Answer:
Fixed Income Mathematics features material and analysis on yield measures for fixed rate bonds and floating rate bonds, key rate duration and yield curve curvature, cash flow characteristics of collateralized debt obligations, and much more.
Fixed income broadly refers to those types of investment security that pay investors fixed interest or dividend payments until its maturity date. At maturity, investors are repaid the principal amount they had invested. Government and corporate bonds are the most common types of fixed-income products.
Step-by-step explanation:
Some examples are:
Bonds. ...
Savings bonds. ...
Guaranteed Investment Certificates (GICs) ...
Treasury bills. ...
Banker's Acceptances. ...
Perfect Pizza has 15 toppings listed on their menu. How many ways could a customer choose a pizza that contains 3 different toppings?
If adding only twelve, you must leave out three of the fifteen, and the number of ways is = 15! / (3! * 12!).
1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12∗13∗14∗15 over
(1∗2∗3)∗(1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12) =
13∗14∗15 over
(1∗2∗3)
27306 = 455
Answer: If all toppings are distinct, then you have C 4 15 combinations. If there are three distinct toppings, you have 3 ⋅ C 3 15 combinations (because we have C 3 15 choices for toppings and then 3 choices for which of those three toppings is doubled).
Step-by-step explanation:
A family buys b boxes of frozen waffles each containing w waffles. Each week the family eats x waffles. Write an equation in terms b,w,x that represents the number of remaining waffles r, after 2 weeks
Answer:
r=b(w)-2x
Step-by-step explanation:
were solving for r so that is our end variable
sense we dont know how many boxes there are we just put b in the equation by itself, multiplying it with w since that represent the total number of waffles
b(w)
Ex: they buy 2 boxes and each box contains 24 waffles
b=2 and w=waffles
it then says each week they eat x amount of waffles, meaning its the same number for every week allowing us to multiply it with the number of weeks.
2x
Ex: say the family eats 10 waffles per week week, meaning x=10, well the we just multiply the 10 by the number of weeks
Answer: r = b(w) - 2x
The number of remaining waffles r, after 2 weeks is r=bw-2x.
Given that, a family buys b boxes of frozen waffles each containing w waffles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The number of remaining waffles r, after 2 weeks.
Number waffles = Number of boxes × Number of waffles in each box
= b × w
= bw
Now, number of waffles left after 2 weeks = 2x
So, equation is r=bw-2x
Therefore, the number of remaining waffles r, after 2 weeks is r=bw-2x.
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if two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?
If two samples are selected from same population, then two samples are guaranteed to have exactly same t-statistic is (d) If samples are same-size and have same-mean and have same-variance.
If two samples are selected from the same population and have the same size, same mean, and same variance, the t statistic calculated for both samples will be exactly the same.
The t statistic is computed using the sample means, sample variances, and sample sizes. When these values are identical for both samples, the calculations for the t-statistic will yield the same result.
This scenario ensures that the t-statistic, which is used for hypothesis testing or constructing confidence intervals, will be consistent across the two samples.
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
If two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?
(a) If the samples are the same size and have the same variance.
(b) If the samples are the same size and have the same mean.
(c) If the samples have the same mean and the same variance.
(d) If the samples are the same size and have the same mean and have the same variance.
Glen is driving to the mega
mall that is 30 miles away from his
mom's house. On Glen's map app, his mom's house and the mega
mall are 5 inches apart. What is the scale on Glen's map?
A. 1 inch = 150 miles
B. - 1 inch = 35 miles
C. 1 inch = 25 miles
D. 1 inch = 6 miles
Answer:
D
Step-by-step explanation:
A shopper bought a watermelon,a pack of napkins,and some paper plates. In his state, there is no tax on food. The tax rate on non-food items is 15 percent. The total for the three items he bought was $8.25 before tax, and he paid $0.19 in tax. How much did the watermelon cost?
Answer:
Step-by-step explanation:
the question is about 15% tax equaling 19 cents. So what amount of principle would be needed to make 19 cents worth of tax.
.19/.15=1.26666666
round up to $1.27 since we don't have parts of pennies for money.
8.25-1.27=$6.97 for the watermelon.
The Franklin Middle School cafeteria is logging their sales from today's lunch. They sold only sandwiches and burritos today. They sold a total of 158 items for $674. Burritos sell for $5 each, and sandwiches sell for $3 each.
Linda the lunch lady wrote these two equations to represent the number of burritos (b) and sandwiches (s) sold today.
5b+3s=674
b+s=158
How many of each lunch item were sold?
Answer:
5b
Step-by-step explanation:
shdgsushhdudgwhdvd
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.
- 1/2x+1=7x−14
(the 1/2 is got a - in the middle before it)
Answer:
x=2
Step-by-step explanation:
- 1/2x+1=7x−14
(c-5)(c-6)
please answer
Answer:
c² - 11c + 30
Step-by-step explanation:
(c - 5)(c - 6)
each term in the second factor is multiplied by each term in the first factor , that is
c(c - 6) - 5(c - 6) ← distribute parenthesis
= c² - 6c - 5c + 30 ← collect like terms
= c² - 11c + 30
The answer is:
\(\sf{c^2-11c+30}\)
Work/explanation:
Remember that to multiply binomials, we use FOIL:
F = first
O = outside
I = inside
L = last
Now multiply.
The first terms are c and c.
\(\sf{(c-5)(c-6)}\)
\(\sf{c^2}\)
Next, we multiply c times -6
\(\sf{-6c}\)
Then, we multiply -5 times c
\(\sf{-5c}\)
Finally, we multiply -5 times -6
\(\sf{-30}\)
Put the terms together
\(\sf{c^2-6c-5c+30}\)
Combine like terms
\(\sf{c^2-11c+30}\)
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Given parallelogram L M N O below, LP = 81 If PN = -7x-3 solve for x
Answer:-12x
Step-by-step explanation:
just trust me on this
a circular curve is to be constructed with a 225 ft radius and an interior angle of 55 degrees. the separation between the stakes along the arc is 50 ft. assuming the curve is laid out from point to point, what is the last deflection angle?
The curve is laid out from point to point, the last deflection angle of circular curve is 26.5°
In the given question we have,
Radius of circular curve (R) = 225 ft
intersection or central angle in circular curve (I or delta) = 55°
separtion between stakes alaong arc = 50 ft
Angle of deflection is measured from tangent at PC or PT to any point .
deflection angle formula
deflection angle = (Lc /L)(I/2)
where, Lc is long chord and L is lenth of arc , I is central angle
first we find out the value of Lc and L
using formula , R = Lc / 2sin(I/2)
Lc = 225× 2 sin(55°/2) = 208 ft
L = R × I ×π/180°
L = 225 × 3.14 ×55/180 = 215.8 ~ 216 ft
put all the vales in deflection angle formula we get ,
deflection angle= (208/216)(55°/2) = 26.48° ~ 26.5°
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A scooter travels at 1/4 mile in 1/2 minute find the speed
The speed of the scooter is 1/2 miles per minute.
The time traveled by an object or person in any direction in a particular period of time is called speed. Speed is a scalar quantity that has no direction, it has only magnitude.
Uniform speed, variable speed, average speed, and instantaneous speed are the four kinds of speed.
To find the required speed of a scooter, you can use the following formula:
Speed= Distance/Time
Here given that, the scooter traveled 1/4 miles in 1/2 minute.
By applying the formula,
speed=(1/4)miles/(1/2)minutes
=1/2 miles/minute
Therefore, the speed of the scooter is 1/2 mile/minute.
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Half a mile per minute is the speed at which the scooter moves.
Speed is the amount of time it takes for a person or object to move in any direction over a predetermined amount of time. Speed is a scalar quantity with only magnitude and no direction.
Uniform, variable, average, and instantaneous speeds are the four different types of speed.
Apply the following formula to determine the required speed for a scooter:
Time/Distance = Speed
As a result, the scooter traveled a quarter mile in just over a minute.
Using the equation,
speed=(1/4)miles/(1/2)minutes
50/60 miles per hour
The scooter moves at a speed of half a mile per minute as a result.
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8) A dress normally sells for $35.85. How much does the dress cost after a 15% discount??
Answer:
$30.47
Step-by-step explanation:
100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps
Which of the following expressions is equivalent to 810 x 9?
O (800 x 9) + (10 x 9)
O (81 x 9) + (10 x 9)
O (600+ 310) x 9
O
814 x 5
Answer:
(800 x 9) + (10 x 9)
Step-by-step explanation:
Find out what 810 x 9 is:
810 x 9 = 7290
Then see which expression has the same answer. Personally I'd check all of them, but luckily the first expression is the correct one so you don't need to go through the rest (since it only asks for one correct expression):
(800 x 9) = 7200
(10 x 9) = 90
7200 + 90 = 7290
17. Two angles for a linear pair. The measure of
one angle is 30 more than the measure of the other.
Write an equation then solve for x and find the
measures of the angles.
Answer:
40
Step-by-step explanation:
Answer:
<1 = 75 degrees
<2 = 105 degrees
Step-by-step explanation:
<1 = x
<2 = x+30
<1 + <2 = 180 (straight angle)
x + x + 30 = 180 degrees
2x = 180 - 30
x = 150/2
x = 75
Divide the following polynomials. Then place the answer in the proper location on the grid. Write the quotient and remainder as a sum in this format: . Do not include parentheses in your answer.
(x2 - 4) ÷ (x - 1)
Solve the system by substitution -10x+2y=-32 9x=y
A linear formulation means that: a. the objective function and all constraints must be linear b. no more than 50% of the constraints must be linear c. only the objective function must be linear d. at least one constraint must be linear
The correct answer to a linear formulation is option a) the objective function and all constraints must be linear
A linear formulation refers to a mathematical model in which both the objective function and all constraints are expressed in linear terms. This means that the relationships between variables are represented by linear equations, or equations of the form ax + b = c, where a, b, and c are constant values and x is the variable.
The main advantage of linear formulation is that linear problems can be solved efficiently using linear programming techniques, which are well-established and widely used in various fields.
In conclusion, in a linear formulation, all variables and coefficients must be linear, and the relationships between variables are expressed as linear equations.
Therefore, The correct answer to a linear formulation is option a) the objective function and all constraints must be linear
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Suppose that ƒ and g are continuous functions such that ƒ(7) = 9 and lim[ƒ(x) +7g(x)] = 16. Find x→7 (a) g(7): (b) lim g(x): x→7
Based on the given information, we can conclude that g(7) equals 1. However, the limit of g(x) as x approaches 7 does not exist. These conclusions are obtained by applying properties of limits and continuity to the equation provided.
To find the values requested, we can use the given information and apply the properties of limits and continuity.
(a) To find g(7), we can rewrite the given limit as x approaches 7:
lim[(f(x) + 7g(x))] = 16
lim[f(x)] + 7lim[g(x)] = 16
Since f(x) is continuous, we can evaluate its limit at x = 7:
lim[f(x)] = f(7) = 9
Substituting this information back into the equation:
9 + 7lim[g(x)] = 16
7lim[g(x)] = 16 - 9
7lim[g(x)] = 7
lim[g(x)] = 1
Therefore, g(7) = lim[g(x)] = 1.
(b) To find the limit of g(x) as x approaches 7, we can again use the given equation: lim[(f(x) + 7g(x))] = 16
As x approaches 7, we know that lim[f(x)] = f(7) = 9, and we found in part (a) that lim[g(x)] = 1. Substituting these values into the equation:
9 + 7(1) = 16
9 + 7 = 16
This equation is not true, indicating that there is an inconsistency. Therefore, the limit of g(x) as x approaches 7 does not exist.
In summary: (a) g(7) = 1
(b) The limit of g(x) as x approaches 7 does not exist.
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please help due today!!!!!
The answer will be 2.
If you add 2+2+2 it will equal 6 + the 2 on the scale will be 8 that makes it equal to the other scale
Find the LCM of 2 and 10.
Answer:
10
Step-by-step explanation:
LCM is the Lowest Common multiple.
Since this pair is quite common, we can easily notice that their LCM = 10, because 10 x 1 = 10 and 2 x 5 = 10, and 10 is common in the times tables of both these numbers.
Hope this helps.
Good Luck
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Which of the following is equivalent to (6y + 4x) + 7x?
6y + 11x
6y + 28x
7x(6y + 4x)
24xy + 7y
Answer:
6y + 11x
Step-by-step explanation:
Let's simplify step-by-step.
6y+4x+7x
Combine Like Terms:
=6y+4x+7x
=(4x+7x)+(6y)
=11x+6y
Answer:The answer would be the first one 6y + 11x
Step-by-step explanation:All you would have to do is do 4x + 7x which would equal 11x. So the answer would be 6y +11x
8x6, then 11x12, 12x8 and 8x12 8x7 than add the answers together
2 V The soccer field at Niall's school is 98 meters long and 55 meters wide. What is the perimeter of the field?
Perimeter of the soccer field is 306 meters.
What is perimeter?A shape's perimeter is defined as the total length of its bounds. The perimeter of a shape is determined by summing all sides and side lengths that enclose the shape. It is measured in linear measurement units such as centimeters, meters, inches, and feet.
Given,
Length of the soccer field = 98 meters
Width of the soccer field = 55 meters wide
Perimeter of rectangle = 2(Length + Width)
Perimeter of soccer field = 2(98 + 55)
Perimeter of soccer field = 2(153)
Perimeter of soccer field = 306 meters
Hence, 306 meters is the perimeter of the soccer field.
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3 x 3 x 3 cube is painted and it is cut into 27 cubes how many small cubes will have paint on exactly two faces
Answer:
12
Step-by-step explanation:
See attached picture. We have a 3x3x3 cube. If we cut it into 27 cubes, we will end up with a rubik's cube like cube. Each of the small cubes will measure 1x1x1. So if we pay close attention to the cube, we will see that only the cubes on the edges will have two of its faces painted in two colors. We can think of the cube as having three layers. Each of the layers will have 4 edge cubes, so we will have in total:
3x4=12 cubes that will have only two of its faces with paint on them.
What is the slope of the line that passes through the points (-4, 4) and (+6,6)?
Write your answer in simplest form.
help fast
Answer:
m=1/5
Step-by-step explanation:
what is the measure of easy interior angle of a regular octagon?
The sum of the interior angle is 1080 and each angle measure is 135 degrees.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have an octagon
In an octagon the number of sides = 8
The sum of the angles in the octagon is given by:
= (n - 2)×180
n = 8
= (8 - 2)180
= 6×180
The sum of the interior angle = 1080
Each angle = 1080/8 = 135 degree
Thus, the sum of the interior angle is 1080 and each angle measure is 135 degrees.
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Gordon rolls a fair dice 162 times.
How many times would Gordon expect to roll an even number?
Answer:
hmm.........................
Answer:
64
Step-by-step explanation:
HELP ME PLS HURRY!!!!!!!
Answer:
The answer is D!
Step-by-step explanation: Type equations into y= and see what happens.
I converted 600 kcal into units of btu, joules, and kwh. the answers were 0.70, 2380, and 2.51x106; except i forgot which number goes with which units. what is the correct pairing of values and units?
600 kcal, when converted, is equivalent to 2380 BTU, 2.51 x 10^6 joules, and 0.70 kwh.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume, etc. to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
kcal, BTU, joules, and kwh are all units of energy. To convert kcal to these units, we can use the following conversions:
1 kcal = 3.96567 BTU
1 kcal = 4184 joules
1 kcal = 0.00116222 kwh
Converting 600 kcal to BTU, joules and kwh:
1 kcal = 3.96567 BTU
600 kcal = 600(3.96567 BTU)
600 kcal = 2379.4 BTU ≅ 2380 BTU
1 kcal = 4184 joules
600 kcal = 600(4184 joules)
600 kcal = 2.51 x 10^6 joules
1 kcal = 0.00116222 kwh
600 kcal = 600(0.00116222 kwh)
600 kcal = 0.697333 kwh ≅ 0.70 kwh
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