Answer:
300 rxc icz ugv ddhhbs hhjo
A 15-year bond with a 5.5% coupon and a $1,000 par value is currently priced at $940.
a. If the current market interest rate is 6.5%. Should you buy the bond? Why or why not?
b. Assuming you buy and hold this bond for 5 years. What price must you sell the bond for if you
want to earn a 7% rate of return on this investment?
A) If the current market interest rate is 6.5%, you should not buy the bond because the present value of the bond is $905.97, which is less than the current price of $940.
B) Assuming you buy and hold this bond for 5 years, the price you must sell the bond to earn a 7% rate of return on this investment is $938.50.
How is the price of bonds determined?The price of a bond can be determined by calculating the present value of the cash flows till maturity through discounting.
The present value can be computed using the present value formula or table. It can also be determined using an online finance calculator as follows:
Data and Calculations:a. If the current market interest rate is 6.5%. Should you buy the bond? Why or why not?
N (# of periods) = 15 years
I/Y (Interest per year) = 6.5%
Coupon interest rate = 5.5%
PMT (Periodic Payment) = $55
FV (Future Value) = $1,000
Results:
PV = $905.97
Sum of all periodic payments = $825 ($55 x 15)
Total Interest = $919.03
b. Assuming you buy and hold this bond for 5 years. What price must you sell the bond for if you want to earn a 7% rate of return on this investment?
N (# of periods) = 5 years
I/Y (Desired Interest per year) = 7%
Coupon interest rate = 5.5%
PMT (Periodic Payment) = $55
FV (Future Value) = $1,000
Results:
PV = $938.50
Sum of all periodic payments = $275 ($55 x 5)
Total Interest = $336.50
Learn more about calculating the present values at https://brainly.com/question/20813161
Two types of tickets are available for a charity ball event: $18 for a reserved seat and $9 for general admission. The number of reserved seats available is 85 less than the number of tickets available for general admission. If the sale of tickets for the day was $3,600, how many seats were allotted for general admission?
Answer:
# of reserved seats = R; # of general admission seats = G
G - R = 85
$18R + $9G =$3600
Multiply 1st equation by 18: 18G - 18R = 1530
Rearrange 2nd equation: $9G + $18R =$3600
Combine the equations: 27 G = 5130
G = 190
R = 105
Step-by-step explanation:
Solve for X to the nearest tenth.
Answer:
x = 2•sqroot(5)
x ~= 4.47
Step-by-step explanation:
Draw a line to make the "top" part be a
4 × 3 rectangle. see image.
Then you will have a right triangle on the bottom. It has legs 2 and 4 units long. Use the Pythagorean theorem to solve for x. see image.
Answer:
4.5
Step-by-step explanation:
Mary and Vincent climbed up a rock wall at the park, Mary climbed 3/4 the way up the wall, Vincent climbed 3/8 of the way up the wall, who climbed higher, how will i use this information?
Answer:
Mary climbed higher
Step-by-step explanation:
think of it like this a wall is four feet and you climb 3 feet up. You are closer to the top than if you climbed 3 feet up a 8 wall.
At the beginning of the road, a tank truck was traveling full of water in water tank, but it began to leak.You can assume that the fuel consumption of the truck is directly proportional to the weight it carries, and that the water flow(in the leakage) and the speed of the truck are constant for the whole journey. After traveling for miles, the truck leaked half of the water from the water tank and consumed half of fuel tank.
If the water tank was empty the truck would have spent a sixth of the fuel tank, if it travelled the same distance and under the same conditions as above.
Disregarding the fuel tank weight, what fraction of the fuel tank would be spent if there was no leak?
[tex]\frac{1}{2}[/tex] of the water takes [tex]\frac{1}{2}[/tex] of the fuel and empty tank takes [tex]\frac{1}{6}[/tex] of the fuel, the
fraction that would will be spent if there was no leak is [tex]\underline{\dfrac{11}{18}}[/tex] of the fuel
How can the fraction of the fuel spent be found?
The given parameters are;
The volume of oil consumed = [tex]\mathbf{\dfrac{1}{2}}[/tex] of the fuel tank
Volume consumed if the water tank was empty = [tex]\dfrac{1}{6}[/tex] of the fuel tank
Let w represent the weight of the water that fills the tank.
Therefore;
[tex]The \ average \ weight \ carried \ by \ oil = \dfrac{w + \dfrac{w}{2} }{2} = \mathbf{\dfrac{3 \cdot w}{4}}[/tex]
The amount of fuel consumed by the water that leaked = [tex]\dfrac{1}{2} - \dfrac{1}{6} = \dfrac{1}{3}[/tex]
Let x represent the amount of oil used to carry only the water if there
was no leak, therefore;
[tex]\mathbf{\dfrac{\frac{3 \cdot w}{4} }{w} }= \dfrac{\frac{1}{3} }{x}[/tex]
Which gives;
[tex]\mathbf{\dfrac{3 \cdot w}{4} \times x}} = \dfrac{1}{3} \times w }[/tex]
[tex]x = \dfrac{4}{3 \times 3} = \dfrac{4}{9}[/tex]
The total amount of fuel that will be consumed without leakage is
therefore;
[tex]Total \ amount \ of \ fuel = \dfrac{4}{9} + \dfrac{1}{6} = \mathbf{ \dfrac{11}{18}}[/tex]
The amount of oil consumed if there was no leakage is therefore;
[tex]\underline{\dfrac{11}{18} \ of \ the \ fuel \ tank}[/tex]Learn more about averages here;
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A tiger can run 1.3 miles in 2 minutes. A lion can run 2.5 miles in 3 minutes. Which runs faster, and by how much?
Which line is perpendicular to a line that has a slope of 1/2?
line HJ
line AB
line CD
line FG
Answer:
HJ
Step-by-step explanation:
For a line to be perpendicular to another line, you must find the negative reciprocal.
The negative reciprocal of 1/2 is -2.
The only line with a slope of -2 is line HJ because it goes down 2 for every 1 to the right.
Answer:
line HJ on edge
Step-by-step explanation:
you record the number of sunny days out of a sample of 90 randomly selected days in city a and city b. in city a's sample there were 54 sunny days. in city b sample there were 63 sunny days.
Is City B significantly sunnier than City A? use a significance level of 0.05
The significance level shows that z approximately equals 1.41 for a p-value of 0.078642.
How to calculate the p-value?Based on the complete question, the sample proportion for city A will be:
= 54/90 = 0.60
The sample proportion for city B will be:
= 63/90 = 0.70
Using the table given, it can be deduced that the test statistic value will be 1.41. Therefore, the p-value will be 0.078652 in the Excel function.
Since the p-value is greater than 0.05, then we fail to reject the null hypothesis that there is no difference in the commute time.
Learn more about significance level on:
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A research finds that 50% of all commuters in a metropolitan area take the train to work. The researcher polls 250 people in the area and asks them whether they take the train to work. What is the number of trials for this but binormal experiment?
Answer:
Good morning! Number of trials are 250.
Step-by-step explanation:
A researcher finds 50% of all commuters in a metropolitan area take the train to work.
The researcher polls 250 people in the area to ask them whether they take the train to work or not.
We have tell the number of trials for this binomial experiment.
Researcher will do 250 trials to confirm whether they take the train work and this irrespective of their response.
_AnnieTheDreamGirl, 3/8/2022
Building A and Building B are 500 meters apart. There is no road between them, so to drive from building A to Building B, it is necessary to first drive to building C and then to Building B. А 500 m b 60° B C a Find the distance from Building A to Building C. Round to the nearest whole number O 577 m O 447 m O 433 m O 250 m
The distance from building A to building C is 433m
Right angle triangle:A right angle triangle has one of its angle as 90 degrees. The sides can be found using trigonometric ratios.Therefore,
sin 60° = opposite / hypotenuse
sin 60° = b / 500
cross multiply
b = 500 sin 60°
b = 500 × 0.86602540378
b = 433.0127
b = 433 meters
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How long would it take to lose 30 pounds if you’re starting weight is 150
Answer:a minimum of 15 weeks to about 30 weeks.
Step-by-step explanation:
A homeowner needs to construct a ramp to their front door. How long should the ramp be if the door is 4ft above the ground and the angle of elevation is 20°?
Step-by-step explanation:
we want to find the hypotenuse
soh cah toa
he have hypotenuse and opposite
soh
sin 20 = H/4
can u do the rest and put answer in comments please mark brainest
zack and grace share a sum of money in the ratio 9:11 what percentage of the money does zack receive
Answer:
Percentage of Money Zack receives =
[tex]\bold{\frac{the \:share \:he\: gets \:in\: ratio \:form}{Total \:share \:in\: ratio \:form} \times 100}\\[/tex]
[tex] \bold{\frac{9}{11 + 9} \times 100} \\ \\\bold{ ⇢ \frac{9}{\cancel{20}} \times\cancel{ 100} }\\ \\ \bold\blue{ ⇢ 45\%}[/tex]
hope helpful~
You toss a fair coin 5 times. What is the probability of at least one head? Round to the nearest ten-thousandth.
Answer:
(B) 0.9688
Step-by-step explanation:
mark me brainliest!!
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How can you find the solution to a system of equations by graphing?
(Look at the image for the answers it’s multi choice)
Answer:
c. The solution to a system of equations is the point or points where they intersect
Numbers that are greater than -2 and less than 3. Pls help
Answer:
The numbers that are greater than - 2 qnd less than 3 are:
-1,0,1&2
What is the solution to the equation below? In x= -4
A. X=0.31
B. X=0.02
C. X=-54.60
D. X=-1.39
Answer:
B. X=0.02
Step-by-step explanation:
The solution to the natural log equation is found by taking antilogs.
ln(x) = -4 . . . . . . . given equation
x = e^-4 . . . . . . . take antilogs
x ≈ 0.0183156
x ≈ 0.02 . . . . rounded to 2 decimal places
_____
Additional comment
Essentially, we use each side of the equation as a power of e.
e^ln(x) = e^(-4)
x = e^-4 . . . . . . . simplified
Choices C and D can be eliminated by the fact that ln(x) for x < 0 is undefined. x cannot be negative.
Mom paid me 15.00 i now have 47’.00 how much did I start with
Answer:
You started with 32.00
Step-by-step explanation:
47 minus 15 is 32
Find the length of the line segment whose endpoints are (-8,7) and
(6,4).
[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Endpoints \:of \: line \: segment \:are \:(-8,7) [/tex]
[tex]\sf and \:(6,4) [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{Length of the line} [/tex][tex]\sf [/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
>>Let us consider these points on a line segment AB such that point A and B lies on opposite ends
[tex] \\A( - 8,7) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: B(6,4)\\ \bull \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{} \bull \\[/tex]
We will find distance between points by distance formula-
[tex]\red{\underline{\boxed{\sf{Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}}[/tex]
Here-
[tex]\sf x_2 = 6[/tex][tex]\sf x_1 = -8[/tex][tex]\sf y_2 = 4[/tex][tex]\sf y_1 = 7[/tex]Putting Values:-
[tex]\begin{gathered}\\\longrightarrow\quad \sf AB = \sqrt{(6 - (-8)) ^{2} + (4-7) ^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{(6+8)^2 + (-3)^2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{14^2+ (-3)^2 } \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{196+ 9 } \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{205} \\\end{gathered} [/tex]
[tex]\longrightarrow \sf length \:of \: the \: line \:segment \:whose \: \: [/tex]
[tex]\sf endpoints \;are \: (-8,7) \:and \:(6,4) \:is \: \sqrt{205} \;units [/tex]
x=50 x=52 x=46 x=48 fast pls only 20 min
Answer:
X=48
Step-by-step explanation:
100 = 2x+4
100-4 = 2x
96 = 2x
96/2 = x
x = 48
For what values of a are the following expressions true?
|a-5|=5-a
Answer:
this expression is true for all values of a.
Step-by-step explanation:
So if the expression is:
a - 5 = 5 - a
For this reason:
2a = 10
a = 5
a - 5 = -5 + a
0 = 0
A chess club with 32 members is electing a new president. Raina received 8 votes. What percentage of the club members voted for Raina?
Answer: 25%
Step-by-step explanation:
As you can see 8/32 simplified would be 1/4 which would be 1/4 and 1/4 is equal to 25%!
What is the product of 4 x 2/3
Answer:
Step-by-step explanation:
Remark
A good thing to understand is that when a whole number and a fraction are multiplied, the method is the same as multiplying 2 fractions. What that means is make the whole number into the numerator of a fraction and put a 1 where the denominator should be.
Solution
4/1 * 2/3 = 4*2 / 1 * 3 = 8/3
A tank containing 500 litres of water has a leak.if one-third of the water in the tank leaked out on monday and one-seventh of the remaining water in the tank leaked out on tuesday, how much water is left in the tank?
Answer: 285.7L
Step-by-step explanation:
Tank initially had 500L of water.
On Monday a third leaked out, therefore:
Amount of water that leaked = 500L x 1/3 = 166.6667 = 166.7L
Remaining water after Monday leak = 500-166.7 = 333.3333 = 333.3L
On Tuesday a seventh of the remaining water (333.3L) leaked out, therefore:
Amount of water that leaked: (333.3333) x 1/7 = 47.6190 =47.6L
Water left after both leaks =500L - (166.6667 + 47.6190)L = 500L - 214.2857L = 285.7143L = 285.7L.
OR Water left = 333.3333L - 47.6190L = 285.7143L = 285.7L
6. Which lines are parallel? Why?
Answer:
c║d by Converse of Corresponding Angles postulate
Step-by-step explanation:
Line 'a' is not shown as having any relationship to anything. It can be removed from the picture, and all answer choices involving line 'a' can be ignored.
Line 'b' crosses two lines (c and d), so can be considered their transversal. The marked angles are not all between c and d, nor are they all outside of c and d, so they are neither "interior" nor "exterior." Eliminating the obviously incorrect choices leaves only c║d and the choice of the Corresponding Angles postulate or its Converse.
The Corresponding Angles postulate tells you that corresponding angles are congruent where a transversal crosses parallel lines. Its Converse tells you the lines are parallel if the corresponding angles are congruent. Here, we're given angles and asked about the lines being parallel. Clearly, the applicable postulate is ...
c║d by Converse of Corresponding Angles Postulate
What is the answer please i will mark at brainiest
Step-by-step explanation:
In the given figure,
Base(b)= 6cm
Height (h)= 8 cm
We know that,
[tex]area \: of \: a \: triangle \\ = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 6 \times 8 \\ = \frac{48}{2} \\ = 24 \: cm ^{2} [/tex]
Hence, the are of the given figure is 24 cm².
At a cost of $8 per pound, how many ounces of rice flour can be bought for $3.35?
Answer:
$41 cents
Step-by-step explanation:
$8 divided by $3.35 equals $0.41 cents
Find the equations of the circle which is tangent to both axes and their center lies on the line 2x+3y=10
Answer:
(x - 2)² + (y - 2)² = 4
Step-by-step explanation:
The circle is tangent to both axes, so the radius = x = y
Center is on 2x + 3y = 0, so 2x + 3x = 1-
x = 2 = y
center: (2, 2)
radius = 2
equation: (x - 2)² + (y - 2)² = 2²
(x - 2)² + (y - 2)² = 4
Find the perimeter of the rectangle. Do not round.
Answer:
49 ft.
Step-by-step explanation:
Since the figure is a rectangle, the length of the top of the figure is the same as that of the bottom. Thus, we can form an equation which we can later use to find the value of x.
4x +3= 16
Minus 3 on both sides:
4x= 16 -3
4x= 13
Divide by 4 on both sides:
x= 13 ÷4
x= 3.25
Breadth of rectangle
= 2x +2
= 2(3.25) +2
= 6.5 +2
= 8.5
Perimeter of rectangle
= 2(length +breadth)
= 2(16 +8.5)
= 2(24.5)
= 49 ft.
124 oz ______ = lb
what is the answer in the space
Answer:
7.75 is the the correct answer