Answers
The required area of the given figure is 19.68 in².
Given that,
length of first diagonal = p = 16.4 in.
length of 2nd diagonal = q = 2.4 in.
Since, the given figure is nothing but rhombus,
And a parallelogram is a particular instance of a rhombus and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus
And we know that area of a rhombus = (p q)/2
Where p and q are diagonals of the given rhombus
Therefore,
Area = 16.4 x 2.4/2
= 19.68 in²
So the area of given rhombus is 19.68 in².
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Related Questions
What’s the answer to this
Answers
The equation of the mathematical statement is: y= 1.75x.
Based on the information given, we can assume that the growth per year for Amy's tree is given by:
y = 1.75x
where x is the number of years after planting the seed.
However, this is not in the form of y = mx + b.
To write it in that form, we need to isolate y on one side of the equation:
y = 1.75x + 0
where m = 1.75 and b = 0.
Therefore, the equation of the mathematical statement is:
y = 1.75x + 0 or simply y = 1.75x.
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NEED HELP ASAP, DUE IN 5 MINUTES
Which angle is an exterior angle?
O A. ∠3
O B. ∠7
O C. ∠5
O D. ∠6
Answers
Answer: 7 or 3
Step-by-step explanation:
i’m not too good with this stuff, i looked something up and i do think that it’s 7 or 3. (just wanted to help a little bit, i hope you get it right) try 7 <
Answer:
Step-by-step explanation:
B. 7
Exterior derives from Ex meaning out.
Any angle that is out of the triangle (2,4,7,1) are exterior.
Samantha works in the snack bar at a community center. She earns $8 an hour. On her last day, she is paid a bonus of $50.
A) choose a variable to represent the number of hours Samantha works.
B) write an algebraic expression that describes Samantha's earnings.
C) Use your expression to calculate how much Samantha would earn if she works 15h and receives the bonus. Show your work.
Answers
Answer:
8b + 50
A) b is the variable
B) 8b + 50
C) She would earn $170 if she worked for 15 hours and got a bonus.
Step-by-step explanation:
In order to calculate 1%, you need to know how percentage works and how to calculate the percentage of any number. Percentage means a number divided into 100 parts. For example, you have a huge cake and you have 100 guests. You need to divide that huge cake into 100 parts. Basically, every guest is getting 1% of the cake. That was pretty easy to calculate but what if, you have a huge cake and you have 50 guests? How much percent of the cake will each guest will be having? There are two ways to solve it, the old-fashion way and the quick way, we will discuss both ways, don't worry. The old-fashion way provides a great explanation for the concept of percentage. It might be a little bit time-consuming but it is worth it. As the words tell you, the quick way is very quick but there is not much learning about percentage in it.
A telephone costs $47. Hayley bought 6 telephones. How much did Hayley spend in all?
Answers
Answer:
$282
Step-by-step explanation:
if one telephone costs $47 and you want to find the cost of six telephones, you multiply 47 x 6 = 282.
Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answers
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
dy/dx = (4x^2 +3y^2)/2xy
Answers
Starting with:
dy/dx = (4x^2 +3y^2)/2xy
We can rearrange the equation to separate the variables:
(2y^2)dy = ((4x^2)/(2x))dx + ((3y^2)/(2y))dx
Simplifying this equation, we get:
y^2 dy = 2x^2 dx + (3/2) y dx
Now we can integrate both sides:
∫y^2 dy = ∫(2x^2 dx + (3/2) y dx)
Integrating the left-hand side, we get:
(1/3) y^3 + C1
where C1 is the constant of integration.
Integrating the right-hand side, we get:
(2/3) x^3 + (3/4) y^2 + C2
where C2 is the constant of integration.
Putting these two results together, we get:
(1/3) y^3 = (2/3) x^3 + (3/4) y^2 + C
where C is the constant of integration that combines C1 and C2.
Simplifying this equation, we get:
y^3 = 2x^3 + (9/4) y^2 + C
where we have absorbed the constant (1/3)C into C.
This is the general solution to the differential equation.
100 PTS | The points (-5,13) and (-2,r) lie on a line with slope -3. Find the missing coordinate r.
Answers
The missing coordinate is r = 4. The point (-2, 4) lies on the line with slope -3 passing through (-5, 13).
The slope of the line passing through the points (-5, 13) and (-2, r) is given by:
m = (r - 13) / (-2 - (-5)) = (r - 13) / 3
We are also given that the slope of the line is -3. Therefore, we can set the two expressions for the slope equal to each other and solve for r:
(r - 13) / 3 = -3
r - 13 = -9
r = 4
Therefore, the missing coordinate is r = 4. The point (-2, 4) lies on the line with slope -3 passing through (-5, 13).
In this problem, we are given one point (-5, 13) and a second point with a missing y-coordinate (-2, r). However, we are also given the slope of the line (-3).
Using the formula for slope, we can set up an equation that relates the change in y-coordinate to the change in x-coordinate between the two points. Solving for the missing y-coordinate gives us the value of r = 4.
In summary, this problem demonstrates how we can use the formula for slope to find a missing coordinate of a point on a line when we know the slope and one other point on the line.
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Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
Answers
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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Function m is nonlinear and m(4) = 9. Which equation could represent function m?
a. m(x)=9
b. m(x)=/x+1
c. m(x)=x^2-7
d m(x)=2/3x-2
Answers
Answer:
The equation that could represent function m, given that m(4) = 9, is:
c. m(x) = x^2 - 7
Let's verify this by substituting x = 4 into the equation:
m(4) = 4^2 - 7
= 16 - 7
= 9
Since m(4) equals 9, the equation m(x) = x^2 - 7 satisfies the condition. Therefore, option c is the correct representation for function m.
Step-by-step explanation:
Book 1
Book 2
Book 3
Book4
Book5
Average
A price
$45
$15
$12
$70
$36
B Type of cover
Hardcover
Paperback
Paperback
Hardcover
NA
C weight
3.5lbs
0.75lbs
0.5lbs
4.0lbs
3.23bs
What of the above represents categories data check all that apply
A.Column A
B. Column B
C. ColumnC
D. None above
Answers
The correct options are A. Column A and B. Column B, which represent categories data.
Based on the given information, the categories data can be identified as follows:
A. Column A represents categories data as it lists the different books (Book 1, Book 2, Book 3, Book 4, Book 5).
B. Column B represents categories data as it provides the type of cover for each book (Hardcover, Paperback, Paperback, Hardcover, NA).
C. Column C represents numerical data as it provides the weights of the books (3.5lbs, 0.75lbs, 0.5lbs, 4.0lbs, 3.23lbs).
Therefore, the correct options are A. Column A and B. Column B, which represent categories data.
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WATER
SECRET MESSAGE:
After finding all the words, write the unused letters on the blank spaces below. Start from the underlined
letter and move from left to right through each row, going down.
2
M
Co, +1,0
K
cefuer
terythi
0,15
WY
chlorae last is a
eigent that gives
fants the color green.
it helps PlantE
-ד
Answers
Answer:
pigment photosynthesis
Step-by-step explanation:
green eat water
The question refers to a word puzzle which requires finding words and using the unused letters to form a secret message, letters are selected from left to right in each row, starting from the underlined word. The secret message is formed by the unused letters.
Explanation:Based on the framework provided by the question, this appears to be a puzzle involving finding words in a grid and then using unselected letters to form a secret message. The act of finding the words and aligning the remaining letters to get the secret message involves some steps. Start from the underlined letter and follow from left to right in each row, moving downwards. Write the unused letters are written on the blank space.
For example, if the underlined word is M. You find the word 'Water' in the second and third row. The unused letters Ko from the first line, efuer from the fourth line, and ythi from the fifth line form 'Koefuerythi' which could be the secret message.
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Help please I have to answer these questions using the graph.
Answers
a. The concentration of the drug after 8 hours is equal to 24 mg/L.
b. The interval over which the concentration increases is 0 < t < 2. The interval over which the concentration decreases is 2 < t < ∞.
c. The drug is at its maximum concentration when t = 2 hours and the maximum concentration is 64 mg/L.
d. After the drug reaches its maximum concentration, the number of hours that are required for the concentration to decrease to 16 mg/L is 8 hours.
e. After 1 week and 1 month, we can predict that the concentration of the drug kept decreasing after reaching 20 hours.
f. After the drug is taken orally, it took exactly 2 hours to reach a maximum concentration of 64 mg/L.
How to determine the concentration of the drug after 8 hours?By critically observing the graph, the time and concentration of the drug after 8 hours is represented by the order pair (8, 24). Therefore, the concentration is equal to 24 mg/L.
Part b.
For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value is increased, then, the function is generally referred to as a decreasing function.
For any given function, y = f(x), if the output value (range) is increasing when the input value is increased, then, the function is generally referred to as an increasing function.
By critically observing the graph of the given function, we can reasonably infer and logically deduce the following:
The function is increasing over the interval [0, 2] or 0 < t < 2.The function is decreasing over the interval [2, ∞] or 2 < t < ∞.Part c.
The vertex (2, 64) of the graph represent the point where the drug is at its maximum concentration, which is time (t) = 2 hours and the maximum concentration is y = 64 mg/L.
Part d.
After the drug reaches its maximum concentration, the number of hours that are required for the concentration to decrease to 16 mg/L can be calculated from the graph as follows;
Number of hours = 10 - 2
Number of hours = 8 hours.
Part e.
After 1 week and 1 month, it can be predicted that the concentration of the drug kept decreasing after reaching 20 hours.
Part f.
After the drug is taken orally, it took exactly 2 hours to reach a maximum concentration of 64 mg/L. Subsequently, the level of the drug in the bloodstream drops after reaching its maximum concentration, reaching approximately 10 mg/L after 12 hours.
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Need help asap, someone who 100% knows the answer and can give a step by step explanation. I need this before the end of this class, please and thank you!
Answers
The volume of the pyramid is 605 cubic centimeters.
Volume of a pyramidTo calculate the volume of a pyramid, you can use the formula:
Volume = (1/3) x base area x height
In this case, the base of the pyramid is a square with a dimension of 11 cm. The base area can be calculated by squaring the length of one side of the square:
Base Area = 11 cm x 11 cm = 121 [tex]cm^2[/tex]
The height of the pyramid is given as 15 cm.
Now we can substitute these values into the volume formula:
Volume = (1/3) x 121 x 15
Volume = (1/3) x 1815
Volume ≈ 605 [tex]cm^3[/tex]
Therefore, the volume of the pyramid is approximately 605 cubic centimeters.
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9. Find the distance between (12,-10) and (0,-6).
a
5√5
b 3√7
c 4√/10
d 2√/13
Answers
Answer:
C
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1 )^2 }[/tex]
with (x₁, y₁ ) = (12, - 10 ) and (x₂, y₂ ) = (0, - 6 )
d = [tex]\sqrt{(0-12)^2+(- 6-(-10))^2}[/tex]
= [tex]\sqrt{(-12)^2+(-6+10)^2}[/tex]
= [tex]\sqrt{144+4^2}[/tex]
= [tex]\sqrt{144+16}[/tex]
= [tex]\sqrt{160}[/tex]
= [tex]\sqrt{16(10)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{10}[/tex]
= 4[tex]\sqrt{10}[/tex]
Suppose you need some fast cash until payday which is two weeks away. You decide to take out a payday loan for $400 with a fee of $52. What is the APR on the loan?
APR=i(365÷n)
0.339%
O 3.39%
O 33.9%
O 339 %
Answers
The APR on a loan of $400 with a fee of $52 for two weeks is D) 339%.
What is the APR?The APR or the annual percentage rate refers to the interest rate and other finance fees charged on a loan for a year.
The annual percentage rate represents the actual yearly cost of funds over the term of a loan.
The total payday loan = $400
The fee paid for two weeks = $52
The loan period = 14 days (2 weeks)
The number of calendar days in a year = 365 days
The APR for the payday loan = 339% ($52/$400 x 365/14 x 100)
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Today, Francesca is going to an art museum to see a special exhibit. It takes Francesca 45 minutes to walk to the subway station. She will ride the subway for 1 hour and then walk 15 minutes to the art museum. If Francesca needs to be at the art museum by 8:25 A.M., what is the latest time she can leave her house?
Answers
Answer:
6:25 A.M.
Step-by-step explanation:
To solve this, we need to subtract the amount of time it takes her to get to the art museum altogether. To calculate this easier, first add 60 + 45 + 15 = 120. 120 minutes = 2 hours, so it takes her 2 hours to get to the museum starting from her house. Now subtract those 2 hours from the time 8:25 and we get 6:25. So, the latest time Francesca can leave her house is 6:25 A.M.
mean absolute deviation of 4 in daya set
6, 22, 14, 9, 11, 4
Answers
The mean absolute deviation of 4 in data set is -7
How to determine the valueFirst, we need to determine the value of the mean
We have from the information given that;
6, 22, 14, 9, 11, 4
Mean = sum of the given set of data/number of the data given
Substitute the values, we have that;
Mean = 6 + 22 + 14 + 9 + 11 + 4/6
add the values, we get
Mean = 66/6
Divide the values
Mean = 11
Mean absolute deviation = data value - mean
Mean absolute deviation = (4 -11) = -7
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A square with side length
�
cc has an area of
81
8181 square centimeters. The following equation shows the area of the square.
�
2
=
81
c
2
=81
Answers
The side length of the given square having an area of 81 cm² is 9cm.
Given side length of the square (c) = ?
The square with side length 'c' having an area of = 81 cm²
From the above line, we have given an equation. It is
c² = 81 cm²
We know that, the area of the square = side length²
So, to find out the side length of the square we have to find the "c" value.
C² = 81 cm²
C = √81 cm²
C = 9 cm.
From the above analysis, we can conclude that the given square is having a side length of 9cm.
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Given question is not having clear information. I am attaching the clear question below:
Kisiki and Jembe are riding on a circular path. Kisiki completes a round in 24 minutes whereas
Jembe completes a round in 36 minutes. If they both started at the same place and time and go in
the same direction, after how many minutes will they meet again at the starting point?
Answers
If they both started at the same place and time and go in the same direction, then Kisiki will meet Jembe again after they have both completed an equal number of rounds.
To find out how many minutes it will take for them to meet again at the starting point, we need to find the least common multiple (LCM) of 24 and 36.
The prime factors of 24 are 2, 2, 2, and 3. The prime factors of 36 are 2, 2, 3, and 3.
The LCM of 24 and 36 is 2 x 2 x 2 x 3 x 3 = 72.
This means that Kisiki and Jembe will meet again at the starting point after 72 minutes.
A spinner has eight equal sections labeled 1-8. The pointer lands on an even number 120 times out of 250 spins. Select all the true statements.
Answers
The true statements are given as follows:
B. The pointer lands on an even number less often than expected.
E. It is equally likely that the pointer will land on an even or odd number.
How to calculate a probability?
A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment/situation.
4 out of the 8 regions have even numbers, hence the theoretical (expected) probability of landing in an even number is given as follows:
p = 4/8 = 0.5 = 50%.
(division of the number of desired outcomes by the number of total outcomes).
The experimental (actual) probability of landing in an even number is given as follows:
p = 120/250 = 0.48 = 48%.
Hence the probability of an odd number is given as follows:
100 - 48 = 52%.
Missing InformationThe statements are:
A. The pointer lands on an even number more often than expected.
B. The pointer lands on an even number less often than expected.
C. The expected probability of landing on an even number is 54%.
D. The actual probability of landing on an odd number is 46%.
E. It is equally likely that the pointer will land on an even or odd number.
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PLEASE PLEASE HELP WILL MARK BRAINLIST!!!!!!!!!!!!
Answers
Answer: Where is the question
PLEASE HELP ASAP!!
Hui recorded the temperature at the same time each day for one month.
He found that the MAD for his data set was 4.3. What does this information tell you about the temperatures that Hui recorded?
Choose True or False for each statement.
The lowest temperature varied only 4.3 degrees from the mean temperature.
On most days the temperature varied about 4.3 degrees from the mean temperature.
No temperature varied more than 4.3 degrees from the mean temperature.
The highest temperature varied about 4.3 degrees from the lowest temperature.
Answers
The statements regarding the mean absolute deviation of 4.3 are classified as follows:
The lowest temperature varied only 4.3 degrees from the mean temperature. -> False.On most days the temperature varied about 4.3 degrees from the mean temperature -> True.No temperature varied more than 4.3 degrees from the mean temperature -> False.The highest temperature varied about 4.3 degrees from the lowest temperature -> True.How to define the mean absolute deviation of a data-set?To calculate the mean of a data-set, we add all the observations in the data-set, and then divide by the cardinality, which is the number of observations in the data-set. The concept of the mean is needed to calculate the mean absolute deviation.
Each deviation in a data-set is calculated the absolute value of the difference between the observation and the mean. As the absolute value is used, the set of observations contained the deviations is composed only by zero or positive values.
Hence the mean absolute deviation (MAD) applying the mean concept to the data-set containing the deviations, and represents the average by which the measures in the data-set differ from the mean.
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There's a negative correlation between coat sales and ice cream sales.
Which variable is most likely the lurking variable that explains the correlation?
Answers
The lurking variable that explains the negative correlation between coat sales and ice cream sales is likely to be temperature.
Given that there is a negative correlation between coat sales and ice cream sales.
The lurking variable that explains the negative correlation between coat sales and ice cream sales is likely to be temperature.
As the temperature drops, coat sales tend to increase while ice cream sales tend to decrease, and vice versa.
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Is this figure a polygon? Explain.
a series of lines, connected randomly
Answers
Answer:
No, this figure is not a polygon
Step-by-step explanation:
The following diagram shows triangle ABC, with AB=7 cm, AC=5 cm.
0 °
(a) Find the area of triangle ABC.
(b) Find cos (BAC).
(c) Find BC.
Answers
The diagram provided,
1. The area of the triangle is 14 cm².
2. cos(BAC) = 3/5.
3. BC = 4√2 cm.
How do we solve for the area of the triangle and other angles?Given AB = 7 cm, AC = 5 cm, and sin(BAC) = 4/5.
First, we find the height of the triangle using the sine of angle BAC. Since sin(BAC) = opposite/hypotenuse, we can say that
Sin BAC = 4/5 = h/AC
h = AC × 4/5 = 5 × 4/5 = 4
Area = 1/2 × AB × height
Area = 1/2 × AB × h = 1/2 × 7 × 4 = 14
sin²θ + cos²θ = 1
Cos BAC = √1-Sin²BAC = √1-(4/5) = 3/5
cos BAC = 3/5 = AD/AC
therefore AD = 3
the Pythagorean theorem, BC² = BD² + height²
BD = AB - AD = 7-3 = 4
BC = √BD² + h² = √4²+4² = 4√2
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What percent of date does the region shaded in white represent in a normal distribution?
25%
75%
50%
100%
PLEASE HELP!!!!
Answers
Answer:
50%
Step-by-step explanation:
You want to know the fraction of the area under the curve that is shaded white.
FractionThe white area is equal to the blue area, so represents 1/2 of the total area:
white = 1/(1+1) = 1/2 · 100% = 50%
50% of the total area is shaded white.
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Which of the following graphs is a polynomial function with x-intercepts of (-3, 0), (-1, 0), and (2, 0)?
Answers
Answer:
The answer is B
Step-by-step explanation:
The graph is a polynomial function of the x- intercepts
(-2, 0) (1, 0) and (4, 0)
The two-way table shows the type of lunches ordered by teachers and students in the cafeteria yesterday. Of the total people who ordered in the cafeteria yesterday, find the relative frequency of teachers to the nearest percent. Record your answer
on the grid.
Answers
The relative frequency of teachers to the total people who ordered in the cafeteria yesterday is 5.71%.
What is the relative frequency?The relative frequency shows the percentage of data distribution.
The relative frequency describes the number of times an event occurs divided by the total number of events occurring in the given scenario.
We can compute the relative frequency by dividing the chosen data value by the relevant total value, and multiplying by 100.
Type of Lunches
Teacher Student Total
Pizza 8 (209 -201) 201 (479 - 186 -92) 209
Sandwich 12 186 198 (Teacher = 12 (198 - 186)
Salad 9 92 101 (9 + 92)
Total 29 479 508 (29 + 479)
Type of Lunches
Teacher Student Total
Pizza 8 201 209
Sandwich 12 186 198
Salad 9 92 101
Total 29 479 508
Relative Frequency of teachers to the total in the cafeteria = 5.7086% (29 ÷ 508 x 100)
= 5.71%
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In Exercises 7 and 8, write a proof.
7. Given: TV = UW, TU > VW
Prove: m m
Answers
Given statement solution is :- m <m<angle TVU <angle VWU this inequality tells us that the sum of angles <V and <m<angle VWU must be less than 90 degrees, the contradiction proof is complete.
To prove that m <m<angle TVU <angle VWU, we can use the given information and the properties of angles formed by intersecting lines.
Given:
TV = UW (1)
TU > VW (2)
To Prove:
m <m<angle TVU <angle VWU
Proof:
Since TV = UW (given), we can conclude that <T and <U are corresponding angles.
Now, consider the triangle TVU. By the Triangle Sum Theorem, the sum of the measures of the interior angles in a triangle is 180 degrees. Therefore, we have:
<T + <V + <U = 180° (3)
Since <T and <U are corresponding angles, we can substitute their measures in terms of <m<angle TVU and <m<angle VWU:
<m<angle TVU + <V + <m<angle VWU = 180° (4)
From equation (4), we can isolate the terms <m<angle TVU and <m<angle VWU:
<m<angle TVU = 180° - (<V + <m<angle VWU) (5)
Now, let's focus on the triangle VWU. By the Triangle Inequality Theorem, the sum of the measures of any two sides of a triangle is always greater than the measure of the third side. Since TU > VW (given), we have:
TV + VW > TU (6)
Substituting TV = UW (from equation (1)), we get:
UW + VW > TU (7)
Now, consider the segment UV. By the Exterior Angle Theorem, the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. In this case, we have:
<m<angle TVU = <V + <m<angle VWU (8)
Combining equations (5) and (8), we have:
180° - (<V + <m<angle VWU) = <V + <m<angle VWU
Simplifying this equation, we get:
180° = 2(<V + <m<angle VWU)
Since the sum of two angles cannot exceed 180 degrees, we can conclude that:
180° - 2(<V + <m<angle VWU) > 0
Dividing both sides by 2, we have:
90° - (<V + <m<angle VWU) > 0
Adding (<V + <m<angle VWU) to both sides, we get:
90° > (<V + <m<angle VWU)
This inequality tells us that the sum of angles <V and <m<angle VWU must be less than 90 degrees. Therefore, we can conclude that:
m <m<angle TVU <angle VWU
Hence, the contradiction proof is complete.
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A bank offers an APR of 4.3% compounded daily. Find the annual percentage yield to the nearest 0.01% if the investment is $1000
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The annual percentage yield to the nearest 0.01% if the investment is $1000 is 4.43%
The annual percentage yield (APY) takes into account the effect of compounding on an investment. It is the actual annual rate of return earned on an investment, taking into account the effect of compounding. To calculate the APY, we need to use the following formula:
APY = (1 + (APR / n)) ^ n - 1
where APR is the annual percentage rate, and n is the number of compounding periods per year.
In this case, the APR is 4.3% and the compounding is daily. Therefore, we have:
n = 365 (number of days in a year)
APR = 4.3%
Using the formula above, we get:
APY = (1 + (0.043 / 365)) ^ 365 - 1
APY = 0.0443 or 4.43%
Therefore, the annual percentage yield is 4.43%, rounded to the nearest 0.01%. This means that if you invest $1000 at an APR of 4.3% compounded daily, you will earn an actual annual rate of return of 4.43% due to the effect of compounding.
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