Dividing f(x) by 2x + 5 leaves the same remainder as division by x + 5/2. By the remainder theorem, it is equal to f (-5/2), so the remainder here is
f (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2
Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?
The rate of return that the university must realize in order to award the annual scholarship forever is _____%.
Answer:
5.73%
Step-by-step explanation:
Calculation for the rate of return that the university must realize
Using this formula
Rate of return = Initial payment/(Plan to donate- Initial payment)
Let plug in the formula
Rate of return=$13,000/($240,000-$13,000)
Rate of return=$13,000/$227,000
Rate of return=0.0573*100
Rate of return =5.73%
Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.
3 ÷ 6/7 i really need help! i will give you brainliest pls HELP
Answer:
7/2
Step-by-step explanation:
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3.5
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List 5 significant advances in architecture Eastern Indians made
Answer:
Primarily, the Indian temple architecture has been classified into three broad types, namely; Nagara or the northern style, Vesara or mixed style, and the Dravida which is the southern style. All these styles carry their unique regional influences and lineages.
Step-by-step explanation:
Solve the system of equations: y=x^2, y=x+6
A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)
Analyzing a System
Solve the system of inequalities.
x² - gpg
v> 2
Which describe the solution set of the given system?
Check all that apply
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary
curves
The boundaries of the overlapping region are in the
solution set.
The boundary curves intersect at approximately
(-3,0).
Answer:
A, C, E
Step-by-step explanation:
took the assignment on edge
Answer:
a , c and e
Step-by-step explanation:
got it right on edg ^u^
Expand the following expression 3(4−5x)
Answer:
12-15x
Step-by-step explanation:
3 × 4=12
3 × -5x=-15x
12 - 15x
Can somebody please help me with this math problem
Answer:
According to the question 25% of the students wore jackets.
Thus 25% of 12 wore jackets
The number of students can be found easily by multipling 12 with 25//100
12*25/100
12*1/4
12/4
thus, 3 students
Therefore, option 3 is correct
A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor
Answer:
[tex]x^2+y^2=36100000[/tex]
Step-by-step explanation:
Here it is mentioned that the there are two concentric circles this means that they have the same center.
The center of the circles are the origin [tex](0,0)[/tex].
Radius of the outer circle is
[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]
Equation of a circle
[tex](x-a)^2+(y-a)^2=r^2[/tex]
where
[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]
[tex]r=\text{Radius of the circle}[/tex]
Here the equation will be
[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]
The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]
Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. Sandra notices that she only has 1012 10 1 2 sheets left.
Answer:
Step-by-step explanation:
CACA POOP
Answer:
464
Step-by-step explanation:
hwe
Help guys, please I needed this answer PLEASE!!!
The sum of two squares of two consecutive numbers is 145. What are those two numbers?
Answer:
8 and 9
Step-by-step explanation:
Answer:
Think!
72 + 82 = 49 + 64 = 113
82 + 92 = 64 + 81 = 145
Step-by-step explanation:
Found the answer by simple experimentation.
hope this helps
The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored
This question is incomplete
Complete Question
The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?
Answer:
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Step-by-step explanation:
Let the number of points scored by the lion = l
The number of points scored by the tiger = t
The Lions scored three more than three times the number of points the Tigers scored.
l = 3 + 3(t)
The total number of points scored by both teams is 31.
= l + t = 31
3 + 3t + t = 31
4t = 31 - 3
4t = 28
t = 28/4
t = 7 points
Note:
l + t = 31
I = 31 - t
l = 31 - 7
l = 24 points
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answer:
The probability of Steve agreeing with the company’s claim is 0.50502.
Step-by-step explanation:
Let X denote the number of green candies.
The probability of green candies is, p = 0.20.
Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.
So, n = 30 candies are randomly selected.
All the candies are independent of each other.
The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.
It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.
Compute the probability of 5, 6 and 7 green candies as follows:
[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]
Then the probability of Steve agreeing with the company’s claim is:
P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)
= 0.17228 + 0.17946 + 0.15328
= 0.50502
Thus, the probability of Steve agreeing with the company’s claim is 0.50502.
Hey guys I need help. Care to be kind? :(
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.
[tex]\huge\boxed{125.}[/tex]
[tex]\boxed{-------------------------------------}[/tex]
Explanation...
So, 25 legislators represents 500,000 people.
We are trying to find how much legislators you need to represent 2,500,000.
500,000*5=2,500,000.
25*5=125.
Therefore, your answer is 125.
[tex]\boxed{-------------------------------------}[/tex]
Hope i helped!
[tex]\huge\boxed{Thanks,Plip.}[/tex]
Answer: 125
In Kennington, 25 legislators represent 500,000 people.
Find how many times 500,000 go into 2,500,000 people.
2,500,000 ÷ 500,000 = 5
Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.
25 x 5 = 125.
Answer = 125.
Hope this helps you!
Rewrite 8^-12 isIng a positive exponent
Answer:
8^12??
Step-by-step explanation:
what is islng
Answer:
1/[tex]8^{12}[/tex]
Step-by-step explanation:
Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]
1/[tex]8^{12}[/tex]
Solution
1/[tex]8^{12}[/tex]
Alternate form
≈ 1.45519 x [tex]10^{-11}[/tex]
The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%
Answer:
1/5
Step-by-step explanation:
We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.
We know that, percent means we need to divide the value by 100 i.e.
[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]
So, the required fraction is 1/5.
Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?
Is the product of 0.4 * 1.8 greater then or less then 0.4
Answer:
Greater
Step-by-step explanation:
.4*1.8 is .72
.72 is greater than .4
What is the perimeter of the composite figure? Round to the nearest tenth
Answer:
123.8 units
Step-by-step explanation:
The vertices of the polygon has been labelled ABCDEF, as shown in the diagram attached below.
Perimeter of the Polygon = [tex] \overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA} [/tex]
[tex] \overline{AB} [/tex] = |-12 - 24| = |-36| = 36 units
[tex] \overline{BC} [/tex]: calculate the distance between B(24, 16) and C(15, 3) using the distance formula.
[tex] \overline{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] \overline{BC} = \sqrt{(24 - 15)^2 + (16 - 3)^2} [/tex]
[tex] \overline{BC} = \sqrt{(9)^2 + (13)^2} [/tex]
[tex] \overline{BC} = \sqrt{81 + 169} = \sqrt{250} [/tex]
[tex] \overline{BC} = 15.8 units [/tex]
[tex] \overline{CD} [/tex] = |6 - 15| = |-9| = 9 units
[tex] \overline{DE} [/tex] = |3 -(-12)| = |-15| = 15 units
[tex] \overline{EF} [/tex] = |-12 - 6| = |-18| = 18 units
[tex] \overline{FA} [/tex] = |18 -(-12)| = 30 units
Perimeter = 36 + 15.8 + 9 + 15 + 18 + 30 = 123.8 units
Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.
Answer:
El nieto de 14 años de edad recibirá la mayor cantidad.
Step-by-step explanation:
En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.
Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.
What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4
What is the slope of a line parallel to a line whose slope is 5/2?
Answer:
5/2
Step-by-step explanation:
Parallel lines have the same slopes
Answer:
Step-by-step explanation:
because the new line is parallel, it will have the same slope as the original equation.
slope
=
−
3
we know the slope and a point, so we can use the point slope formula:
y
−
y
1
=
m
(
x
−
x
1
)
y
1
is the y coodinate,
x
1
is the x coordinate,
and m is the slope
plug the values in
y
+
2
=
−
3
(
x
+
5
)
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
Answer: $15,660 & 32 v.c
Step-by-step explanation:
Susan has two pieces of ribbon, one 18 inches long and the other 12 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them? PLEASE HURRY IM TAKING A TIMED TEST!!
Answer:
I'm pretty sure its 12 inches
Step-by-step explanation:
Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0
Answer:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
Step-by-step explanation:
We can determine the characteristic equation all we have to do is:
let y' = m, hence y" = m², y'" = m³
Therefore, the higher-order differential equation becomes:
m³ + 3m² + 3m + 1 = 0
(m + 1)(m² + 2m + 1) = 0
(m + 1)(m + 1)(m + 1) = 0
(m + 1)³ = 0
m = -1, -1, -1
Therefore the general solution is given as:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
[tex]c_1,c_2,c_3\ are\ constants.[/tex]
Which statement best describes the graph of 2c - 5y=-25 and the graph of y= +5?
Answer:
To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.
2x - 5y = -25
(-5y = -25x - 2x)-1
5y = 25/5 +2x/5
y = (2/5)x + 5
Thus, the slope is 2/5 and the y-intercept is 5.
y=52x + 5
The slope is 52 and the y-intercept is 5.
Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).
Step-by-step explanation:
PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.
Part A: Show your work to complete the square of the function. (1 point)
Part B: Identify the vertex of the function. (1 point)
Part C: Explain how to determine the maximum or minimum value of the function. (2 points)
Answer:
5x2=10+10=20+12= 32.
Step-by-step explanation
The correct answer is 32.
Hope I helped.
Please help.. I’m stuck on this question
Answer: The answer is 1
Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.