Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)
Answers
Answer:
Your answer is going to be - 722
Step-by-step explanation:
(3-41)=-38
(-3+22)=19
-38*19=-722
Answer: (3 – 41) x (-3+22)= -722
When you go to do the multiplication or any math like this
parentheses,
exponents,
multiplication &division,
addition & subtraction,
Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,
So If you do the math in P-E-M-D-A-S (3−41)(−3+22)
=−38(−3+22)
=(−38)(19)
=−722
-722 is your answer
Related Questions
A derivative is available with premium W(0)=1.34 when its underlying asset has value S(0)=36. This derivative will have expiry values W(1,↑)=0.64 and W(1,↓)=4.55, when the underlying asset has values S(1,↑)=57 and S(1,↓)=26, respectively. A writer sells 100 of these derivative and wants to set up a portfolio which will have zero cash flow, both at the time the derivative is sold and at the time the derivative expires. The portfolio will include 100 derivatives, borrowed or lent cash, and bought or short sold underlying assets. To ensure a zero cash flow, how many underlying assets should the writer have in the portfolio (with positive meaning bought assets and negative meaning short sold assets)? Give your answer to the nearest integer.
Answers
To ensure a zero cash flow in the portfolio, the writer needs to set up a portfolio that offsets the cash flow from selling the derivatives. The writer should have -3 underlying assets in the portfolio (meaning short sold assets)
The cash flow from selling 100 derivatives can be calculated as:
Cash Flow from selling derivatives = 100 * (Premium at time 0 - Expiry value)
Cash Flow from selling derivatives = 100 * (1.34 - 0.64) = 70
To offset this cash flow, the writer needs to include an equal and opposite cash flow from the underlying assets. Let's assume the writer buys ""x"" underlying assets.
Cash Flow from underlying assets = x * (Value at time 0 - Value at time 1)
Cash Flow from underlying assets = x * (36 - 57) = -21x
To make the cash flow from underlying assets equal to the cash flow from selling derivatives, we set up the equation:
-21x = 70
Solving this equation, we find:
x ≈ -3.33
Since the number of underlying assets must be an integer, we round -3.33 to the nearest integer, which is -3.
Therefore, the writer should have -3 underlying assets in the portfolio (meaning short sold assets).
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Amanda think of a number, a. She subtract 4 then multiples the result by 2. Write an expression for her number?
Answers
You subtract X from four then you get your answer next to multiply your answer by two resulting in an answer….. the answer is the expression I wrote above.
Write
17
−
1
12
in surd form.
Answers
Answer:exact form: decimal form=
70082
Explanation=Write in radical form: exact form: decimal form: ...
Answer: exact form: decimal form: ...
Answer:
(Theres not much of a way for me to type the answer, so i added it into a png. hope it helps!)
what is negative 7 minus negative 2
Answers
Answer:
-5
Step-by-step explanation:
-7 - (-2)
-7 + 2
Example: If you owe someone $7, and you give them $2, how much do you still owe? You are owing him $7 so it's a negative and you give him $2 which is a negative as well since you are giving it to him. So, to answer how much do you still owe, you would add $2 to the $7 you owed, so now, you owe him $5, which is a negative since you OWE him.
Hope this helps:)
What is the order from least to greatest for |-3|, -1 , 0 , |-1 | , -5
Answers
Answer:
-5, -1, 0, |-1|, |-3|
Step-by-step explanation:
|-3| = 3
|-1| = 1
-5, -1, 0, 1, 3
Note that abosulate value changes the number to being positive at all times.
Best of Luck!
Answer:
-5, -1, 0, I-1I, I-3I
Step-by-step explanation:
Find zeros of quadratic polynomial
x²+x -20
Answers
Answer:m,m,
Step-by-step explanation:
Answer:
Zeros:
x = -5x = 4Step-by-step explanation:
Given quadratic polynomial:
\(x^2+x -20\)
The zeros of a function f(x) are the x-values that satisfy the equation f(x)=0.
Therefore, to find the zeros of the given function, set it to zero and solve for x.
Factor the quadratic:
\(\implies x^2+x-20=0\)
\(\implies x^2+5x-4x-20=0\)
\(\implies x(x+5)-4(x+5)=0\)
\(\implies (x-4)(x+5)=0\)
\(\boxed{\begin{minipage}{8.4 cm}\underline{Zero Product Property}\\\\If $a \cdot b = 0$ then either $a = 0$ or $b = 0$ (or both).\\\end{minipage}}\)
Apply the Zero Product Property:
\(\implies x-4=0 \implies x=4\)
\(\implies x+5=0 \implies x=-5\)
Therefore, the zeros of the given quadratic polynomial are:
x = -5x = 4Help me !!!!!!!!!!!!!!!!!
Answers
Answer:
2 3/4 and 11/4
Step-by-step explanation:
Need help with this math question (pic included)
Answers
Answer:
8
Step-by-step explanation:
If the only zero for this function is at x = - 4 it looks like this:
f(x) = (x+4)(x+4) = x^2 +8x + 16 so j = 8
Answer:
Step-by-step explanation:
x² +jx +k = 0
If there is only one root ( - 4 ), then (x + 4)² = 0
or
x² + 8x + 16 = 0
j = 8 and k = 16
for the function f(x) = -4x - 3 which of the following is f(-2)
a -11
b -2
c 11
d 5
e none of the above
Answers
Answer:
d. 5
Step-by-step explanation
f(x)=-4x-3
find f(-2)
so...
f(-2)=-4(-2)-3
-4(-2)= 8
8-3= 5
the answer is d. 5
Please help me asap!!!!!!!
Answers
Ampere's law states that: a) The line integral of
B
⋅
ds
around any closed path equals μ
0
I, where I is the total steady current passing through any surface bounded by the closed path. b) The line integral of
B
⋅
ds
around any closed path equals zero. c) The net magnetic flux through any closed surface is not always zero. d) The net magnetic flux through any closed surface equals
μ
0
1
. Q4) One of the following sentences is true:
Answers
The correct statement is a) The line integral of B⋅ds around any closed path equals μ0I, where I is the total steady current passing through any surface bounded by the closed path.
The correct option is a) The line integral of B⋅ds around any closed path equals μ0I, where I is the total steady current passing through any surface bounded by the closed path.
Ampere's law is one of the fundamental equations in electromagnetism and relates the magnetic field B to the electric current I. It states that the line integral of the magnetic field around a closed path is equal to the permeability of free space (μ0) times the total steady current passing through any surface bounded by the closed path.
Option b) is incorrect because Ampere's law does not state that the line integral of B⋅ds around any closed path equals zero. It relates it to the current passing through the surface.
Option c) is also incorrect because Ampere's law does not directly address the net magnetic flux through a closed surface. It specifically relates the line integral of the magnetic field around a closed path to the current passing through the surface.
Option d) is incorrect because the net magnetic flux through any closed surface is not equal to μ0. The net magnetic flux through a closed surface depends on the distribution of magnetic field lines and the characteristics of the surface.
Therefore, the correct statement is a) The line integral of B⋅ds around any closed path equals μ0I, where I is the total steady current passing through any surface bounded by the closed path.
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If andre collects $9.80, how many cups did he sell?
Answers
Answer:
we need more information
(20P) Help please and thanks
Answers
Answer:
121212
Step-by-step explanation:
f12121
Name the marked angle in 2 different ways.
Answers
1) angle DCB
2) angle BCD
A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier normally distributed and has the mean 8.4 hours and the standard deviation 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.7 hours
Answers
The mean of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalie μ = 8.4 hours The standard deviation of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalier, σ = 1.8 hours.
The sample size, n = 40 We have to find the probability that their mean rebuild time exceeds 8.7 hours. We know that the sampling distribution of the sample means is normally distributed with the following mean and standard deviation.
We have to find the probability that the sample mean rebuild time exceeds 8.7 hours or Now we need to standardize the sample mean using the formula can be found using the z-score table or a calculator. Therefore, the probability that the mean rebuild time of 40 mechanics exceeds 8.7 hours is 0.1489.
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The probability P(Z>1.28) is closest to: (a) −0.10
(b) 0.10
(c) 0.20
(d) 0.90
Answers
Answer:
Step-by-step explanation:
The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.
Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.
Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.
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in a statistics exam an individuals score is normally distributed with a mean of 80 and a sample standard deviation of 6 points. assume there are 30 individuals in the class. calculate the probability the class average is less than 79.
Answers
The probability the class average is less than 79 is 0.1587.
What is Normal Distribution ?
The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1.The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.Given that,
Normally distributed with a mean μ = 80
sample standard deviation σ = 6
In a class, number of students n = 30 (This may be 36 in ques but we take 30 as mentioned in question )
Let, x = be the individual score
∑x = be the class average
It's given, class average is less than 79.
Now, the probability that the class average is less than 79.
P(∑x < 79) = P( (∑x - μ) / (σ/√n) < (79 - 80) / (6 /√30) )
= P( (∑x - μ) / (σ/√n) < (-1) / 1.09 )
= P( (∑x - μ) / (σ/√n) < -1 ) [Round off the Denominator it gives 1]
we know, Standard normal distribution Z = (∑x - μ) / (σ/√n)
so,
P(∑x < 79) = P( Z < -1 )
By Standard normal distribution table,
P( Z < -1 ) = 0.1587
Hence, the probability the class average is less than 79 is 0.1587.
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Please help? Im stuck.
Answers
Answer:
which solution are you looking for?
Step-by-step explanation:
Solving for X would be: x<0
Graph inequality would be the left side shaded i think
help me how do i do this -4x ≥20
Answers
Answer:
x ≤ -5
The image has the work shown
A certain island contains 540 cats and 675 dogs. What is the ratio of cats to dogs on this island?
Answers
Answer:
4 : 5
Step-by-step explanation:
every 4 cats there are 5 dogs
The ratio of cats to dogs is 4 : 5
The ratio of cats to dogs is:
Number of cats : Number of dogs
540 : 675
Now you take them down to their lowest terms by dividing both numbers by their highest common factor.
The highest common factor of 540 and 675 is 135 so divide both sides by 135:
540 / 135 : 675 / 135
4 : 5
The ratio of cats to dogs is therefore 4 : 5.
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fencing a garden a homeowner has 100 ft of fencing to enclose a rectangular garden. if the garden is to be 5 ft longer than it is wide, find its dimensions.
Answers
The dimensions of the rectangular garden is 25 feet by 50 feet
To find the dimensions of a rectangular garden that is 5 feet longer than it is wide, when the homeowner has 100 feet of fencing to enclose it, you can use the equation for the perimeter of a rectangle (P = 2l + 2w). Since the perimeter of the rectangle is given (100 feet), you can solve for l and w, the length and width of the rectangle.
P = 2l + 2w
100 = 2l + 2w
50 = l + w l = 50 - w
2(50 - w) + 2w = 100
100 - w = 2w , w = 25 l = 50 - 25, l = 25
Therefore, the dimensions of the rectangular garden that is 5 feet longer than it is wide, when the homeowner has 100 feet of fencing to enclose it, is 25 feet by 50 feet.
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what is the distance between 7 and 1 1/3 as a fraction form.
Answers
Answer: The distance between 7 and 1/13 in fraction form is 5 2/3.
Step-by-step explanation:
Step 1: Remove 1 and 1/3 from 7.
Step 2: 7 - 1 = 6
Step 3: 6 - 1/3 = 5 2/3.
WILL GIVE BRAINLIEST What is the solution to the equation x + 8.5 = 64.5?
7.6
48
56
73
Answers
Answer:
56
Step-by-step explanation:
x + 8.5 = 64.5
Subtract 8.5 from both sides.
x = 56
Calculate the risk premium for each of the following rating classes of long-term securities, assuming that the yield to maturity (YTM) for comparable Treasuries is 4.93%. (Click on the icon here 마 in order to copy the contents of the data table below into a spreadsheet.) The risk premium for securities class AAA is %. (Round to two decimal places)
Answers
As per the yield to maturity, the risk premiums for each rating class:
Rating Class 1 (AAA): The risk premium is 0.61%.
Rating Class 2 (BBB): The risk premium is 1.27%.
Rating Class 3 (B): The risk premium is 3.31%.
Rating Class 1 (AAA):
The nominal interest rate for rating class 1 (AAA) is 5.12%, and the yield to maturity for comparable treasuries is 4.51%. To calculate the risk premium, we subtract the yield to maturity from the nominal interest rate:
Risk Premium = Nominal Interest Rate - Yield to Maturity
Risk Premium for AAA = 5.12% - 4.51%
Risk Premium for AAA = 0.61%
Therefore, the risk premium for rating class 1 (AAA) is 0.61%.
Rating Class 2 (BBB):
The nominal interest rate for rating class 2 (BBB) is 5.78%, and the yield to maturity for comparable treasuries is 4.51%. Similarly, we calculate the risk premium:
Risk Premium for BBB = 5.78% - 4.51%
Risk Premium for BBB = 1.27%
Hence, the risk premium for rating class 2 (BBB) is 1.27%.
Rating Class 3 (B):
The nominal interest rate for rating class 3 (B) is 7.82%, and the yield to maturity for comparable treasuries remains 4.51%. Calculating the risk premium:
Risk Premium for B = 7.82% - 4.51%
Risk Premium for B = 3.31%
Thus, the risk premium for rating class 3 (B) is 3.31%.
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Complete Question:
Calculate the risk premium for each of the following rating classes of long-term securities, assuming that the yield to maturity for comparable treasuries is 4.51%.
Rating class 1 is AAA with a nominal interest rate of 5.12%.
Rating class 2 is BBB with a nominal interest rate of 5.78%.
Rating class 3 is B with a nominal interest rate of 7.82%.
A group of friends wants to go to the amusement park. They have no more than $305 to spend on parking and admission. Parking is $19, and tickets cost $26 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answers
Larry and 3 friends went to a basketball game. They
paid $5.00 for each of their tickets and each bought a
bag of candy. If they spent a total of $28, how much
was each bag of candy?
Answers
The tickets were $15 in total
28-15= 13
13:3= 4’3
Each bag of candy was $4’3
Answer:5x3= 15
The tickets were $15 in total
28-15= 13
13:3= 4’3
Each bag of candy was $4’3
Step-by-step explanation:
what is 1696 divided by 43
Answers
Answer:
39.44
Step-by-step explanation:
Answer:
39.4418605
Step-by-step explanation:
Write an equation in point slope form of the line that passes through the point (-2,10) and has slope -4
Answers
Answer:
y = -4x + 2
Step-by-step explanation:
General equation
y = mx + b
where m is the slope and b is the y intercept.
Givens
m = - 4
Point: (-2,10)
Solution
y = -4x + b
10 = -4(-2) + b
10 = 8 + b
10 - 8 = b
b = 2
Answer:
y = -4x + 2
make an argument for why (4^2)^4=(4^4)^2
Answers
(4^2)^4 is the same as (4^4)^2 because they’re both being squared and multiplied by the a number equaling to the same number, but written differently.
4^2=16 , whereas 4^4=256
HOWEVER
16^4=65536 and 246^2=65536.
Therefore both equal to the same number. It depends on the exponents, and multiplication. If it were to be a different exponent, then they wouldn’t have been the same
The diameter of a circle measures 22 yd. What is the circumference of the circle?
Use 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
69.08 yd
Step-by-step explanation: