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
What is the equation of the line in slope intercept form? Plz ASAP
Answers
Answer:
3) y = -2x + 16
Step-by-step explanation:
__________
Someone please help me out!!
Answers
Answer:
D 3/4
Step-by-step explanation:
imagine a circle with its center in point A and going through point C.
the radius of that circle is 50 (AC).
remember, tan of an angle is sin/cos of that angle.
now rotate in our imagination that triangle to the right around point A, so that the side AB becomes the bottom base line.
now you see that 30 = sin(A)×radius = sin(A)×50
and 40 = cos(A)×radius = cos(A)×50
so, tan(A) = (sin(A)×50)/(cos(A)×50) = sin(A)/cos(A) = 30/40
= 3/4
Which of the following proportional relationships has a higher rate
Answers
Answer:
the proportional relationship represented by the table has a higher rate of change (15)
Step-by-step explanation:
✔️The rate of y = 12x is 12
✔️Rate of the table of values given is:
y/x = 30/2 = 60/4 = 75/5 = 15
Rate of change for the table of values = 15
✔️Rate of change for the graph given can be found using the coordinates of any point on the line:
Using (1, 4),
rate of change = y/x = 4/1 = 4
✅Therefore we can conclude that the proportional relationship represented by the table has a higher rate of change (15)
14. Jerry charges a fee of $45 plus $15 per hour to rent a motorbike. Write an equation to
calculate rental cost and tell what x and y mean. If you have $120 to spend, how long can you rent
for?
Answers
Answer:
5 hours, y= how much money it will cost, and x represents how many hours
Step-by-step explanation:
y= 15x+45
120= 15x+45
-45 -45
75= 15x
75/15×= 5 hours
please help i really need help on this homework
Answers
====================================================
Explanation:
a = 9 and b = 40 are the legs of the right triangle
c is the unknown hypotenuse
Use the pythagorean theorem to find c
a^2 + b^2 = c^2
9^2 + 40^2 = c^2
81 + 1600 = c^2
c^2 = 1681
c = sqrt(1681)
c = 41 meters is the length of the hypotenuse
PROBABLY THE LAST THING IMA ASK FOR NOW BUT UH HELP
Answers
Answer:
3520 Yards
Step-by-step explanation:
1 Mile = 1760 Yards
Answer: 3520 yards
Step-by-step explanation:
1 mile = 5280 x 2 = 10,560
2miles = 10,560
in yards = 3520 yards
A book store is keeping track of the price of books according to the number of pages. Which scatterplot represents
that bivariate data?
tu
400
16
16
12
300
12
300
$ 200
8
100
4
4 8 12 16
Price (8)
4 8 12 16
Books
100 200 300 400
Pages
4 8 12 16
Books
Answers
What is the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation
____ x 10^—
ANSWER ASAP
Answers
Answer:
3 x 10^3
Step-by-step explanation:
1.485 / 4.95 = 0.3
10^6 : 10^2 = 10^(6-2) = 10^4
0.3 x 10^4
3 x 10^3
The quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation is 3 x 10^3
How does scientific notations work?The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
WE need to find the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation.
So we have;
1.485 / 4.95 = 0.3
Therefore,
10^6 : 10^2
= 10^(6-2)
= 10^4
Hence, the scientific notation written as;
0.3 x 10^4
= 3 x 10^3
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Are the ratios 10:2 and 20:4 equivalent
Answers
Answer:
Yes, they are equal
Step-by-step explanation:
To see if a ratio is equal, multiply the first numbers of each ratio to the second numbers. If they equal the same, they are equivalent.
In this case, 10*4 = 40
20*2 = 40
What is the perimeter of the house is c=5
I’m marking brainliest.
Answers
Answer:
132
Step-by-step explanation:
C=5
3c - 2 = 13
2c = 10
4c + 1 = 21
4c + 2 = 22
length = (3c- 2) + (4c + 1)
length = 13 + 21
length = 34
width = (4c + 2) + (2c)
width = 22 + 10
width = 32
Perimeter
p = 2l + 2w
p = 2*34 + 2*32
p = 68 + 64
p = 132
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The most Brendan can afford to pay per year in mortgage payments is $10,500, and his credit score is currently 544. According to the following table for a $150,000 mortgage, by how many points would he need to improve his credit score in order to take a mortgage for $150,000? FICO Interest Monthly Score Rate Payment 720-850 700-719 675-699 620-674 560-619 500-559 5.59% 5.71% 6.25% 7.40% 8.53% 9.29% $860 $872 $924 $1039 $1157 $1238 O A. 16 points B. 156 points C. 76 points D. 131 points
Answers
Answer:
B. 156
Step-by-step explanation:
Brendan would need to improve his credit score by 75 points to qualify for a $150,000 mortgage with a monthly payment of $875 or less.
We have,
To determine Brendan's interest rate and monthly payment for a $150,000 mortgage, we need to find which range his FICO score falls in.
From the table, we see that his score of 544 falls in the range of 500-559, which corresponds to an interest rate of 9.29% and a monthly payment of $1238.
Next, we can use the mortgage payment of $10,500 per year to determine the maximum monthly payment Brendan can afford.
i.e
$10,500 per year / 12 months
= $875 per month
Since this amount is less than the monthly payment for the 500-559 FICO score range, Brendan would need to improve his credit score to qualify for a $150,000 mortgage.
To determine how many points he needs to improve, we can look at the next lowest interest rate and payment in the table, which corresponds to a FICO score range of 560-619.
The monthly payment for this range is $1157, which is below Brendan's maximum payment of $875.
So, he needs to improve his credit score to fall into this range.
To determine how many points he needs to improve,
we can subtract the minimum FICO score in the 560-619 range (560) from his current FICO score (544), and then add that difference to the maximum FICO score in the 560-619 range (619).
i.e
(619 - 560) + (560 - 544)
= 59 + 16
= 75
Therefore,
Brendan would need to improve his credit score by 75 points to qualify for a $150,000 mortgage with a monthly payment of $875 or less.
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Use the picture to find each of the following: HELPPP
Answers
2: 38°
3: 38°
4: 142°
6: 142°
7: 38°
8: 142°
There are 8 different actors auditioning for the roles of Larry, Curly and Moe. How many ways could the roles be cast? Best answer get Brainliest.
Answers
What is the value of x?
Answers
Answer:
5cm
Step-by-step explanation:
c^2=a^2+b^2
b^2=square root c^2-b^2
=square root 13^2-12^2= 5
description of turning effects
Answers
Answer:
The turning effect of a force is known as the moment. It is the product of the force multiplied by the perpendicular distance from the line of action of the force to the pivot or point where the object will turn.
Please help!!!! Giving brainliest and extra points!!!! (Click on the photo)
Answers
Answer:
i dont understand the question much cuz its only told berries so i think is both rasberry and strawberry
Step-by-step explanation:
if so here my solve: Both berries are 38% of the graph, we have equation 38%×290 = 110,2
hmmmm maybe the ans is D. 110
Help ASAP. With lots of points will give brainiest!
I only need help explaining and showing the steps
STRUCTURE Tell whether the triangles are similar.
Answers
Answer:
yes it's similar triangle because it has same shape but size is not equal
A rectangular prism has a length of 5 cm, a width of 2. 25 cm, and a height of 0.5 cm.
What is the surface area of the rectangular prism?
A. 5.625 cm2
B. 7.25 cm2
O C. 14.875 cm
D. 29.75 cm?
Answers
D. 29.75 is Right answer...
I hope you understand....
Find the measure of the arc indicated. Assume that lines which appear tangent are tangent.
Answers
Answer:
Minor Arc AC = 360 - 235 = 125°
[tex]mABC = \frac{Major \ arc - Minor \ arc}{2} = \frac{235 - 125}{2} = \frac{110}{2} = 55[/tex]
Ravi solved this question. His teacher told him he made a mistake. Can you helphim to get the correct step ? 56–(–73) = 56 + __________
Answers
Answer:
56+73
Step-by-step explanation:
Jessica's family took a 7-hour-and-27-minute trip on a train. They left at 7:00 a.m.
What time did Jessica's family arrive?
Answers
The ninth graders are hosting the next school dance. They would like to make at least $500 profit from selling tickets. They estimate that at most 300 students will attend the dance. They will earn 3 for each ticket purchased in advance and $4 for each ticket purchased at the door. Write a system or inequalities to represent this situation.
Answers
HELP!! An apartment building is infested with 6.2 x 10^3 rats. on average each of these rats produces 5.5 x 10^1 offspring each year. assuming no rats leave or die, how many additional rats will live in this building one year from now? write your answer in standard form.
Answers
The additional rats will live in this building one year from now is 3.41 x 10^5.
What is the additional number of rats?Standard form is used in expressing large numbers in smaller numbers. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(6.2 x 10^3) x ( 5.5 x 10^1) = 34.10 x 10^4
= 3.41 x 10^5
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4x-2=-13 solve for x
Answers
Answer:
x = -11/4
Step-by-step explanation:
4x - 2 = -13
(add 2 on both sides)
4x - 2 + 2 = -13 + 2
4x = -11
(Divide 4 on both sides)
4/4x = -11/4
x = -11/4
Answer:
ANSWER :-[tex]4x - 2 = -13\\4x = -13 + 2\\4x = -11\\x = - \frac{11}{4} \\x =- 2.75\\[/tex]
The value of x is - 11/4 in fraction form & - 2.75 in standard form.
hope it helps
# RainbowSalt2222
49 divided by what gives you 7
Answers
Answer:
49 ÷ 7 = 7
Step-by-step explanation:
49 ÷ y = 7
7 = 49 ÷ y
7 · y = 49 ÷ y · y
7y = 49
7y ÷ 7 = 49 ÷ 7
y = 7
Which equation best describes the situation below?
5 less than a number is 15.
Answers
Let the number is X
So the equation will be X-5 = 15
.Answer only the second question and show steps
Answers
Answer:
Step-by-step explanation:
Perimeter is found by adding all the sides of a figure together. We have 2 lengths that are 10.5 long, and 2 widths that are 8.75 wide. Adding these together:
10.5 + 10.5 + 8.75 + 8.75 = 38.5 cm
this answer for # 2 question
please help!! 40 points. if you guess or just comment to take my points i will make sure your account gets banned. thanks! i want a small simple explanation.
Answers
5) m<EBF= 474
6)m<ABC= 70
5) 20x-10= x+390
5) 20x-10 3x+15+60=474
20x-10=390
3x+15= 24
plug in the x into the equation: (x+20)---> (20x20)=400
400-10= 390
6) 3x+1+2x+14= 28
3x= 9
2x=4
plug in the x into the equation: (3x+1)----> 2x+14= 28
7 is a bit confusing...
8 G and F is confusing me sorry...
this was so fu-cking hard sorry it took long...
Find tan S and tan R. Write each answer as a fraction in simplest form
Answers
tan S:
opposite: 45
adjacent: 24
45/24 = 15/8
tan R
opposite: 24
adjacent: 45
24/45 = 8/15
We know the trigonometric ratios that tan = opposite/adjacent So, tan S is equal to 15/8 and tan R is equal to 8/15.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
We know that tan = opposite/adjacent
tan S
opposite: 45
adjacent: 24
So,
tan S = 45/24 = 15/8
tan R
opposite: 24
adjacent: 45
So,
tan R = 24/45 = 8/15
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