Answer:
Step-by-step explanation:
so the y axes is up and down and the x axes is left to right so point d and point e have the same y axes but they have opposite x axes so instead of negative four to the left its positive 4 to the right
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 %.
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
To multiply two numbers using scientific notation, you would ____ the exponents.
Answer:
add
Step-by-step explanation:
Answer:
Add
Step-by-step explanation:
To multiply numbers written in scientific notation, first multiply the coefficients and then add the exponents.
See if that helps.
(8,3) (5,6) what is slope??
Answer:
-1
Step-by-step explanation:
Mason made 3/4 of a pound of trail mix. If he puts 3/8 of a pound into each bag, how many bags can Mason fill?
A. half of a bag
B. 3 bags
C. 4 bags
D. 2 bags
Answer:
3/4^ 8/3= 24/12= 2 so d.2bags
Was this helpful?
∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 7 x − 8 ) ∘ ∠A=(7x−8) ∘ and m ∠ B = ( 6 x + 17 ) ∘ ∠B=(6x+17) ∘ , then find the value of x.
Answer:
it adds up to 180º so i think you have to do the varibles that are on the same side and see what you get and then do -8 +17 then you sub or add from 180 then you get your answer
Step-by-step explanation:
The value of x for the given vertical angles is given as 25.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The pair of vertical angles are given as below,
∠A = (7x - 8)° and ∠B = (6x + 17)°.
Since, pair of vertically opposite angles are equal.
It implies that ∠A = ∠B.
⇒ 7x - 8 = 6x + 17
⇒ 7x - 6x = 17 + 8
⇒ x = 25
Hence, the value of x can be obtained as 25.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
some please help with this!!
Answer:
h. x=11
i. x=4 1/6 (1/6 is a fraction)
k. x=-8
l. x= 3 1/2 (1/2 is a fractio)
Step-by-step explanation:
Find the slope plus extra pts
Answer:
The Slope is -4
m = -4
Step-by-step explanation:
Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))
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.
Algebra II
Find the product (multiply).
answer:
Answer:
3 m^3 - 26 m^2 + 45 m - 70
Step-by-step explanation:
Applying distributive property we get:
3 m^3 - 5 m^2 + 10 m - 21 m^2 + 35m - 70
combining like terms:
3 m^3 - 26 m^2 + 45 m - 70
Write an equation in slope-intercept form of the line that passes through (4, 6) and (9,2)
Answer:
m=0
b=-9
Step-by-step explanation:
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
9
−
(
−
9
)
2
−
(
−
4
)
The equation of the line is equal to y=-5x/4 +c
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The given line passes through (4,6) and (9,2)
We know the slope intercept form is given by
y=mx+c
putting (4,6) in the equation we get
6=4m+c
Again substituting (9,2) in the equation we get
2=9m+c
Thus solving this two equations we get the value of m=-5/4 and c=11
Hence, The equation of the line is equal to y=-5x/4 +c
Learn more about the slope intercept form here:
https://brainly.com/question/29146348
#SPJ2
Which is the quotient and remainder, written as partial fractions, of 2x^3-x^2+x+5/x^2+3x+2
it's C
Answer: thank yuu
Step-by-step explanation:
What is a single discount rate and how does it apply to chain discounts?
Answer:
Single discount rates are one off discounts which are given by seller on certain products with certain conditions which most be met for it to apply such conditions can be for buyers who pay in cash, buyers who buy in bulks e.g buy 10 get one free, or for every 5 bought you get a 5% discount e.t.c.
This is related to chain discount because its also a series of discount which is allowed for list price of products or services.
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
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:
quanto é (a+b) elevado a 3 --(b-c) elevado a 3???
Vamos escrever.
(a.b)³. b.(b.c)² =
a³.b³.b. b².c² =
a³b^6.c² ( forma simplificada)
What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4
Graph. f(x) = |2x+2| - 1
Answer:
I included the graph for you, hope this helps!
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 slope and y-intercept of the line
y = -4x-5
Answer:
The slope is -4
The y-int is -5
Step-by-step explanation:
The slope intercept form is structured as:
y= mx + b
Being m is the slope and b is the y-intercept.
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.
Determine whether a statement is True or False. If it is False, provide an explanation or give an example:
Complete Question:
Determine whether the statement is true or false. If it is false, provide an explanation or give an example.
If f is decreasing on [a,b] then the minimum value of f(x) on [a,b] is f(a)?
Answer:
False
Step-by-step explanation:
Given
[a,b]
Where f(x) is decreasing
Required
Is the minimum f(a)?
This statement is false and it is proved using the following illustration
Take f(x) to be
[tex]f(x) = -2x[/tex]
The above represents a decreasing function because:
f(x) decreases as x increases
Having said that:
Assume [a,b] is:
[tex][a,b] = [2,5][/tex]
Substitute the value of a i.e. 2 for x in f(x)
[tex]f(2) = -2 * 2[/tex]
[tex]f(2) = -4[/tex]
Substitute the value of b i.e. 5 for x in f(x)
[tex]f(5) = -2 * 5[/tex]
[tex]f(5) = -10[/tex]
Notice that f(b) < f(a) i.e. -10 is less than -4
Hence:
f(x) is minimum at f(b)
Conclusively, the statement is false
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:
The orange shape is a dilation of the black shape. What is the scale factor of the dilation?1/10 1/2 10 2
Answer:
Scale = ¼
Step-by-step explanation:
See attachment for complete question.
In the attached, we have.
Width = 4 units. ----- Orange
Width = 16 units ------- Black
Required
Determine the scale of dilation
The scale of dilation can be calculated as:
Scale = Width(orange)/Width (black)
Scale = 4/16
Scale = ¼
Hence, the scale of dilation is ¼
Un bombardeo pica, formando ángulo de 53o con la vertical, y abandona una bomba a una altura de 2400 pies. Se observa que el proyectil llega al suelo 5 segundos después de
4+(8/(8-7)+6-12)x10)
The answer is 24, hopes this helps!
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:
Paul is a married taxpayer and claims 2 withholding allowances. He earns $575 per week. He estimates that he will spend $50 each week in qualified expenses. If he participates in his employer's cafeteria plan and has the $50 per week deducted from his wages before taxes, how much will he save in one year of working in federal income and FICA taxes?
Answer:
i need help too
Step-by-step explanation:
...
which function has the same domain as y=2_/x?
Answer:
A. y = square root of 2x
We are given the function
y = 2 √x
We are asked for the function that has the same domain as the given function
First, the domain for the given function is this
{ x | x ≥ 0 }
So, any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x
In a basketball game, LeBron and Shaq combined to score 72 points. If LeBron scored three times as many points as Shaq, how many points did each player score?
Answer:
Lebron = 24
Shaq = 0
Step-by-step explanation:
x = LeBron
y = Shaq
3(24) + 0 = 72