Dayton will hedge a total of GBP 24,000,000 using derivatives (i.e., forward, option, and futures contract), which is 80% of the total transaction value.
What is the minimum acceptable GBP/USD exchange rate for Dayton to earn its minimum acceptable margin?
To calculate the minimum acceptable GBP/USD exchange rate, we first need to convert USD 38,670,000 into GBP using the current spot rate:
USD 38,670,000 / 1.3000 = GBP 29,745,385.00
To earn a minimum acceptable margin of USD 38,670,000, Dayton needs to receive at least GBP 29,745,385.00 from the sale. To determine the minimum acceptable GBP/USD exchange rate, we divide the sale price in GBP by the amount of USD Dayton will receive at that exchange rate:
GBP 30,000,000 / (USD 38,670,000 / x) = x * (GBP/USD)
x = (GBP 30,000,000 * 1.3000) / USD 38,670,000
x = 1.0099
Therefore, the minimum acceptable GBP/USD exchange rate for Dayton to earn its minimum acceptable margin is 1.0099.
How much of the transaction value will be hedged using each type of derivative?
Dayton's CFO, Mr. Ricardo, has decided to hedge 25% of the transaction value using a forward, 25% using an option, and 30% using a futures contract. This means that the total amount of the transaction value that will be hedged is:
25% of GBP 30,000,000 = GBP 7,500,000
25% of GBP 30,000,000 = GBP 7,500,000
30% of GBP 30,000,000 = GBP 9,000,000
Therefore, Dayton will hedge a total of GBP 24,000,000 using derivatives (i.e., forward, option, and futures contract), which is 80% of the total transaction value. The remaining 20%, or GBP 6,000,000, will be uncovered.
How can Dayton use each type of derivative to hedge the transaction risk?
Forward: Dayton can use a forward contract to sell GBP forward at a predetermined exchange rate on or before the settlement date (i.e., 30th June, 2019) to lock in a future exchange rate and eliminate the risk of unfavorable exchange rate movements. Dayton will receive the GBP 7,500,000 from Crown on 30th June, 2019, and then sell GBP forward at the predetermined exchange rate to receive USD at that rate.
Option: Dayton can use an option contract to buy a GBP call option at a predetermined strike price, which gives Dayton the right (but not the obligation) to buy GBP at the strike price on or before the expiration date. If the GBP/USD exchange rate goes up.
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Use slopes and y-intercepts to determine if the lines y=5x+5 and 5x−y=−5 are parallel.
Answer: They are not parallel, they are coincident
Step-by-step explanation:
If two lines have the same slope but a different y-intercept, the lines are parallel. If two lines have the same slope and the same y-intercept, the lines are coincident.
We can rewrite 5x−y=−5 adding -5x to both sides and multiplying by -1:
5x - y =-5
5x - y -5x = -5 - 5x (adding -5x to both sides)
-y = -5 - 5x
Multiplying by -1
y = 5x + 5
Both equations look the same so they are coincident. They have the same intercept y=5 and the same slope m=5.
WILL GIVE BRAINLIEST! How many possibilities of HELPS are there?
Answer:
8 helpd
Step-by-step explanation:
i know it iv had probability b4
I need help please. Thanks!
Answer:
A
Step-by-step explanation:
We are given the function f and its derivative, given by:
\(f^\prime(x)=x^2-a^2=(x-a)(x+a)\)
Remember that f(x) is decreasing when f'(x) < 0.
And f(x) is increasing when f'(x) > 0.
Firstly, determining our zeros for f'(x), we see that:
\(0=(x-a)(x+a)\Rightarrow x=a, -a\)
Since a is a (non-zero) positive constant, -a is negative.
We can create the following number line:
<-----(-a)-----0-----(a)----->
Next, we will test values to the left of -a by using (-a - 1). So:
\(f^\prime(-a-1)=(-a-1-a)(-a-1+a)=(-2a-1)(-1)=2a+1\)
Since a is a positive constant, (2a + 1) will be positive as well.
So, since f'(x) > 0 for x < -a, f(x) increases for all x < -a.
To test values between -a and a, we can use 0. Hence:
\(f^\prime(0)=(0-a)(0+a)=-a^2\)
This will always be negative.
So, since f'(x) < 0 for -a < x < a, f(x) decreases for all -a < x < a.
Lasting, we can test all values greater than a by using (a + 1). So:
\(f^\prime(a+1)=(a+1-a)(a+1+a)=(1)(2a+1)=2a+1\)
Again, since a > 0, (2a + 1) will always be positive.
So, since f'(x) > 0 for x > a, f(x) increases for all x > a.
The answer choices ask for the domain for which f(x) is decreasing.
f(x) is decreasing for -a < x < a since f'(x) < 0 for -a < x < a.
So, the correct answer is A.
Please answer this correctly
Answer:
Hiking: 28%
Canoeing: 16%
Swimming: 24%
Fishing: 32%
Step-by-step explanation:
21 + 12 + 18 + 24 = 75 (there are 75 campers)
21 out of 75 = 28%
12 out of 75 = 16%
18 out of 75 = 24%
24 out of 75 = 32%
Hope this helps!
Please mark Brainliest if correct
Insert commas and write the number name in international system of numeration
The number name of 97600305 in international system of numeration Ninety-Seven Million, Six Hundred Thousand, Three Hundred and Five.
The number 97600305 can be written with commas as,
Place the commas after hundred.
That is after 305.
Read as three hundred five.
then place the commas after thousands.
Place the comma after 600.
Read as six hundred thousands.
and place the comma after million.
that is after 97.
Read as Ninety-Seven Million.
Combine all and write in the international system of numeration,
The number 97600305 is read as,
Ninety-Seven Million, Six Hundred Thousand, Three Hundred and Five.
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The given question is incomplete, I answer the question in general according to my knowledge:
Write the number name for the numeral 97600305 by inserting commas and write the number name in international system of numeration.
Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
For breakfast, Mr. Hill bought a cup of coffee for $1.39 and a bagel for $1.85. What was his total cost?
Answer:
$3.24
Step-by-step explanation:
Cost for the coffee + Cost for the bagel
$1.39 + $1.85
$3.24
I think it will be b but I don’t know
Answer:
yeah it is b
acute and scalene
Step-by-step explanation:
scalene means none of the sides equal
and also all sides are acute angles
Answer:
yep you are correct it would be answer b
Step-by-step explanation:
hope this helped you
A rectangular auditorium seats 1144 people. The number of seats in each row exceeds the number of rows by 18. Find the number of seats in each row.
Answer:
44 seats in each row
Problem:
A rectangular auditorium seats 1144 people. The number of seats in each row exceeds the number of rows by 18. Find the number of seats in each row.
Step-by-step explanation:
Let n be the number of rows.
If the number of seats exceed the number of rows by 18, then the number ot seats can be represented by n+18.
So we have a n by n+18 rectangle whose number of seats in all is 1144.
So we need to solve n(n+18)=1144
Distribute: n^2+18n=1144
Subtract 1144 on both sides" n^2+18n-1144=0
What two numbers multiply to be -1144 but also add to be 18?
Hmmm.. let's break -1144 down a little into smaller factors.
-1144=2(-572)=4(-286)=8(-143)=-8(13)(11)=-26(44)
We found a pair of factors that will work? -26 and 44.
So the factorization of our quadratic equation is (n-26)(n+44)=0.
This implies either n-26=0 or n+44=0 .
n=26 by adding 26 on both sides for first equation.
n=-44 by subtracting 44 on both sides for second equation.
n=26 is the only one that works.
This means there are 26 rows and 26+18 seats in each row.
26 rows
44 seats in each row
That product does equal 1144 seats in all.
1. Henry's little brother still sleeps in a crib at night. The crib is designed so the mattress can
be lowered as his brother gets older. The top and bottom pieces are parallel to one
another.
Currently, his crib is on Level 1 as shown below. If the m <2 is 42°, find the m <4 and m <7.
m<4=138°
m<7 = 42°
The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.
To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.
Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.
Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.
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Find the total area of the shaded region. Ay 1.5- 14 x=5y3 (5,1) * = 5y? 0.5- х 07 0 2.5 5 7.5 Find the area of the region enclosed by the curves x= x = 7y?, x=0, and y=1. The area of the region enclosed by the curves is (Type a simplified fraction.)
The total area of the shaded region for the region x = 5y³ , x = 5y² in the interval ( 5, 1 ) is equal to ( 5 / 12 ).
From the attached graph :
The area of the shaded region :
x = 5y³ , x = 5y² for the interval ( 5, 1 ) is equal to :
= \(\int\limits^1_0 {( 5y^{2 } - 5y^{3 }}) \, dy\)
= [ ( 5y³/3 ) - ( 5y⁴ / 4 ) ]\(| \limits^1_0\)
Substitute the lower limit and upper limit we get,
= (5 /3 )( 1 )³ - 0 - ( 5 / 4 )( 1⁴) + 0
= ( 5 / 3 ) - ( 5 / 4 )
= ( 20 - 15 ) / 12
= 5 / 12
Therefore, the total area of the shaded region in the given graph for the lower and upper limit is equal to ( 5 / 12 ) .
The given question is incomplete, I answer the question in general according to my knowledge:
Find the total area of the shaded region x = 5y³ , x = 5y² for the interval
( 5, 1 ).
Graph is attached.
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How do you write 3.684 × 103 in standard form?
convert 2 3/4 to an improper fraction
Answer:
11/4
Step-by-step explanation:
11/4
4/4+4/4+3/4=11/4
Answer:
2×4=8
8+3=11
11/4
Step-by-step explanation:
Hope this helps
Please can you help me with this question ill give away 20 points
Answer:
30m
Step-by-step explanation:
6x10= 60
1 half of 60 is 30
perimeter=30m
See your levels
Mr. Camacho has 275 rubber stamps. He wants to give the same number of stamps to
each of his 8 students. If he gives away as many stamps as he can, how many stamps will be
left over?
Submit
rubber stamps
I do
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IM LEARNING 2022 IXL Learning. All rights reserved.
Answer:
3 Stamps left
Step-by-step explanation:
275/8=34.375
34*8=272
275-272=3
Answer: 3
help please the function f(x) = 3x -8 , solve f(x) = 7
Answer:
f(x) = 13
Step-by-step explanation:
f(x) = 7 means that x = 7
Plug this in:
3(7) - 8
21 - 8
13
f(x) = 13
A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups. Using the data provided below, conduct an F-test to determine whether you believe there is an association between race and average age at marriage.
Race N Mean
Black 113 25.39
White 904 22.99
Other 144 23.87
All Groups 1,161 23.33
Answer:
The P-value is < significance value ( 0.05 ) hence we reject the Null hypothesis ( i.e. There is an association between the race and average age at marriage )
Step-by-step explanation:
Conducting an F-test to determine association between race and average age at marriage
step 1 : State the hypothesis
H0 : ц1 = ц2 = ц3
Ha : ц1 ≠ ц2 ≠ ц3
step 2 : determine the mean square between
Given mean value of all groups = 23.33
SS btw = 113*(25.39 - 23.33)² + 904*(22.99 - 23.33)² + 144*(23.89 - 23.33)^2 = 113(4.2436) + 904(0.1156) + 144(0.3136)
= 629.1876
hence: df btw = 3 - 1 = 2
df total = 1161 - 1 = 1160
df within = 1160 - 2 = 1158
SS within = 36.87*1158 = 42695.46
Therefore the MS between = 629.19 / 2 = 314.60
The F-ratio = 314.59 / 36.87 = 8.53
using the values for Btw the P-value = 0.00021
The P-value is < significance value ( 0.05 ) hence we reject the Null hypothesis ( i.e. There is an association between the race and average age at marriage )
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.
What is the domain of the relation?
{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}
The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.
How to determine domain relation?The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.
Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.
Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.
Hence, the correct option is {−4, −2, 0, 3, 5}.
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18x² +15x-12 factor
A market researcher, having collected data on breakfast cereal expenditures by families with one, two, three, four, or five children living at home, plans to use an ordinary regression model to estimate the mean expenditures at each of these five family size levels. However, the researcher is undecided between fitting a linear or a quadratic regression model, and the data do not give clear evidence in favor of one model or the other. A colleague suggests: "For your purposes, you might simply use an ANOVA model." Is this a useful suggestion? Explain.
Answer:
Yes it is a useful suggestion
Step-by-step explanation:
Using the ANOVA model is a good idea because using it would give allowance For us to compare the five means of the five different family sizes. By this, during investigation there would be no confusion as to if a quadratic or linear relationship exists between the variables family size and breakfast cereal expenditure.
We would be comparing the mean expenditure of food of these 5 different family size levels so anova is useful.
Answer and Step-by-step explanation:
ANOVA model is mathematical model describe relationship between response and treatment.
One way ANOVA is given by:
YIJ = µ + Ti +Єij
Where, yij represent jth observation on ith treatment.
In this question, researcher collected data on the breakfast expenditure of a family whose size is five.
Yes, we can use ANOVA model. ANOVA can be used even if there is quadratic nonlinear relationship between expenditure and family size.
Since, the family size is five; we have to compare their mean expenditure on food.
The ANOVA one way model is:
YIJ = µ + Ti +Єij
For i=1, 2,3,4,5 and j= 1, 2,3,4,5
With hypothesis,
H01 : µ1 are equal.
H11 : at least two i not equal to j.
HELP PLEASE! whats the height and base??
Answer: 7.5
Step-by-step explanation:
Area of the bottom left triangle = 4x3/2 = 6
Bottom right = 6x3/2 = 9
Top right = 3x4/2 = 6
Top left = 6x3/2 = 9
6+9+6+9 = 30
Each square unit is 4
So the answer should be 30/4 = 7.5
Hope this is correct
absolute value evaluate problem
|-4| =?
SHOW WORK:
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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p^q is logically equivalent to
The logically equivalent statement to p → q is:
~q → ~p
How to find the logically equivalent statement?The conditional statement:
p → q
Assuming p and q are propositions, the conditional statement may be expressed as:
"If p holds true, then q follows suit. "
'
Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.
We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.
~p and ~q
These mean:
Not p and Not q respectively.
Then the statement:
"If q is not true, then p is not true"
Is written as:
~q → ~p
So this is the logically equivalent statement.
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The Complete Question
Given a conditional statement p → q, which statement is logically equivalent?
~p → ~q
~q → ~p
q → p
p → ~q
Which number line represents the solution of
5x + 3 ≥ -7 ?
Answer:
try D
Step-by-step explanation:
Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5 (and your wager) for rolling a 5 or a 2, nothing otherwise. What are your expected net winnings, to the nearest cent?
Find the product.
y4 · y6
The answer is \(y^{4+6}\) = \(y^{10}\)
6.
Simplify. Write in scientific notation. (9 × 10-3)2
08.1 x 10-5
081 x 104
081 × 10-3
08.1 x 10-6
\($\left(9 \times 10^{-3}\right)^2$\) can be wrltten in sclentlflc notation as\($8.1 \times 10^{-5}$\)
What is scientific notation?If a number is too big or too small to be conveniently represented in decimal form, it can be expressed using scientific notation. It might also be known as standard form in the UK, scientific form, or standard index form. A simple approach to write numbers is in scientific notation. Since it is shorter, more efficient, and clearly indicates magnitude, it is particularly helpful when expressing extremely big or extremely small values. Every real number can be expressed as the product of two elements, a decimal portion and an integer power of ten. The default base value ought to be 10. The exponent must be an integer that is not zero; therefore, it may be either positive or negative.A number is written in scientific notation if it can be written as \($p \times 10^x$\)where p has value greater than or equal to 1 and less than 10 and x is an integer.
Given\(- $\left(9 \times 10^{-3}\right)^2$\)
Flrst applying \($(a b)^2=a^2 b^2$\)
We get, \($\left(9 \times 10^{-3}\right)^2=9^2 \times\left(10^{-3}\right)^2$\)
using property of exponents \($\left(a^n\right)^m=a^{n m}$\)
\($9^2 \times\left(10^{-3}\right)^2=81$\) times \($10^{-6}$\)
Thus, we have to write 81 times\($10^{-6}$\)In scientific notation,
Multiply and divide by 10 , we get
81 times \($10^{-6}=8.1 \times 10^{-5}$\)
Thus, \($\left(9 \times 10^{-3}\right)^2$\)can be written in scientific notation as \($8.1 \times 10^{-5}$\)
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Sharon is filling a pool that holds 13 1/2 gallons for her little brother. She can carry 1 8/8 gallons of water each trip. Write and solve an equation to find how many trips she needs to make.
Answer:
Sharon needs to make 7 trips
Step-by-step explanation:
13 1/2÷1 8/8
1 8/8 = 2 so Sharon can carry 2 gallons of water for each trip
2 can go into 13 6 times because 6x2=12 and that is the gcf
13 1/2- 12=1.5 or 1 1/2
to get to 13 1/2 sharon needs to make 1 more trip. Sharon can make 1 more trip because she can carry 2 gallons of water and there are 1 1/2 gallons left which is less than 2 so she can still make 1 more trip. In total Sharon will make 7 trips.
WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61