step-by-step explanation:
1240 divided by 98 is 12.65... and you need to answer in whole days so its 13
Find the m RP value
Answers
Answer:
arcm<RP = 136degrees
Step-by-step explanation:
From the given circle;
<Q = 1/2arc mRP
Given
<Q = 68degrees
68 = 1/2 arcM<RP
2 * 68 = arcm<RP
136 =arcm<RP
arcm<RP = 136degrees
i need help please hurry it needs to get turned in asappppp
Answers
Answer:
11.25
Step-by-step explanation:
find the volume of the cone
Answers
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 6 \\ = 25.13 \: {m}^{3} [/tex]
What is the value of B for the following triangular prism?
120 cm 2
60 cm 2
5 cm 2
2.5 cm 2
Answers
Step-by-step explanation:
[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]
Can someone help? thank you
Answers
Answer:
3,4,5
Step-by-step explanation:
What is the yintercept of the line given by the equation y = 3x + 4???? !!!!
Answers
Answer:
Step-by-step explanation:
y = 3x+4
Let x = 0 to find the y intercept
y = 3*0+4
y =4
The y intercept is 4
Answer:
4
Step-by-step explanation:
Slope equation: y=mx+b
m=slope
x=rate of change
b=y-intercept
If this helps please mark as brainliest
The diagram shows different forms of thermal energy transfer.
What do the flames below the pot represent?
Answers
The circle below is centered at the origin and has a radius of 10. What is its
equation?
Answers
Answer:
x^2 + y^2 = 100
Step-by-step explanation:
The general form of the equation of a circle is
(x-h)^2+(y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-0)^2+ (y-0)^2 = 10^2
x^2 + y^2 = 100