A European bond has a par value of 1000 Euros, a coupon rate of 4.5 percent and a yield to maturity of 3.2 percent. The bond has 19 years to maturity. Coupons are made annually. What is the value of the bond?

Answer:

Step-by-step explanation:

23+87+98=208

2.08+1=3.08

3.08-----> 308p

Answer:

The absolute value of -9 is less than 9 I'm pretty sure

Answer:

1. m∠CUK = 70°

2. m∠K = 112°

Step-by-step explanation:

1. The given parameters of the parallelogram LUCK are;

∠C = 68°

∠LUK = 42°

From the diagram of parallelogram LUCK obtained from an online source, we have;

Given that LUCK = A parallelogram, we have;

The same side interior angles ∠C and ∠U are supplementary angles

Therefore;

∠C + ∠U = 180°

∠U = 180° - ∠ C

∴ ∠U = 180° - 68° = 112°

∠U = 112°

By angle addition property, ∠U = ∠LUK + ∠CUK

∴ m∠CUK = ∠U - ∠LUK

By plugging in the value of ∠LUK = 42°, and ∠U = 112°, we have;

m∠CUK = ∠U - ∠LUK = 112° - 42° = 70°

m∠CUK = 70°

2. By angle addition property, we have;

∠K = ∠LKU + ∠CKU

∠LKU and ∠CUK are alternate interior angles

∴ ∠LKU = ∠CUK = 70°

Similarly, ∠CKU and ∠LUK are alternate interior angles

∠CKU = ∠LUK = 42°

m∠K = ∠LKU + ∠CKU = 70° + 42° = 112°

m∠K = 112°.

Answer:

D.

tangent = opp over adj

Step-by-step explanation:

Answer:

min f(x) = 3.95  (for x= 2.5)

Step-by-step explanation:

vertex (x) = 1/0,4 = 2,5

vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95

Answer:

5x

Step-by-step explanation:

Answer: $15

Step-by-step explanation:

Jasmine needs 300 centimeters

$5 each meter

The first step you need to do is convert 300 centimeters to meters, because it’s $5 for each meter.

(You can use the King Henry Chart to help you)

So, 1 centimeter is 1/100 meter

How much is 300 centimeters in meters?

300x1/100

= 300/100

=3

300 cm= 3m

Now, there is $5 for each meter.

How much does it cost for 3 meters?

= 5x3

= $15

It will cost her $15

The rate of change is the slope. The slope is the number in front of the x

Function 1 rate of change is -1/2

Function 2 rate of change is -3/4

The greater rate of change would be the steepest slope.

Function 2 has the greater rate of change

See the attached picture.

Answer:

99.7% of the boys are between 54 and 84 inches tall.

Step-by-step explanation:

The heights 54 and 84 inches are 3 standard deviations away from the mean. Thus, 99.7% of the boys are between 54 and 84 inches tall.

The percentage of the boys are between 54 and 84 inches tall is 99.7%

What is percentage?

Percentage a relative value indicating hundredth parts of any quantity.

What is empirical rule?

The empirical rule or  the three-sigma rule , is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations of the mean.

The empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

From question mean(μ) = 69 in. and  standard deviation(σ)= 5 in.

(µ ± σ) = (69 ± 5)

           =64 - 74

           =68%

(µ ± 2σ) =(69 ± 10)

            =59 -79

            =95%

(µ ± 3σ) =(69 ± 15)

             =54 -84

             = 99.7%

Thus the percentage of the boys are between 54 and 84 inches tall is 99.7%

To know more about empirical rule click here

https://brainly.com/question/16643905

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Answer:

17.6

Step-by-step explanation:

If you add all of the digets up you get: 86

86 divided by the quanity of numbers is: 17.6

1/5

Step-by-step explanation:

I have done this sir

Lee laaa

Answer:

1/5

Step-by-step explanation:

5/25 = ?

well so

5 x 5 = 25 so that means that there is 5 parts for each 1 whole

5/25 = 1/5

Answer:

what r u even saying

Step-by-step explanation:

===================================================

Explanation:

We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus

x^2 - 9 = 0

x^2 = 9

x = sqrt(9) or x = -sqrt(9)

x = 3 or x = -3

To check these answers, you replace x with those values we found. I'll show you how to check x = 3

x^2 - 9 = 0

(3)^2 - 9 = 0

9 - 9 = 0

0 = 0

So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.

------------------

Another method you could do is to use the difference of squares rule

x^2 - 9 = 0

x^2 - 3^2 = 0

(x - 3)(x + 3) = 0

Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x

x-3 = 0 or x+3 = 0

x = 3 or x = -3

We end up with the same solution set.

Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.

Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.

Answer:

[tex]\boxed {\boxed {\sf 87 \ degrees}}[/tex]

Step-by-step explanation:

The angles in a triangle must add to 180 degrees.

We are given three angles: 2x+6, x, and 3x. Their sum must be 180, so we can create an equation.

[tex]2x+6+x+3x=180[/tex]

Combine like terms (all terms with an x) on the left side.

[tex](2x+x+3x)+6=180[/tex]

[tex]6x+6=180[/tex]

Now solve for x by isolating the variable.

6 is being added and the inverse of addition is subtraction. Subtract 6 from both sides.

[tex]6x+6-6=180-6\\6x=174\\[/tex]

x is being multiplied by 6. The inverse of multiplication is division. Divide both sides by 6.

[tex]6x/6=174/6 \\x=29[/tex]

Substitute 29 for x in the angle measures.

The largest angle is 87 degrees.

Answer: 208 in^2

Step-by-step explanation:

find the surface area of the square base

8(8)=64

find the surface area of the 4 triangular lateral faces

SA=4(bh÷2)

4(8 x 9 ÷2)

4(36)=144

add the surface area of the square base and lateral faces

64+144=208

Answer:

a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

All you have to do is count the number of squares it is from the point to the y axis horizontally. And count from there onwards. When you get further in Maths, you will realise there are much easier ways but this is the most basic.

Answer: 70

Step-by-step explanation:

do 21*3 which would be 90% but the actual number would be 63. but there is still 10% left and you are given and number for 30% so divide 21 by 3 which you get 7 so 63+7=70

Answer:

1,420 grams per 100 baseballs

Step-by-step explanation:

Set up an equation:

Variable x = grams per 100 baseballs

1/14.2 = 100/x

Cross multiply

1 × x = 14.2 × 100

1x = 1420

x = 1420

Answer:

78.4 miles

Step-by-step explanation:

Since there are 14 days in two weeks, you multiply 5.6 miles times 14 days to get 78.4 miles in total since 5.6 is how much he ran every DAY

Answer:

2.575844

Step-by-step explanation:

This is a simple change of temp problem, from 539K to -62C but to start you have to change the C to K, which is simply adding 273 to the -62 so 211K.

Now you take P1/T1 = P2/T2 so,

6.58 = x

539 = 211

now cross multiply and divide, 211 x 6.58 then divide by 539.

this will give you your answer

***BTW DONT CLICK THE LINK ON THE ANSWER BELOW OR ABOVE THAT LEADS TO SOME MALWARE***

Answer:

1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]

2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]

Step-by-step explanation:

Answer:

inside the circle

Step-by-step explanation:

Khan Academy

Answer:

S₁₅ = 645

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Using the nth term formula [tex]a_{n}[/tex] = 5n + 3 , then

a₁ = 5(1) + 3 = 5 + 3 = 8

a₂ = 5(2) + 3 = 10 + 3 = 13 , then

d = a₂ - a₁ = 13 - 8 = 5

Thus

S₁₅ = [tex]\frac{15}{2}[/tex] [ (2 × 8) + (14 × 5) ]

     = 7.5( 16 + 70)

     = 7.5 × 86

     = 645

Answer:

3 grey and 1 red

Step-by-step explanation:

5 x 3 = 15

15 + 7 = 22

x = 36

Step-by-step explanation:

The angles 4x and x are supplementary, meaning they add up to 180; therefore we have

[tex]4x + x = 180[/tex]

[tex]5x = 180[/tex]

dividing both sides by 5 gives

[tex]x = 36[/tex]

the measure of angle x is 36 and that of 4x is 4 * 36 = 144

The angle opposite to 4x also measures 144 and the one opposite to x is 36.

Answer:

x° + 4x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

Answer:

Yes

Step-by-step explanation:

In [tex]a^2+bx+c[/tex], b is the middle term.