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azamat
3 years ago
15

Hello please help thanks

Mathematics
1 answer:
Fofino [41]3 years ago
3 0
Answer is the last one, wind
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A 25-year, $1,000 par value bond has an 8.5% annual coupon. The bond currently sells for $875. If the yield to maturity remains
Whitepunk [10]

Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.

<h3>What is the price of the bond five years from now?</h3>

The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.

Yield to matuity can be determined using a financial calculator:

Cash flow in year 0 = -875

Cash flow each year from year 1 to 25 = 85

Cash flow in year 25 = $1000

Yield to matuity = 9.86%

Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]

Future price factor = [1 - (1/YTM)^n] / YTM

= [1 - 1/0.0986^20] 0.0986 = 8.595555

[85 x 8.595555 ] + 152.478323 = $883.10

To learn more about yield to maturity, please check: brainly.com/question/26484024

4 0
2 years ago
8y + 7y <br> in standard form
dybincka [34]

Answer:

15y

Step-by-step explanation:

8y + 7y

first, we add the numbers which is 8+7 = 15

now we add the ys that = y+y= y ( when you add any alphabet letter the answer will be itself .)

then we add 15 + y but we can not add these but we can write it as 15y

= 15y

have a wonderful day

4 0
3 years ago
1)Circle 1 is centered at (−4, 5)(−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1)(2, 1) and has a radiu
galina1969 [7]

Figures of same shape and size are similar .Two circles  C1&C2 will be similar.

Circle 1 has a center of (-4,5) and circle 2 has a center of (2,1) .The x of the center is having the translation x+6 and the y  is having a translation of y-4.The center of the circle is dilated by 3 units.

The circles are similar because you can translate Circle 1 using the transformation rule (x+6,y-4 ) and then dilate it using a scale factor of 3.

2) Area of sector = \pi.r^{2}\alpha÷360.

Where α is the angle made at center.

Area of given sector= π(12)(12)(60)÷360 =24π.

8 0
3 years ago
Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)
UkoKoshka [18]

Since the limit becomes the undetermined form

\displaystyle \lim_{x\to 1} \dfrac{x^3-2x^2+3x-2}{2x^4-3x+1} \to \dfrac{0}{0}

it means that both polynomials have a root at x=1. So, we can fact both numerator and denominator:

x^3-2x^2+3x-2 = (x-1)(x^2-x+2)

2x^4-3x+1 = (x-1)(2x^3+2x^2+2x-1)

So, the fraction becomes

\dfrac{(x-1)(x^2-x+2)}{(x-1)(2x^3+2x^2+2x-1)} = \dfrac{x^2-x+2}{2x^3+2x^2+2x-1}

Now, as x approaches 1, you have no problems anymore:

\displaystyle \lim_{x\to 1} \dfrac{x^2-x+2}{2x^3+2x^2+2x-1} \to \dfrac{2}{5}

4 0
3 years ago
Lily hikes at least 1 hour but not more than 3 hours. She hikes at an average rate of 2.2 miles per hour. The distance Lily hike
Basile [38]
Average rate = distance / time
distance = average rate x time

Range of distance = 2.2(1) to 2.2(3) = 2.2 to 6.6

Required range is all real numbers from 2.2 to 6.6, inclusive.
7 0
3 years ago
Read 2 more answers
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