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

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

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Answer:

A and E  MARK BRAINLIEST!

Step-by-step explanation:

Well lets look into this question carefully ,

You should first subtract 120- 48= 72

Then 72/ 8 = 9 so we can check all that apply equations we used

A and E

First graph

#A

Use quadratic formula

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{484+192}}{-32}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{676}}{-32}]/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm 26}{-32}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-1}{8}\:or\:\dfrac{3}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=-0.125\:or\:1.5[/tex]

#B

Vertex will be maximum

Coordinates are

#C

[tex]\sf f(x) = -16x^2 + 22x + 3[/tex]

Part A

To find x-intercepts, the f(x) will be 0

[tex]\sf \hookrightarrow -16x^2 + 22x + 3=0[/tex]

[tex]\sf \hookrightarrow -16x^2 + 24x -2x+ 3=0[/tex]

[tex]\sf \hookrightarrow -8x(2x-3)-1(2x- 3)=0[/tex]

[tex]\sf \hookrightarrow (-8x-1)(2x+ 3)=0[/tex]

[tex]\sf \hookrightarrow -8x-1=0 , \ 2x+ 3=0[/tex]

[tex]\sf \hookrightarrow x=-0.125 , \ x=1.5[/tex]

find y-intercept:

to find y-intercept, x will be 0

[tex]\sf f(x) = -16(0)^2 + 22(0) + 3[/tex]

[tex]\sf f(x) = 3[/tex]

Part B

To find vertex use the formula: x = -b/2(a)

[tex]\sf \rightarrow x = \dfrac{-22}{2(-16)}[/tex]

[tex]\sf \rightarrow x = 0.6875[/tex]

find y coordinates:

[tex]\sf f(x) = -16(0.6875)^2 + 22(0.6875) + 3[/tex]

[tex]\sf f(x) =10.5625[/tex]

coordinates of vertex: (0.6875, 10.5625)

As its positive and greater than 0, the vertex will be Maximum.

part C

To draw the graph, simplify point the vertex on the graph. Then point both the x-intercepts. Also the y-intercept and draw the curve with free hand.

Graph attached:

Using proportions, it is found that the height of the pineapple is of 280 inches = 23 ft 4 in.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering that a feet has 12 inches, the measures in inches, and applying the similarity of triangles, the proportions are as follows:

[tex]\frac{h}{64} = \frac{105}{24}[/tex]

Applying cross multiplication:

24h = 64 x 105

h = 64 x 105/24

h = 280

The height of the pineapple is of 280 inches = 23 ft 4 in.

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Answer:

d. 72

Step-by-step explanation:

Answer :D

64

Step-by-step explanation:

We have, 125% x x = 80

or [tex]\frac{125}{100}[/tex] x x = 80

Multiplying both sides by 100 and dividing both sides by 125,

we have x = 80 x [tex]\frac{100}{125}[/tex]

x = 64

(or just divide 80 x 100 ÷ 125)

Hope this helps - Answered by Lilo

Answer:

min250 max507 Q1=307  Q2=255  Q3=435

Step-by-step explanation:

The five-number summary of this data set is {250, 255, 307, 435, 507}

Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.

Thus, we get;

[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]

We are given that;

The data set= {425, 255, 267, 507, 307, 435, 253, 250, 433}

Now,

The five-number summary of a data set consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum12.

To find the five-number summary of this data set, follow these steps:

Put the numbers in ascending order: {250, 253, 255, 267, 307, 425, 433, 435, 507}

Find the minimum: The smallest number is 250

Find the maximum: The largest number is 507

Find the median: The middle number is 307

Find Q1: The median of the lower half of the data is 255

Find Q3: The median of the upper half of the data is 435

Therefore, by the mean the answer will be {250, 255, 307, 435, 507}

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#SPJ3

Answer:

wheres the question

Step-by-step explanation:

??????

Answer:

{ - 2 , 8 }

Step-by-step explanation:

[tex]log_{4}[/tex] ( x² - 6x ) = 2

4² = ( x² - 6x )

x² - 6x - 16 = 0

- 6 = - 8 + 2

- 16 = - 8 * 2

( x - 8 )( x + 2 ) = 0 ⇒ [tex]x_{1}[/tex] = - 2 , [tex]x_{2}[/tex] = 8

{ - 2 , 8 }

Answer:

5/2

Step-by-step explanation:

In triangle XYZ, the known side is XZ, which is equal to 5. The corresponding side to this side would be MN, which is equal to 2. Divide XZ/MN in order to get 5/2.

Considering continuous compounding, it is found that the balance of her account after 5 years is of $1,185.3.

It is given by:

[tex]A(t) = Pe^{kt}[/tex]

In which:

In this problem, the parameters are given as follows: P = 1000, r = 0.034, t = 5, hence:

[tex]A(5) = 1000e^{0.034(5)} = 1185.3[/tex]

The balance of her account after 5 years is of $1,185.3.

More can be learned about continuous compounding at https://brainly.com/question/15965736

Answer:

3/1

Step-by-step explanation:

1.5+1.5

calcular los dos primeros términos

3

escribe el número entero como una fracción

3/1

Answer:

[1] 8

[2] 10

[3] 8.5

[4] 8

Step-by-step explanation:

[1] What is the mode of the data set?

5,8,8,8,8,9,9,9,10,10

Answer = 8

Explanation: Mode = Appears Most

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[2] How many people were in the sample?

Answer = 10

Explanation:

Each x = 1 person

Hence, it a total of 10 "x" (10 People)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[3] What is the median of the data set?

5,8,8,8,8,9,9,9,10,10

Answer = 8.5

Explanation:

Median = Middle

5,8,8,8,8,9,9,9,10,10

5,8,8,8,8,9,9,9,10,10

8 + 9 = 17/2 = 8.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[4]  What is the mean for the data set, to the nearest whole number?

Answer = 8

Explanation:

Mean = Add up all data values to get the sum and Count the number of values in your data set. Divide the sum by the count

5 + 8 + 8 +8 + 8 + 9 + 9 + 9 + 10 + 10 = 84/10=8.4

8.4 Round = 8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy

Answer:

1) y = 7 x = 7
2) y = 4.243 x = 4.243
3) y = 7.348 x = 7.348
4) y = 9 x = 9

Step-by-step explanation:

just use a calculator and put in the given information
search Right Triangle Side and Angle Calculator

Answer:

Below in bold.

Step-by-step explanation:

1. This is an isosceles right angled triangle.

x = y.

The ratio of the sides in this triangle are 1:1:√2

So 1/√2 = x / 7√2

√2 x = 7√2

x = 7.

y = 7.

The other 3 are solved in a similar way as they are all isosceles right angled triangles:

2. b = 6 and a = 6√2.

3. 1 / √2 = x / 6√3

√2 x =  6√3

x  = 6√3 / √2

x = 6√3 * √2 / 2

= 3√6

y = 3√6.

4.  x = y = 9.

the answer is D i added then subtracted

The angle of the water slide is 60 degrees.

The equation that models his work is 3 × 20 = 60 degrees.

He wants to measure the angle of a water slide at the lake.

He used a sheet of folded paper that formed 20 degrees to measure the angle of the the water slide at the lake.

He noticed three folded paper angle fits in the angle made by the slide and the ground.

Since each angle is equals to 20 degrees, and the three fits into the angle made by the slide and the ground, the angle of the water slide is as follows:

20 × 3 = 60 degrees

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Answer:

ok sure wait

Step-by-step explanation:

Using the unit circle, it is found that the approximate decimal value of tan(α) is given by -3.274.

For an angle [tex]\alpha[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\alpha}, \sin{\alpha})[/tex].

In this problem, we have point (-0.292, 0.956), hence [tex]\cos{\alpha} = -0.292, \sin{\alpha} = 0.956[/tex].

Applying the definition of the tangent, we have that:

[tex]\tan{\alpha} = \frac{\sin{\alpha}}{\cos{\alpha}} = \frac{0.956}{-0.292} = -3.274[/tex].

Hence the second option is correct.

More can be learned about the unit circle at https://brainly.com/question/16852127

The answer: -3.274.
Hope you got it right! :)

Answer:

k^2+25

Step-by-step explanation:

Factor k^2+25

=k^2+25

Doesn't factor

Based on the prices, the willingness to pay of the students and the costs, the profits will be:

The pricing strategy that yields the highest profit is the Mixed bundling strategy.

First find the willingness to pay for both the students with early classes and those without.

Student with early classes:                     Students without early classes:

= 73 + 53                                                       = 63 + 103

= 126                                                             = 166

At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.

Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.

Profit is:

= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)

= (166 + 73) - (2 x 5 + 20)

= 209

At separate only pricing students without early classes will be able to afford the both things at 166.

Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.

Profit:
= (63 + 63 + 103) - (2 x 5+ 20)

= 199

At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.

Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas

= 202

In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.

Find out more on pricing strategies at https://brainly.com/question/7303679.

Applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

Tangent ratio is part of the Trigonometry ratios, which is expressed as, tan ∅ = opposite side / adjacent side in a right triangle.

The information given would form a right triangle, where:

Applying the tangent ratio, we would have:

tan 30 = 14/x

x = 14/tan 30

x = 24.2 ft.

Therefore, applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

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Answer:

B

Step-by-step explanation:

-6x + 6 = 2x - 9

-6x + 15 = 2x

15 = 8x

x = 15/8

Answer:

B

Answer:

1.5/5

Step-by-step explanation:

For every 1.5 hours your spend studying English, you spend 5 hours studying Math.

Brainliest please?  

Answer:

15 outfits

Step-by-step explanation:

Given

Probability : No. of outfits

P.S. Sorry I couldn't create the probability table.

Answer:

3,1,5

Step-by-step explanation:

Answer:

As it ایس the correct answer is 45

78

7.90

Answer:

Its me Viktor Kozhanov may I have brainliest pleaseI also answered all you questions so give brainliest to those as well

Step-by-step explanation:

Answer:

  $10,596.81

Step-by-step explanation:

The balance on an account earning 5% interest compounded quarterly can be found using the formula ...

  A = P(1 +0.05/4)^(4t)

where P is the principal invested and t is the number of years.

__

Here, we are investing $7500.00. After 2 years, the account balance will be ...

  A = $7500(1 +0.05/4)^(4·2) = $8283.65

After the $1500 withdrawal, the new balance will be ...

  $8583.65 -1500.00 = $6783.65

__

This is the amount earning interest for the next year, after which time the balance will be ...

  A = $6783.65·(1.0125)^(4·1) = $7129.24

When $2000 is added to the account, the principal earning interest for the last 3 years is ...

  $7129.24 +2000.00 = $9129.24

__

The final balance after 3 more years is then ...

  A = $9129.24·(1.0125)^(4·3) = $10,596.81

_____

These calculations are conveniently carried out by a spreadsheet, as in the attached. Since the account changes are all done at the end of the year, we don't have to keep track of the quarterly balances. The formula used to calculate the ending balance each year is shown.

[tex]=================================[/tex]

Option A is correct & here's why.

When dividing fractions, we take the first fraction and multiply it times the reciprocal of the second fraction (the second fraction flopped over)

So if we have 1/4, then its reciprocal is 4/1, or just 4.

Hence, Option A (1/5÷4) is correct.

[tex]==============================[/tex]

~DiamonD~