Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 65 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take
Bobby. How long would it take Bobby to mow the lawn by himself?
It would take Bobby
(Round to the nearest minute.)
minutes to mow the lawn by himself.
Bobby around 131 minutes and Billy around 111 minutes
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
To solve the problem it is important to raise equations regarding what happens.
They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:
1 / Bo + 1 / Bi = 1/60 (1)
They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore
1 / Bi = 1 / (Bo-20) (2)
Replacing (2) in (1) we have:
1 / Bo + 1 / (Bo-20) = 1/60
Resolving
(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60
120 * Bo - 1200 = Bo ^ 2 - 20Bo
Rearranging:
Bo ^ 2 - 140Bo -1200 = 0
Now applying the general equation
Bo = 130.82 or Bo = 9.17, this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together, therefore Bobby only takes around 131 minutes and Billy around 111 minutes
Checking with equation 1:
1/131 +1/111 = 1/60
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HELP ME PLEASEEEEEEE STEP BY STEP
[tex]\cfrac{7-2y}{6} \underset{\textit{greater than}}{~~ > ~~ }\cfrac{3y-7}{12}\implies 12(7-2y) > 6(3y-7) \\\\\\ 84-24y > 18y-42\implies 84 > 42y-42\implies 42 > 42y \\\\\\ \cfrac{42}{42} > y\implies {\Large \begin{array}{llll} 1 > y \end{array}}[/tex]
now, notice, on the last line we divided by 42, however 42 is a positive value, thus we didn't flip the inequality sign, recall that when dividing or multiplying by a negative value, the inequality sign flips, in this case it didn't.
Debra and Sue went to a clearance
sale at a clothing store. All blouses were
selling for the same price and all skirts
were selling for the same price. Debra
bought 4 blouses and 3 skirts for a total
of $68. Sue bought 6 blouses and 3
skirts for a total of $84. What was the
cost of each blouse and each skirt?
Please show work and the bottom question
The each blouse costs $8 and each skirt costs $12.
How to solve equation?
To solve an equation is to identify its solutions, which are the values that satisfy the condition specified by the equation, which is typically two expressions linked by an equals sign. When trying to find a solution, one or more variables are labeled as unknowns.
Let the price of each blouse be x and the price of each skirt be y.
Debra's total cost: 4x + 3y = 68
Sue's total cost: 6x + 3y = 84
From the two equations above, we can solve for x and y:
6x + 3y = 84
4x - 3y = -68
2x = 16
x = 8
Substitute x = 8 back into the first equation:
4x + 3y = 68
4 * 8 + 3y = 68
32 + 3y = 68
3y = 36
y = 12
So, The each blouse costs $8 and each skirt costs $12.
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Work out the following sheet,please
NUMBER 25: the values of x and y are 53° and 78° respectively
NUMBER 26: the values of x and y are 55° and 125° respectively
How to find the values of x and y?Angle geometry is a branch of mathematics that deals with the study of angles and their properties in two-dimensional figures such as circles, triangles, and polygons.
NUMBER 25
x = 53° (alternate angles)
x + y + 49° = 180° (sum of angles in a triangle is 180°)
53 + y + 49 = 180
y + 102 = 180
y = 180 - 102
y = 78°
NUMBER 26
y = 125° (corresponding angles)
x + y = 180° (sum of angles on a straight line is 180° )
x + 125 = 180
x = 180 -125
x = 55°
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Please help !!!
Question 3
(Multiple Choice)
(05.04 MC)
Determine the solution to the inequality.
|4x - 4| ≥ 8
-
X < -1 or x ≥ 3
X < -2 or x ≥ 3
X < -3 or x 24
X < -4 or x 24
im not sure how to put lines underneath some of them so
< = less then or equal too.
The solution to the inequality is -1 ≥ x ≥ 3
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
|4x - 4| ≥ 8
Remove the absolute bracket
So, we have
-8 ≥ 4x - 4 ≥ 8
This gives
-4 ≥ 4x ≥ 12
Divide through by 5
-1 ≥ x ≥ 3
Hence, the solution is -1 ≥ x ≥ 3
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Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]6\sqrt{3}[/tex]
Step-by-step explanation:
because of the 90-60-30 theorem
which [tex]6*\sqrt{3}=6\sqrt{3}[/tex]
Suppose that a desktop computer system consists of a monitor, a mouse, a keyboard, the computer processor itself, and storage devices such as a disk drive. Most computer system problems due to manufacturing defects occur soon in the system’s lifetime. Purchasers of new computer systems are advised to turn their computers on as soon as they are purchased and then to let them run for a few hours to see if any problems crop up. Let
A=Event that a newly purchased monitor operates properly.
B=Event that a newly purchased mouse operates properly.
C=Event that a newly purchased disk drive operates properly.
D=Event that a newly purchased computer processor operates properly.
Suppose that the four events are independent, with
P(A)=P(B)=0.98, P(C)=0.97, P(D)=0.99
Find the following probabilities:
All 4 components are working properly.
All components are working properly except for the monitor.
The monitor or the processor operates properly.
SHOW ALL YOUR WORK and Round your answers to nearest four decimal places.
The answers to each part is mentioned above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a desktop computer system consists of a monitor, a mouse, a keyboard, the computer processor itself, and storage devices such as a disk drive.
It is assumed that -
A = Event that a newly purchased monitor operates properly.B = Event that a newly purchased mouse operates properly.C = Event that a newly purchased disk drive operates properly.D = Event that a newly purchased computer processor operates properly.P(A) = P(B) = 0.98, P(C) = 0.97, P(D) = 0.99.{ 1 } -
P{All 4 components are working properly} = (0.98 + 0.98 + 0.97 + 0.99)/4 = 0.98
{ 2 } -
P{All components are working properly except for the monitor} =
(0.98 + 0.97 + 0.99)/4 = 0.735
{ 3 } -P{The monitor or the processor operates properly} =
(0.98 x 0.99)/2
0.49
Therefore, the answers to each part is mentioned above.
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Enter your answer and show all the steps that you use to solve this problem in the space provided. Write the steps in solving 7 + 8 x = − 33. Justify each step with an appropriate property.
Answer: x=(-5)
Step-by-step explanation:
7+8x=-33
8x=-40
x=-5
What is 2+2???????????
PLEASE HELP ME I NEED TO KNOW
Answer:
2plus 2 is 4 you are jocking
Answer:
in the adjoining figure,pqrs is parallelogram.find the value of smr
A bakery sells apple pies for $11.05. If the pie has a diameter of 8 inches, what is the approximate cost per square inch of the apple pie? Round to the nearest hundredth.
A. $0.88
B. $0.05
C. $0.44
D. $0.22
Answer:
D. $0.22
Step-by-step explanation:
The pie is shaped like a circle
The area of a circle with radius r = πr²
This circular pie has a diameter of 8 inches
Radius = diameter/2 = 8/2 = 4 inches
Surface area of pie = π 4² = 16 π square inches
Cost of pizza = $11.05
Cost per square inch = Cost/Area = 11.05/16π = $0.22 rounded to nearest cent
The following table contains data about the height and weight of ten giraffes.
height (m) weight (kg)
5.42
1273
4.45
1257
4.53
1152
4.29
1059
3.96
1070
5.42
1260
5.64
1310
3.74
1046
4.45
1139
4.11
1084
Give an estimate of the height of a giraffe that weighs 1184
kg.
Give your answer rounded to two decimal places. Do not include the unit.
Height of giraffe that weighs 1184 kg = 4.74
What is linear regression?Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.
Given,
Table for the height and weight of giraffe
height weight(kg)
5.42 1273
4.45 1257
4.53 1152
4.29 1059
3.96 1070
5.42 1260
5.64 1310
3.74 1046
4.45 1139
4.11 1084
If height is x and weight is y
Linear regression equation
y = A + Bx
By the using calculator(calculations are attached below)
y = 137.30504x + 533.25952
If weight is 1184
1184 = 137.30504x + 533.25952
x =( 1184 - 533.25952)/137.30504
x = 650.74048/137.30504
x = 4.73937796
Rounded to two decimal places
Height x = 4.74
Hence, 4.74 is the height of 1184 kg giraffe.
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Without calculating which of the following is a reasonable answer for 28 times 32??which answer is right A or B or C or D pick one answer.
Without calculating, the following which is a reasonable answer for 28 times 32 is 896 and is therefore denoted as option C.
What is Multiplication?This is referred to as the process of combining matrices, vectors, or other quantities under specific rules to obtain their product and the symbol is (×).
We were given 28×32 which when expanded to get the product will give us 896 is therefore the reason why option C was chosen in this scenario.
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The options are:
© 196
® 496
© 896
0 12,096
help
The functions f(x) and g (x) are defined below.
f(x) = 3/4(2)^x
g(x) = 18x - 60
What is the difference in the x values for the two points where f(x)= g(x)?
A. 48
B. 4
C. 36
D. 2
Answer:36
Step-by-step explanation:
Levin Furniture buys a living room set with a $5,800 list price and a 50% trade discount. Freight (FOB shipping point) of $45 is not part of the list price. What is the delivered price (including freight) of the living room set, assuming a cash discount of 3/10, n/30, ROG? The invoice had an April 8 date. Levin received the goods on April 19 and paid the invoice on April 25.
The delivered price (including freight) of the living room set is $2858.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
List Price = $5800
Trade discount = 50%
So, Price after discount
= $5800 - 50% x $5800
= 5800- 2900
= $2900
if Levin pays within 10 days he will have a discount of 3%, So,
3% x $2900
= $87
Thus, the Delivered price = $2900 -$87+ freight charges ( shipping)
= $2900 -$87 + $45 =$2858
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Find the value of x. 148° to
The angles x and 148° are vertical angles and si the measure of the vertical angle x is equal to 148°.
What are vertically opposite anglesVertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.
The angles 148° and x form vertical angles, so x = 148°
Therefore, since the angles x and 148° are vertical angles and and vertically opposite angles are equal, then the measure of the vertical angle x is equal to 148°.
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Answer: A
Step-by-step explanation: bc
in cell c5=IF(C5>35000,IF(C5>25000<35000,IF(C5<25000,0.05*C5),0.04*C5),0.02*C5), enter a formula that uses a nested IF function to calculate the bonus. If sales in b5 are less $15,000, the sales person earns a 5% bonus. If the sales are greater than or equal to $15,000 but less than $25,000, the sales person earns a 10% bonus. If sales are more than or equal to $25,000, the sales person earns a 15% bonus.
Below is an example formula that you could use in cell C5:
=IF(B5<15000, 0.05*B5, IF(B5<25000, 0.1*B5, 0.15*B5))
How does the formula works?IF(B5<15000, 0.05*B5, ...) - If the value in B5 is less than $15,000, the formula calculates 0.05 * B5 (the 5% bonus), otherwise, it moves on to the next condition.
IF(B5<25000, 0.1*B5, ...) - If the value in B5 is less than $25,000 but greater than or equal to $15,000, the formula calculates 0.1 * B5 (the 10% bonus), otherwise, it moves on to the next condition.
0.15*B5 - If the value in B5 is greater than or equal to $25,000, the formula calculates 0.15 * B5 (the 15% bonus).
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erform the division and simplify. (In the second and third answer boxes, state any other restrictions on y not excluded by the domain of the expression in the first answer box. If there are no other restrictions, enter NONE.)
7y − 28/5y + 15 ÷ 4 − y/2y + 6
Answer:
I don't know if its right, but here's what I find.
Which statement best explains whether the following table represents a linear or nonlinear function?
x −2 −1 0 1 2
y −4 −2 0 2 4
The table represents a nonlinear function because there is not a constant rate of change in the input values.
The table represents a nonlinear function because there is not a constant rate of change in the output values.
The table represents a linear function because there is a constant rate of change in the input and output values. (this is the answer I finished the flvs quiz)
The table represents a linear function because there is not a constant rate of change in the input and output values.
The table represents a linear function because the rate of change is constant or all the points lie on a straight line.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables
From the given table it is noticed that the line passes through points (-1, -2), (0, 0), (1. 2), and (2, 4).
The slope of the line is
Slope = (2- 0)/1-0)
The slope of the line is. It means the value of y increased by 5 if the value of x increased by 2.
From the given points we can notice that the value of y increased by 5 if the value of x increased by 2. So, the function has the same slope for any two points.
Since the rate of change (slope) is the same for all points, therefore the table represents a linear function.
Therefore, If we plot these points on a coordinate plane and connect then we get a straight line. I mean it is a linear function.
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Find p and ,q if X1 = 17, n1 = 25, X2 = 28, and n2 = 80
The solutions are given below:-
Part (a),
X₁ + X₂ have distribution Bi(n₁+n₂, p)
Part (b),
P(X ₁+ X₂ = 1 | X₂ = 0) = np(1-p)ⁿ¹⁻¹
P(X₁+X₂ = 1| X₂ = 1) = (1-p)ⁿ¹
P(X₁ + X₂ = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹
What is binomial distribution?Since both variables are independent but they have the same probability parameter, you can interpret that as if the experiment that models each try in both variables is the same.
When you sum both random variables together, what you obtain as a result is the total amount of success in n₁+n₂ tries of the same experiment, thus X₁+X₂have distribution Bi(n₁ + n₂, p).
b)
Note that, if X₂ = k, then X₁ +X₂ = 1 is equivalent to X₁ = 1-k. Since X1 and X₂ are independent, then P(X₁ +X₂ = 1| X₂ = K) = P(X1=1-k|X₂=k) = P(X₁ = 1-k).
If k = 0, then this probability is equal to P(X₁ = 1) = np(1-p)ⁿ¹⁻¹
If k = 1, then it is equal to P(X₁ = 0) = (1-p)ⁿ¹
Thus,
P(X₁+X₂ = 1) = P(X₁+X₂ = 1| X₂ = 1) * P(X₂=1) + P(X₁+X₂ = 1| X₂ = 0) * P(X₂ = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹.
The complete question is given below.
Let X1 and X2 be two random variables following Binomial distribution Bin(n1,p) and Bin(n2,p), respectively. Assume that X1 and X2 are independent.
(a) The mgf of binomial distribution Bin(n, p) is (1 − p + pet)n. Use this fact to obtain the distribution of X1 + X2.
(b) Find the probability P(X1 + X2 = 1|X2 = k) for k = 0 and 1. Then use the law of total probability to find P (X1 + X2 = 1)
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3. Choose one of the two themes from #1 on which to create a thematic time line. Write the theme below. Answer: Theme: ______________________________________ (25 points) 4. Write the five time line entries below for the theme you chose in #3. For each entry, write a short paragraph that explains why you included the event on your time line. Answer: • Event 1: _____________________________________________________________________________ Rationale:
Theme: The Evolution of the Internet
• Event 1: The Launch of the ARPANET in 1969
Rationale: The ARPANET was the first successful implementation of what is now known as the Internet. It was a research project sponsored by the U.S. Department of Defense, and its goal was to develop a way for researchers to share information and resources electronically. The launch of the ARPANET marked the beginning of the Internet as we know it today, and set the stage for its future development and widespread use.
• Event 2: The Creation of the World Wide Web in 1989
Rationale: The World Wide Web, created by Tim Berners-Lee, was a major turning point in the history of the Internet. It allowed for the easy sharing and exchange of information and resources, and paved the way for the creation of modern websites. The World Wide Web quickly became the most popular way to access the Internet, and it remains so to this day.
• Event 3: The Commercialization of the Internet in the 1990s
Rationale: The commercialization of the Internet marked a significant shift in the way it was used and perceived. As more and more businesses and organizations began to see the potential of the Internet as a tool for commerce and communication, its popularity exploded. This led to the creation of new businesses and services, as well as the development of new technologies to support the growing demand.
What is a theme?A theme is the overarching message or claim about a subject that all of a story's or poem's components come together to create.
A story's topic is significant because it plays a role in the author's motivation for crafting the narrative. The author utilizes his story as a vehicle to communicate a message to readers that he wants to get through.
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A wildlife foundation wants to estimate the population of the grey wolf in the Northern Rockies. They tag 100 grey wolves with an identifier. Over the next six months, they gather five samples of 20 grey wolves each and record how many have an identifier tag. The results are shown in the table. Sample Number of Tagged Grey Wolves 1 1 2 2 3 2 4 1 5 2 Based on these results, how many grey wolves should they estimate live in the Northern Rockies? (Hint: Find the mean number of tagged wolves observed in the samples and treat this as the true mean for a sample of 20 wolves. Then use proportional reasoning to predict the total number of wolves in the region.) about __ grey wolves
From the result that we have here the total number of grey wolves is given as 32
How to solve for the number of grey wolvesTo estimate the population of the grey wolves in the Northern Rockies, we need to find the average number of tagged grey wolves in each sample of 20 and use that as a estimate for the population.
The mean number of tagged wolves in the five samples is:
(1 + 2 + 2 + 1 + 2) / 5 = 8 / 5 = 1.6
This means that, on average, 1.6 wolves out of 20 have a tag. We can use this information to estimate the total population of the grey wolves in the Northern Rockies:
(1.6 tagged wolves per sample of 20) * (total number of grey wolves / 20) = total number of tagged grey wolves
Multiplying both sides of the equation by 20, we find:
total number of grey wolves = (1.6 tagged wolves per sample of 20) * 20 = 32 grey wolves
So, we estimate that there are approximately 32 grey wolves in the Northern Rockies.
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15 Answer:
A local gym charges nonmembers $10 per hour to use the tennis courts.
Members pay a yearly fee of $300 and $4 per hour for using the tennis
courts. Write an equation to find how many hours, h, you must
use the tennis courts to justify becoming a member.
16 Answer:
Solve the equation in question #15 for the value of h.
17 Answer:
You are designing a web page for your school's biology club. You want
to include photos of the members on the page, which has a width of
640 pixels. You've decided that the left and right margins should be 24
pixels each and the space between each picture should be 16 pixels.
How wide can each picture be to fit four across the width of the page?
The inequality that will models the given scenerio is -
x > 21.5 hours.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts.
We can write the inequality as -
10x + 4x > 300
14x > 300
x > 21.5
Therefore, the inequality that will models the given scenerio is -
x > 21.5 hours.
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Natalie owns a used bookstore. Every day a book is not sold, the price drops by 1/10 of the list price. One book has a list price of $24.99. What will be the price of the book if it takes 3 days to sell
Answer:
22.49
19.99
Step-by-step explanation:
Answer:
$22.49 on the second day and 19.99 on the third.
A savings account deposit of $8,500 is made on April 1 and kept on deposit for 3 months. The account earns 5.4% annual interest, compounded quarterly. What amount of interest is earned on the deposit for three months?
Answer:
The amount of interest earned on the deposit for three months would be calculated using the compound interest formula. This formula takes into account the principal, the rate of interest, and the length of time the deposit is kept on deposit. Using these factors, the amount of interest earned on the deposit for three months would be approximately $139.14.
Step-by-step explanation:
504/36 in simplest form
Answer:
14/1
In my opinion it is the answer .
Thankyou .........!
How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points 0 comma 3 and 3 comma 4 and another line that passes through the points 0 comma negative 2 and 3 comma negative 1.
The number of solutions that the system of equations has is given as follows:
The system of linear equations represented in the graph have
No solutions.
How to obtain the number of solutions?The first step in obtaining the number of solutions of the system of equations is obtaining the linear function that represents each line.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope.
b is the y-intercept.
here, we have,
The first line goes through these following points:
(0,3) and (3,4).
The slope is given by change in y divided by change in x, hence:
slope = 3
When x = 0, y = 3,
hence the intercept is of b = 3
and the function is given as follows:
y = 3x - 3
The second line goes through these following points:
(0,-2) and (3,-1).
Hence the slope is of:
m = 3
The intercept is of b = -2,
and the equation is given as follows:
y = 3x-2.
Hence the solution is obtained as follows:
3x - 3=3x-2.
i.e.
The system of linear equations represented in the graph have
No solutions.
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A right-circular cylindrical water tanker supplies water to colonies on the outskirts of a city and to nearby villages. Each colony has a cuboidal water tank. In villages, people come with matkas (spherical clay pots) to fill water for their household.
i) How many colonies in total would one full tanker be able to supply?
ii) If a tanker supplies water to 3 colonies and then goes to a village where 400 people fill their matkas, roughly how much water is supplied by the tanker in all? Give your answer in m3
(i) one full tanker would be able to supply 5 colonies?
(ii) The tanker supplied 155.51 m³ of water in all
How to calculate how many colonies in total would one full tanker be able to supply?The volume of a cylinder can be calculated using the formula:
V = πr²h
where r and h are the radius and height of the cylinder
Thus, volume of tanker = π * 1² *70 = 70π m³
The volume of a cuboid can be calculated using the formula:
V = Length (L) × Width (W) × Height (W)
volume of cuboidal water tank = 7 * 2 * 3 = 42m³
The volume of sphere can be calculated using the formula:
V = 4/3 πr³
where is the radius of the sphere
r = 42/2 = 21 cm = 0.21 m
volume of spherical clay pots = 4/3 * π * 0.21³ = 0.012348π cm³
(i) Number of colonies = Volume of tanker/Volume of cuboidal tank
Number of colonies = 70π/42 = 5 colonies
(ii) Quantity of water = (3 * Volume of cuboidal tank) + (400 * volume of matkas)
Quantity of water = (3 * 42) + (400 * 0.012348π)
Quantity of water = 126 + 29.51
Quantity of water = 155.51 m³
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jackson pays 24.00 for 4 pounds of grapes. How many will he pay for 10 pounds of grapes?
Please explain and solve! I would appreciate it :) I’ll give brainly.
Answer:
Step-by-step explanation: We can solve it by doing a cross multiplication, basically finding the X, which is how much he'd pay for 10 pounds:
24 ------- 4
x ---------- 10
You can read this as "if 24 dollars is 4 pounds, how many dollars is 10?"
Anyways, so we multiply on a "X" shape, like this:
4x = 24 x 10
The equation will look better if you multiply the X first.
CONTINUING:
4x = 24 x 10
4x = 240
x = 240/4
x = 60
Therefore, Jackson would pay 60 dollars for 10 pounds of apples.
We could also do this by finding out first how many pounds of apples you can get with 1 dollar, we would do the same thing as before, but now looking for the pounds, not the dollars:
24 ------- 4
1 --------- X
24x = 4
x= 4/24
x= 0,166
So you can buy 0,16 pounds of apples with 1 dollar, so if we want to find out how much we can buy with 24 dollars we multiply 0,166 by 24, which is 3,984, approximately 4 pounds.
But since working with small numbers is quite odd sometimes, I recommend you do this equation with the first method I mentioned.
Question 5 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ($415)((1+0.003)24 - 1) ? (0.003)(1+0.003)24 OA. N=24; 1%-0.3; PV = ; PMT=-415; FV=0; P/Y=12; C/Y=12; PMT:END B. N=24; 1%-3.6; PV = ; PMT=-415; FV=0; P/Y=12; C/Y=12; PMT:END OC. N=2; 1%-0.3; PV = ; PMT=-415; FV=0; P/Y=12; C/Y=12; PMT:END ↓ OD. N=2; 1%-3.6; PV = ; PMT=-415; FV=0; P/Y=12; C/Y=12; PMT:END SUBMIT
Answer:
Option B. N=24; 1%-3.6; PV = ; PMT=-415; FV=0; P/Y=12; C/Y=12; PMT:END
Step-by-step explanation:
The TVM (Time Value of Money) Solver on a graphing calculator is used to calculate the present value (PV) of an investment. The input values for the solver include the number of periods (N), the interest rate (I%), the present value (PV), the payment (PMT), the future value (FV), the payment frequency per year (P/Y), and the compounding frequency per year (C/Y). In this case, the expression ($415)((1+0.003)24 - 1) is equivalent to the future value of an investment that receives a payment of $415 every period for 24 periods, with an interest rate of 0.3% per period. By plugging in N=24, I%=3.6, PV=0, PMT=-415, FV=0, P/Y=12, and C/Y=12 into the TVM Solver with PMT as the payment type, the same value for PV will be returned as the expression ($415)((1+0.003)24 - 1).
Jared used a survey to determine the political views of his 250 classmates. He randomly selected 40 students to complete the survey. The survey results showed that 10 of them do not belong to a major political party.
Based on these results, about how many of his 250 classmates do not belong to a major political party?
To estimate the number of classmates who do not belong to a major political party, we can use the proportion of students in the sample who do not belong to a major political party as a basis.
Out of the 40 students surveyed, 10 do not belong to a major political party, so the proportion is 10/40 = 0.25.
We can then multiply this proportion by the total number of classmates to estimate the number who do not belong to a major political party:
0.25 * 250 classmates = 62.5 classmates
So about 62 or 63 of the 250 classmates are estimated to not belong to a major political party.