The probability that the hospital has 7 fatalities this week is approximately 0.0199
The probability that the hospital has 7 fatalities in a week, given an average of 7 fatalities per week, can be calculated using the Poisson distribution. The Poisson distribution is a discrete probability distribution that models the number of events (in this case, fatalities) that occur in a fixed interval of time (in this case, a week) with a certain average rate (in this case, 7 fatalities per week). The probability of k events happening in a given interval of time is given by the following formula:
P(k;λ) = (e^(-λ))*(λ^k)/k!
Where λ is the average number of events per interval of time and k is the number of events we are interested in.
In this case, we are looking for the probability that there are 7 fatalities this week, given that the average number of fatalities per week is 7. So we can plug in the values into the equation:
P(7;7) = (e^(-7))(7^7)/7! =0.149
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Pls help yes yes yes yes
The total cost of materials needed to build the house is $4374.75.
How to determine total cost?Calculate the area of the front and back of the house.
Area = Length x Width
Area = 3.5 m x 2.5 m = 8.75 m²
Calculate the area of the sides of the house.
Area = 2 x Length x Height
Area = 2 x 3.5 m x 5 m = 35 m²
Calculate the total cost of glass.
Cost of glass = Area x Cost per square meter
Cost of glass = 8.75 m² x $37 / m² = $323.75
Calculate the total cost of roof tiles.
Cost of roof tiles = Area x Cost per square meter
Cost of roof tiles = 35 m² x $95 / m² = $3325
Calculate the total cost of reinforcement metal.
Cost of reinforcement metal = Perimeter x Cost per meter
Cost of reinforcement metal = 2 x (Length + Width) x $54 / m = $726
Add the costs of glass, roof tiles, and reinforcement metal to get the total cost of materials.
Total cost = $323.75 + $3325 + $726 = $4374.75
Therefore, the total cost of materials needed to build the house is $4374.75.
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need help my dad owns this app
The volume of the solid is given as follows:
55 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The total volume would be given as follows:
V = 9 x 6 x 1.25
V = 67.5 ft³.
The volume of the removed part is given as follows:
V = 1.25 x 2.5 x (9 - 3 - 2)
V = 12.5 ft³.
Hence the volume of the solid is given as follows:
67.5 - 12.5 = 55 ft³.
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how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The amount of money that will produce Rs. 15000 at the end of 6 month for 10years at 16% is Rs. 3750
What is Compound interest?Compound interest is the interest you earn on interest.
For example, if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.
Compound interest is expressed as;
A = P( 1+r/n) ^{nt}
where A is the amount
n is the number of time its compounded
t is time
A = 15000
r = 16/100 = 0.16
n = 6/12 = 0.5
t = 10 years
15000 = P( 1 + 0.16/0.5) ^{ 0.5× 10}
15000 = P( 1 + 0.32)⁵
15000 = P( 1.32)⁵
15000 = 4P
P = 15000/4
P = Rs. 3750
Therefore the amount that will be deposited to give Rs. 15000 is Rs. 3750.
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At Chairs and More, assemblers are paid according to the following differential piece rate scale: 1−25 chairs in a week, $10 each; 26−40 chairs, $13 each; and $17.50 each for every chair over 40. Salina Grant assembled 47 chairs in one week. Find her gross pay.
Salina Grant's gross pay for assembling 47 chairs in one week at Chairs and More is $567.50.
To calculate Salina Grant's gross pay, we need to determine the pay for each range of chairs assembled and sum them up.
Let's break down the calculation based on the given differential piece rate scale:
1-25 chairs: $10 each
Salina assembled 25 chairs in this range, so the pay for this range is
25 * $10 = $250.
26-40 chairs: $13 each
Salina assembled 15 chairs in this range, so the pay for this range is
15 * $13 = $195.
Chairs over 40: $17.50 each
Salina assembled 47 chairs in total, and since she already assembled 25 chairs in the first range and 15 chairs in the second range, the number of chairs in this range is
47 - 25 - 15 = 7 chairs.
The pay for this range is
7 * $17.50 = $122.50.
Now, let's sum up the pay for each range to find Salina Grant's gross pay:
$250 + $195 + $122.50 = $567.50
Therefore, Salina Grant's gross pay for assembling 47 chairs in one week at Chairs and More is $567.50.
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Will give brainlist
In(5400) + P X Ln30 + q X Ln360+r X Ln270
Find (P,Q,R) when they are real numbers
Pls show work
The solution for (P, Q, R) in the given equation (5400) + P x Ln30 + Q x Ln360 + R x Ln270, where P, Q, and R are real numbers, is (0, 0, 0). The correct solution is that P = Q = R = 0.
How did we get the values?To find the values of P, Q, and R in the equation (5400) + P x Ln30 + Q x Ln360 + R x Ln270, use the properties of logarithms and solve the equation.
First, simplify the equation:
5400 + P x Ln30 + Q x Ln360 + R x Ln270
Next, express the logarithmic terms using their corresponding exponential forms:
5400 + P x Ln(30) + Q x Ln(360) + R x Ln(270)
= 5400 + P x Ln(2 x 3 x 5) + Q x Ln(2² x 3² x 5) + R x Ln(2 x 3³ x 5)
Using the properties of logarithms, we can rewrite the equation as follows:
5400 + P x (Ln(2) + Ln(3) + Ln(5)) + Q x (2 x Ln(2) + 2 x Ln(3) + Ln(5)) + R x (Ln(2) + 3 x Ln(3) + Ln(5))
Now, let's group the logarithmic terms together:
5400 + P x Ln(2) + P x Ln(3) + P x Ln(5) + Q x (2 x Ln(2) + 2 x Ln(3)) + Q x Ln(5) + R x Ln(2) + R x 3 x Ln(3) + R x Ln(5)
Simplifying further:
5400 + (P + 2Q + R) x Ln(2) + (P + 2Q + 3R) x Ln(3) + (P + Q + R) x Ln(5)
Then, the equation:
5400 + (P + 2Q + R) x Ln(2) + (P + 2Q + 3R) x Ln(3) + (P + Q + R) x Ln(5) = 0
Since this equation holds for all real numbers P, Q, and R, the coefficients of Ln(2), Ln(3), and Ln(5) must be equal to zero:
P + 2Q + R = 0 (1)
P + 2Q + 3R = 0 (2)
P + Q + R = 0 (3)
There is a system of three equations (equations 1, 2, and 3) with three unknowns (P, Q, and R). To solve this system, use any method such as substitution or elimination.
Subtracting equation (3) from equation (2), we get:
(P + 2Q + 3R) - (P + Q + R) = 0 - 0
2Q + 2R = 0
2Q = -2R
Q = -R/2 (4)
Substituting equation (4) into equations (1) and (3), we can solve for P and R:
P + 2Q + R = 0 (1)
P + (-R) + R = 0 (3)
P - R = 0
From equation (3), P = R.
Substituting P = R into equation (4):
Q = -R/2
Since P = R and Q = -R/2. Let's substitute these values back into the equations to find the final solution.
Substituting P = R and Q = -R/2 into equation (1):
P + 2Q + R = 0
R + 2(-R/2) + R = 0
R - R + R = 0
0 = 0
Equation (1) holds true for any real value of R.
Substituting P = R and Q = -R/2 into equation (2):
P + 2Q + 3R = 0
R + 2(-R/2) + 3R = 0
R - R + 3R = 0
3R = 0
R = 0
So, R = 0.
Substituting R = 0 into Q = -R/2:
Q = -R/2
Q = 0/2
Q = 0
Finally, substituting R = 0 into P = R:
P = R
P = 0
Therefore, the solution for (P, Q, R) in the given equation (5400) + P x Ln30 + Q x Ln360 + R x Ln270, where P, Q, and R are real numbers, is (0, 0, 0). The correct solution is that P = Q = R = 0.
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17 in. 16 in. 14 in.
The surface area of the rectangular prism is 1468 square inches
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
17 in by 16 in by 14 in
The surface area of the rectangular prism is calculated as
Area = 2 * (17 * 16 + 17 * 14 + 16 * 14)
Evaluate
Area = 1468
Hence, the area is 1468 square inches
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Question
What is the surface area of this rectangular prism?
17 in. by 16 in. by 14 in.
Pleaseee help me I’ve been stuck on this fool like 30 minutes can’t miss this or I restart the whole lesson pleease help
The properties of equality that shows justification of how the equation is solved is explained below.
How to Apply the Properties of Equality to Solve an Equation?Given the equation, 17/3 - 3/4x = 1/2x + 5, we have the following steps and justification which explains the property of equality that was used:
17/3 - 3/4x = 1/2x + 5 [given]
17/3 - 3/4x - 17/3 = 1/2x + 5 - 17/3 [subtraction property of equality]
3/4x = 1/2x - 2/3 [simplification]
3/4x - 1/2x = 1/2x - 2/3 - 1/2x [subtraction property of equality]
-5/4x = -2/3 [simplification]
-5/4x * -4/5 = -2/3 * -4/5 [multiplication property of equality]
x = 8/15 [simplification]
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Find the sum below. Explain how you got this answer
-11 + 3 + 10 + (-25) + 48 =
Answer:
25
Step-by-step explanation:
There are only additions, so do each addition, in the order it appears, from left to right.
-11 + 3 + 10 + (-25) + 48 =
= -8 + 10 + (-25) + 48
= 2 + (-25) + 48
= -23 + 48
= 25
Please help me with this I am on the verge of giving up because of it. Simplify and rationalize the denominnator, the answer should not have negative exponents
The exponential value equation is A = 1/√x = 1/x^(-1/2)
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = x ^ ( 1/6 ) / x ^ ( 2/3 )
On simplifying , we get
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
So , A = x ^ ( 1/6 - 2/3 )
On further simplification , we get
A = x ^ ( -3/6 )
A = x ^ ( -1/2 )
So , the value of A is
A = 1/√x
Hence , the exponential equation is solved
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i need some help here
The value of x, considering the Pythagorean Theorem, is given as follows:
x = 9.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.The sides for the problem are given as follows:
15 and 8 (segment of 8 is the radius, which is the distance from the center to a point on the circumference of the circle).
Hence the hypotenuse is obtained as follows:
h² = 15² + 8²
h² = 289
h = 17.
Hence the value of x is obtained as follows:
x = 17 - 8
x = 9.
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Help me please answer is not A
Answer:
B) 16.47
Step-by-step explanation:
In order to find the mean of grouped data with intervals, we use the formula
(∑f * m) / (∑f)
where (∑f * m) is the sum of the product of each frequency (f) and the corresponding midpoint (m) for its interval and (∑f is the sum of each frequencyStep 1: First, we need to find the sum of the frequencies: ∑f = 2 + 3 + 8 + 4 = 17
Step 2: Next, we need to find the midpoint (m) of each interval. We do this by averaging the end points of each interval
m of first interval: (9.5 + 12.5) / 2 = 11
m of second interval: (12,5 + 15.5) / 2 = 14
m of third interval: (15.5 + 18.5) / 2 = 17
m of fourth interval: (18.5 + 21.5) / 2 = 20
Step 3: Now, we multiply the frequency for each interval by its corresponding midpoint and add them together to find the sum
f * m for first interval: (2 * 11) = 22
f * m for second interval: (3 * 14) = 42
f * m for third interval: (8 * 17) = 136
f * m for fourth interval: (4 * 20) = 80
Sum of f * m for each interval: 22 + 42 + 136 + 80 = 280
Step 4: Finally, we divide the sum of f * m for each interval by the sum of f to find the mean:
280 / 17 = 16.47058824 = 16.47
The weight (in kilograms) of 14 patients were measured as 59, 63, 61, 62, 58, 60, 58, 57, 57, 56, 50, 69, 58 and 50. What is the range weight (in kilograms) of these patients?
Answer:
57 kilograms. .........................................................................kg
HELP ASAP PLEASE
LATE ASSIGNMENT
The measure of angle ABC is given as follows:
m < ABC = 55º.
How to obtain the measure of angle ABC?First we look to the exterior angle of angle C in the bottom parallel line, as a ray is formed, hence the missing angle measure is given as follows:
50 + 75 + x = 180
125 + x = 180
x = 55º.
The exterior angle relative to angle B is supplementary with the angle of 55º, as they are consecutive angles, hence it’s measure is obtained as follows:
y + 55º = 180
y = 125º.
By the exterior angle theorem, an interior angle is supplementary with it’s respective exterior angle, hence the measure of angle ABC is given as follows:
m < ABC + 125 = 180
m < ABC = 55º.
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What is the value of x?
Answer:
x = 24.5
Step-by-step explanation:
27/(x + 7) = (27 - 6)/x
27x = (x + 7)(21)
27x = 21x + 147
6x = 147
x = 24.5
Answer:
x = 31.5
Step-by-step explanation:
given a line parallel to a side of a triangle and it intersects the other two sides then it divides those sides proportionally , that is
[tex]\frac{6}{27-6}[/tex] = [tex]\frac{7}{x}[/tex]
[tex]\frac{6}{21}[/tex] = [tex]\frac{7}{x}[/tex] ( cross- multiply )
6x = 21 × 7 = 147 ( divide both sides by 6 )
x = 24.5
How many variables are in the expression.
8d²+2bc+ 10ab
1
2
3
4
There are 4 variables in the expression 8d² + 2bc + 10ab
How to determine the number of variables in the expressionFrom the question, we have the following parameters that can be used in our computation:
8d²+2bc+ 10ab
Express properly
So, we have
8d² + 2bc + 10ab
Consider an expression ax + by where the variable is a and b are constants
The variables in the expression are x and y
Using the above as a guide, we have the following:
The variables in the expression 8d² + 2bc + 10ab are a, b, c and d
This means that there are 4 variables in the expression
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how do i find find the distance
The value of distance of two points shown in figure is,
⇒ d = √20
We have to given that;
Two points on graph are,
(0, 1) and (2, - 3)
Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, The distance of two points shown in figure is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
⇒ d = √ (2 - 0)² + (-3 - 1)²
⇒ d = √4 + 16
⇒ d = √20
Thus, The value of distance of two points shown in figure is,
⇒ d = √20
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What is the value of x?
Solving a simple equation, we can see that x = 35.
How to find the value of x?The 3 lines with an arrow that go to the left are parallel lines, thus, the relation between the sets of values in each of the sides must be the same ones.
Then we can take the quotients between the respective values, and these quotients must be equal, so we can write:
30/12 = x/14
And now we can solve that equation for x, we will get:
x = 14*(30/12)
x = 35
That is the value of x.
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lim[tex]\frac{n^{2} +4n-5}{3n^{3}+n^{2}+7 }[/tex]
Step-by-step explanation:
limit for n going to what ?
I think you mean n going to ±infinity.
for very large n (when n goes to infinity) such a fraction is reduced to the ratio of the terms with the highest exponents of n. the terms with lower exponents simply get less and less impact with growing n, and fade away for really, really large n going to infinity.
so, this limit evaluation is reduced to
lim n²/(3n³ + n²) = 1/(3n + 1)
which is again for very large n
lim 1/(3n), which goes to 1/infinity = 0
the same for going to 1/-infinity = 0
if you meant e.g. limit for n going to 0, then for the limit we set n to 0 and see, that all terms are turning 0, except for the constants -5 in the numerator and +7 in the denominator.
so, that limit is then
-5/7 = -0.714285714...
Anybody know this? Find the first four terms of the sequence t/n=n(6n-2) the n is below the t btw
The first four terms of the sequence t/n = n(6n - 2) are: 4, 20, 48, 88.
How to find st four terms of the sequenceLet's substitute n = 1:
t/1 = 1(6(1) - 2)
t = 1(6 - 2)
t = 4
The first term of the sequence (when n = 1) is 4.
Now, let's substitute n = 2:
t/2 = 2(6(2) - 2)
t = 2(12 - 2)
t = 2(10)
t = 20
The second term of the sequence (when n = 2) is 20.
Next, let's substitute n = 3:
t/3 = 3(6(3) - 2)
t = 3(18 - 2)
t = 3(16)
t = 48
The third term of the sequence (when n = 3) is 48.
Lastly, let's substitute n = 4:
t/4 = 4(6(4) - 2)
t = 4(24 - 2)
t = 4(22)
t = 88
The fourth term of the sequence (when n = 4) is 88.
Therefore, the first four terms of the sequence t/n = n(6n - 2) are: 4, 20, 48, 88.
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A right triangle has side lengths 45 millimeters, 108 millimeters, and 117 millimeters. What is the length of the hypotenuse and why?
117 millimeters, because it is listed last.
117 millimeters, because the hypotenuse is the longest side.
45 millimeters, because 45 is half of 90 and a right angle is 90°.
45 millimeters, because the hypotenuse is the shortest side.
Submit
The length of the hypotenuse of the given right triangle is 117 millimeters because it is the longest side and it satisfies the conditions of the Pythagorean theorem.
The length of the hypotenuse of a right triangle with side lengths 45 millimeters, 108 millimeters, and 117 millimeters is 117 millimeters.
The hypotenuse of a right triangle is always the side opposite the right angle, and it is the longest side in a right triangle.
In this case, the side lengths are given as 45 millimeters, 108 millimeters, and 117 millimeters.
By comparing the lengths, we can see that 117 millimeters is the longest side, which makes it the hypotenuse.
To further understand why the hypotenuse is the longest side, we can refer to the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Mathematically, it can be written as c² = a² + b²,
where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
In this case, if we square the lengths of the sides, we get 45² = 2025, 108² = 11664, and 117² = 13689.
By comparing these values, we can see that 13689 is the largest, which corresponds to the length of the hypotenuse, 117 millimeters.
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Tell whether the given value is a solution to the inequality.
y + 5 > 8l; y = 1
The solution of the inequality equation is determined as y > 3.
What is the solution of the inequality equation?A solution for an inequality in y is a number such that when we substitute that number for y we have a true statement.
For the given inequality equation, which is;
y + 5 > 8
The solution of the inequality equation is calculated as follows;
y + 5 > 8
Subtract 5 from both sides of the equation as shown below;
y + 5 - 5 > 8 - 5
y > 3
The solution of the inequality equation is determined as 3, so we can conclude that any value less than 3 is not true and the proposed solution of 1 is not true or correct for the inequality equation.
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Which transformation maps △UVW to △EFG?
A. (x, y) ⟶ (0.5x, 0.5y)
B. (x, y) ⟶ (–0.5x, 0.5y)
C. (x, y) ⟶ (2x, 2y)
D. (x, y) ⟶ (–2x, 2y)
Based on the analysis, the correct transformation that maps triangle △UVW to triangle △EFG is option C: (x, y) ⟶ (2x, 2y), which represents an enlargement or dilation of the figure.
To determine which transformation maps triangle △UVW to triangle △EFG, we need to analyze the given options and understand the effects of each transformation.
A. (x, y) ⟶ (0.5x, 0.5y):
This transformation scales the coordinates of a point by a factor of 0.5 in both the x and y directions.
It represents a reduction or contraction of the figure.
Triangle △UVW would be scaled down to a smaller size, so option A is not the correct transformation.
B. (x, y) ⟶ (–0.5x, 0.5y):
This transformation reflects the coordinates of a point across the y-axis and scales the x-coordinate by a factor of -0.5 and the y-coordinate by a factor of 0.5.
It represents a reflection and scaling.
Triangle △UVW would be reflected across the y-axis and scaled, which does not match the transformation to △EFG.
Therefore, option B is not the correct transformation.
C. (x, y) ⟶ (2x, 2y): This transformation scales the coordinates of a point by a factor of 2 in both the x and y directions.
It represents an enlargement or dilation of the figure.
Triangle △UVW would be scaled up to a larger size, which aligns with the transformation to △EFG.
Therefore, option C could be the correct transformation.
D. (x, y) ⟶ (–2x, 2y):
This transformation reflects the coordinates of a point across the x-axis and scales the x-coordinate by a factor of -2 and the y-coordinate by a factor of 2.
It represents a reflection and scaling.
Triangle △UVW would be reflected across the x-axis and scaled, which does not match the transformation to △EFG.
Thus, option D is not the correct transformation.
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20 POINTS HELPPPPPPPP!!!!!!!
Find the vertex, the axis of symmetry, and the y-intercept of the graph.
vertex: (_,_)
axis of symmetry: x=_
y-intercept:_
TTYYYYYYY<3333333333
A bulb manufacturer claims that the lives of its bulbs are normally distributed with a mean of 8000 hours and a standard deviation of 400 hours. A random sample of 16 bulbs had an average life of 7920 hours. If the manufacturer’s claim is correct,
a. What is the sampling distribution of the sample mean? Sketch the normal distribution. Show the mean and s.d. in the figure.
b. what is the probability of finding a sample mean of 7920 or less? Show the probability in the figure mentioned above.
Solve for b
Y=1/3x+b
Answer:
(3xy - 1)/3x = b
Step-by-step explanation:
make b the subject of formula
then simply it
did you get it
Answer:
b=Y-x/3
Step-by-step explanation:
Solve for b by simplifying both sides of the equation, then isolating the variable.
have a great day and thx for your inquiry :)
A
4
B
10
2
AABC - ATUV
Find x.
T
C
6
U
X = [?]
X
The unknown length of the similar figure is:
x = 15 units
How to find the unknown length of the similar figure?Two figures are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides are also equal.
Using the above concept, we can equate the ratio of the corresponding sides and solve for the unknown lengths. That is:
TV/AC = TU/AB
x/10 = 6/4
x/10 = 1.5
x = 10 * 1.5
x = 15 units
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A jar contains 8 pennies, 3 nickels, 5 dimes, and 2 quarters. If one coin is chosen from the jar, how many ways are there to get more than 4 cents
Answer: The jar contains a total of 18 coins (8 pennies + 3 nickels + 5 dimes + 2 quarters). To get more than 4 cents, we need to choose a nickel, dime, or quarter. There are 3 nickels, 5 dimes, and 2 quarters, for a total of 10 coins that satisfy this condition. Therefore, there are 10 ways to choose a coin from the jar that is more than 4 cents.
100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!
For this problem, you need an on-hand calculator.
Problem:
sin (pi/8)
Step 1: divide pi by 8.
[tex]\pi[/tex]/8
=0.39269908169
Step 2: Find Cosine of (0.39269908169)
This is the part where you need a calculator.
Locate the SIN button on your graphing calculator.
Press the SIN button, then continue to type 0.39269908169 after the parenthesis.
The calculator gives a value of .0068538383
Final answer:
0.068538383
The price of a computer is $999.00. The sales tax rate is 7%. What is the sales tax on this computer in dollars and cents?
The sales tax on the computer is $69.93.
How to determine the sales taxTo calculate the sales tax on the computer, we need to multiply the price of the computer by the sales tax rate. Here's how you can do it:
Price of the computer: $999.00
Sales tax rate: 7% (which can be expressed as 0.07)
Sales tax = Price of the computer * Sales tax rate
Sales tax = $999.00 * 0.07
To find the sales tax in dollars and cents, we can perform the calculation:
Sales tax = $999.00 * 0.07
Sales tax = $69.93
Therefore, the sales tax on the computer is $69.93.
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Darlene purchases $20,000 worth of stock on her brokers advice and pays her broker a 1.5% broker fee
Darlene's net proceeds from the investment into shares would be $ 8, 279 .
How to find the net proceeds ?First, find the initial broker fee:
= Initial investment × Broker fee rate
= 20, 000 x 1. 5 %
= 20, 000 x 0. 15
= $ 300
The total fees incurred to buy and sell are:
= 300 initial broker + 21 later broker
= $ 321
The net proceeds would then be:
= Final value of stock - Initial investment - Total fees
= 28, 600 - 20, 000 - 321
= 8, 600 - 321
= $ 8, 279
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Full question is:
Darlene purchases $20,000 worth of stock on her brokers advice and pays her broker a 1.5% broker fee. She sells her stock when it increases to $ 28,600 two years later, and uses a discount broker who charges $21 per trade. Compute Darlene's net proceeds after the broker fees are taken out.