Answer:
i don't know sorry but good luck finding your answer from someone
Step-by-step explanation:
good luck
Answer:
k prime is (1,-5)
Step-by-step explanation:
Which is the only congruence theorem that cannot be use to prove these triangles to be congruent?
A
SAS
B
AAS
C
SSS
D
ASA
The only congruence theorem that cannot be used to prove these triangles to be congruent is option B, AAS (Angle-Angle-Side).
The SAS (Side-Angle-Side), SSS (Side-Side-Side), and ASA (Angle-Side-Angle) congruence theorems all involve matching corresponding sides and angles of two triangles. However, AAS only matches two angles and a non-included side, which is not enough to guarantee congruence in all cases.
In fact, the AAS congruence theorem only works if the given non-included side is between the two given angles, forming a "triangle sandwich" with the two given angles as the bread and the non-included side as the filling.
If the non-included side is not between the two given angles, then it is possible to have two non-congruent triangles with the same angle measures, but different side lengths.
Therefore, the AAS congruence theorem cannot be used to prove all cases of triangle congruence, making it the only option that cannot be used to prove these triangles to be congruent
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Use the following picture to find the measure of angles 3 and 4. (picture)
What includes all positive and negative numbers but not zero?
The "integers"— , positive, negative, NOT zero. The "rational numbers"— , or fractions, like 355/113.
Here are some fractions.
3/10 7/20 2/5 1/4
Write these fractions in ascending order.
Answer:
1/4, 3/10, 7/20, 2/5
Step-by-step explanation:
1/4 = 25%
3/10 = 30%
7/20 = 35%
2/5 = 40%
Let f(x)=-5x^(3)-8x^(2)-4x+3 and g(x)=3x^(3)-2x^(2)-8x-4.
Find (F-G)(X) Find(f-g)(-1)
The value of (f - g)(-1) is 5.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -5x³ - 8x² - 4x + 3
g(x) = 3x³ - 2x² - 8x - 4
Now,
(f - g)(x)
= f(x) - g(x)
= -5x³ - 8x² - 4x + 3 - (3x³ - 2x² - 8x - 4)
= -5x³ - 8x² - 4x + 3 - 3x³ + 2x² + 8x + 4
= -8x³ - 6x² + 4x + 7
Now,
(f - g) (-1)
Substitute x = -1.
= -8(-1)³ - 6(-1)² + 4(-1) + 7
= -8 x -1 - 6 - 4 + 7
= 8 - 6 - 4 + 7
= 8 - 10 + 7
= 15 - 10
= 5
Thus,
(f - g)(-1) = 5
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What is the expression for f(x) when we rewrite 36^x•6^(x-2) as 6^f(x)?
Answer: 3x-2
Using the given information, the expression for f(x) is 3x - 2
Writing an expressionFrom the question, we are to determine the the value of f(x)
The given expression is
36^x•6^(x-2)
That is
\(36^{x} \times 6^{x-2}\)
This can be expressed as
\(6^{2x} \times 6^{x-2}\)
Applying one of the laws of indices, we get
\(6^{2x+x-2}\)
= \(6^{3x-2}\)
Since the expression was rewritten as
\(6^{f(x)}\)
By comparison,
f(x) = 3x - 2
Hence, the expression for f(x) is 3x - 2
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Can someone please help me? :(
Answer:
16c+7d
Step-by-step explanation:4(4c+2d)-d
16c+8d-d
16c+7d
Calculate the circumference of each circle. Round your answer to the nearest hundredth.
Answer: 39.58 cm
Step-by-step explanation:
The circumference of a circle is 2 times the radius times pi or pi times the diameter. so we know the diameter is 12.6 so just multiply it by pie.
12.6 * pi = 39.584
Now rounded to the nearest hundredth is 39.58.
PLEASE HELP ME IM STRUGGLING
For given right triangles the value of a = 6√2 and b = 5/√3
In this question we have been given two right triangles.
In the first right triangle, we need to find the value of b.
Consider the tangent of angle 30°
tan(30°) = b/5
1/√3 = b/5
b = 5 × (1/√3)
b = 5/√3
In the second right triangle, we need to find the value of a.
This right triangle is isosceles right triangle.
So, the sides of right triangle are: a, 6, and 6
Using Pythagoras theorem,
a = √(6² + 6²)
a = √[2×(6²)]
a = 6√2
Therefore, for given right triangles the value of a = 6√2 and b = 5/√3
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sebastian buys a t shirt that costs 25.36 it is on sale for 4.52 off what is the sale price
Answer:
20.84
Step-by-step explanation:
$25.36 - $4.52 = $20.84
Hope this helps
A sample that does not represent the entire group of interest is called a _____ sample. Group of answer choices biased random bad partial
A sample that does not represent the entire group of interest is called a biased sample.
A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.
Therefore, a biased sample may not be an accurate representation of the entire population.
For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.
A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.
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Find m<1
A. 70°
B. 65°
C. 50°
D. 40°
Question :- Find Angle 1 in diagram
Answer:- Exterior angle is equal to sum of two opposite interior Angle
so :- ATQ
\(140 = \angle1 + 90 \\ 140 - 90 = \angle1 \\ 50° = \angle1 \: \: ans\)
so your answer is option (C) 50°
What is the correct way to write 0.0000250 m in scientific notation? 2.50 times. 10â€""5 m 2.5 times. 10â€""5 m 2.50 times. 10â€""4 m 2.5 times. 10â€""4 m
The correct way to write 0.0000250 m in scientific notation is 2.5 · 10⁻⁵ m.
What is scientific notation?Scientific notation is a convenient way to write numbers that are very large or very small. A number written in scientific notation consists of a number greater than or equal to 1 but less than 10 multiplied by a power of 10. Here are some examples of numbers written in scientific notation:
1.23 × 10⁻⁴9.9 · 10¹⁰⁰5 · 10²Since you're given a number less than 1, move the decimal point to the right until you have a number between 1 and 10. Then, count the number of times you moved the decimal and write that as negative exponent over a base of 10. Finally, write out number multiplied by the power. You'll get 2.5 · 10⁻⁵ if you do those things correctly.
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Answer:
A. 2.50 Times. 10–5 m
Step-by-step explanation:
other one is wrong
For the following questions, find the coordinates of a point on a circle, centered at the origin, for the given radius and the given angle (a) Radius r 8.9 Angle: 0152 2-coordinate= (b) Radius: r=4.2 Angle 221". -coordinate= and y-coordinate and y-coordinate = Note: Round your answers to 2 places after the decimal when applicable
The coordinates of a point on a circle with radius 8.9 and an angle of 152° are (-3.94, 7.76).
Given, Radius r = 8.9, Angle: θ = 152°
Part a:
To find the coordinates of a point on a circle with radius r and an angle θ, we can use the following formulas:
x-coordinate = r cos(θ, )y-coordinate = r sin(θ)
Substituting the given values, we have;
x-coordinate = 8.9 cos 152° = -3.944.... (rounding off to 2 decimal places)
x-coordinate ≈ -3.94 (rounded off to 2 decimal places)
y-coordinate = 8.9 sin 152° = 7.764....(rounding off to 2 decimal places)
y-coordinate ≈ 7.76 (rounded off to 2 decimal places)
Hence, the coordinates of a point on a circle with radius 8.9 and an angle of 152° are (-3.94, 7.76).
Part b:
Given, Radius: r=4.2, Angle θ = 221°
To find the coordinates of a point on a circle with radius r and an angle θ, we can use the following formulas:
x-coordinate = r cos(θ), y-coordinate = r sin(θ)
Substituting the given values, we have;
x-coordinate = 4.2 cos 221° = -2.396.... (rounding off to 2 decimal places)
x-coordinate ≈ -2.40 (rounded off to 2 decimal places)
y-coordinate = 4.2 sin 221° = -3.839....(rounding off to 2 decimal places)
y-coordinate ≈ -3.84 (rounded off to 2 decimal places)
Hence, the coordinates of a point on a circle with radius 4.2 and an angle of 221° are (-2.40, -3.84).
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in 2014, 85 percent of households in the united states had a computer. for a randomly selected sample of 200 households in 2014, let the random variable cc represent the number of households in the sample that had a computer. what are the mean and standard deviation of cc ?
The standard deviation is 5.05 households, while the mean is 170 households.
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean.
Here,
n=200
p=85%
mean=200*85%
=170
standard deviation=√(np(100-p))
=√(170*(100-85))
=√(170*15%)
=25.5
=5.0497
=5.05
The mean is 170 households, and the standard deviation is 5.05 households.
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Ms. Perez invested $20,000 in an account that pays 2.5% annual simple 10 points
interest. Ms. Perez will not make any additional deposits or withdraws.
How much money will she have at the end of 5 years?
A. $100
B. $34,000
C.$22,500
D. $2500
Help Imao!!
Answer:
pretty sure it's c
Help I'll give Brainly
Answer:i think D
Step-by-step explanation:
Find an equation of the line tangent to the curve at the point corresponding to the given value of t:
x=cost+tsint, y=sint-tcost, t=pi/4
The equation of the tangent line:
y = (-x - sqrt(2)/2) - (π/2)(x - sqrt(2)/2)
To find the equation of the line tangent to the curve at the point corresponding to t = π/4, we need to find the first derivatives of x and y with respect to t, evaluate them at t = π/4, and then use these values to find the slope of the tangent line.
The first derivative of x with respect to t is:
dx/dt = -sint + tcost
The first derivative of y with respect to t is:
dy/dt = cost + tsint
Evaluating these at t = π/4, we get:
dx/dt|t=π/4 = -sqrt(2)/2
dy/dt|t=π/4 = (sqrt(2)/2) + (π/4)(sqrt(2)/2)
The slope of the tangent line is the ratio of the change in y to the change in x. So, the slope of the tangent line at t = π/4 is:
m = dy/dt|t=π/4 / dx/dt|t=π/4 = -1 - π/2
Now, we can use the point-slope form of the equation of a line to find the equation of the tangent line. Using the point (x(π/4), y(π/4)) = (sqrt(2)/2, sqrt(2)/2), we get:
y - (sqrt(2)/2) = (m)(x - sqrt(2)/2)
Substituting the value of m, we get:
y - (sqrt(2)/2) = (-1 - π/2)(x - sqrt(2)/2)
Expanding and simplifying, we get the equation of the tangent line:
y = (-x - sqrt(2)/2) - (π/2)(x - sqrt(2)/2)
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Iq scores are known to be normally distributed. the mean iq score is 100 and the standard deviation is 15. what percent of the population has an iq over 115?
The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115
According to the statement
we have to find that the what percent of the population has an iq over 115.
And from given information,
the mean iq score is 100 and the standard deviation is 15.
And
Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
And by use of this formula, we find the percentage of the population has an iq over 115.
Then the result will comes as 100%.
hence, 100%-Norm.Dist(value,mean,sd,true)
So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.
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‼️‼️‼️‼️Please Help, I really need to submit this by the end of the day and will automatically give brainliest to first answer‼️‼️‼️
Answer:
One solution is, (3,2)
One solution is, (-1,1)
There are infinitly many solutions
The equation of the line is \(y=\frac{1}{4} x+\frac{5}{4}\)
Step-by-step explanation:
Anything on the line is a solution.
The line is infinite therefore the solutions are also infinite.
The dot (3,2) and (-1,1) are both on the line therefore they are both solutions.
The slope of the line is 0.25 or 1/4 so we know the first part of the equation.
y = 1/4x
The y-intercept is on the point 1.25 or 5/4
We now know the whole equation
y = 1/4x + 5/4
To double check you can plug in points into the x and y spots on the equation or as I did graph it.
If you roll a six sided die what is the probability of not getting a 4?
Answer: 5/6 chance
Step-by-step explanation:
well on a six sided die there are the numbers : 1 , 2 , 3 , 4 , 5 , 6 obviously and we know that the total number of possible outcomes when you roll it would be six
rolling a 4 is only one option out of six so we subtract one from six
6 - 1 = 5
so theres a 5/6 chance you will not roll a 4
hope this helped :))
Answer:
5/6 or .83 or 83%
Step-by-step explanation:
there are five other numbers.
The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by the following equation, where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week.
R(x, y) = -0.25x2 - 0.2y2 - 0.2xy + 200x + 160y
The total weekly cost attributable to the manufacture of these desks is given by the following equation, where
C(x, y) is in dollars.
C(x, y) = 110x + 60y + 3600
Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit.
finished units
unfinished units
What is the maximum profit realizable?
$
To maximize its profit, the company should manufacture 320 finished units and 200 unfinished units each week. The maximum profit achievable is $24,080.
To determine the number of finished units and unfinished units that the company should manufacture each week in order to maximize profit, we need to optimize the objective function. In this case, the objective is to maximize profit, which is given by the difference between revenue and cost.
The profit function, P(x, y), can be obtained by subtracting the cost function, C(x, y), from the revenue function, R(x, y):
P(x, y) = R(x, y) - C(x, y)
Substituting the given revenue and cost functions into the profit function, we have:
P(x, y) = (-0.25x^2 - 0.2y^2 - 0.2xy + 200x + 160y) - (110x + 60y + 3600)
Simplifying, we get:
P(x, y) = -0.25x^2 - 0.2y^2 - 0.2xy + 200x + 160y - 110x - 60y - 3600
Next, we can differentiate the profit function with respect to x and y, and set the resulting equations equal to zero to find the critical points. Solving these equations, we obtain:
dP/dx = -0.5x - 0.2y + 200 - 110 = 0
dP/dy = -0.4y - 0.2x + 160 - 60 = 0
Simplifying these equations, we find:
-0.5x - 0.2y + 90 = 0 ...(1)
-0.2x - 0.4y + 100 = 0 ...(2)
By solving equations (1) and (2) simultaneously, we find the values of x and y:
x = 320
y = 200
Therefore, the company should manufacture 320 finished units and 200 unfinished units each week to maximize profit. To calculate the maximum profit, we substitute these values back into the profit function:
P(320, 200) = (-0.25 * 320^2 - 0.2 * 200^2 - 0.2 * 320 * 200 + 200 * 320 + 160 * 200) - (110 * 320 + 60 * 200 + 3600)
Calculate this expression, we find that the maximum profit achievable is $24,080.
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Find the solutions to the equation. Select ALL that apply.
-3y (2y + 5) = 0
A. y = -3
B. y = 0
C. y = 3
D. y = -5/2
E. y = -2/5
F. y = 2/5
Answer:
0
Step-by-step explanation:
-3y(2y+5)=0
-6y+15y=0
9y=0
y=0÷9
y=0
Answer:
y=0
Step-by-step explanation:
you may need to use the appropriate technology to answer this question. management decision systems (mds) is a consulting company that specializes in the development of decision support systems. mds has a four-person team working on a current project with a small company to set up a system that scrapes data from a collection of websites and then automatically generates a report for management on a daily basis. time (weeks) activity description immediate predecessor optimistic most probable pessimistic a report generation 2 8 12 b web scraping 4 9 11 c testing a, b 1 1 1 (a) construct the project network. (submit a file with a maximum size of 1 mb.) this answer has not been graded yet. (b) based solely on the critical path, estimate the probability that the project will be complete within 11 weeks. (round your answer to four decimal places.) (c) using all paths through the project network, estimate the probability that the project will be complete within 11 weeks. (round your answer to four decimal places.) (d) should you use the estimate in (b) or (c)? the probability estimate from (b) based on the critical path is more accurate.the probability estimate from (c) based on both paths is more accurate. the probability estimates from (b) and (c) are equal.
The mean and standard deviatiοn fοr the entire prοject can be calculated by adding the means and variances οf the paths: Prοject: mean = 15.33
What is Prοbability ?Prοbability can be defined as ratiο οf number οf favοurable οutcοmes and tοtal number οutcοmes.
Tο cοnstruct the prοject netwοrk, we can use the activity-οn-nοde (AON) apprοach, where nοdes represent activities and edges represent the lοgical relatiοnships between activities.
Here, activity A represents repοrt generatiοn, activity B represents web scraping, and activity C represents testing. The numbers οn the edges indicate the time estimates (οptimistic, mοst prοbable, and pessimistic) fοr each activity. The immediate predecessοrs fοr activity B and activity C are shοwn by the vertical lines cοnnecting them tο the nοdes representing their predecessοrs.
Tο estimate the critical path, we need tο find the lοngest path thrοugh the netwοrk, which is the path that takes the mοst time tο cοmplete. In this case, the critical path is A-B-C, with a duratiοn οf 8+9+1=18 weeks.
(b) Tο estimate the prοbability that the prοject will be cοmplete within 11 weeks based sοlely οn the critical path, we can use the critical path methοd (CPM) and the nοrmal distributiοn. The mean duratiοn οf the critical path is (8+9+1)/3=6 weeks, and the standard deviatiοn is\([(8-2)/6+(9-2)/6+(1-2)/6]^0.5=1.15\) weeks.
The prοbability that the critical path will be cοmpleted within 11 weeks can be calculated using the standard nοrmal distributiοn as fοllοws:
P(Z <= (11-6)/1.15) = P(Z <= 4.35) = 1
Therefοre, the prοbability estimate is 1 οr 100%.
(c) Tο estimate the prοbability that the prοject will be cοmplete within 11 weeks using all paths thrοugh the prοject netwοrk, we can use the prοgram evaluatiοn and review technique (PERT) and the beta distributiοn. The mean duratiοn and standard deviatiοn fοr each activity can be calculated using the PERT fοrmula:
mean = (οptimistic + 4*mοst prοbable + pessimistic)/6
standard deviatiοn = (pessimistic - οptimistic)/6
The mean and standard deviatiοn fοr each activity are shοwn belοw:
Activity A: mean = (2+8+12)/6 = 7, stdev = (12-2)/6 = 1.67
Activity B: mean = (4+9+11)/6 = 8, stdev = (11-4)/6 = 0.83
Activity C: mean = (1+1+1)/6 = 0.33, stdev = (1-1)/6 = 0
Using the mean and standard deviatiοn fοr each activity, we can calculate the mean and standard deviatiοn fοr each path and fοr the entire prοject. The mean and standard deviatiοn fοr each path are shοwn belοw:
Path 1 (A-B-C): mean = 7+8+0.33 = 15.33, stdev \(= (1.67^2+0.83^2+0^2)^0.5 = 1.87\)
Path 2 (A-C): mean = 7+0.33 = 7.33, stdev \(= (1.67^2+0^2)^0.5 = 1.67\)
Therefοre, The mean and standard deviatiοn fοr the entire prοject can be calculated by adding the means and variances οf the paths: Prοject: mean = 15.33
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Tell whether the angles are adjacent or vertical. Then find the value of $x$ .
Two line segments intersect each other, with two opposite angles labeled as 75 degrees and left parenthesis 4 x minus 25 right parenthesis degrees please help
Answering the question, we may state that Hence, x has a value of 25 angles degrees.
what are angles?An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the centre, called the angle's vertex. It is possible for two rays to join to generate an angle in the plane where they are located. An angle is also produced when two planes intersect. Dihedral angles are the name given to them. The potential arrangement of two rays or lines that share a termination is known as an angle in plane geometry. The Latin word "angulus," which means "horn," is where the word "angle" in English first appeared. The vertex is the point at where the two rays, often referred to as the angles' sides, converge.
Vertical angles are the two opposing angles created when two lines connect. Hence, the angles denoted by the labels 75 degrees and (4x - 25) degrees are vertical angles.
Congruent angles on the vertical axis have the same measure. Because of this, we can equalize the two vertical angles and find x:
(4x - 25) degrees Equals 75 degrees
On both sides, add 25
4x100 Equals 100 degrees
x = 25
Hence, x has a value of 25 degrees.
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need help
complete solution and correct aanswer
Answer:
17.0 m/s
Step-by-step explanation:
Using SUVAT:
\(s= \\u=7.0\:\textsf{m/s}\\v=v \\a=2.0\:\textsf{m/s}^2\\t=5\: \sf s\)
\(\begin{aligned}\textsf{Using}\quad v & =u+at\\ \implies v & = 7.0+2.0(5)\\ & = 7.0+10.0\\ & = 17.0\:\textsf{m/s} \end{aligned}\)
Moving to another question will save this response. 3 points Out of all the children who visit the dentist, 59.7% of children are known to cry at any point in time. A dental clinic had a quiet day yesterday, with only 12 children attending yesterday. What is the probability that no more than two of these children will cry during their visit to the dentist? (3 decimal places) (1) Moving to another question will save this response.
The probability that no more than two children will cry during their visit to the dentist is 0.882. This probability is calculated using the binomial distribution formula and the given probability of 59.7% of children crying.
The binomial distribution is used when there are two possible outcomes (in this case, crying or not crying) and each outcome has a fixed probability of occurring (59.7% or 0.597 in this case).
To find the probability, we need to calculate the probability of each possible outcome (0, 1, and 2 children crying) and then sum them up.
Using the binomial probability formula, the probability of k successes (children crying) out of n trials (children visiting the dentist) is given by:
P(X=k) = C(n, k) * p^k * (1-p)^(n-k)
Where C(n, k) represents the number of combinations of n items taken k at a time, p is the probability of success (0.597), and (1-p) is the probability of failure.
To find the probability that no more than two children will cry, we calculate P(X=0) + P(X=1) + P(X=2).
Once we calculate the individual probabilities, we can sum them up to find the final probability.
Please note that without knowing the exact number of children who cry, we are assuming a binomial distribution and using the given probability of 59.7% as an estimate.
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Solve for m:
−3(1−5m)=−38+8m
Answer:
The answer is ✰ m = -5 ✰
Step-by-step explanation:
Hope this helps :))
Answer:
m= -5
Step-by-step explanation:
assume you purchased some corporate stock 4 years ago for $7,500. You received quarterly dividends of 875 ; your dividends total $1,200 (16 dividend checks ×$75=$1,200). You sold the stock today for $8,050. 6. The PV is $8,050 because that is the amount you received today (in the present). (T or F ) 7. $1,200 represents which variable (PV, PMT, or FV)? 8. What is the FV amount? Unit 12.2 Financial calculators 9. When is it not necessary to clear the TVM registers? 10. By setting our "periods per year" register at 1 we must enter the periodic rate in the i-register. (T or F)
6. False. The present value (PV) is the initial investment or the amount invested in the stock, which is $7,500, not the amount received today ($8,050).
7. $1,200 represents the variable PMT (Payment). It represents the total dividends received over the four-year period.
8. The future value (FV) amount is $8,050, which is the amount received from selling the stock today.
9. It is not necessary to clear the TVM (Time Value of Money) registers when the calculations are completed, and you don't need to perform any further calculations.
10. True. When the "periods per year" register is set to 1, the periodic rate (interest rate) should be entered directly into the i-register as a decimal value, such as 0.05 for 5%.
Therefore, the PV is not $8,050 but $7,500, representing the initial investment. The variable $1,200 represents the PMT (payment) or the total dividends received. The FV amount is $8,050, the selling price of the stock. Clearing the TVM registers is not necessary after completing calculations, and when "periods per year" is set to 1, the periodic rate is entered directly into the i-register.
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Analyze the diagram below and answer the question that follows.If <1 congruent to <2, what conclusions can you draw about m<3 and m<4?
In geometry, a transversal is a line that intersects two or more other lines. When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles .
It is given that <1 = <2
Then m<3 = m<4, since
\(\begin{gathered} <1+m<3=90 \\ <2+m<4=90 \\ <1=<2=x \\ m<3=90-x=m<4 \end{gathered}\)Therefore, m<3 = m<4.