Multiple Choice Question The first cash flow at the end of Week 1 is $100, the second cash flow at the end of Month 2 is $100, and the third cash flow at the end of Year 3 is $100. This cash flow pattern is a(n) ______ type of cash flow.
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Related Questions
The graph shows how many meters above a stream, y, that a bucket on a water wheel is rotating for a given number of seconds x.
How many degrees is the bucket rotating in 10 s?
Answers
After 10 s, the bucket has rotated [tex]180^{\circ}[/tex]
Step-by-step explanation:
The motion of the bucket on the water wheel is a periodic motion, which means that it repeats itself periodically. The period of the motion is the time it takes for the bucket to returns to its original position: it can be found from the graph by looking at after how much time the graph has again the same shape.
We see that if we start from x = 0 seconds, then the graph has the same shape again (=it has completed one full cycle) at x = 20 seconds, so the period is
T = 20 s
This also means that in a time of 20 seconds, the bucket has covered a full revolution, so an angle of
[tex]\theta=360^{\circ}[/tex]
Therefore, in order to find how many degrees x the bucket has rotated in
t = 10 s
We can use the rule of three:
[tex]\frac{\theta}{T}=\frac{x}{t}[/tex]
And solving for x, we find
[tex]x=\frac{\theta t}{T}=\frac{(360)(10)}{20}=180^{\circ}[/tex]
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what is -5x -10= -20
a.2
b.3
c.7
d.6
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[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-5x -10= -20}\\\\\large\text{ADD 10 to BOTH SIDES}\\\mathsf{-5x - 10 + 10 = -20 + 10}\\\\\large\text{SIMPLIFY IT!}\\\mathsf{-5x = -20 + 10}\\\mathsf{-5x = -10}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\mathsf{\dfrac{-5x}{-5}= \dfrac{-10}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\mathsf{x = \dfrac{-10}{-5}}\\\\\mathsf{x = 2}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{Option \ A. \ 2}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
Option a ( 2 ) is the answerStep-by-step explanation:
In this question we are given with an equation that is -5x - 10 = -20 . And we are asked to find it's solution ( value of x ).
Solution : -
[tex] \longmapsto \qquad \: - 5x - 10 = - 20[/tex]
Step 1 : Adding 10 to both sides :
[tex] \longmapsto \qquad \: - 5x - \cancel{10 }+ \cancel{10} = - \bold{20 }+ \bold{10}[/tex]
On further calculations , We get :
[tex] \longmapsto \qquad \: - 5x = - 10[/tex]
Step 2 : Dividing with -5 on both sides :
[tex] \longmapsto \qquad \: \dfrac{ \cancel{- 5}x}{ \cancel{- 5}} = \cancel{ \dfrac{ - 10}{ - 5} }[/tex]
On further calculations , we get :
[tex] \longmapsto \qquad \: \ \: \pink{\underline{ \boxed{\frak{x = 2}}}}[/tex]
Henceforth , value of x is 2 that means option a is correct .Verifying : -
Now we're verifying our answer by substituting value of x in given equation. So ,
-5x - 10 = -20-5 ( 2 ) - 10 = -20-10 - 10 = -20-20 = -20L.H.S = R.H.SHence , Verified .Therefore , our answer is correct .
#Keep LearningA windshield wiper blade turns through an angle of 135°. The bottom of the blade traces an arc with a 8-inch radius. The top of the blade traces an arc with a 24-inch radius. To the nearest inch, how much longer is the top arc than the bottom arc? Round to the nearest whole number.
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Answer:142
2
+2
Step-by-step explanation:
Does the graph represent a function ? Why or Why Not
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This does NOT represent a function.
There should only be one pair per input and output, but this graph has multiple.
in massaschusetts a team of scientists studying great white sharks estimate that a population of 15000 seals support fewer than 100 sharks. why are there so few top level consumers in this system?
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Answer:
The higher you go in the good chain the lower the population.
Explanation:
In the food web, there are only a few sharks since in the food chain they are higher. Just 10% energy is retained in the tissues once the energy is moved from one trophic level to another, and the leftover power is emitted as metabolic energy.
If an animal is high up the energy ladder, the individual has less resources; thus, a few of the highest predators are present in an ecosystem.
Answer:
because there are more sharks than seals in the area
Step-by-step explanation:
Write a polynomial expression that represents the area of the trapezoid. (A=1/2h(b1+b2))
Answers
Answer:
[tex]A = 5 {x}^{2} + 6x + 1[/tex]
Step-by-step explanation:
[tex]A = \frac{(a + b)h}{2} = \frac{(6x - 5 + 4x + 7)(x + 1)}{2} = \frac{(10x + 2)(x + 1)}{2} = \frac{2(5x + 1)(x + 1)}{2} = 5 {x}^{2} + 6x + 1[/tex]
The latest online craze is a new game, Khan on Seven. You get 100100100 points for playing the game. In addition, you get 505050 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs 18{,}00018,00018, comma, 000 or more points to do so. Write an inequality to determine the number of seven-letter words, www, Sal could make to break the record.
Answers
Answer:
[tex]50w+100 \ge 18000[/tex]
Step-by-step explanation:
Each seven-letter word is worth 50 points. [tex]w[/tex] words are then worth [tex]w\times50=50w[/tex].
Since Sal gets 100 points for playing the game, his points total after [tex]w[/tex] words is [tex]50w +100[/tex]. If he wants to break the record, he must get, at least, 18000 points. "At least" in inequality means [tex]\ge[/tex] (just as "at most" means [tex]\le[/tex]). Then the required inequality is
[tex]50w+100 \ge 18000[/tex].
Note that the question says "18000 or more", which is why we used the [tex]\ge[/tex] symbol. If the phrase had been "more than 18000", we would have used [tex]>[/tex].
If the eyepiece of a compound microscope has a magnification power of 10X and the objective lense has a magnification power of 4X, what is the total magnification of the microscope at this setting?
Answers
Answer:
Total magnification of microscope at this setting is 40X
Step-by-step explanation:
Total magnification of microscope is determined by multiplying the magnification power of individual lenses.
So if eyepiece has magnification power of 10X and objective lense has magnification power of 4X , the total magnification of microscope would be
10 × 4 = 40
which means the object will appear 40 times larger than actual object.
The total magnification of the microscope at this setting is 40X.
To determine the total magnification of a compound microscope, one needs to multiply the magnification power of the eyepiece by the magnification power of the objective lens. In this case, the eyepiece has a magnification power of 10X and the objective lens has a magnification power of 4X.
The formula for the total magnification [tex]\( M_{total} \)[/tex] is given by:
[tex]\[ M_{total} = M_{eyepiece} \times M_{objective} \][/tex]
Substituting the given values:
[tex]\[ M_{total} = 10X \times 4X \][/tex]
[tex]\[ M_{total} = 40X \][/tex]
Therefore, the total magnification of the microscope when using the 10X eyepiece and the 4X objective lens is 40X. This means that the image seen through the microscope will appear 40 times larger than its actual size.
A baker has 15 cups of flour. He sets aside 4 cups, and uses the rest for a cookie recipe that calls for 1/2 cup of flour. How many batches of cookies can the baker make?
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Answer:
So, 22 batches of cookies can the baker make.
Step-by-step explanation:
A baker has 15 cups of flour.
He sets aside 4 cups.
So, the remaining cups = 15 - 4 = 11
A cookie recipe that calls for 1/2 cup of flour.
So, x batches of cookies can the baker make with 11 cups
Use the ratio and proportional
1 : 1/2 = x : 11 ⇒ multiply both sides by 2
2 : 1 = 2x : 22
solve for x
2x = 2 * 22
x = 22
So, 22 batches of cookies can the baker make.
She can make 22 batches of cookies.
Given that there are 15 cups of flour. The baker sets aside 4 cups.
So remaining (15 - 4) = 11 cups.
Let she can make x batches.
Given each batch takes 1/2 cup.
That means she will need [tex]x\cdot\frac{1}{2}=\frac{x}{2}[/tex] cups.
According to the question:
[tex]\frac{x}{2}=11\\x=22[/tex]
So she can make 22 batches of cookies.
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Joe traveled against the wind in a small plane for 3hours. The return trip with the wind took 2.8 hours. Find the speed of the wind to the nearest tenth if the speed of the plane in still air is 180 mph.
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Answer: the rate of the wind is 6.2 mph
Step-by-step explanation:
Let x represent the rate of the wind.
Joe traveled against the wind in a small plane for 3hours. If the speed of the plane in still air is 180 mph, then the total speed with which the plane flew is
(180 - x) mph
Distance = speed × time
Therefore, distance travelled against the wind is
3(180 - x)
= 540 - 3x - - - - - - - - - - - - - -1
The return trip with the wind took 2.8 hours.
the total speed with which the plane flew is
(180 + x) mph
Therefore, distance travelled with the wind is
2.8(180 + x)
= 504 + 2.8x - - - - - - - - - - - - - -2
Since the distance is the same, then
540 - 3x = 504 + 2.8x
540 - 504 = 2.8x + 3x
5.8x = 36
x = 36/5.8 = 6.2
Please help!! I don't know what to do :(
Find the value of x. Show all your work for full credit.
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Yo sup??
This question can be solved by applying the properties of similar triangles
the triangle with sides 5x and 20 is similar to the triangle with sides 45 and 36
therefore we can say
5x/45=20/36
x=5 units
Hope this helps
I'm need help a question and I'm confuse.
Answers
Answer:
Step-by-step explanation:
Since angle ABD is 133 degrees and the sum of the angles in a triangle is 180 degrees, it means that
m∠ DAB + 133 + 22 = 180
m∠ DAB = 180 - 155 = 25 degrees
Also, ∆ ADC is an isosceles triangle because two of its sides are equal. It also means that the base angles are equal. Thus,
m∠ A = m∠ B
Therefore,
m∠ A + m∠ B + angle D = 180
m∠ A + m∠ B = 180 - 22 × 2
m∠ A + m∠ B = 180 - 44 = 136
m∠ A = m∠ B = 136/2 = 68 degrees
m∠ CAB + m∠ DAB = m∠ A
Therefore,
m∠ CAB = 68 - 25 = 43 degrees
Since ∆ ABC is isosceles, then
m∠ CAB = m∠ ACB
m∠ ACB = 43 degrees
m∠ ABC = 180 - (43 × 2) = 180 - 86
m∠ ABC = 94 degrees
m∠ BCD = 68 - m∠ ACB
m∠ BCD = 68 - 43 = 25 degrees
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided. If 20 percent want an ice cream party, how many students are in the class?a. 23
b. 200
c. 5d. 25
Answers
Answer: d. 25
Step-by-step explanation:
Let x be the total number of students in the class.
As per given :
Number of students want ice cream party = 20% of x= 0.20x
[we divide percent by 100 to convert it into decimal.]
Actual number of students want ice cream party =5
⇒ 0.20x=5
Divide both sides by 0.20 , we get
⇒ x= [tex]\dfrac{5}{0.20}=\dfrac{500}{20}=25[/tex]
Hence, the total number of students in the class.= 25
Thus , the correct answer is d. 25
Jake shows that △ △ C B A is congruent to △ △ A D C by rotating △ 180° △ C B A 180 ° around point C so it matches up with △ △ A D C exactly. Which conclusion can be drawn from Jake's transformations?
Answers
Answer:
Reflection about either the x- axis or y- axis.
Step-by-step explanation:
It is likely that the triangle shows a mirror image when it has been rotated at point C so that it matches ΔADC.
The triangles are congruent if the sides and angles are equal. The only way to effect the change is through a rotation.
In fact, two objects are said to be congruent if they can be transformed into another shape by translation, rotation, and reflection.
The resulting image is a distinct figure that can fit and match the other completely.
In this case, the triangle is rotated through 180⁰ so the resulting image is a reflection or mirror image.
Answer:
If two pairs of angles and the included side are congruent, the triangles are congruent.
Step-by-step explanation:
itsLearning
A large group of people is to be checked for two common symptoms of a certain disease. Itis thought that 20% of the people possess symptomAalone, 30% posseess symptomBalone,10% possess both symptoms, and the remainder have neither symptom. For one person chosen atrandom from this group, Ønd these probabilities:
a. (2 points) that the person has neither symptom
P(A\πB)=0:20
P(πA\B)=0:30
P(A\B)=0:10
P(πA\πB)=1°P(A[B)
P(πA\πB)=1°[P(A\πB)+P(πA\B)+P(A\B)]
=1°(0:20+0:30 + 0:10)
=1°0:60
=0:40
b. (2 points) that the person has at least one symptom
P(A[B)=P(A\πB)+P(πA\B)+P(A\B)
=0:20 + 0:30+10
=0:60
or
P(A[B)=1°P(πA\πB)
=1°0:40
=0:60
c. (2 points) that the person has both symptoms, given that he has symptom
BP(AjB)=P(A\B)/P(B)
=P(A\B)P(A\B)+P(πA\B)
=0:100:10+0:30
=0:100:40
=0:25
Answers
Answer:
(a) and (b) are correct but (c) is not correct
Step-by-step explanation: (c) P(nA)*P(nB) + P(nA/nB)
0.20*0.30 + 0.10 = 0.060 + 0.10 = 0.160
Find the least common denominator please
Answers
Answer:
(n -4)(n +1)^2 = n^3 -2n^2 -7n -4
Step-by-step explanation:
The least common denominator is the smallest denominator that lets you write the sum as a single fraction.
[tex]\dfrac{n^5}{n^2+2n+1}+\dfrac{-4}{n^2-3n-4}=\dfrac{n^5}{(n+1)^2}+\dfrac{-4}{(n+1)(n-4)}\\\\=\dfrac{n^5}{(n+1)^2}\cdot\dfrac{n-4}{n-4}+\dfrac{-4}{(n+1)(n-4)}\cdot\dfrac{n+1}{n+1}=\dfrac{n^5(n-4)-4(n+1)}{(n+1)^2(n-4)}\\\\=\dfrac{n^6-4n^5-4n-4}{n^3-2n^2-7n-4}[/tex]
The least common denominator is ...
(n-4)(n+1)^2 = n^3 -2n^2 -7n -4
I WILL GIVE BRAINLIEST! 30 POINTS!
Koji is installing a rectangular window in an office building. The window is 823 feet wide and 534 feet high.
The formula for the area of a rectangle is A=bh.
What is the area of the window?
Enter your answer as a mixed number in simplest form in the box.
$$
ft2 ( ? ) ( ? )
-------
( ? )
Answers
Answer:
Area = 823 * 534 = 439,482 ft^2
Step-by-step explanation:
A survey conducted by Black Flag asked whether the action of a certain type of roach disk would be effective in killing roaches. Seventy-nine percent of the respondents agreed that the roach disk would be effective. The number 79% is a(n) ________.a. population. b. statistic. c. parameter. d. sample.
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Do you expect δhsoln to be a large positive number, a large negative number, or close to zero? do you expect to be a large positive number, a large negative number, or close to zero? δhsoln is a large positive number. δhsoln is a large negative number. δhsoln is close to zero.
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Answer:
δhsoln will be close to zero.
Step-by-step explanation:
In calculus, the symbol d represents a large or significant increment in a value. For example, say the change in the volume of a liquid in a tank depends upon the change of the height h.
The above statement can be written like this:
dV/dh
This means that the volume of the tank (V) depends with a significant change in the height of the liquid (h).
It is also possible to compute small changes in physical quantities. The symbol δ simply presents a small increment or small change. Using the same expression above, if a very large tank was to have a very very small leak, the change would be: δV/δh
In other words, the change in the volume will be almost negligible and will be close to zero.
WHAT IS (13X6)+89 WITH HE SECOND POWER? PLEASE HELP WILL MAKE BRAINLIEST
Answers
(13x6)+89 with the power of 2 is 7999
How high is a tree that casts a 2222-ftft shadow at the same time a 44-ftft postpost casts a shadow which is 77-ftft long?
Answers
Answer: The height of the tree is 12.57 ft.
Step-by-step explanation:
The height of a thing is proportional to the its shadow.
Let H = Height and S = length of shadow
Then by equation direct proportion , [tex]\dfrac{H_1}{S_1}=\dfrac{H_2}{S_2}[/tex] (i)
Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft long.
Put [tex]S_1=22 ,\ H_2= 4,\ \ S_2=7[/tex] in (i), we get
[tex]\dfrac{H_1}{22}=\dfrac{4}{7}\\\\ H_1=\dfrac{4}{7}\times22\approx12.57[/tex]
Hence, the height of the tree is 12.57 ft.
What the user said above!
Consider the matrices A = 2 1 2 2 2 −2 3 1 1 and x = x1 x2 x3
(a) Show that the equation Ax = x can be rewritten as (A − I)x = 0 and use this result to solve Ax = x for x.
(b) Solve Ax = 4
Answers
Answer:
94
Step-by-step explanation:
Jen has
Mr. Davis buys 5 packages of the package a glue sticks. Ms. Wilson buys 8 package of the package b glue sticks. Use your equations to find the difference in the total number of glue sticks that each person purchased.
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To find the difference in the total number of glue sticks that Mr. Davis and Ms. Wilson purchased, subtract the number of glue sticks each person bought from one another.
Explanation:To find the difference in the total number of glue sticks that Mr. Davis and Ms. Wilson purchased, we can subtract the number of glue sticks each person bought from one another.
Mr. Davis bought 5 packages of glue sticks, and each package has a certain number of glue sticks in it.
Ms. Wilson bought 8 packages of glue sticks, and each package also has a certain number of glue sticks in it.
To find the difference, subtract the total number of glue sticks from Mr. Davis from the total number of glue sticks from Ms. Wilson.
For example, if each package of glue sticks contains 4 glue sticks, Mr. Davis purchased 5 x 4 = 20 glue sticks. Ms. Wilson purchased 8 x 4 = 32 glue sticks. The difference is 32 - 20 = 12 glue sticks.
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I need ASAP!!
Find CU. If necessary, round answers to 4 decimal places
Answers
Answer:
The correct answer for this equational ratio is x = 5
Step-by-step explanation:
In order to calculate for x, we must create the necessary ratios
[tex]\frac{16}{20} = \frac{45-5x}{5x}[/tex]
Cross multiply to get
900 - 100x = 80x
900 = 180x
x = 5
The shark are fed three times a day during the morning feeding 2/15 of a ton. During the afternoon feeding the weight of fish fed will be 1/15 of a ton more than the fish fed during the morning if the total fish fed in a day is 1/2 of Aton how much is fed during the feeding in the night
Answers
Answer:
The shark are fed [tex]\frac16 \ ton[/tex] of fish during the night.
Step-by-step explanation:
Given:
Weight of fish fed in the morning = [tex]\frac{2}{15}\ ton[/tex]
Also Given:
During the afternoon feeding the weight of fish fed will be 1/15 of a ton more than the fish fed during the morning.
Weight of fish fed in the afternoon = [tex]\frac{2}{15}+\frac{1}{15}=\frac{2+1}{15}=\frac{3}{15}\ ton[/tex]
Total fish fed in whole day = [tex]\frac12 \ ton[/tex]
We need to find the Weight of fish fed in the night.
Solution:
Now we can say that;
Weight of fish fed in the night can be calculated by by subtracting Weight of fish fed in the morning and Weight of fish fed in the afternoon from Total fish fed in whole day .
framing in equation form we get;
Weight of fish fed in the night = [tex]\frac{1}{2}-\frac{2}{15}-\frac{3}{15}= \frac{1}{2}-(\frac{2}{15}+\frac{3}{15})=\frac{1}{2}-\frac{2+3}{15}= \frac{1}{2}-\frac{5}{15} = \frac{1}{2}-\frac{1}{3}[/tex]
Now we will use LCM for making the denominator common we get;
Weight of fish fed in the night = [tex]\frac{1\times3}{2\times3}-\frac{1\times2}{3\times2} = \frac{3}{6}-\frac{2}{6}[/tex]
Now denominator are common so we will solve the numerators.
Weight of fish fed in the night = [tex]\frac{3-2}{6}=\frac16 \ ton[/tex]
Hence The shark are fed [tex]\frac16 \ ton[/tex] of fish during the night.
A shipping conpany is loading cube shaped crates into larger cube shaped container. The smaller cubes have side lenghts of 2 1/2 feet. And the larger shipping container has side lengths of 10 feet. How many crates will it feet in the large shipping container
Answers
Answer:
64
Step-by-step explanation:
10 ft is 4 times 2 1/2 ft, so the larger container has dimensions of 4 crates in every direction. That is, it will hold 4^3 crates, or 64 crates.
25 Points.
The function f(x) = 4x + 3 represents the length of a rectangle. The function g(x) = 2x − 5 represents the width of the rectangle. Use (f • g)(4) to determine the area of the rectangle.
57
19
16
3
Answers
Answer:
57
Step-by-step explanation:
(f•g)(x) = f(x)•g(x)
= (4x+3)(2x-5)
= 8x²-20x+6x-15
= 8x²-14x-15
(f•g)(4) = [4(4)+3] [2(4)-5]
= (16+3)(8-5)
= 19 • 3
= 57
Answer:
57
Step-by-step explanation:
got it correct on test. :)
For which function does f(14)=23?
A. (x)=12x−20
B. f(x)=14x+23
C. f(x)=3x−7
D. f(x)=x+9
Answers
Final answer:
By substituting x with 14 in each option, it is determined that option D, which is f(x) = x + 9, is the correct function where f(14) equals 23.
Explanation:
The student is asking to find the function for which f(14)=23. To answer this, we substitute x with 14 in each of the given options and see which one results in f(x) being equal to 23.
Substitute x=14 in f(x)=12x−20: f(14)=12(14)−20=168−20=148, which is not 23.
Substitute x=14 in f(x)=14x+23: f(14)=14(14)+23=196+23=219, which is not 23.
Substitute x=14 in f(x)=3x−7: f(14)=3(14)−7=42−7=35, which is not 23.
Substitute x=14 in f(x)=x+9: f(14)=14+9=23, which is the correct answer.
The correct function is D. f(x)=x+9.
Maria and Katy each have a piece of string. When they put the two pieces of string together end to end, the total length is 84inches. Maria's string is 6 inches longer than Katy's. How long is Maria's piece of string? How long is Katy's piece of string
Answers
Answer: the length of Maria's piece of string is 45 inches.
the length of Katy's piece of string is 39 inches
Step-by-step explanation:
Let x represent the length of Maria's piece of string.
Let y represent the length of Katy's piece of string.
When they put the two pieces of string together end to end, the total length is 84inches. This means that
x + y = 84 - - - - - - - - - - - -1
Maria's string is 6 inches longer than Katy's. This means that
x = y + 6
Substituting x = y + 6 into equation 1, it becomes
y + 6 + y = 84
2y + 6 = 84
2y = 84 - 6 = 78
y = 78/2 = 39
x = y + 6 = 39 + 6
x = 45
WHAT IS 5/12 X - 1/2= 1/3
A. -1/72
B. 5/72
C. 2
D. 2/5
Answers
Answer:
C. 2
Step-by-step explanation:
Given:
[tex]\frac{5}{12}x-\frac12=\frac13[/tex]
We need to solve the equation to find the value of x.
Solution:
[tex]\frac{5}{12}x-\frac12=\frac13[/tex]
Combining like terms we get;
[tex]\frac{5}{12}x=\frac13+\frac12[/tex]
Now Using LCM for making the denominators same we get;
[tex]\frac{5}{12}x=\frac{1\times2}{3\times2}+\frac{1\times3}{2\times3}\\\\\frac{5}{12x}=\frac{2}{6}+\frac{3}{6}[/tex]
Now Denominators are common so we solve the number we get;
[tex]\frac{5}{12}x=\frac{2+3}{6}\\\\\frac{5}{12}x=\frac{5}{6}[/tex]
Now Dividing both side by [tex]\frac{12}{5}[/tex] we get;
[tex]\frac{5}{12}x\times \frac{12}{5}=\frac{5}{6}\times \frac{12}{5}\\\\x=2[/tex]
Hence the value of x is 2.