Answer:
Domain of (cd)(x) is all real numbers values except 2.
The value of (f/g)(5) is 270
Step-by-step explanation:
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 11 percent, has a YTM of 9 percent, and has 15 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 9 percent, has a YTM of 11 percent, and also has 15 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today?
Answer:
Price of Bond X : $1,162.89
Price of bond Y : $854.66
Step-by-step explanation:
Given the following information :
Bond X :
Face value = $1000
Yield to maturity (YTM) / market interest rate = 9%
Coupon rate = 11%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $1,162.89. The bond is sold at premium, since the par value is lesser than the bond price.
For Bond Y:
Face value = $1000
Yield to maturity (YTM) / market interest rate = 11%
Coupon rate = 9%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $854.66. The bond is sold at a discount , since the par value is greater than the bond price.
Point AAA is at {(-6,-5)}(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and point CCC is at {(4,0)}(4,0)left parenthesis, 4, comma, 0, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3.
Answer:
B(-2,-3).
Step-by-step explanation:
The given points are A(-6,-5) and C(4,0).
We need to find the coordinates of point B on segment AC such that AB:BC=2:3.
It means point B divides the line segment AC in the ratio of 2:3.
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Using section formula, the coordinates of point B are
[tex]B=\left(\dfrac{2(4)+3(-6)}{2+3},\dfrac{2(0)+3(-5)}{2+3}\right)[/tex]
[tex]B=\left(\dfrac{8-18}{5},\dfrac{0-15}{5}\right)[/tex]
[tex]B=\left(\dfrac{-10}{5},\dfrac{-15}{5}\right)[/tex]
[tex]B=\left(-2,-3\right)[/tex]
Therefore, the coordinates of point B are (-2,-3).
Answer:
Therefore, the coordinates of point B are (-2,-3).
Step-by-step explanation:
Given that sin x < cos x and 0°< x < 90°,state a possible value of x. Explain your answer clearly.
Answer:
30°Step-by-step explanation:
Given sinx< cos x and 0°< x < 90°, to get the possible value of x, we need to solve the given inequality for x.
sinx< cos x
Dividing both sides by cos x
sin x/cos x < cos x/cos x
tan x < 1
x < [tex]tan^{-1}1[/tex]
x < 45°
Since x is less than 45°, then one of the possible value of x can be 30° since 30° is less than 45° and 30° falls within the given range of values.
explain me step by step plz
Answer:
28
Step-by-step explanation:
We know that the heights and bases of all of the parallelograms will be the same because they are equal, therefore, since the height of 2 parallelograms is 14, the height of one parallelogram is 14 / 2 = 7. Since the areas of all of the parallelograms are congruent, the area of one parallelogram is 308 / 4 = 77. The parallelogram area formula is A = bh where A, b and h are area, base and height respectively and we know both the area and height so we need to solve for b. Doing so we get 77 = b * 7 so that means b = 11. The length of y is two bases + 6 and since we know the base is 11, y = 11 * 2 + 6 = 22 + 6 = 28.
Answer:
28 cm
Step-by-step explanation:
The 4 parallelograms are congruent.
The height and base of each parallelogram are equal.
[tex]h=\frac{14}{2}[/tex]
[tex]h=7[/tex]
Area of each parallelogram:
[tex]A=\frac{308}{4}[/tex]
[tex]A=77[/tex]
Apply the formula for the area of a parallelogram.
[tex]A=bh[/tex]
[tex]b=base\\h=height[/tex]
Solve for base.
[tex]77=b(7)[/tex]
[tex]\frac{77}{7} = b[/tex]
[tex]11=b[/tex]
The sum of 2 bases of the 2 parallelograms and 6 centimeters is the value of y.
[tex]y=11+6+11[/tex]
[tex]y=28[/tex]
Brenna is going on a backpacking trip with her family. They need to hike to their favorite camping spot and set up the camp before it gets dark. Sunset is at 9:26 P.M. It will take 3 hours and 3 minutes to hike to the camping spot and 1 hour and 26 minutes to set up the camp. What is the latest time Brenna and her family can start hiking?
Answer:
Latest time for start hiking = 4:57 PM
Step-by-step explanation:
Given:
Time of sunset = 9:26 P.M
Time taken for hiking = 3 hours and 3 minutes (03:03)
Time taken for set up = 1 hour and 26 minutes (1:26)
Find:
Latest time for start hiking
Computation:
Latest time for start hiking = Time of sunset - Time taken for set up - Time taken for hiking
Latest time for start hiking = 9:26 - 1:26 - Time taken for hiking
Latest time for start hiking = 8:00 PM - 03:03
Latest time for start hiking = 7:60 - 03:03
Latest time for start hiking = 4:57 PM
If f(x) = 4x 6 and g(x) = x + 2,
what is (fºg)(7)?
Step-by-step explanation:
(f○g)(7)
= f(g(7))
g(7) = 7 + 2
= 9
f(9) = 4(9) .....
......
A gym has yoga classes. Each class has students. If there are classes, write an equation to represent the total number of students taking yoga.
Answer:
s = 14c
Step-by-step explanation:
Which is the correct way to model the equation 5 x + 6 = 4 x + (negative 3) using algebra tiles? 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side 6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side 5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side
Answer:
answer a is correct
Step-by-step explanation:
Answer: A. 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
Step-by-step explanation: On Edge!!!!!!!!!!!
Select the correct answer. The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35.5° with respect to the ground. If the ladder is moved by x meters toward the wall, it makes an angle of 54.5° with the ground, and its top is 14 meters above the ground. What is x rounded to the nearest meter?
A. 7 meters B. 4 meters C. 3 meters D. 1 meters
Answer:
4 trust me
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
trust lol
1.01 LC)Look at the following numbers: − 4, −1, 0, 4 Which pair of numbers has a sum of 0?
Answer:
-4 + 4
Step-by-step explanation:
It is -4 + 4 because if you imagine on a number line, you go left 4 (since it is negative) and add 4, so you go to the right 4, which leaves to 0.
Or, you can think of it like this:
+4 - 4
= 4 - 4
= 0.
I hope this helps. Sorry if I was wrong
Answer:
the answer would be -4 and 4 thess two numbers has a sum of 0
What’s the value of 9 percent
Answer:
Hey!
Well because you havent really specified the question...
I have given you 9% of different numbers!
Step-by-step explanation:
9% of 1 = 0.09
9% of 10 = 0.9
9% of 100 = 9
9% of 1,000 = 90
9% of 10,000 = 900
________________
If you need more values...just let me know!
Hope this helps!
$15.30 for 3 small pizzas
Answer:
$5.1
Step-by-step explanation:
If it costs $15.30 for 3 pizzas, then we can divide 15.30 by 3 to get $5.1. This concludes that the cost for one pizza is $5.1.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
The company recently reduced its production to 1 million bicycles, but maintained its profit of 30 million dollars. What greater number of bicycles had the company previously produced to make the same profit? Round your answer to the nearest tenth.
Answer:
1.3 million bicycles!
Step-by-step explanation:
Answer:
1.3 million bicycles
Step-by-step explanation:
got it right on edge 2020
7
81 - - א 3
= 81
27
Find the value of q.
Please
Answer:
q = -7
Step-by-step explanation:
3 ^ -q * 1/27 = 81
Rewriting each as a power of 3
3 ^ -q * 3^ -3 = 3 ^4
We know that a^b * a^ c = a^ ( b+c)
3 ^ (-q -3) = 3 ^4
The bases are the same so the exponents are the same
-q-3 = 4
Add 3 to each side
-q-3+3 = 4+3
-q =7
Divide by -1
q = -7
Simple and easy question
please help
Answer:
Volume = πr²h
= 3.14 * 5² * 4
= 314 cubic yards
Answer:
[tex]314 yd^3[/tex]
Step-by-step explanation:
Hey there!
Volume = π r^2 h
Plug in,
(3.14)(5^2)(4)
5•5 = 25
25 • 4 = 100
3.14 • 100
= 314
Hope this helps :)
Need!!!!! Help!!!!!!
Answer:180
Step-by-step explanation:
Answer 180
GANNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNG
.Write the following number in the standard form. a) 0.000000012
Answer:
[tex]1.2 * 10 ^{-8}[/tex]
Step-by-step explanation:
=> 0.000000012
Moving the decimal point after 1st non-zero digit:
=> [tex]1.2 * 10 ^{-8}[/tex]
Answer:
Scientific Notation: 1.2x10^-8, or 1.2e-8
Step-by-step explanation:
Joe had 21 pennies, but then he lost 11 pennies. His friend gave him 5 more pennies. How many pennies does Joe have now?
Answer:
15 pennies
Step-by-step explanation:
lost means subtract and gave him means add
21 -11 +5
15
Answer:
15 pennies
Step-by-step explanation:
You can start by saying that after losing 11 pennies from his original amount it is 21-11, which equals to 10.
THen the question says that his friend gives him an additional 5 pennies, which is shown by 10+5=15
THerefore, all you had to do was use the information given and add or subtract the number of pennies from the original.
Answer: 15 pennies
Hope this helped
fractorise the following (a-b)²+(a-b)
Step-by-step explanation:
taking common (a-b)
so we get the answer
The parallelogram is rotated 90° anticlockwise about point G
Which of the points A , B , C and D is the image of point R ?
Answer:
C
Step-by-step explanation:
Let's say that point G is the origin, (0,0). Then, the coordinates of point R would be (-3, -5). Rotating the point 90° counter-clockwise would result in the final coordinates being (5, -3), therefore the answer is C.
Simplify the radical /81d^6.
O 9d2
81d3
O 9d3
O 906
Answer:
The answer is option C.
Step-by-step explanation:
[tex] \sqrt{ {81d}^{6} } = \sqrt{81} \times \sqrt{ {d}^{6} } \\ = 9 {d}^{3} [/tex]
Hope this helps you
Answer:c
Step-by-step explanation:
Three angles fits exactly around a point. Two of the angles are equal.The diffrence between the largest and the smallest angle is 30.Find the size ofthe three angles
Answer:
The angles are 110, 110 and 140
Step-by-step explanation:
Let the equal angles be x.
So we have angles x, x and another third one
Now, the other third angle is 30 degrees larger than x, this means that the other third angle is 30 + x
Since they are angles at a point, adding the three together will make or give 360.
Thus,
x + x + x + 30 = 360
3x + 30 = 360
3x = 360-30
3x = 330
x = 330/3
x = 110
So the other third angle is 110 + 30 = 140
So the angles are 110, 110 and 140
In Spencer’s garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is
Answer:
B
Step-by-step explanation:
1.5(c) - 7
It is this because his garden is 7 less than 1.5 times the carnation bushes not 7 times the carnation bushes.
Hope this helps:)
Answer:
The required expression is 1.5c-7
Step-by-step explanation:
Here, c represents the number of carnation bushes,
Since, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes,
That is, the number of roses = 1.5c - 7
Hence, the required expression that represents the number of roses is 1.5c - 7.
Which phrase describes an unknown or changeable quantity?
A. 2 times the number of pages in the book
B. 60 seconds multiplied by 5
C. 3 dollars and 76 cents
D. 15 years of schooling
helpp help meeee plsss pls
Answer: w might be 9
Step-by-step explanation: the length of each sides of the smallest shaped polygon is 3 times less( like 6 in the biggest shape, it is 2 in the smallest one= 6/3:2) x might be 12 . And in other ways we can say that each length of the biggest shaped polygon is 3× the length of the smallest one.
Answer:
9solution,
The two polygons are same.
[tex] \frac{4}{x} = \frac{y}{15} = \frac{3}{w} = \frac{2}{6} = \frac{z}{4} [/tex]
[tex] \frac{3}{w} = \frac{2}{6} \\ or \: 2w = 3 \times 6( \: cross \: multiplication) \\ or \: 2w = 18 \\ or \: w = \frac{18}{2} \\ w = 9[/tex]
Hope this helps...
Good luck on your assignment..
Write the rule for finding the coordinates of a point that has undergone a dilation (with the origin as the point of dilation). Use this rule to find the coordinates of this point's dilation from the origin, with a scale factor of 3: (4, 10).
Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13
Answer:
sin = 12/13 and tan = 12/5
The value of sin α will be 12/13 and tan α will be 12/5 for the given triangle such that cosα= 5/13.
What is a trigonometric function?Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.
We know that
sin²α + cos²α =1 ⇒ sin²α = 1 - cos²α
Given that cosα = 5/13 so by putting it
sin²α = 1 - (5/13)²
sin²α = 144/169 ⇒ sinα = 12/13.
Now since tanα = sinα /cosα
tanα = (12/13) ÷ ( 5/13)
tanα = 12/5.
Hence the value of sinα will be 12/13 and tanα will be 12/5.
For more information about the trigonometric function
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between which to whole numbers does the square root of 37 lie?
Between 6 and 7
6×6=36
7×7=49
hopefully this helped
The number √37 is lies between whole numbers 6 and 7.
We have to given,
A number is, √37
By the definition of square root, we get;
⇒ √37 = 6.08
And, We know that,
Number 6.08 is lies between whole number 6 and 7.
Hence, We get;
⇒ 6 < √37 < 7
Therefore, The number √37 is lies between whole numbers 6 and 7.
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PLEASEEE HELPPP IT DUE TODAYYY
Answer:
All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.
Your club has been asked to contribute to a service project benefiting a local charitable organization. You plan to buy a combination of $5 and $10 gift cards to donate. You plan to buy exactly 20 gift cards and want to spend between $150 and $160. What are the possible combinations of $5 and $10 gift cards your club can purchase? (Write a compound inequality in one variable to solve this problem).
Answer:
the possible combinations of $5 and $10 gift cards your club can purchase are :
eight $5 gift cards and twelve $10 gift cards
nine $5 gift cards and eleven $10 gift cards
or ten each of $5 gift cards and $10 gift cards
Step-by-step explanation:
From the information given:
You plan to buy a combination of $5 and $10 gift cards
You plan to buy exactly 20 gift cards and want to spend between $150 and $160.
The objective is to determine the possible combinations of $5 and $10 gift cards your club can purchase?
Let assume the g is the number of the $5 gift cards bought;
then (20 - g) will be the number of the $10 gift card bought.
Thus; the compound inequality for the amount spent between $150 and $160 will be:
= 150 ≤ 5g + 10(20 - g) ≤ 160
= 150 ≤ 5g + 200 - 10g ≤ 160
= 150 ≤ 5g -10 g + 200 ≤ 160
= 150 ≤ -5g + 200 ≤ 160
= 150-200 ≤ -5g ≤ 160 -200
= -50 ≤ -5g ≤ -40
Divide through by -5
= 10 ≥ g ≥ 8
= 8 ≤ g ≤ 10
Thus; the possible combinations of $5 and $10 gift cards your club can purchase are :
eight $5 gift cards and twelve $10 gift cards = i.e 8 ×$5 + 12 ×$10
= $40+$120
=$160
nine $5 gift cards and eleven $10 gift cards
= 9 ×$5 + 11 ×$10
= $45 + $110
= $155
or ten each of $5 gift cards and $10 gift cards
= 10 ×$5 + 10 ×$10
= $50 + $100
= $150
These combinations falls in between the range of $150 and $160.