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Katyanochek1 [597]
2 years ago
7

What the length of segment LM

Mathematics
1 answer:
Nikolay [14]2 years ago
8 0

Answer: LM = 23

Step-by-step explanation:

Solve the algebraic equations:

Line KN: (solve for x)

14x-3=25

move the 3 to the other side with addition

14x=28

divide by 14 to get x by itself

x=2

Now that we have x we can find line KL:

9(2)+5\\18+5\\23

So we now know that KL is 23 units. And we know that KL = LM

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Springfield nuclear energy inc bonds are currently trading at 283.30. The bonds have a face value of $1,000, a coupon rate of 2%
vampirchik [111]

<u>Answer:</u>

The yield to maturity of the bonds is 11%

<u>Explanation:</u>

Price at which the bonds is currently trading = 283.30$

Face Value = $1000

Coupon rate = 2%

Hence the coupon bond rate = $1000 ×2%

= 1000\times \frac{2}{100}

=$20

Years to maturity: 20 years

Formula used:  

=\frac{(C+ (\frac{(F-P)}{n}))}{(\frac{(F+P)}{2})}

Where C is the bond coupon rate

F is the face value

P is the price

N is the number of years

=\frac{(20 +(\frac{(1000-283.30)}{20})}{(\frac{(1000+283.30)}{2})}

=11%

The yield to maturity of the bonds is 11%

3 0
3 years ago
Rewrite each statement using the appropriate mathematical language 1. There exists a number b belonging to the set B 2. Even num
Shtirlitz [24]

Answer:

1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻

Step-by-step explanation:

1. Let b be the number and B be the set, so mathematically, it is written as

b ∈ B.

2. Let  a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write

∀ a ∈ N; 2a ∈ Z

3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.

Since each set is a subset of the latter set, we write

N ⊂ Z ⊂ Q ⊂ R .

4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write

J ≤ J⁻¹ : J ∈ Z⁻

4 0
3 years ago
Find three consecutive odd integers whose sum is 273.
Lerok [7]
89, 91, 93.

i’m pretty sure^
6 0
2 years ago
Please Help me with this question will mark as Brainllest
Aleks [24]

Answer:

it is 72

Step-by-step explanation:

8 0
3 years ago
Using the Addition Method, solve for x in the following system of linear equations.
Anna71 [15]

Answer:

x = 0

Step-by-step explanation:

if 2y + x = 4

we can assume that y = 2
if y - 3x = 2

it means 2 - 0 = 2

therefore x = 0

4 0
2 years ago
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