Answer:
The correct answer will be "1197.93".
Step-by-step explanation:
According to the question:
Semi annual coupon:
= [tex]10 \ percent\times \frac{1000}{2}[/tex]
= [tex]50[/tex]
Number of periods:
= [tex]20\times 2[/tex]
= [tex]40[/tex]
Semi annual YTM:
= [tex]\frac{8}{2} \ percent[/tex]
= [tex]4 \ percent[/tex]
Now,
The market value of bond will be:
= PV of Coupons + PV of Par Value
On putting the values, we get
= [tex]50\times (\frac{(1-(1+4 \ percent)^{-40})}{4 \ percent} )+\frac{1000}{(1+4 \ percent)^{40}}[/tex]
= [tex]1197.93[/tex]
Note: percent = %
The cost of using a telephone in a hotel meeting
room is $0.20 per minute. Which of the following
equations represents the total cost in dollars, for
h hours of phone use?
so its 12 dollars an hour
x means the cost
12(h)= x
Answer:
c = 0.20 (60h)
Step-by-step explanation:
The hotel charges $0.20 per minute to use the meeting‑room phone. This per‑minute rate can be converted to the hourly rate using the conversion 1 hour =60 minutes, as shown in the following equation.
[tex]\frac{0.20}{minute}[/tex] × [tex]\frac{60 minutes}{1 hour}[/tex] =[tex]\frac{0.20 * 60}{hour}[/tex]
Thus, the hotel charges 0.20×60 per hour to use the meeting‑room phone.
Therefore, the cost c, in dollars, for h hours of use is c=(0.20×60)h which is equivalent to c=0.20(60h).
-3(x+n)=x
Rewrite each equation to solve for x
Answer:
isolate the variable by dividing each side by factors that dont contain the variables. so this mean -3(x+n)=x becomes x= -3n over 4, I hope this helps.
It costs $2.37 to paint one square foot of wall. You need to paint a wall that measures 864.5 square feet. It will cost to paint that wall. (Round your answer to the nearest hundredth)
a $204.88
b $2,048.87
c $2,048.86
d. $2,848.87
Answer:
B- hope this helps:)
Step-by-step explanation:
The total cost to paint 864.5 square feet of wall is $2,048.87.
It is given that the cost to paint one square foot of wall is $2.37.
We are asked to find the total cost to paint 864.5 square feet of wall.
What are the different place values in a given number with a decimal point?If we have a number that has a decimal point then we have two parts.
The whole number part and the fractional part.
After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.
You can also see the given figure below.
We know that,
One square foot = $2.37.
Remember that Feet is the plural form of the foot.
We can write,
864.5 square feet = 864.5 x one square foot
Because in 864.5 square feet we have 864.5 one square foot.
And since one square foot cost $2.37.
864.5 square feet will cost 864.5 x 2.37 dollars.
Now,
864.5 x 2.37 = $2048.865.
Rounding to the nearest hundredth.
6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.
Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.
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It takes Anastasia 45 minutes to walk 2 miles to the park At this rate, how
many minutes should it take her to walk 3 miles?
Answer:
54 minutes
Step-by-step explanation:
45 minutes per 2.5 miles
45/2.5 = 18 minutes per mile
3 miles * 18 minutes = 54 minutes
Area of dog crate
6 meters and 4 meters
Answer:
24 meters
Step-by-step explanation:
L × W = A6 × 4 = 24 metersI hope this helps!
Answer:
24 meters
Step-by-step explanation:
you do 6 times 4
If angle B measure 135 degrees find measure of Angle Q
A.180
B.45
C.60
D.135
Answer:
D. 135
here are some extra words for fun (and to fill the necessary 20 characters)
What is 2/3 as a decimal
Answer:
[tex]. \frac{}{66} [/tex]
Answer:
0.66666667
Step-by-step explanation:
Ray has football practice on Mondays, Wednesdays, and Fridays. The clocks
below show when practice starts and ends. How many minutes does Ray spend
at football practice each week?
A:180
B:45
C:225
D:135
Answer:
C: 225
Step-by-step explanation:
Practice is 75 minutes each day and Ray practices three days a week so multiply the time by three.
Ray spends 135 minutes in football practice.
What is time conversion?The time required to read in data from one code into another code.
Given:
Ray starts practicing at 3:30
Ray ends his practicing at 5:45
So, difference between these slots will be
=30 min + 60 min + 45 min
=135 minutes
Hence, ray spends 135 minutes in football practice.
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Why is the base of the parallelogram 1/2 the circumference of the circle?
Consistent System of Equations
In other words.:Counterclockwise of negative x positive + the absolute value of 18 - 45 will equal 1/2
If BD and EG are parallel lines and mDCA = 127°, what is mDCF?
Answer:
In the diagram above, AB is parallel to EH, and BD is parallel to FH. Also, AB = BC, and EF = FH. If ∠EGC = 70°, then ∠D =
(A) 65°
Step-by-step explanation:
∠IHJ and ∠FEH are the corresponding angles in the given figure.
What are Angles?an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line
CJ is the transversal to DF and GI.
From the given options Angle IHJ and angle FEH are corresponding angles.
Hence, ∠IHJ and ∠FEH are the corresponding angles in the given figure.
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Solve the equation 5x+9=4.
Answer: x=-1
5x+9=4
-9 -9
_______
5x= -5
/5 /5
x= -1
[tex]\huge{\boxed{\sf{x=-1}}}[/tex]
[tex]\huge{\pink{Given \: Equation:}}[/tex]
Step 1:
[tex]5x + 9 = 4[/tex]
Step 2:
[tex]⇒5x = 4 - 9[/tex]
Step 3:
[tex]⇒5x = - 5[/tex]
Step 4:
[tex]⇒x = \frac{ - 5}{5} [/tex]
Step 5:
[tex]⇒x = - 1✓[/tex]
[tex]\huge{\blue{Verification:}}[/tex]
Step 1:
[tex]5x+9=4.[/tex]
Step 2:
[tex]⇒5 \times - 1 + 9 = 4[/tex]
Step 3:
[tex]⇒ - 5 + 9 = 4[/tex]
Step 4:
[tex]\red{⇒4 = 4}[/tex]
[tex]\huge{†Hence \: Vertified†}[/tex]
12. Carlos charges c dollars per hour for landscaping services. If he increases
his rate by 25%, which expression represents his new rate, in dollars per hour?
A. C +0.25
B. c + 25
C. C +0.25c
D. C + 25c
Which expression is equivalent to Start root80 ?
O ^4start root2end root•√5
0 start root2^4•start root5
0 start root2end root•start root2end root•start root5end root
0 start root2^2end root•start root2^2end root•start root5^2end root
Answer:
I believe your answer is C
Hope this helps!
Answer:
It's B
Step-by-step explanation:
rotate the triangle through 180 degrees about the origin?
Answer:
Step-by-step explanation:
(1,1) ==> (-1,-1)
(4,2)==>(-4,-2)
(4,4)==> (-4,-4)
The triangle is shown below, after rotting 180 degrees about the origin.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
The coordinates of the vertices of triangle = (1, 2), (4, 2) and (4,4).
When the triangle is rotated through 180 degrees about the origin,
The sing of the vertices changes.
The sign will be changed as.
(1, 2) = (-1, -2)
(4, 2) = (-4, -2)
(4, 4) = (-4, -4)
The triangle after rotating 180 degrees show.
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A cookie recipe calls for 2 cups
of sugar.
How much sugar will I need if I
only make 2/3 of a batch?
Answer:
6
Step-by-step explanation:
Answer:I am not sure about the answer but when 2 multipled by 3 X 2 equals to 4/3
Can someone please help me please asap ?? I’ll mark brainlist !!!
Answer:
C
Step-by-step explanation:
Find the range of this function
ZA and ZB are complementary angles. If mZA = (7x + 23)° and
mZB = (5x + 19)°, then find the measure of ZB.
Answer:
ZB= 39°
Step-by-step explanation:
complementary angles are angles that add up to equal 90
equation: 7x + 23 + 5x + 19 = 90
add like terms: 12x + 42 = 90
subtract 42 from both sides: 12x = 48
divide both sides by 12: x = 4
plug in the value of x to the equation for ZB: 5(4) + 19
simplify: ZB= 39°
What is the square of 20
First you need to know that square means multiplicatin by itself to itself so square of 20 means 20×20=400
The square root of 20 is 4.472
The square or 20^2 is 20•20=400
brainliest You are going on a plane ride. You leave at 11:00am, sight see for awhile and return back to the same airport at 4:00pm. The plane traveled at 180 miles per hour. How far did the plane fly?
Answer:900 miles
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
11: 00 am to 4: 00 pm thats a 5 hour flight basically. Then do 180 x 5 = 900 (Hope Im right and u guys understand :DD)
Pls help dont lie
Or else I get wrecked
Answer:
19.20
Step-by-step explanation:
P.S im not a genius
Match the equation on the left with its solution(s) on the right.
the mass of the moon
Answer:
The answer is 10^24kg. 0.07346.
write 38/11 as a decimal. use a bar to indicate which digit or group of digits repeat
Answer:
3.454545... put the bar over the first 45 after the decimal to show that it repeats
Step-by-step explanation:
Have a good day:)
A fraction is a way to describe a part of a whole. The fraction 38/11 can be written as [tex]3.\overline{45}[/tex].
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given the fraction is 38/11, therefore, if we perform division for the given fraction we will get,
[tex]\dfrac{38}{11} = 3.45454545.....[/tex]
The bar is kept on the numbers that are repeating, therefore, the bar should be kept over the digits 0.45.
Hence, the fraction 38/11 can be written as [tex]3.\overline{45}[/tex].
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In the diagram below, m
Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABE
Let the second triangle be represented as ΔCDE
The measure of angle ∠EAB = 62°
The measure of angle ∠ABE = 56°
The sum of the interior angles of a triangle = 180°
So , the measure of angle ∠AEB = 180° - ( 62° + 56° )
The measure of angle ∠AEB = 180° - 118°
The measure of angle ∠AEB = 62°
And , by vertically opposite angles
The measure of angle ∠AEB = measure of angle ∠CED
And , the measure of ∠CDE = 180° - ( 82° + 62° )
The measure of ∠D = 180° - 144°
The measure of ∠D = 36°
Therefore , the measure of ∠m = 36°
Hence , the measure of angle ∠D is 36°
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The number of hours worked by each of the employees last week at two stores are listed below.
Hours Worked in a Week at Two Stores
Store 1 16, 28, 36, 40, 78
Store 2 22, 27, 33, 36, 40
Which statements are true and supported by the data in the table? Check all that apply.
The data for store 1 shows greater variability.
The median number of hours worked for the two stores is the same.
The mean of the data for store 1 is greater than the mean of the data for store 2.
The interquartile range of both data sets is the same.
The range of the data for store 1 is less than the range of the data for store 2.
Answer:
The correct options are;
1) The data for store 1 show greater variability
2) The mean of the data for store 1 is greater than the mean of the data for store 2
Step-by-step explanation:
The given information are;
Hours worked in a week
Store 1
16, 28, 36, 40, 78
Store 2
22, 27, 33, 36, 40
Using an online application, we have;
For store 1
The range is 78 - 16 = 62
Mean = 39.6
Standard deviation ≈ 20.88 (Higher variability)
Median = 36
Lower quartile = 22
Upper quartile = 59
Interquartile range = 59 - 22 = 37
For store 2
The range is 40 - 22 = 18
Mean = 31.6
Standard deviation ≈ 6.41 (Lower variability)
Median = 33
Lower quartile = 24.5
Upper quartile = 38
Interquartile range = 38 - 24.5 = 13.5
Answer:
The correct answers are:
1) The data for store 1 shows greater variability.
3) The mean of the data for store 1 is greater than the mean of the data for store 2.
Step-by-step explanation:
I got these two correct on Edge 2021!
Have a nice day :)
Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?
Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.
Plz answer it’s timed
Answer:
1,5
Step-by-step explanation:
cuz it's part of the green
Help me solve this problem please please
Answer: D. x > -1
Step-by-step explanation:
Anup bought 50 glasses
for Rs 1800
out of which 4 were broken. If
he sold the rest of the
glasses for Rs. 35 each. How much
profit or loss percentage did
he bear?
Step-by-step explanation:
50 glasses for Rs 1800
4 broken
sold each for Rs.35 each
50-4=46
35*46=1610