Answers
The number in a radical needs to be square rooted to get placed out of it, so the square root of 20 can be split into the square root of 4 times the square root of 5, which can then be simplified to 2 rad 5, but there is a 2 outside of the radical, so then it becomes 4 rad 5, which is equivalent to 4 rad 5 so the first one is an answer.
Raising a number to the exponent of 1/2 is basically square rooting it.
For the second one, it's rad 6 - rad 5, which is not equal to 4 rad 5. That is not an answer.
For the third one, it's 3 times rad 5 + rad 5. That's 3rad5 + rad5. That's 4 rad 5, which is equal to 4 rad 5 at the top, so this is an answer.
For the fourth one, it's 4 times rad 5, so that's 4 rad 5, which is equal to 4 rad 5. That is an answer.
For the fifth one, 10 cannot be simplified to get out of the radical because it's only factors are 2 and 5, and neither of them are squares. That is not an answer.
For the sixth one, it's 3 times rad 5, so it's 3 rad 5. That is not an answer.
The answers are the first one, third one, and fourth one.
Hope this helps
Related Questions
What is the minimum possible value of a European call if S = 52;
K = 50, r (annual rate of interest) = 24% and time remaining to
maturity is 3 months? (10 pts)
Note: Use simple rate of interes
Answers
The minimum possible value of the European call option is approximately 2.8752.
Given the parameters S = 52 (current stock price), K = 50 (strike price), r = 24% (annual interest rate), and a time to maturity of 3 months, we can calculate the minimum call option value.
The Black-Scholes formula for European call option pricing is as follows:
C = S * N(d1) - K * e^(-r*T) * N(d2)
Where:
C = Call option price
S = Current stock price
N = Cumulative standard normal distribution function
d1 = (ln(S/K) + (r + σ^2/2) * T) / (σ * sqrt(T))
d2 = d1 - σ * sqrt(T)
K = Strike price
r = Annual interest rate
T = Time to maturity (in years)
e = Euler's number (approximately 2.71828)
σ = Implied volatility of the underlying asset
Using the provided values, we can calculate the minimum call option value as follows:
d1 = (ln(52/50) + (0.24 + 0^2/2) * (3/12)) / (0.24 * sqrt(3/12))
= (ln(1.04) + 0.12 * 0.25) / (0.24 * 0.1443)
= (0.0392 + 0.03) / 0.0346
= 1.7507
d2 = 1.7507 - 0.24 * sqrt(3/12)
= 1.7507 - 0.24 * 0.1443
= 1.7507 - 0.0346
= 1.7161
N(d1) = N(1.7507) ≈ 0.9599 (using standard normal distribution table)
N(d2) = N(1.7161) ≈ 0.9569 (using standard normal distribution table)
C = 52 * 0.9599 - 50 * e^(-0.24 * (3/12)) * 0.9569
= 49.9152 - 50 * e^(-0.06) * 0.9569
≈ 49.9152 - 50 * 0.9408
≈ 49.9152 - 47.040
≈ 2.8752
Therefore, the minimum possible value of the European call option is approximately 2.8752.
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The figure below shows a circle with center N, diameter FM, and tangents GA and FW. Which of the angles must be right angles? Select all that apply.
A)
B)
C)
D)
E)
F)
Answers
The angles that must be right angles in the given figure are <FPT and <GWF.
In the given figure, we have a circle with center N and diameter FM. The tangents to the circle are GA and FW.
First, let's consider angle <FPT. Since GA is tangent to the circle, it is perpendicular to the radius drawn from the center N to the point of tangency, which is point F. Therefore, <FPT must be a right angle.
Next, let's consider angle <GWF. Since FW is tangent to the circle, it is also perpendicular to the radius drawn from the center N to the point of tangency, which is point F. Hence, <GWF must also be a right angle.
Angles <TFS, <NGW, <FNG, and <NFW are not guaranteed to be right angles based on the given information. Although the figure suggests that <FNG might be a right angle due to the right triangle formed by the diameter FM and the tangent GA, it is not necessarily always true, as the figure could be drawn in a way that makes <FNG non-right.
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Complete question:
The figure below shows a circle with center N, diameter FM, and tangents GA and FW. Which of the angles must be right angles? Select all that apply.
A) <TFS
B) <NGW
C) <FPT
D) <FNG
E) <NFW
F) <GWF
Solve the equation N/-2=-15
Answers
Answer:
30
Step-by-step explanation:
N/-2=-15
N= -15 times -2
N= 30
Answer:
N = 30
Step-by-step explanation:
Step 1: Write equation
N/-2 = -15
Step 2: Solve for N
Multiply both sides by -2: N = 30Step 3: Check
Plug in N to verify it's a solution.
30/-2 = -15
-15 = -15
You sells It in Dest for will 9 $13000 bond $13 161 currently. mature in 6 6 years. thut Yield to maturity is Q What is the coupon rate? a) 11,987. b 16,28%. c) 18,61%. d) 14,32%
Answers
The coupon rate of the bond is 9.04% as calculated in the main answer.
Given:Selling price of bond= $13000Maturity value= $13161Time to maturity= 6 yearsThe yield to maturity of the bond is not given.Coupon rate refers to the rate of interest that is paid on the face value of the bond.
The formula to calculate the coupon rate is as follows: Coupon rate = (Annual coupon payment / Face value of the bond) x 100%The main answer to the given problem is as follows:We can find the annual coupon payment by using the formula as shown below:
Annual coupon payment = Yield to maturity x Face value of the bondSubstituting the given values, we getAnnual coupon payment = Yield to maturity x $13161Let the yield to maturity be ‘y’.Annual coupon payment = y x $13161We are given that the selling price of the bond is $13000
. Therefore, using the formula for yield to maturity, we can find the yield to maturity as shown below: 13000 = Annual coupon payment / (1+y/2)⁶ + $13161 / (1+y/2)¹²Simplifying the above expression,
we get a quadratic equation as shown below:2y² + 35y – 629 = 0On solving the above equation, we get y = 0.090398 or y = -17.540398We can ignore the negative value of ‘y’.
Therefore, the yield to maturity of the bond is 9.04%. Substituting this value in the formula for annual coupon payment,
we get Annual coupon payment = 9.04% x $13161. Annual coupon payment = $1189.72Using the formula to calculate the coupon rate, we get:
Coupon rate = (Annual coupon payment / Face value of the bond) x 100%Coupon rate = ($1189.72 / $13161) x 100%Coupon rate = 9.04%Therefore, the coupon rate of the bond is 9.04%.Option A - 11.987
The coupon rate of the bond is 9.04% as calculated in the main answer.
Therefore, the correct option among the given options is (A) 11.987. The solution to the given problem is explained in detail.
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HELP HELP WILL GIVE BRAINLEST
Answers
Answer:
y = 3/2x + 2
Step-by-step explanation:
first things first write the equation is y = mb+b form which would be 2y = 3x + 14 then divide everything by 2 to get y by itsself --> 3/2x + 7 for an equation to be paralle the equation needs the same slope which is -6 so 3/2(-6) = -9 so the next equation would also start with 3/2x, so you would then do this:
-11 = -9 + b (y = mx+b)
b = -9 + 11 --> b = 2
so the equation is
y = 3/2x + 2
y = 3/2x - 2
What are the solutions to (X-7)(x+1)(x-9)=0?
Answers
Answer:
Just take the opposite of the number in the factor.
x = 7, x = -1, x = 9
[ -1 5 7] [9] [x1]
Given A = [ 0 -2 4], B = [6] and x = [x2] [0] Calculate: (a) Al (b) /A (c) 1x (d) x′1 Indicate the dimension of the identity matrix used in each case.
Answers
The exercise involves calculations with matrices A, B, and x. We need to perform various operations, including taking the inverse of matrix A, multiplying matrix A by matrix B, multiplying matrix x by the transpose of x, and calculating the dimension of the identity matrix used in each case.
Let's perform the calculations step by step:
(a) To find the inverse of matrix A, denoted as A^(-1), we need to check if matrix A is invertible. If the determinant of A is non-zero, then A^(-1) exists. If the determinant is zero, A is not invertible.
Determinant of A = |A| = 0*(-8*(-8) - 20) + 2(0*(-8) - 40) - 4(02 - (-8)(-8))
= 0 + 0 - 4*(-128)
= 512
Since the determinant is non-zero, matrix A is invertible. To find A^(-1), we can use the formula:
[tex]A^{-1} = (1/|A|) * adj(A)[/tex]
where adj(A) is the adjugate of matrix A. The adjugate can be found by taking the transpose of the cofactor matrix of A.
Calculating the adjugate of A:
Cofactor matrix of A:
C = [0 -8 16]
[0 0 0]
[4 8 0]
Transposing C:
adj(A) = [0 0 4]
[-8 0 8]
[16 0 0]
Calculating [tex]A^{-1}:[/tex]
[tex]A^{-1}= (1/512) * adj(A)[/tex]
= (1/512) * [0 0 4]
[-8 0 8]
[16 0 0]
= [0 0 1/128]
[-1/64 0 1/64]
[1/32 0 0]
(b) To calculate matrix B divided by matrix A, denoted as B/A, we need to multiply matrix B by the inverse of matrix A, which we already found in part (a).
[tex]B/A = B * A^{-1}[/tex]
= [6] * [0 0 1/128]
[-1/64 0 1/64]
[1/32 0 0]
= [60 + 0(-1/64) + 1/1280]
[60 + 00 + 1/640]
[61/32 + 00 + 1/128*0]
= [0]
[0]
[3/512]
(c) To calculate the product of matrix x and the transpose of x, denoted as xx', we simply multiply each element of x by the corresponding element in the transpose of x.
xx' = [x2x2 00]
[00 00]
= [x2^2 0]
[0 0]
(d) The dimension of the identity matrix used in each case:
For part (a), the dimension of the identity matrix used is 3x3 since the inverse of A is a 3x3 matrix.
For part (b), the dimension of the identity matrix used is 3x3 since we are multiplying a 3x1 matrix (B) by the inverse of A, which is a 3x3 matrix.
For part (c), the dimension of the identity matrix used is 2x2 since xx' is a 2x2 matrix.
For part (d), it seems there is a typo in the question, as it asks for x'1 which suggests it should be a column vector. However, x is given as [x2 0] which suggests it is a row vector. Therefore, the dimension of the identity matrix used cannot be determined in this case.
In summary:
(a) A^(-1) = [0 0 1/128]
[-1/64 0 1/64]
[1/32 0 0]
(b) B/A = [0]
[0]
[3/512]
(c) xx' = [x2^2 0]
[0 0]
(d) The dimension of the identity matrix used cannot be determined for part (d) due to the inconsistency in the provided data.
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Lines CE and AD intersect at B.
What is the measure of angle DBE?
Group of answer choices
37∘
143∘
53∘
127∘
Answers
Answer:
The measure of angle DBE is 37° ⇒ (A)
Step-by-step explanation:
If two lines are intersecting at a point, then every two vertically opposite angles are equal in measure
Example:
If line XY intersects line MN at point Z, then angle MZX, angle NZY are vertically opposite angles, and angle MZY, angle NZX are vertically opposite angles
Let us use this fact to solve the question
∵ Line CE intersects line AD at point B
∴ ∠ ABC and angle ∠DBE are vertically opposite angles
∴ m∠ABC = m∠DBE
∵ m∠ABC = 37°
∴ m∠DBE = 37°
The measure of angle DBE is 37°
Find the midpoint M of the line segment joining the points A = (-7, -6) and B = (3, 4).
B
M=
COD
Answers
Answer:
The midpoint is (-2,-1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
( -7+3)/2 = -4/2 =-2
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
(-6+4)/2 = -2/2 =-1
The midpoint is (-2,-1)
a) 8 + (5 + 3) =16
b) (12 + 15) + (3 + 2 + 1) + 4 (5 + 3 + 2 + 8) =
c) 150 – [18 + (5 – 3) + (6 – 2)] =
d) (15 + 2) – (6 + 2) =
e) (17 – 3) – (11 – 3) =
f) [(6 – 4) – (3 – 2)] – [(9 – 7) – (6 – 5)] =
g (14 + 6 – 4) – (9 – 7 – 2) =
Answers
b) 55
c) 126
d) 9
e) 6
f) 0
g) 16
Convert 87/15 to a mixed number
Answers
Answer:
5 and 4/5
Step-by-step explanation:
Answer:
5 4/5 (5 12/15 not reduced)
Step-by-step explanation:
15 will go into 87 5 times.
15x1 = 15. 15x2 = 30. 15x3 = 45. 15x4 = 60. 15x5 = 75. 15x6 = 90. 90 can not go into 87, so you have to work with 75. 87-75=12. So, now your answer is
5 12/15. You are able to divide each of those numbers by 3, so let’s reduce. 12 divided by 3 is 4, and 15 divided by 3 is 5. So your reduced answer is 5 4/5. Hope that helped.
HCF AND LCM OF x^2+5x+6,x^2-4
Answers
Answer:
lcm=(x+3)(x+2)(x-2)
Step-by-step explanation:
hcf=(x+2) using different of two squares for x square minus four
What's the present value of $13,000 discounted back 5 years if the appropriate interest rate is 9%, compounded semiannually? Select the correct answer.
Answers
The present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% can be calculated by the formula:PV = FV / (1 + r/m)^(m*t)Here, PV stands for Present Value FV stands for Future Valuer stands for the interest rate (9%)m is the number of times the interest is compounded (semi-annually, so m = 2)t is the number of years (5)
After substituting the values in the formula, we get:PV = 13,000 / (1 + 0.045)^10PV = 13,000 / 1.55709768854PV = $8,349.58. We can use the concept of present value (PV) and future value (FV) to solve this question. When the cash flow is considered at different points of time, the money's value changes with the time value of money. The time value of money takes into consideration the amount of interest that could be earned on the sum of money if invested. Present value (PV) is a mathematical concept that represents the current worth of a future sum of money, taking into account the time value of money and the given interest rate. PV is calculated by using a discount rate that is determined by the interest rate and the length of time between the present and future payment dates. Future value (FV) is a mathematical concept that represents the future worth of a present sum of money, taking into account the time value of money and the given interest rate. FV is calculated by using a compound interest rate that is determined by the interest rate and the length of time between the present and future payment dates. To calculate the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9%, we can use the formula PV = FV / (1 + r/m)^(m*t), where PV is the present value, FV is the future value, r is the interest rate, m is the number of times the interest is compounded per year, and t is the number of years. In this case, we know that FV is $13,000, r is 9%, m is 2 (since it is compounded semi-annually), and t is 5. After substituting these values into the formula, we get PV = $8,349.58. Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.
Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.
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∠A and ∠B are complementary angles. If m∠A=(6x+1) ∘ and m∠B=(8x-23) ∘, then find the measure of∠B.
Answers
Given that <A and <B are complementary angles, the measure of angle B is: [tex]41^{\circ}[/tex]
Apply the knowledge of what complimentary angles are to solve for x then find the measure of <B.
Since <A and <B are both complimentary angles, therefore:
<A + <B = 90 degrees.Given:m<A = (6x+1)
m<B = (8x-23)
Substitute[tex](6x+1) + (8x-23) = 90[/tex]
Open the bracket[tex]6x+1 + 8x-23 = 90[/tex]
Add like terms[tex]6x+1 + 8x-23 = 90\\\\14x - 22 = 90[/tex]
Add 22 to both sides[tex]14x = 90 + 22\\\\14x = 112[/tex]
Divide both sides by 14[tex]x = 8[/tex]
Find m<B by plugging in the value of x[tex]m \angle B = 8x-23\\\\m \angle B = 8(8) - 23\\\\m \angle B = 41^{\circ}[/tex]
Therefore, given that <A and <B are complementary angles, the measure of angle B is: [tex]41^{\circ}[/tex]
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x/5 - 3 = 9/1
x=
PLEASE HELP I WILL MARK BRAINLIEST
Answers
60
Let me know if you need to show work, I have no problem with putting it in the comments
Write the ratio in the simplest form.
2a/3a
Answers
Answer:
2:3
Step-by-step explanation:
2a/3a a is out
cya a
The ratio 2a/3a in the simplest form is 2/3.
What is ratio?Ratio is the way to compare one thing that is related to another thing.
Simplifying ratio means reducing its terms to the lowest possible digits by dividing them with the possible common factor
For example if we have a ratio 3/6 then we divide both terms by 3 to get 3/6 = 1/2 which is the simplest form of ratio 3/6
Given that a ratio 2a/ 3a
2 and 3 have nothing in common . therefore a is the common factor between 2a and 3a
Then divide the terms of ratio by a
⇒ 2a/ 3a = (2a/a)/(3a/a) = (2/1)/(3/1) = 2/3
Therefore, the simplest form of the ratio 2a/3a is 2/3.
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4.75x=+54+2.50x
Can you help me with the above equation?
Answers
Explanation:
One of the ideas that you have explored in previous courses is how to describe a set of data.
One of the ways that you may have seen before is finding an average (also called a mean). Read
the Math Notes box for this lesson to review what a mean is and how to find it. Then find the
mean of the data below.
The number of minutes Pam talked on the phone: 35, 40, 12, 16, 25, 10. Mean =
Answers
Answer:
Step-by-step explanation:
M = (35 + 40 + 12 + 16 + 25 + 10)/5
M = 138/5
M = 27.6
tres pintores van a pinatr tres bardas y entres los tres lo pagaran cuanto pagara cada uno?
Answers
The amount paid by person is given as follows:
400.
How to obtain the amount paid by person?The amount paid by person is obtained applying the proportions in the context of the problem.
The total cost is given as follows:
1200.
The number of people is given as follows:
3.
Hence the amount paid by person is given as follows:
400.
Missing InformationThe total cost is of 1200.
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PLEASE HELP ME WITH THIS 20 points!!!!!
Answers
Answer:
4x+10=28
We simplify the equation to the form, which is simple to understand
4x+10=28
We move all terms containing x to the left and all other terms to the right.
+4x=+28-10
We simplify left and right side of the equation.
+4x=+18
We divide both sides of the equation by 4 to get x.
x=4.5
Step-by-step explanation:
If 5 items cost $10.25 and all items are the same price, then one item cost
Answers
Answer: each item cost 2.05
Step-by-step explanation:
10.25 divided by 5 = 2.05
checking
2.05 times 5 = 10.25
While playing volleyball, Ralph drank 3/4 of a jug of water. If the jug held 64 fluid ounces of water, how much water did Ralph drink?
Answers
Answer:
48
Step-by-step explanation:
no explanation im just big brain
Find the y-intercept of the line on the graph.
Answers
Answer:
(0, 4)
Step-by-step explanation:
The y-intercept is the y-value when x = 0.
From the graph, we see that when x = 0, y = 4.
12r2s + 21rs2 – 3rs=
Answers
63rs
explanation:
collect like terms
12*2=24rs
21*2=42rs
then add 24+42=66rs
then subtract 3rs
then just add rs
Write in a standard notation
3.6 x 104
Help me and explain please
Answers
Answer:
36000
Step-by-step explanation:
Move the decimal to the right four times because of 10^4
PLs solve it RN I need it for my math class. okay so you are smart pls solve this problem.
Answers
Answer:
3 is the highest you can go
Step-by-step explanation:
Hope this helps
If two triangles have equal perimeters, then they could also have which of the following? Select all that apply.
equal heights
equal bases
equal volumes
equal areas
Answers
Answer:
Equal heights, equal bases, and equal areas.
Step-by-step explanation:
Find all complex numbers z satisfying the equation cos z = 4. Find all complex numbers z satisfying the equation cos z = i sin z.
Answers
To find all complex numbers z satisfying the equation cos z = 4, we need to use the identity:
cos z = cos(x + iy) = cos(x)
cosh(y) - i sin(x)sinh(y)
Given cos(z) = 4, we have
cos(x)cosh(y) = 4 and sin(x)sinh(y) = 0
Since sin(x) and cosh(y) are non-zero, we have tan(x) = sinh(y)/cos(x)
Also, using the identity: cosh²(y) - sinh²(y) = 1, we get
cos²(x)cosh²(y) - sin²(x)sinh²(y) = 16 - 1 = 15
Dividing both sides by cos²(x), we get:
cosh²(y) - tan²(x)sinh²(y) = 15/cos²(x)
Therefore, substituting the value of tan(x) in the above expression, we get:
cosh²(y) - sinh²(y)/cos²(x) = 15/cos²(x)
Rearranging, we get:
cosh²(y) - 17/16 = 0
Therefore, cosh(y) = ±sqrt(17)/4
Taking the positive square root, we get
y = arccosh(sqrt(17)/4)
Taking the negative square root, we get
y = -arccosh(sqrt(17)/4
)Therefore, the solutions for cos(z) = 4 are
:z = nπ - arctan(tanh(y)) ± i arccosh(sqrt(17)/4)z = nπ - arctan(tanh(y)) ± i arccosh(-sqrt(17)/4)
where y = arccosh(sqrt(17)/4) or y = -arccosh(sqrt(17)/4) and n is an integer.
To find all complex numbers z satisfying the equation cos z = i sin z, we can use the identity:
cos z = i sin z, i.e., cos(x) + i sin(x) = i sin(x)cos(x) - sin(x) = 0sin(x)(cos(x) - 1) = 0
Therefore, either sin(x) = 0 or cos(x) = 1When sin(x) = 0, we have x = nπ where n is an integer When cos(x) = 1, we have x = 2nπ where n is an integer
Therefore, the solutions for cos(z) = i sin(z) are:z = nπ + i(nπ + π/2)z = 2nπ + i(2nπ) where n is an integer
The complex numbers z satisfying the equation cos z = 4 are:z = nπ - arctan(tanh(y)) ± i arccosh(sqrt(17)/4)z = nπ - arctan(tanh(y)) ± i arccosh(-sqrt(17)/4)where y = arccosh(sqrt(17)/4) or y = -arccosh(sqrt(17)/4)and n is an integer.The complex numbers z satisfying the equation cos z = i sin z are:z = nπ + i(nπ + π/2)z = 2nπ + i(2nπ)where n is an integer.
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What is6.24 divided by 10
Answers
Answer:
.624
Step-by-step explanation:
Hope this helps.
Answer: 0.624
Step-by-step explanation:
On a recent glider flight, Lucy took a tow to 3000 feet above ground level. She found a good thermal and climbed 1800 feet. Then she hit big sink and lost 2200 feet. What was her altitude at that point?
Answers
peacekeeper yesyklll
