Answer:
Step-by-step explana
To fill in the table, we can use the following formula:
Account value at end of year = (Initial investment + amount borrowed) x (1 + interest rate) x (1 + mutual fund return rate)
Let's first calculate the amount borrowed based on the margin level:
50% margin level: $1,000 x 50% = $500 borrowed
75% margin level: $1,000 x 75% = $750 borrowed
100% margin level: $1,000 x 100% = $1,000 borrowed
Now, let's use the formula to fill in the table:
Margin level Mutual fund return Account value in stellar market Account value in fair market Account value in terrible market
50% 40% $1,500 $1,050 $525
50% 5% $1,100 $1,027.50 $717.45
50% -30% $700 $665 $465
75% 40% $1,750 $1,225 $612.50
75% 5% $1,312.50 $1,221.88 $853.63
75% -30% $875 $831.25 $581.88
100% 40% $2,000 $1,400 $700
100% 5% $1,500 $1,400 $980
100% -30% $1,000 $950 $665
Note that the account value in each market scenario is lower than the initial investment plus the amount borrowed. This is because Ike has to pay back the borrowed amount with interest at the end of the year. The interest rate is 10%, so the account value has to be higher than the initial investment plus the amount borrowed by at least 10% in order to make a profit.tion:
To the nearest tenth, what is the value of x?
Answer:
34.1
Step-by-step explanation:
In this case we have supplementary information that is not required to find the length of [tex]x[/tex].
A screenshot is provided below with the other values.
Which measurement is the same for Charles and Jermod?
O median
Orange
Olower quartile
Oupper quartile
1
These dot plots show how many refutes Charles and Jermod spent on homework per day
for three weeks.
W
15 20 25 30 35 40 45 50 55 60
Charles's Homework (minutes per day)
..
15 20 25 30 35 40 45 50 55 60
Jermod's Homework (minutes per day)
Which measurement is the same for Charles and Jermod?
The measurement that is the same for Charles and Jermod is the median
How to find the Which measurement is the same for Charles and Jermod?The dot plots show the distribution of the number of minutes that Charles and Jermod spent on homework per day for three weeks. To determine which measurement is the same for both of them, we need to compare the dot plots.
Looking at the dot plots, we can see that both Charles and Jermod have a dot at 35 minutes, indicating that they both spent 35 minutes on homework on at least one day.
Therefore, the measurement that is the same for Charles and Jermod is the median, since it is the middle value of the data when arranged in order. In this case, the median is not clearly identifiable from the dot plots
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What is the interval in which both f (x) and g(x) are positive?
The interval in which both functions are positive is the one in option C.
(3, ∞)
In which interval are the two functions positive?First, when we have a graph, to identify when the function is positive we need to see when the graph of the function is above the horizontal axis.
So here we just need to see in which interval are both curves (orange one and blue one) are above the horizontal axis.
We can see that from x = 3 and above, both of the curves are above the horizontal axis, then the interval in which both functions are positive is:
(3, ∞)
So the correct option is C.
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On average, Americans consume 13.9 pounds of ice cream per person over an entire year. Ben loves ice cream, but limits himself to one 3-ounce (oz) serving each week. Find the difference between the amount of ice cream that Ben consumes compared to the national average. (1 pound equals to 16 ounces and there are 52 weeks in a year.)
Please help on question! If answers correct I'll reward with five stars , a thanks and maybe even brainliest!
Bob the builder is making 480kg of a concrete mix. Concrete is made by mixing cement , said and gravel in ratio 1:3:4.
How much sand does he need?
Answer:
x = the number of kg of cement
3x = number of kg of sand
4x = number of kg of gravel
x + 3x + 4x = 480
8x = 480, so x = 60
60 kg of cement
3(60) = 180 kg of sand
4(60) = 240 kg of gravel
Bob will need 180 kg of sand.
Write the equation in standard form for the circle that has a diameter with endpoints
(4,–7) and (–12,–7).
Answer:
To find the equation in standard form for the circle that has a diameter with endpoints (4,-7) and (-12,-7), we first need to find the center and radius of the circle.
The center of the circle is the midpoint of the diameter, which can be found using the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the diameter.
Using (4,-7) and (-12,-7) as the endpoint coordinates, we get:
Midpoint = ((4 + (-12))/2, (-7 + (-7))/2) = (-4, -7)
So the center of the circle is (-4, -7).
The radius of the circle is half the length of the diameter, which is:
Radius = 1/2 × distance between (4,-7) and (-12,-7)
Radius = 1/2 × (4 - (-12)) = 8
So the radius of the circle is 8.
Now we can write the equation of the circle in standard form:
(x - h)² + (y - k)² = r²
Where (h,k) is the center of the circle and r is the radius.
Substituting the values we found, we get:
(x - (-4))² + (y - (-7))² = 8²
Simplifying this equation, we get:
(x + 4)² + (y + 7)² = 64
Therefore, the equation in standard form for the circle that has a diameter with endpoints (4,-7) and (-12,-7) is (x + 4)² + (y + 7)² = 64.
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heeeeeeeeeeeeeeeeeeelp plssssss
To solve this problem, we need to first convert the distance on the map to actual distance using the map scale.
1 cm on the map represents 50,000 cm (or 500m) in actual distance.
So, 8.5 cm on the map represents 8.5 x 500m = 4,250m in actual distance.
Now, we can use the formula: time = distance ÷ speed
Here, distance = 4,250m and speed = 10km/h = 10,000m/h
So, time = 4,250m ÷ 10,000m/h = 0.425 hours
To convert hours to minutes, we can multiply by 60:
time = 0.425 x 60 = 25.5 minutes
Therefore, it will take Myra 25.5 minutes to run from the park entrance to the beach.
n
The measures of the angles of a triangle are shown in the figure below. Solve for x.
$2°
34
Answer: The angle is 105 degrees
Step-by-step explanation:
In a triangle, there is 180 degrees total. To find x, we can do....
x = 180 - 41 - 34
x = 105
5. Jordan is putting his
blocks away. He measures
one block and discovers it
is 5 cm long, 3 cm wide,
and 1 cm tall. If he is
planning to put all the
blocks into a bin that has a
volume of 370 cm³, how
many blocks will fit?
PLEASE HELP WILL MARK BRAINLIEST
Q6: A fishing boat sails in a direction of 024° for 30 km from a port P, and then in a direction of 114° for 20 km. a) Draw a diagram please.
len Love: by Can Themba
Your response should be 80-100 words in length.
The is story about two people who loved each other deeply and had
to hide their feelings. Micheal is black and Dora is coloured.
The two lovers are eventually exposed when Dora's little brother
Bobby is told at his school that his sister is in a relationship with a
native.
A fight follows and Menner Carelse (school teacher) who is in love
with Dora finds out. He tries to convince the Principal that her family
must be told, and much against the Principal's wishes, he goes to
tell the whole community about what they considered "scandal".
Put yourself in Dora's shoes and write TWO diary entries on
how she feels about the meeting between the two families. One
entry must express her feelings. BEFORE Micheal's beating by
Davie and his friends. The other must express how she felt
AFTER Salome presents evidence in the form of love letters
that Davie has written to her.
[20]
Y-3=2(x-6) what point does this line pass through? What is the slope of this line ? Rewrite the equation in slope intercept form
Answer:
This line passes through (0, -9)
Slope = 2
y = 2x-9
Step-by-step explanation:
Slope intercept form is : y=mx+b (m = slope, b= y-intercept)
First, let's distribute the 2 to the (x-6).
y-3 = 2x-12
Second, set it into slope intercept form (y = mx+b) by adding 3 to both sides.
y = 2x-9
This will be the equation in slope intercept form.
After looking at the the slope intercept form, we know that m = the slope. So the since the 2 is in the place of m when in slope intercept form, m=2. this would mean that the slope = 2.
Y-intercept is the point when the line touches the y-axis. To find the y-intercept, x would have to equal 0. This would mean that the point would have to be (0, y). After looking at the slope intercept form, and comparing it with our equation in slope intercept form, we know that -9 is in the place of b. This would mean that b = -9. This would also mean that the y-intercept is equal to -9. Therefore, the point would be (0, -9).
please help me with my geometry i cant fail this class or i’ll have to move out of my parents house :(
The values of all the solutions are,
16) m QT = 142 deg
17) m ∠STR = 23 deg
18) m ∠RSQ = 19 deg
Given that;
A circle is shown.
Now, We can formulate;
16|) The value of m QT is,
m QT = 2 ∠QST
= 2 × 71
= 142 degree
17) The value of m ∠STR is,
m ∠STR = 1/2 m ∠SXR
= 1/2 × 46
= 23 deg
17) Since, ∠ RST = 90°
Then, We get;
m ∠RSQ = 90 - ∠QST
= 90 - 71
= 19 degree
Thus, The values of all the solutions are,
16) m QT = 142 deg
17) m ∠STR = 23 deg
18) m ∠RSQ = 19 deg
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URGENT
Please help
Will mark brainiest
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X=14), n=19, p=0.8
The probability of obtaining 14 successes in 19 trials with a probability of success of 0.8 is approximately 0.1025.
How to find the probabilitiesUsing the binomial probability formula:
P(X = 14) = (n choose k) * p^k * (1-p)^(n-k)
where n is the number of trials,
p is the probability of success, and
k is the number of successes.
Plugging in the given values, we have:
P(X = 14) = (19 choose 14) * 0.8^14 * (1-0.8)^(19-14)
P(X = 14) = 0.1025 (rounded to four decimal places)
Therefore, the probability of obtaining 14 successes in 19 trials with a probability of success of 0.8 is approximately 0.1025.
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Determine the number of real solutions:
1. y=-3x^2+x+12
Answer:
2
Step-by-step explanation:
To determine the number of real solutions of the quadratic equation `y = -3x^2 + x + 12`, we can use the discriminant formula `b^2 - 4ac`.
First, we identify the values of a, b, and c:
a = -3
b = 1
c = 12
Next, we substitute these values into the discriminant formula:
b^2 - 4ac = (1)^2 - 4(-3)(12) = 145
Since the discriminant is positive (and not equal to zero), the quadratic equation has two distinct real roots. Therefore, the number of real solutions is 2.
CAN SOMEONE PLEASE HELP ME ASAPPPPPPPPP
Answer:
216 in. 3
Step-by-step explanation:
math ...
A real estate sells houses for Birr 200,000 plus Birr 400 per one square metre. a Find the function that represents the cost of the house that has an area of x m². Calculate the cost of the house that has an area of 80 m².
Step-by-step explanation:
Cost of house = Birr ( 200 000 + 400 x ) where x is square meters
for 80 m^2 cost = Birr ( 200 000 + 400(80)) = Birr 232000
Helppppp pleaseeeeee
The reduced row echelon form of the matrix is given as follows:
[tex]\left[\begin{array}{cccc}1&0&0&-7\\0&1&0&2\\0&0&1&4\end{array}\right][/tex]
How to obtain the reduced row echelon form?The row echelon form of a matrix contains the entire matrix except the last column in the format of an identity matrix, with the last column containing the solution to the system of equations represented by the matrix.
Considering the matrix, the system of equations is given as follows:
7x - y - 3z = -63.-6y - 2z = -20.y + z = 6.Multiplying the last equation by 2 and adding with the second equation, the value of y is obtained as follows:
-4y = -8
4y = 8
y = 2.
The value of z is given as follows:
z = 6 - y
z = 4.
The value of x is given as follows:
7x = -63 + y + 3z
7x = -63 + 2 + 14
7x = -49
x = -7.
Hence the row-echelon form of the matrix is given as follows:
[tex]\left[\begin{array}{cccc}1&0&0&-7\\0&1&0&2\\0&0&1&4\end{array}\right][/tex]
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Calcula la medida de la altura de un triángulo equilátero del lado 6
The measure of the height of an equilateral triangle with a side length of 6 is 3√3.
We have,
In an equilateral triangle, all three sides are equal, and all three angles are also equal.
To calculate the height of an equilateral triangle, we can use the formula:
Height = (√3 / 2) x side
Given that the side length of the equilateral triangle is 6, we can substitute this value into the formula to find the height:
Height = (√3 / 2) x 6
Height = (√3) x 3
Simplifying, we have:
Height = 3√3
Therefore,
The measure of the height of an equilateral triangle with a side length of 6 is 3√3.
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The complete question.
Calculate the measure of the height of an equilateral triangle of side 6
The temperatures at midday on March 1st in five cities are shown in the
bar chart below.
12
a)
Temperature C
10
8
CO
1
London Paris Munich Rome Oslo
What is the
difference in
temperature
between Rome
and Munich?
b) The temperature
in Oslo rises by
5°C over the next
6 hours.
What is the
temperature in
Oslo at 6pm?
The temperature difference between Rome and Munich is [tex]2[/tex]°C in the first case.
a) To find the difference in temperature between Rome and Munich, we compare their respective temperatures on the bar chart. Let's assume the temperatures on the chart are represented by the heights of the bars. From the chart, the temperature in Rome is [tex]10[/tex]°C, and the temperature in Munich is [tex]8[/tex]°C.
The difference in temperature between Rome and Munich can be calculated as the absolute difference between their values:
[tex]\[ \text{Difference in temperature} = |10 - 8| = 2°C \][/tex]
Therefore, the temperature difference between Rome and Munich is [tex]2[/tex]°C.
b) If the temperature in Oslo rises by [tex]5[/tex]°C over the next [tex]6[/tex] hours, we can add this increase to the current temperature in Oslo to determine the temperature at [tex]6[/tex] pm. However, the initial temperature in Oslo is not provided in the information given.
Without the initial temperature, we cannot calculate the specific temperature at [tex]6[/tex] pm.
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Select the correct answer. Which logarithmic equation correctly rewrites this exponential equation? 8x = 64 A. log8 64 = x B. log8 x = 64 C. log64 8 = x D. logx 64 = 8 Reset Next
The Exponential equation is 8x = 64. the correct answer is option A: log8 64 = x.
The exponential equation is 8x = 64.
To rewrite the exponential equation in logarithmic form, we use the following format:
log base a of b = c if and only if ac = b
Here, the base is 8 and the result is 64.
So, we can rewrite the equation as:
log8 64 = x
Therefore, the correct answer is option A: log8 64 = x.
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The following data has been collected from the Paper Company. The data collected concerned the employees' favorite cell phone carrier. Of the 500 employees in the company, 200 were surveyed. The results are below:
Verizon: 105
Sprint: 55
AT&T: 40
How many employees were part of the random sampling?
500 employees
150 employees
200 employees
300 employees
URGENT
A pyramid is
Group of answer choices
the total area of the surface of a solid figure.
a pattern of two-dimensional shapes that can be folded to make a model of a solid figure.
a solid figure with a base that is a polygon and sides that are triangles that meet at the top.
any one of the individual surfaces of a solid object.
A pyramid is a solid figure with a base that is a polygon and sides that are triangles that meet at the top.
Answer: A solid figure with a base that is a polygon and sides that are triangles that meet at the top.
Step-by-step explanation: A pyramid consists of a polygonal base and sides that are triangles. A polygon is a 2D shape that only has straight lines that enclose an area.
Among 100 college students, 80 said they study 12 or more hours per week while the rest said they did not. What is the ratio of those students who study at least 12 hours per week to those that do not?
Answer: The ratio is 4:1
o = 6.5 cm, ∠P=88° and ∠N=83°. Find the area of ΔNOP, to the nearest 10th of a square centimeter.
The area of the triangle ∆NOP is derived to be 133.9 square centimeter to the nearest tenth using the sine rule.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side. It states that for any triangle ABC, the ratio of the length of a side to the sine of the angle opposite that side is constant, that is;
a/sinA = b/sinB = c/sinC
where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the angles opposite those sides.
angle m∠O = 180 - (83 + 88) {sum of interior angles of a triangle}
angle m∠O = 9°
Using the sine rule;
6.5/sin9 = ON/sin88
ON = (6.5 × sin88°)/sin9 {cross multiplication}
ON = 41.5
Area of the triangle = 1/2 × 6.5cm × 41.5cm × sin83
Area of the triangle = 133.9
Therefore, the area of the triangle ∆NOP is derived to be 133.9 square centimeter to the nearest tenth using the sine rule.
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You are standing 190 meters away from the base of a building. The angle of elevation to the top of the
building is 25°. What is the height of the building?
Answer:
Step-by-step explanation:here it is. you did not say which grade ...
but hoping ok method .
how do you solve 3/(n-1) = 2n/(n+4)
Step-by-step explanation:
To solve the equation 3/(n-1) = 2n/(n+4), follow these steps:
Step 1: Cross-multiply to eliminate the fractions.
3 * (n + 4) = 2n * (n - 1)
Step 2: Distribute the terms on both sides.
3n + 12 = 2n^2 - 2n
Step 3: Move all terms to one side and set the equation to zero.
2n^2 - 5n - 12 = 0
Step 4: Factor the quadratic equation, if possible. In this case, we can factor by finding two numbers that multiply to -24 and add to -5.
(2n + 3)(n - 4) = 0
Step 5: Use the zero-product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
2n + 3 = 0 or n - 4 = 0
Step 6: Solve for 'n' in each equation.
2n + 3 = 0 => n = -3/2
n - 4 = 0 => n = 4
So, there are two possible solutions for 'n': -3/2 and 4.
Answer: n= 4 , (-3/2)
Step-by-step explanation:
Your goal is to isolate n by getting it by itself
Multiply both sides by (n-1) to get 3 = ((2n)(n-1))/(n+4)
Use distributive property on the 2n * (n-1) to get 3 = (2n^2 - 2n)/(n+4)
Multiply both sides by (n+4) to get 3n + 12 = 2n^2 - 2n
Subtract 12 and 3n from both sides to get 2n^2 - 5n -12 = 0
Solve the quadratic using any method you like
Factoring would give you (n - 4)(2n + 3) = 0
So n= 4 and -3/2
Two lines AB and CD intersect each other at O.If angle AOD = 120 deg . BOC=3y. < BOD = 2x then find (x + y)
The value of x + y = 70 when 2 lines AB and CD intersect each other at O. If angle ∠AOD = 120 degree, ∠BOC=3y and ∠BOD = 2x.
Given that,
AB and CD 2 lines intersect each other at O. If angle ∠AOD = 120 degree, ∠BOC=3y and ∠BOD = 2x.
We have to determine the value of (x + y).
We know that,
In the picture we can see the two lines AB and CD intersect each other at O.
So,
From line AB a straight line has 180°.
Then ∠AOD + ∠DOB = 180°
120° + 2x = 180°
2x = 180° - 120°
2x = 60
x = [tex]\frac{60}{2}[/tex]
x = 30°
Then ∠DOB = 2x = 2(30) = 60°
And by vertically opposite angles ∠AOD = ∠COB
120° = 3y
3y = 120°
y = [tex]\frac{120}{3}[/tex]
y = 40°
Then ∠COB = 120°
So,
Now, x + y = 30 + 40 = 70
Therefore, The value of x + y = 70
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A geometric pattern is made using 17 triangles and squares. If the triangles and squares have a total of 64 sides how many triangles were used
Answer:
Let s be the number of squares and t be the number of triangles.
s + t = 17---->4s + 4t = 68
4s + 3t = 64---->4s + 3t = 64
----------------- -----------------
t = 4, s = 13
4 triangles, 13 squares
4(x - 7) in.
2(10 - x) in.
What is the value of x?
3 in. What is the value of X
The value of x, considering the rectangle given at the end of the answer, is given as follows:
x = 8.
How to obtain the value of x?From the rectangle given at the end of the answer, the bases are given as follows:
4(x - 7)2(10 - x).For a rectangle, the bases are congruent, meaning that they have the same measure.
Considering that the bases are congruent, the value of x is obtained as follows:
4(x - 7) = 2(10 - x)
4x - 28 = 20 - 2x
6x = 48
x = 48/6.
x = 8.
Missing InformationThe rectangle is given by the image presented at the end of the answer.
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