Which represents the explicit formula for the arithmetic sequence an = 7 - 3(n - 1) in function form?

1. The value of the bond with a market interest rate of 8% is $1,159.71.

2. The value of the bond with a market interest rate of 15% is $899.44.

3. The new value of the bond after 2 years with market interest rate of 8% is  $1,103.08.

4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.

Data and Calculations:

N (# of periods) = 5 years

I/Y (Interest per year) = (A) 8% or  (B) 15%

PMT (Periodic Payment) = $120

FV (Future Value) = $1,000

Results

PV = $1,159.71   and $899.44 for (B)

Schedule at 8% interest rate

Period       PV              PMT             Interest       FV

1            $1,159.71       $120.00       $92.78       $1,132.49

2           $1,132.49       $120.00       $90.60     $1,103.08

3           $1,103.08       $120.00       $88.25      $1,071.33

4           $1,071.33       $120.00        $85.71      $1,037.04

5         $1,037.04       $120.00        $82.96     $1,000.00

Schedule at 15% interest rate

Period       PV              PMT             Interest       FV

1           $899.44    $120.00           $134.92      $914.35

2           $914.35      $120.00           $137.15      $931.50

3          $931.50      $120.00           $139.73      $951.23

4          $951.23      $120.00           $142.68      $973.91

5          $973.91      $120.00           $146.09   $1,000.00

Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123

Answer:

[tex]y=-1 \frac{2}{3}x+5[/tex]  

Step-by-step explanation:

y=mx+b is slope-intercept form

m= slope

b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).

The photo you have attached is very blurry but i will do my best to read the numbers on the graph.

the y-intercept looks to be at 5

so we plug that in

y=mx+5

now let's get the slope.

pick two points you can easily see,

slope is change in y over the change in x --- which is simplified below

rise over run

y2-y1 divided by x2-x1

we can see the point (0,5) and the point (3,0)

(3,0) is going to be the x2 and y2 and the other point is the x and y 1s

0-5= -5

3-0= 3

-5/3

let's simplify that

we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.

-1 2/3

that is our slope

let's plug it in:

[tex]y=-1 \frac{2}{3}x+5[/tex]

that is our answer!

Answer:

48 feet foot I took the testttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt oh yeah yeah yeah

Step-by-step explanation:

Step-by-step explanation:

so, what is the problem with the first one ?

you only need to put the specified values into the places of the variables and then simply calculate :

2×-5 + 8×6 = -10 + 48 = 38

that is how expressions, equations and functions work.

for the second, I am counting only the squares with their clear "majority" inside the line. any small parts of squares I ignore.

so,

first row : 3

second row : 5

third row : 5

fourth row : 6

fifth row : 7

sixth row : 7

seventh row : 4

eighth row : 2

total : 39

Step-by-step explanation:

similar means that (with all angles being the same) the side lengths of one triangle all correlate to the corresponding side lengths of the second triangle by the same factor.

and so, because AD = 2 is 1/3 of AB = 4+2 = 6, we need to apply the same factor 1/3 to x compared to 12.

12 × 1/3 = 4.

so, A is correct.

Answer:

24 screeches = 20 meows.

Step-by-step explanation:

Calculate purrs:

12/3 = 4

4*2= 8

Use purrs to calculate screeches:

Rectangular Poster:

Length = 9

Width = 3

Rectangular Banner:

Length = 10

Width = 2

Hope this is helpful!

The amount at the end of the second year is $9,734.49.

The amount at the end of the fourth year is $10,811.22.

The amount at the end of the seventh year is $12,653.68.

The amount at the end of the tenth year is $14,810.14.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $8765

r = 5.28%

n = 4 (quarterly)

Amount after 2 years.

A = 8765 [tex](1 + 0.0131)^2[/tex]

A = $9,734.49

Amount after 4 years.

A = 8765 [tex](1 + 0.0131)^4[/tex]

A = $10,811.22

Amount after 7 years.

A = 8765 [tex](1 + 0.0131)^7[/tex]

A = $12,653.68

Amount after 10 years.

A = 8765 [tex](1 + 0.0131)^{10}[/tex]

A = $14,810.14

Thus,

The amount at the end of the second, fourth, seventh, and tenth year is given above.

Learn more about compound interest here:

https://brainly.com/question/13155407

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Answer:

a^2 + b^2 + c^2 +2ab + 2ac + 2bc

Answer:

2[tex]\sqrt[3]{2}[/tex]    

Step-by-step explanation:

[tex]\sqrt[3]{54} - \sqrt[3]{2}[/tex]

[tex]\sqrt[3]{2 * 3 * 3 * 3}[/tex] - [tex]\sqrt[3]{2}[/tex]         Prime factorization.

[tex]3\sqrt[3]{2}[/tex] - [tex]\sqrt[3]{2}[/tex]                      Simplify the radical.

2[tex]\sqrt[3]{2}[/tex]                              Subtract.

Answer:

13

Step-by-step explanation:

5 x 2 2/3

= 5 x 8/3 = 40/3 =13 1/3

So it's basically 13  1/3, but its 13.

Answer:

7.52

Step-by-step explanation:

5.37 + x = 12.89

In order to solve this equation, we must isolate the variable, x.

1.) To do this, subtract 5.37 on both sides of the equation.

5.37 + x = 12.89

-5.37         -5.37

x = 7.52

Therefore, x = 7.52

Answer:

Answers of given questions are written below :

Step-by-step explanation:

[tex]\large{\tt{\underline{\underline{\purple{SOLUTION : - }}}}}[/tex]

5.37 + x = 12.89

[tex] \implies{\tt{5.37 + x = 12.89}}[/tex]

[tex] \implies{\tt{ x = 12.89 - 5.37}}[/tex]

[tex] \implies{\tt{ x = 7.52}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{ x = 7.52}}}}}[/tex]

Hence, the value of x is 7.52

[tex]\begin{gathered}\end{gathered}[/tex]

42 = 6x - 24

[tex] \longmapsto{\sf{42 = 6x - 24}}[/tex]

[tex] \longmapsto{\sf{ 6x = 42 + 24}}[/tex]

[tex] \longmapsto{\sf{ 6x = 66}}[/tex]

[tex] \longmapsto{\sf{x = \dfrac{66}{3}}}[/tex]

[tex] \longmapsto{\sf{x = 11}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{ x = 11}}}}}[/tex]

Hence, the value of x is 11.

[tex]\begin{gathered}\end{gathered}[/tex]

10x + 25 = 50

[tex]{\longrightarrow{\rm{10x + 25 = 50}}}[/tex]

[tex]{\longrightarrow{\rm{10x= 50 - 25}}}[/tex]

[tex]{\longrightarrow{\rm{10x= 25}}}[/tex]

[tex]{\longrightarrow{\rm{x= \dfrac{25}{10}}}}[/tex]

[tex]{\longrightarrow{\rm{x=2.5}}}[/tex]

Hence, the value of x is 2.5.

[tex]\rule{300}{2.5}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

Usando proporciones, se encuentra que 400 africanos han participado.

En total, hay x participantes.

[tex]\frac{5}{6}[/tex] de los corredores son europeos, o sea:

[tex]E = \frac{5x}{6}[/tex]

Los americanos son la dècime parte de los europeos, o sea:

[tex]Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}[/tex]

Los africanos son la quinta parte de los americanos, o sea:

[tex]Afr = \frac{1}{5}Am = \frac{x}{60}[/tex]

En la carrera han inscritos 24 000 participantes, o sea, [tex]x = 24000[/tex]. Por eso, la cantidad de africanos es:

[tex]Afr = \frac{x}{60} = \frac{24000}{60} = 400[/tex]

Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636

Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

y = 1/4x

Step-by-step explanation:

Answer:

5/3 ft

Step-by-step explanation:

you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.

hope the made sense.

Answer:

scroll

Step-by-step explanation:

√36 = 6

a^2 + b^2 = c^2

6^2 + 6^2 = c^2  

36 + 36 = c^2

72 = c^2  

√72 = c    

6√2 = c  

6√2 = V

(Estimate rounded = 8.49)

Answer:

y=2x-9

Step-by-step explanation:

9

Step-by-step explanation:

let 2nd proportion be x

6:x=24:36

6÷x=24÷36

x=6×36÷24

x=9

Answer:

how many

Step-by-step explanation:

Answer:

x=458

Step-by-step explanation:

1729-810=919

919-790=129

810-129=681

681-112=569

112-1=111

569-111= 458 (which is the answer)

Answer:

I get 458, but please check the calculations.

Step-by-step explanation:

See attachment.  I worked down the pyramid until I has enough information to calculate x.  For example, 919 had to be the difference of (1729 - 810) for a sum of 1729.  129 had to be the difference of (919-790).  681 is the difference of (810 - 129).  And so on . . .

Answer:

38

Step-by-step explanation:

1/2(10p-7q)

1/2(10(9)-7(2))

1/2(90-14)

1/2(76)

76/2

38

Answer:

135%

Step-by-step explanation: