A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after the takeover. In which years was the club making loss?
Answers
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
The club losses during the years 4.89 years<t<11.29 years.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
Profit of a football club after a takeover is modeled by p(t) = t³ - 14t² + 20t + 120,
t is the number of years after the takeover
We need to find in which years was the club making loss
p(t) = t³ - 14t² + 20t + 120,
the profit is negative when the club is in loss.
Plot the cubic equation
The profit p(t) is negative in the interval (4.89,11.29)
The number of years t cannot be a negative number
Hence the club lost during the years 4.89 years<t<11.29 years.
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Related Questions
3 classmates share 2 granola bars equally.
Answers
Answer:
3/2 or 1.5
Step-by-step explanation:
the answer would be 3/2 because the number of classmates divided by the number of granola bars equals how much each classmate would get in all.
You bought some stock, and then the stock price went down by 17.2% from the purchase price. By what percentage would the price have to increase for the investment to be back to the original value?
Answers
Step-by-step explanation:
Let's pick some easy numbers for illustration.
Let x equal our initial stock purchase, and, say it was $100.
x = $100
The problem says it's value dropped by 17.2%. If x = 100 is 100% of our stock value the 17.2% less is
[tex]x - 0.172x = 0.828x[/tex]
So now our stock is worth 0.828(100) = $82.80.
Now how much of an increase do we need to get back to $100.
[tex]100 - 82.80 = 17.20[/tex]
So our base is $82.80 because our stock price dropped, we want to know what percent increase is $17.20 of $82.80
[tex]17.20 \div 82.80 = 0.2077[/tex]
Or 20.77% increase to get back to original price.
To make this generic, since $100 is not supplied information, substitute x for 100 and 0.828x for the amount of money dropped.
x = original stock value
[tex]x - 0.828x [/tex]
Is the amount of value lost, and to be regained in the second part of the question.
To find out what portion the decrease is of the new value
[tex] \frac{(x - 0.828x)}{0.828x} = \frac{0.172x}{0.828x} = 0.2077 [/tex]
Or 20.77%
Write 0.0065 in standard form.
Answers
Answer:
It is just 65.
Step-by-step explanation:
Slope is
1
2
y-intercept is 7
Asapppp. Hurrryyyy
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Answer:
draw a graph and mark the point as (0,7) on the y-axis upper half since its positive.
from there the slope is rise 1 and run 2. meaning from point 7, you go up one, and slide two to the right and mark the next point and keep doing so till you have 3-5 points
Order these fractions from least to greatest.
3/8, 2/8 , 4/8
Answers
2/8 < 3/8 < 4/8
a car has a mass of 1,200 kg. what is it's acceleration when the engine exerts a force of 600 N ? (formula: F= ma)
Answers
Answer:
In this case, the mass of the car and the force exerted on it are provided as information. Therefore, the acceleration of the car is 0.5 m s−2 when its engine exerts a force of 600 N
Step-by-step explanation:
M=1,200kg
600N=(1,200kg)(acceleration)
Acceleration=0.5 m/s^2
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
Answers
10
12
15
18
Are my choices
Answers
Answer:
y=10 x=30
Step-by-step explanation:
3x=90
x=30
2(30)+3y=90
60+3y=90
3y=30
y=10
Answer:
y= 10
Step-by-step explanation:
we have to find x first
∠ABD= 90° because its a right angle
3x°=90°
divide by on both sides
x= 30°
∠CBD must equal 90° degrees as well because a line is 180°
60+3y= 90
-60
3y=30
/3
y= 10
what is the value of x in the solution set of -5x-15>10+20x
Answers
Answer:
The answer is x < -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hoped this helped!
brainly, please?
Answer:
–1 is the answer
Step-by-step explanation:
A fair charges an admission fee of 3 dollars for each person. Let c be the cost of admission in dollars for p people wrote an equation relating c to p graph your answer
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Answer:
c = 3p
graph is in the image attached
Step-by-step explanation:
Please help me i am taking a test and i really need help
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Answer:
31.4159in
Step-by-step explanation:
Answer:
31.4
Step-by-step explanation:
The weight of any cat in the local animal shelter is no more than 16 pounds. Let w be the weight in pounds of a cat in the shelter. Write inequality that means weight of no more than pounds .
Answers
Answer:
16 >_ w ( a line under >)
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. The inequality that means the weight of a cat is no more than 16 pounds is 16>w.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given that the weight of any cat in the local animal shelter is no more than 16 pounds. Now, w be the weight in pounds of a cat in the shelter. Therefore, the inequality that means the weight of a cat is no more than 16 pounds is 16>w.
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A statistics student wants to determine if there is a relationship between a student's number of absences, x, and
their grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students
15
1
0
6
9
12
3
3
1
2
7
0
4
Number of
Absences
GPA
2.1
4.3 4.5
3.2
4.0
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3.8
2.9
3.6
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Using technology, what is the equation for the least-squares regression line?
O ý= 3.79 -0.10x
O ý= 0.10 + 3.79x
O ý= 16.15 – 3.28x
O ý= -3.28 + 16 15x
Answers
Answer: A. ÿ=3.79-0.10x
Step-by-step explanation:I’m a genius
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Answers
Answer:
0.5 + 0.06 + 0.004 in expanded form.
Step-by-step explanation:
I need help with this
Answers
Hopefully it’s right
A line segment with endpoints A(-2, 1) and B (2, 1) is dilated with a dilation centered at the origin and a scale factor of
to create A'B'. Which of the following statements regarding AB is not true? (1 point)
The coordinates of A' will be (-5, 2.5).
O AB will be parallel to A' B'
O ABAB"
A' B' is an enlargement of AB
Answers
Answer:
Step-by-step explanation:
I will assume that the scale factor is 2.5
A'(-5,2.5) True
AB || A'B' True
?? What does ABAB" mean?
A'B' is an enlargement of AB True
circumference of a circle is 110cm.If the diameter of this circle is used to make one side of a square, what is the perimeter of the square?
Answers
Answer:
120
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
if the circumference is 110, the diameter is ~35, and 35*4=140
A restaurant uses 8 pounds of potatoes to make 15 servings of hash browns. At this rate, how many servings of hash browns could be made if they had 72 pounds of potatoes?
Answers
Answer:
135
8*9=72
15*9=135
Answer:
135
Step-by-step explanation:
Does anyone know this?
Answers
Answer:
9.4 m/s
Step-by-step explanation:
This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:
c^2=a^2+b^2
c^2=8^2+5^2
c^2=64+25
c^2=89
c=sqrt89
c=9.4 m/s
Write a mathematical sentence that expresses the information given below.
Use was your variable name. If necessary:
type < = to means
or > = to mean .
A business employs 150 workers at the start of the year, but then some
employees quit or are fired. After that, the business had 142 employees.
Answers
no idea if this is what you're looking for but if it is then here's the answer:
Part 1) The mean is 151
Part 2) The mean absolute deviation is 9.1
Step-by-step explanation:
step 1
Find the mean
Sum all the values and divide by the number of values
step 2
Determine the absolute value of subtract the mean from each value
step 3
Find the mean of those distances
----> this number is called the mean absolute deviation (MAD)V
Answer: its 100-e=42
Step-by-step explanation: i just answered it
It is 6.417.5 km from Indianapolis to London, England. The Flash can make this trip in 1
hour and 35 minutes. How fast is this in miles per hour?
Answers
Answer:
[tex]Speed = 2519.58 mph[/tex]
Step-by-step explanation:
Given
[tex]Distance = 6417.5km[/tex]
[tex]Time = 1\ hr: 35\ mins[/tex]
Required
Calculate the speed in miles per hour
Convert distance to miles
[tex]Distance = 6417.5km[/tex]
[tex]Distance = \frac{6417.5km}{1.609}\ miles[/tex]
[tex]Distance = 3988.50217526\ miles[/tex]
[tex]Time = 1\ hr: 35\ mins[/tex]
Divide minutes by 60
[tex]Time = 1\ hr + 35/60[/tex]
[tex]Time = 1\ hr + 0.583\ hr[/tex]
[tex]Time = 1.583hr[/tex]
The speed is:
[tex]Speed = Distance/Time[/tex]
[tex]Speed = 3988.50217526/1.583 mph[/tex]
[tex]Speed = 2519.58 mph[/tex]
Halla el MCM de 63 y 77
Answers
Respuesta:
693
Explicación:
Tenemos que dividir ambos dígitos hasta que lleguen a 1.
No importa si uno de los números no se puede dividir, pero se debe iniciar desde los números más bajos: 2, 3, 4, 5, 7...
Cómo no hay una mitad exacta, empezaremos con tercia y continuaremos dividiendo.
63 ; 77 | 3
21 ; 77 | 3
7 : 77 | 7
1 ; 11 | 11
1 ; 1
Ahora que llegamos hasta 1, el MCM es la multiplicación de los números por los que hemos dividido a los dígitos. Solo falta multiplicarlos.
3*3*7*11= 693
MCM = 693
Espero te ayude ;)
【Answer.】the lowest common multiple of 77 and 63 is 693.
[tex]\orange{{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt} }[/tex]
To obtain the lcm (least common multiple) we must do it by simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{63 \ \ \ 77}\\ 21 \ \ \ 77\\ \ \ 7 \ \ \ 77\\ \ 1 \ \ \ 11\\ \ 1 \ \ \ 1 \end{matrix}\right|\begin{matrix} 3\\ 3\\ 7\\ 11\\ \: \end{matrix} \end{gathered}$}[/tex]
[tex]\sf{m.c.m.(63,77)=3\times3\times7\times11}[/tex]
[tex]\sf{m.c.m.(63,77)=3^{2} \times7\times11}[/tex]
[tex]\boxed{\boxed{\sf{m.c.m.(63,77)=693}}}[/tex]
Four- fifths of the 7th-grade students completed a race. What percent of the 7th-grade students completed the race.
Answers
Answer:
4/5????
Was it supposed to tell you the answer
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
4 divided by 5 is .8
Then multiply it by 10
.8 x 10 = 80
I need help with this
look at picture
Complementary angles
Answers
============================================================
Explanation:
The square marker indicates a 90 degree, or right angle.
The two smaller angles (3x and 75) both combine to the larger 90 degree angle. That's what it means when they say we have complementary angles.
Add up the smaller angles, set the sum equal to 90, and solve for x.
3x+75 = 90
3x+75-75 = 90-75 ....... subtracting 75 from both sides
3x = 15
3x/3 = 15/3 ..... divide both sides by 3
x = 5
---------------
If x = 5, then 3x = 3*5 = 15
Then we can see that 15+75 = 90 to help check our answer.
ILL GIVE BRAINLEST !!!!
Enter an equation for the function that includes the points. Give your answer in the form a(b*). In the
event that a = 1, give your answer in the form b*.
(1, 12) and (2, 144)
The equation is f(x)=
Answers
can someone please help me with this problem? real answers only!
Answers
Answer:
sir plese tell the full question
Answer:
y = 5 + 3x
3x = y - 5
x = y - 5 / 3
Step-by-step explanation:
y = 5 + 3x
3x = y - 5
x = y - 5 / 3
HELP MIDDLE SCHOOL QUESTION
A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. DO NOT ROUND.
Answers
Answer:
0.00375
Step-by-step explanation:
Divide 1.875 by 500. This divides the total thickness into 500 groups, or 500 papers. The answer is unrounded
Answer:
points
Step-by-step explanation:
Can someone please write the equation for this?
Answers
Answer:
y = 2[tex]\sqrt{x}[/tex] - 3
Step-by-step explanation:
1. Write an ordered pair to represent point G.
Answers
Answer:
n ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Step-by-step explanation:
Answer:
Ya'll should stop forgetting about the pics
Last year, Tim rode his bike a total of 50 3/8 miles. This year, he rode his bike a total of 258 3/4 miles. Which of the following explains about how much farther Tim rode his bike this year than last year? A. About 200 times farther; Subtract last year's distance from this year's distance to get 208 3/8.
Then round to the nearest hundred to get 200.
B. About 50 times farther; Round each distance to the nearest whole number.
Then multiply last year's distance by 50 to see that 259 is close to 50 × 5.
C. About 10 times farther; 258 is about 5 times 50, and 34 is 2 times 38, so multiply 5 × 2 to get 10.
D. About 5 times farther; Round each distance to the nearest whole number.
Then multiply last year's distance by 5 to see that 259 is close to 50 × 5.
Answers
Answer:
D
Step-by-step explanation: