Assume you are buying a bond with a par value of $1,000 which is listed in the Wall Street Journal at a price of 100.50. Find the bond price.
Answers
Assume you are buying a bond with a par value of $1,000 which is listed in the Wall Street Journal at a price of 100.50. The bond price is: $1,005.
How to find the bond price?Using this formula to determine the bond price
Bond price = Bond par value × price/100
Where:
Bond par value = $1,000
Price = 100.50
Let plug in the formula
Bond price = $1,000 × 100.50 /100
Bond price = $100,500 /100
Bond price =$1,005
Therefore the bond price is $1,005.
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Related Questions
a right triangle is given. the first side has length 9. the second side has length x. the third side of length 15 is opposite the right angle. g
Answers
The second side of triangle has the length is 12cm.
What is the Pythagorean theorem theory?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic Euclidean geometry relationship between a right triangle's three sides.Pythagoras discovered that the square of the hypotenuse is equal to the sum of the squares of the other two sides for a right angle triangle with one of the angles being 90 degrees: a2+b2=c2.A, B, and C are the three positive integers, and the Pythagorean triples are written as a2+b2 = c2. These triples are shown as (a,b,c). Here, the right-angled triangle's base, hypotenuse, and perpendicular are denoted by letters a, b, and c, respectively. The most popular and diminutive triplets include (3,4,5).Given data :
We know that,
BY p Pythagorean theorem,
a² + b² = c²
9² + b² = 15²
b² = 15² - 9²
b² = 144
b = 12
Therefore,
The second side means the hypotenuse is equal to 12cm.
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Which best compares the volumes of the two cylinders? Geometry
Answers
Answer:
The correct answer would be C
Step-by-step explanation:
please mark brainliest
The choice which best compares the volume of the cylinders is; Choice B; The volume of cylinder B is the same as that of cylinder A.
Which best compares the volumes of the two cylinders?From geometry, It can be concluded that the volume of a solid shape is the product of its cross sectional area and the height over which the area spans. On this note, since the volume of a cylinder is dependent on the radius and height of the cylinder, both cylinders have equal volumes.
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Which equation is equivalent to the given equation?
7m + 11 = : -4(2m + 3)
O A.
15 m = -23
B.
-m = -1
C.
-m = 1
D.
- 15 m = -23
Answers
Answer:
B
Step-by-step explanation:
7m+11= -4 x 2m + (-4 x 3)
7m +11 = -8m -12
7m +8m = -12-11
15m = -23
Answer:
A: 15m= -23
Step-by-step explanation:
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answers
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
Fill in the blanks: for a and b
Answers
Answer: b for a sorry that’s all I Could understand
Step-by-step explanation:
Find the equation of a line with the given informatio f(-6) = 9 and f (20) = 5.
Answers
The equation of the line is with the coordinates f(-6) = 9 and f (20) = 5. is y = (-2/13)x + 117/13.
What is slope-intercept form?Y = mx + b, where m is the line's slope and b is the y-intercept, is the slope-intercept form of a linear equation. This form is helpful since it provides information about the line's slope and y-intercept in a clear and understandable manner. We can quickly determine the slope of the line (m) and its point of intersection with the y-axis by glancing at the equation (b). By beginning at the y-intercept and using the slope to determine other locations along the line, we can also graph the line using this method.
The slope of the line is given as:
m = (y2 - y1) / (x2 - x1)
Substitute the given coordinates:
m = (5 - 9) / (20 - (-6))
m = -4 / 26
m = -2 / 13
Using the point slope form we have:
y - y1 = m(x - x1)
Using the point (-6, 9):
y - 9 = (-2/13)(x - (-6))
y - 9 = (-2/13)x - 12/13
y = (-2/13)x + 117/13
So the equation of the line is y = (-2/13)x + 117/13.
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When the sum of the internal angles of a polygon is 10 right angles, then how many sides does it have?
Answers
Answer:
7
Step-by-step explanation:
Let's say our sum is s.
s = 10 right angles
a right angle is 90 degrees
s = 10 (90)
s= 900
Given the amount of sides in a polygon (n), the sum of the interior angles is equal to
(n-2) * 180
Therefore, the sum of the interior angles is equal to
(n-2) * 180 = 900
divide both sides by 180 to help isolate n
n-2 = 5
add 2 to both sides to isolate n
n = 7
Question 8
3 pts
A sequence starts with the terms 1 and 10.
1. Find the next two terms if it is arithmetic: 1, 10,
2. Find the next two terms if it is geometric: 1, 10,
3. Find two possible next terms if it is neither arithmetic nor geometric: 1, 10,
Question 9
3 pts
Answers
Help please fast the format is Y-____=_____(x - ____) and i need the actual answer
Answers
9514 1404 393
Answer:
y -195 = 15(x -9)$60Step-by-step explanation:
The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...
y -195 = 15(x -9)
__
The "one-time fee" is the cost when hours are zero.
y -195 = 15(0 -9)
y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate
The one-time fee is $60.
please please please help!!!!!
Answers
Answer:
A is correct
5(3.14)= 15.70
If Catlain had 3 apples and Josh had 75% more apples than Catlain. How many apples did Josh have?
Answers
Answer:
5 apples
Step-by-step explanation:
Write the negation of each of the following logical expressions so that all negations immediately precede predicates. In some cases, it may be necessary to apply one or more laws of propositional logic.
a. ∃x ∀y(P(x,y) → Q(x,y))
b. ∃x ∀y(P(x,y) → P(y,x))
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Answers
Answer:
a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)] ∨ ∃x ∃y ¬ [Q(x,y)]
Step-by-step explanation:
a.∃x ∀y(P(x,y) → Q(x,y))
Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]
= ∀x ¬ [ ∀y(P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ (P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ ¬P(x,y) ∨ Q(x,y) ]
= ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. ∃x ∀y(P(x,y) → P(y,x))
Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]
= ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]
= ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]
= ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]
∴ we get
Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]
= ¬ [ ∃x ∃y P(x,y) ] ∨ ¬ [ ∀x ∀y Q(x,y) ]
= ∀x¬ [ ∃y P(x,y) ] ∨ ∃x ¬ [ ∀y Q(x,y) ]
= ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
∴ we get
Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
Twelve of the students in the band will play solos. These 12 students only make up 24% of the band. How many students are in the band?
Answers
Answer:
There should be 50 students in band.
Hope this helped!!
Consider a triangle ABC . Suppose that B=126°, a=38, and c=22. Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
Answers
Answer:
b = 54; A = 34.7°; C = 19.3°
Step-by-step explanation:
To solve the triangle means that we have to calculate the values of the missing angles and the missing sides.
We are given;
B = 126°, a = 38, and c = 22
Using law of cosines, we can find side b.
So;
b² = a² + c² - 2ac*cosB
Thus;
b² = 38² + 22² - 2(38 × 22)cos 126
b² = 1444 + 484 - 1672(-0.5878)
b² = 2910.8016
b = √2910.8016
b = 53.9518 ≈ 54
Using Law of sines, we can find the other 2 angles a and c.
Thus;
a/sin A = b/sinB = c/sinC
Thus, for A;
a/sin A = b/sin B
38/sin A = 53.9518/sin 126
sinA = (38 × sin 126)/53.9518
sinA = 0.5698
A = sin^(-1) 0.5698
A = 34.7363° ≈ 34.7°
Likewise;
b/sinB = c/sinC
53.9518/sin 126 = 22/sinC
sinC = (22 × sin 126)/53.9518
sinC = 0.3299
C = sin^(-1) 0.3299
C = 19.2627 ≈ 19.3°
6. A Civil War cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path of the cannon ball is parabolic and can be represented by y=-0.04x2 + 4x + 1, where y represents the height of the ball in meters and x represents the horizontal distance of the ball from the cannon. The incline of the hill can be represented by the equation y = 0.8125x. How far will the cannon ball have moved horizontally from the cannon when it hits the hill?
Answers
Answer: 80
Step-by-step explanation:
Following are the solution to the given question:
Its canon is placed on the floor, as we knew from the very first part. So, for Canon, \(y = 0\). Consider the origin, which is located at the bottom of a hill. So, to find the canon's x value, we must solve the quadratic formula: \(-0.04x^2 + 4x + 1 = 0\) , which has only one negative solution,\(0.25.\) We know that the x value cannot be positive as this would suggest that the cannon is located inside of the hill. This hill's equation is\(y = 0.8125x\) , and we understand that now the cannonball will collide with it at the junction of the hill line and its hyperbolic path. So, when the formulas are combined, we get\(\to 0.8125x =-0.04x2 + 4x + 1\\\\\to 0.04x^2 - 3.1875 - 1 = 0\\\\\)
It has the only positive root as \(80\). As a result, the y value is \(0.8125\times 80 = 65\)The horizontal distance will be the x value + the \(0.25 = 80.25\)Its horizontal distance = x value+\(0.25= 80+0.25 = 80.25\)Learn more:
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please explain in detail how you solved.
Answers
Step-by-step explanation:
Since this is a right triangle and we are given an angle measure that measure 45, the other angle measure also measure 45.
So this means we are dealing with a 45-45-90 triangle.
A 45-45-90 triangle legs are equal to each other and the hypotenuse measures sqr root of 2 times more than the legs.
The hypotenuse measure 2 times sqr root of 14 so divide by sqr root of 2 to find x and y.
\( \frac{2 \sqrt{14} }{1} \times \frac{1}{ \sqrt{2 } } = \frac{ \sqrt{56} }{ \sqrt{2} } = \sqrt{28} = 2 \sqrt{7} \)
Since x and y are equal, they both measure
\(2 \sqrt{7} \)
PLEASE HELP ME QUICK!!A train moves at a constant speed of 8 miles every 6 minutes. Fill in the table below to show how far the train travels according to different
amounts of time.
Answers
Answer:
1. 4
2. 20
3. 80
Step-by-step explanation:
Elena receives $131 per year in simple interest from three investments totaling $3000. Part is invested at 3%, part at 4% and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $___ the amount invested at 4% is $___ , and the amount invested at 5% is $___
Answers
Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
I need help ASAP please no links
Answers
Answer: D' = (1, -1)
Step-by-step explanation:
When dilating by a 1/2 you take a point and divide the x and y of the point in half. So D before is (2,-2) and then divide that by a 1/2, which gives us our answer (1, -1).
Help pls I need to pass
Answers
Answer:
u still doing school :)
Step-by-step explanation:
What fraction is less than 5/8
Answers
Answer:
1/2 is 1 example
Step-by-step explanation:
what
A fraction that is less than 5/8 is 4/8
How to determine the fraction?The fraction is given as:
Fraction = 5/8
A fraction less than 5/8 will have the same denominator but a smaller numerator compared to 5/8
Take for instance, the numerator can be
1 to 4
So, we have;
Smaller fraction = 4/8
Hence, a fraction that is less than 5/8 is 4/8
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The library has 200 magazines. Each bin holds 100 magazines. How many bins does the
library need to hold all of its magazines?
bins
Answers
The library needs 2 bins to hold all of it's magazines
The library has 200 magazines
Each bin can hold 100 magazines
Therefore the number of bins required in the library can be calculated as follows;
= 200/100
= 2
Hence the number of bins needed is 2
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What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.x + 14) – 3?
Answers
Answer:
\(x =-24\)
Step-by-step explanation:
Given
\((\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3\)
Required
Solve for x
\((\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3\)
Open all brackets
\(\frac{2}{3}*\frac{1}{2}x + \frac{2}{3}*12 = \frac{1}{2}*\frac{1}{3}x + \frac{1}{2}*14 - 3\)
\(\frac{2 * 1}{3 *2}x + \frac{2 * 12}{3}= \frac{1 * 1}{2 * 3}x + \frac{1 * 14}{2} - 3\)
\(\frac{1}{3}x + \frac{24}{3}= \frac{1}{6}x + \frac{14}{2} - 3\)
\(\frac{1}{3}x +8= \frac{1}{6}x + 7 - 3\)
Collect like terms
\(\frac{1}{3}x - \frac{1}{6}x =7 - 3 -8\)
\(\frac{1}{3}x - \frac{1}{6}x =-4\)
Solve fraction
\(\frac{2-1}{6}x =-4\)
\(\frac{1}{6}x =-4\)
Multiply both sides by 6
\(6 * \frac{1}{6}x =-4 * 6\)
\(x =-4 * 6\)
\(x =-24\)
Answer:
Step-by-step explanation:
Given
Required
Solve for x
Open all brackets
Collect like terms
Solve fraction
Multiply both sides by 6
The distance needed to stop a car after applying the brakes varies directly with the square of the car’s speed. The table below shows stopping distances for various speeds.
Determine the average rate of change in braking distance, in ft/mph, between one car traveling at 50 mph and one traveling at 70 mph. Explain what this rate of change means as it relates to braking distance.
Answers
The average rate of change in braking distance, in ft/mph, between one car traveling at 50 mph and one traveling at 70 mph is 7.5 ft/mph
The rate of change as it relates to the braking distance is the rate of change of speed to the distance.
How to find the average rate ?It is a measure of how much the function changed per unit, on average, over that interval.
In other words, the average rate of change is the ratio of the change in output values to the change in input values.
Therefore,
average rate of change in braking distance, in ft/mph, between one car traveling at 50 mph and one traveling at 70 mph = 306.25 - 156.25 / 70 - 50
average rate of change in braking distance, in ft/mph, between one car traveling at 50 mph and one traveling at 70 mph = 150 / 20
average rate of change in braking distance, in ft/mph, between one car traveling at 50 mph and one traveling at 70 mph = 15 / 2 = 7.5 ft/mph
The rate of change as it relates to the braking distance is the rate of change of speed to the distance.
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Which function has the same range as \(f(x)= - 2\sqrt{x} =-3 + 8\\\)
Answers
Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].
To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).
The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.
In other words, the range of f(x) is (-∞, 5].
So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.
Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.
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Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.
Answers
Step-by-step explanation:
Team A time is 1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr
Team B = 1 / ( 1/3 + 1/3) = 1 1/2 hr
Team A wins !
Please help I am so so confused thank you all
Answers
y-(-9) = -6(x-(-4)), y = -6x-33
Please please look at the picture and answer the question thank you for your help
Answers
Answer:
20 for both
Step-by-step explanation:
hope this helps
Describe how to scan a stack S containing to see if it contains a particular value x using only a queue Q and a constant number of reference variables. The stack contains n values and Q is initially empty. When the process finishes, the elements of S must be in their original order.
Answers
To scan a stack S containing n values and see if it contains a particular value x using only a queue Q and a constant number of reference variables.
we can follow these steps:
1. Initialize a reference variable top to point to the top of the stack S.
2. While top is not null, do the following:
a. If the value at the top of S is equal to x, return true.b. Remove the value at the top of S and add it to the back of queue Q.c. Update the value of top to point to the new top of S.3. While Q is not empty, do the following:
a. Remove the value at the front of Q and push it onto the top of S.4. Return false.
To begin, we set a reference variable top to point to the top of the stack S. Then, we use a while loop to iterate over the stack S until top is null. Each iteration begins by determining if the value at the top of S is equal to the value we are looking for, x. If it is, we can return true right away. Instead, we remove the value at the top of S and put it to the bottom of queue Q, inverting the order of the elements in S. We then iteratively update the value of top to point to the new top of S.
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Pls no links, I really need help
Answers
Answer:
The answer should be b. (0,2) because that the order pair for y
Answer:
(2,3) makes the equation false.
Step-by-step explanation:
a. -1 = 1/2(0)-1
-1 = -1
b. 0 = 1/2(2) - 1
0 = 1 - 1
0 = 0
c. 2 = 1/2 (3)-1
2 = 3/2 - 1
2 = .5
d. 1=1/2(4)-1
1=2-1
1=1