Answer:
Step-by-step explanation:
What is the price of a two year bond with a 9% annual coupon and a yield to maturity of 8%? 101.78 105.25 102.53 97.51
The bond price 101.78
What is the price of a bond?
A bond price is the present value of its future cash flows discounted at the yield to maturity which is the appropriate discount rate.
Specifically, the bond price is the present value of annual coupons for 2 two years and the face value discounted at the 8% yield to maturity.
We can determine the bond price using the present value formula of a single cash flow for all cash flows.
PV=FV/(1+r)^N
FV=future cash flow(annual coupons for 2 years and face value)
annual coupon=face value*coupon rate
face value=100
coupon rate=9%
annual coupon=100*9%
annual coupon=9
r=discount rate=8%
N=year of cash flows, 1 for year 1 and 2 for year 2
bond price=9/(1+8%)^1+9/(1+8%)^2+100/(1+8%)^2
bond price= 101.78
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Evaluate functions from their graph Problem g(3) =
See attached for the correct answer!
The notation g (3), left parenthesis, 3 refers to the output of the function when the input is x=. If the point (3, b) is on the graph, then g (3) =b.
We should look for the point on the graph whose x- coordinate is 3 is the point )3, 4).
The point on the graph whose x-coordinate is 3 is the point (3,4).
Therefore, g (3) = 4
The value of g(3) is g(3) = 4
How to evaluate the function?The function value is given as:
g(x)
The notation g(3) implies that:
We determine the value of g(x) when x = 3
From the graph, the function has a point at (3,4)
This means that:
When x = 3, g(x) = 4
i.e. g(3) = 4
Hence, the value of g(3) is g(3) = 4
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9. For Investment Plan A to C, solve for the future value at the end of the term based on the
information provided.
Investment Plan Principal
A
$7,500
B
$53,000
C
$19,000
Interest Rate
8% compounded quarterly
6% compounded monthly
5.75% compounded semi-annually
Term
3 years
4
years and 3 months
6 years and 6 months
The future value of Investment A is 9511.81
The future value of Investment B is 68,351.02
The future value of Investment C is29.067.07.
What are the future values?When an amount earns a compound interest, it means that both the amount invested and the interest rate already accrued increases in value at the next compounding date. For example, if interest is compounded quarterly, both the amount invested and the interest accrued increases every quarter.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsInvestment A = 7500 x [(1 + (0.08/4)]^(4 x 3) = 9511.81
Investment B = 53,000 x [(1 + (0.06/12)]^[(4 x 12) + 3) = 68,351.02
Investment C = 19,000 x [(1 + (0.0575/2)]^{6 x 2) + 6/2) = 29.067.07
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A state uses a combination of three letters (A-Z) followed by three digits (0-9) for their license plates. How many different license plates are possible? (Exact steps shown for credit)
A state uses a combination of three letters (A-Z) followed by three digits (0-9) for their license plates. So, there are 17576000 license plates can be made.
Given that, license plates consists of 3 letters followed by 3 digits.
Let the numbers on license plates be N
Let the letters on license plates be L
So, the license plate consisting of 3 letters and 3 digits will be LLLNNN.
Letters can be anything from A to Z.
There are 26 letter combinations for the first letter. That is applicable for the following 2 letters.
So, the combination for letters = 26×26×26 = 17576
Numbers can be anything from 0 to 9.
There are 10 combinations for each place.
So, the combination for numbers = 10×10×10 = 1000
Now, the combination for letters and numbers= 17576×1000
= 17576000
Therefore, 17576000 license plates can be made.
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50 points!!! answer this quickly with an explanation
Answer:
x = 24°
Step-by-step explanation:
If two parallel lines are being intersected by the same line, the opposite inside angles are congruent. This means that ∠EFH should be equal to ∠JHF. However, we cannot set these angles equal because we do not know the value of ∠JHG.
Line IG is intersected by line HJ. This means the value of ∠JHG is 24° (180° - 156° = 24°). Know that we know this value, we can set up an equation to find "x".
∠EFH = 2x
∠JHG = 24°
∠GHF = x
∠EFH = ∠JHF <----- Opposite interior angles are equal
∠EFH = ∠JHG + ∠GHF <----- Break ∠JHF into 2 angles
2x = 24 + x <----- Insert values
x = 24 <----- Subtract x from both sides
|6 - (-1.3) + 2| + |4 - (2.8 - 3)|
Answer:
13.5
Step-by-step explanation:
Amy made a circle graph of the U.S. population for 2000. This is the data that she used and the graph that she made.
The true statement is (b). No, because males and females should add up to 100% of the population.
How to determine the true statement?The complete question is added at the end of this solution.
From the complete question, we have the following percentages
Male = 26%Female = 27%When the above percentages are added, we have
Total = 26% + 27%
Evaluate the sum
Total = 53%
The above shows that the display of the circle graph is accurate.
This is so because the total percentage of the male and the female population must add up to 100%
Hence, the true statement is (b). No, because males and females should add up to 100% of the population.
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Complete question
Amy made a circle graph of the U.S. population for 2000. This is the data that she used and the graph that she made. U.S. Population (2000)
A circle graph titled U S Population (2000).
Males, 26 percent;
Females, 27 percent;
White, 39 percent;
Black, 6 percent;
Asian, 2 percent.
Males 138,053,563
Females 143,368,343
White 211,460,626
Black 34,658,190
Asian 10,242,998
Do you think this is an accurate display of the U.S. population? Why or why not?
a. Yes, because the percentages add up to 100%.
b. No, because males and females should add up to 100% of the population.
c. Yes, because the majority of the population is white.
d. No, because the percentage of males and females should be equal.
Which of the following functions best describes this graph?
Answer:
C
Step-by-step explanation:
We can use process of elimination
D is incorrect because the roots are 3 and -4 and there are no negative roots visible
B is wrong because the roots -3 and -6 are both negative
You can factor A into (x-2)(x-3) and the roots are 2 and 3 but the roots on the graph look closer to 3 and 6
For C it can be factored as (x-6)(x-3) so the roots are 3 and 6 which look accurate
If f(x) = x and g(x) = 2, what is (fog)(x)?
Step-by-step explanation:
=fog(x)
−2x=0
x(x−2)=0
x=0,2
A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following.
1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute.
2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses.
Mark's method is correct, because even though it is impossible to deliver mail to 1.2 houses in minute, it represents the unit rate of houses per minute .
Is Mark's method correct?The first step is to determine the unit rate of houses per minute. This can be done by dividing 36 houses by 30 minutes.
36/30 = 1.2 houses per minute
The second step is to multiply 1.2 by 7.5: 1.2 x 7.5 = 9 houses
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Explain how to determine if Carlos’s allowance is directly proportional to the number of chores he completes.
A 2-column table with 3 rows. Column 1 is labeled number of chores with entries 10, 13, 15. Column 2 is labeled Allowance with entries 75 dollars, 97 dollars and 50 cents, 112 dollars and 50 cents.
Using a proportional relationship, it is found that Carlos earns an allowance of $7.5 for each chore that he completes.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant is:
k = 75/10 = 97.5/13 = 112.5/15 = 7.5.
Hence Carlos earns an allowance of $7.5 for each chore that he completes.
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The following data show the height, in inches, of 11 different plants in a garden:
9
4
10
9
5
2
22
10
3
3
5
After removing the outlier, what does the mean absolute deviation of this data set represent?
On average, the height of a plant varies 2.8 inches from the mean of 6 inches.
On average, the height of a plant varies 3.2 inches from the mean of 5 inches.
On average, the height of a plant varies 2.8 inches from the mean of 5 inches.
On average, the height of a plant varies 3.2 inches from the mean of 6 inches.
On average, the height of a plant varies 3.2 inches from the mean of 6 inches.
What does the mean absolute deviation represent?An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The outlier is 22.
Mean absolute deviation = (1/n) x ∑ l x - m(x) l
Mean without the outlier : (9 + 4 + 10 + 9 + 5+ 2 + 10 + 3 + 3+ 5) / 10 = 6
(1/10) x ∑ l (9 - 6) + (4 - 6) + (10 - 6) + (9 - 6) + (5 - 6) + (2 - 6) + (10 - 6) + (3 - 6) + (3 - 6) + ( 5 - 6) = 3.2
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This table reflects the result of a survey conducted in a town to find out the number of cars of a particular color.
Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Graph?
A. 10 to 20
B. 20 to 100
C. 0 to 50
D. 0 to 30
the range that would be the most appropriate to represent the numerical data on the vertical axis is B. 20 to 100.
what range would be most appropriate?the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.
this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.
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The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.
Bar graph :
Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data
The range that would be the most approximately to represent the numerical data on the vertical axis is B. 20 to 100.
because
it is not possible to have zero number of cars that have a particular color,
in That way, we can eliminate options C and D .
in option A the range is too small which is not possible.
the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.
this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.
How many fewer people live in Elmira than White Plains
Population density implies the number of an object, items, or people that can be found in a unit area at a particular time. Therefore, the number of fewer people that live in Elmira than in White Plains is 27,653.
Population density implies the total number of objects, items, or people that exist in a unit area or a place at a particular time. So that the number of people that exist in a place, area, city, or country can be referred to as population, in a particular period.
Thus in the given question, it can be deduced that;
The population of people living in White Plains =56,853
The population of people living in Elmira = 29,200
So, the difference in the population between the two cities can be determined as;
= 56,853 - 29,200
= 27,653
Thus, the number of fewer people living in Elmira than in White Plains is 27,653
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Determine the output voltage of the op-amp circuit shown below:
The output voltage of the op-amp circuit shown is -5v.
What is voltage?It should be noted that voltage is the electric potential difference between two points l.
In this case, the output voltage will be:
= -5 × i
where I = 1.
Voltage = -5 × 1
= -5v
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A power company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x
0.10 (x – 400) + 60,
2 < 400
2 > 400
determines
the bill.
The function illustrates that the bill for someone who uses 600 kilowatt will be $80.
How to illustrate the function?It should be noted that a function simply means an expression that defines the relationship between a variable and another variable. In this case, one can infer that functions are essential in the formulation of relationship between the variables that are given.
Based on the information given, it should be noted that it was stated that the power company calculates a person's monthly bill from the number of kilowatt-hours.
The bill for someone who uses 600 kilowatt will be:
= 0.1(x - 400) + 60
= 0.1(600 - 400) + 60
= 0.1(200) + 60
= 20 + 60
= 80
In conclusion, the bill will be $80.
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Find the axis of symmetry:
Picture is below.
Answer:
x = -3
Step-by-step explanation:
Axis of symmetry:Axis of symmetry is the vertical line that divides the parabola into two equal halves and it passes through the vertex of the parabola.
From the graph, Vertex (-3, 4)
Axis of symmetry: x = -3
Question Find the area of a trapezoid whose height is 9 ft and w hose bases are 13.4 ft and 8.6 ft.
Answer: Use this calculator to easily calculate the area of a trapezoid given its base s and height. The formula for the area of a trapezoid is (base 1 + base 2) / 2 x height,
Step-by-step explanation:
The cubic foot is a unit of volume used in the imperial and U.S. customary measurement systems.
The cubic foot can be used to describe a volume of a given material, or the capacity of a container to hold such a material.
simplify these fractions
xy-xz/y-z
Answer:
[tex]\frac{xy-xz}{y-z} = x[/tex]
Step-by-step explanation:
Hello!
We can simplify the fraction by factoring and canceling out common factors.
Simplify[tex]\frac{xy-xz}{y-z}[/tex][tex]\frac{x(y - z)}{y-z}[/tex][tex]\frac{x(\not y\not-\not z)}{\not y \not- \not z}[/tex][tex]x[/tex]We are left with x as the final simplified form.
f(x) = √2x
g(x) = √8x
Find (f g)(x). Assume x ≥ 0.
OA. (f g)(x) = 4x
OB. (f g)(x) = 8x
O C. (f g)(x) = 4√√x
OD. (f.g)(x) = √/10x
Answer:
Step-by-step explanation:
hello :
f(x) = √(2x)
g(x) = √(8x)
(f g)(x) = f(x)×g(x) =√(2x)×√(8x) = √(16x²) =4/x/
x ≥ 0: /x/ = x (f g)(x) = 4x......(answer : A)
What is the y-intercept of the liner function? (y=3x-2)
The y-intercept of the linear function y = 3x - 2 is -2
How to determine the y-intercept?The function is given as
y = 3x - 2
The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)
As a general rule, linear functions are those functions that have constant rates or slopes
Next, we set x to 0, and calculate y to determine the value of the y-intercept
y = 3(0) - 2
Remove the bracket in the above equation
y = 3 * 0 - 2
Evaluate the product of 3 and 0 i.e. multiply 3 and 0
y = 0 - 2
Evaluate the difference of 0 and -2 i.e. subtract 0 from 2
y = -2
The above means that the value of y when x is 0 is -2
Hence, the y-intercept of the linear function y = 3x - 2 is -2
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Please help me with this i need big help in this
The value of the angle TSU is.97°. Therefore, none of the given options are correct.
How to calculate the angle?From the information given, the value of UZ will be:
= YZ - YU
= 63 - 26
= 37°
UZ = TZ = 37°
Therefore, the value of TSU will be:
= 23° + (37° × 2)
° 23° + 74°
= 97°
In conclusion, the correct option is E.
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Write the Egyptian numeral as a Hindu-Arabic numeral
Answer:
2635
Step-by-step explanation:
the first two stand for 1000
so
2000
is the first part
the second numeral stands for 100
there are 6 of them
so
600
is the second part
the third numeral stands for 10 and there are 3 of them
thus
30
is the third part
there are 5 lines so the last part is 5
so your answer is 2635
( WILL GIVE BRAINLIEST ) a dog trainer compared the mean numbers of lessons for two groups of dogs which statement is true about the data?
Answer:
Answer number 1
......................
Which equations can be used to find the lengths of the legs of the triangle? Select three options. 0.5(x)(x + 2) = 24 x(x + 2) = 24 x2 + 2x – 24 = 0 x2 + 2x – 48 = 0 x2 + (x + 2)2 = 100
The equations that can be used to find the lengths of the legs of the triangle are as follows:
100 = (x + 2)² + x²24 = 0.5 × (x + 2)(x)x² + 2x - 48 = 0How to find the equation of a right triangle?The equation that can be used to find the length of the leg of the right triangle uses Pythagoras theorem,
Therefore,
c² = a² + b²
where
c = hypotenuse sidea and b are the other legsTherefore,
10² = (x + 2)² + x²
100 = (x + 2)² + x²
Therefore, using the area of a triangle,
area of a triangle = 1 / 2 bh
where
b = baseh = heightTherefore,
area of the triangle = 1 / 2 × (x + 2)(x)
24 = 0.5 × (x + 2)(x)
24 = x² + 2x / 2
cross multiply
48 = x² + 2x
x² + 2x - 48 = 0
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Which of the following characteristics describe the graph of an exponential function?
Answer:
A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION
f
(
x
)
=
b
x
An exponential function with the form
f
(
x
)
=
b
x
,
b
>
0
,
b
≠
1
, has these characteristics:
one-to-one function
horizontal asymptote:
y
=
0
domain:
(
−
∞
,
∞
)
range:
(
0
,
∞
)
x-intercept: none
y-intercept:
(
0
,
1
)
increasing if
b
>
1
decreasing if
b
<
1
Step-by-step explanation:
hope it helps you
Consider the graph of f(x) given below.
A curve labeled f of x declines through the points (negative 4, 7), (negative 3, 6), (negative 2, 5), (0, 3), (2, 1), (3, 0), (4, negative 1), (5, negative 2), (6, negative 3) and (7, negative 4) on the x y coordinate plane.
The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
A.
g(x) = f(x + 2)
B.
g(x) = f(x - 5)
C.
g(x) = f(x) - 2
D.
g(x) = f(x) - 5
The functions could represent g(x) is B. [tex]g(x) = f(x - 5)[/tex]
How can the function be determined?Using the general equation [tex]g(x) =f(x)+ b[/tex]
The g(x) has intercept of y=-2,
Then the y-intercept of f(x) is at y=3
If we find the difference between both y-intercepts, we have
( -2 -3) = -5
Then b=-5
Hence, [tex]g(x) = f(x - 5)[/tex] is correct.
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( 13/7 ) ^2
[answer in fraction form]
Answer:
[tex]\frac{169}{49}[/tex]
Step-by-step explanation:
Square the top and bottom numbers in the fraction
13^2 = 169
7^2 = 49
169/49
Select all of the following that are quadratic equations.
5x-1=3x+8
5 x- 3 = 0
x²-2x = 4x+1
2x²+12 x = 0
x³-6x² + 8 = 0
9x²+6x-3=0
The quadratic equations among all the options given are [tex]x^{2} -2x=4x+1[/tex],[tex]2x^{2} +12x=0[/tex] and [tex]9x^{2} +6x-3=0[/tex].
Given six equations as under:
5x-1=3x+85 x- 3 = 0x²-2x = 4x+12x²+12 x = 0x³-6x² + 8 = 09x²+6x-3=0We are required to find the quadratic equations among the above equations.
Quadratic equations are those equations in which the highest power of the variable present in the equation is 2.
It is in form of [tex]ax^{2} +bx+c=0[/tex].
In our options quadratic equations are [tex]x^{2} -2x=4x+1[/tex],[tex]2x^{2} +12x=0[/tex] and [tex]9x^{2} +6x-3=0[/tex].
5x-1=3x+8: It is not a quadratic equation as the highest power is 1.
5 x- 3 = 0:It is also a linear equation not quadratic equation.
x³-6x² + 8 = 0:It is a cubic equation not a quadratic equation.
Hence the quadratic equations among all the options given are [tex]x^{2} -2x=4x+1[/tex],[tex]2x^{2} +12x=0[/tex] and [tex]9x^{2} +6x-3=0[/tex].
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PLEASE PLEASE PLEASE answer this question!!! FROM KHAN ACADAMY PRE ALGEBRA
Answer:
B
Step-by-step explanation:
Hope this helps:)
Answer:
B & D
Step-by-step explanation:
A The variable "x" is canceled does not apply
B One solution
C does not apply
D One solution
Hope this helps