Last year, 1,920 athletes finished the Cedarburg Marathon. This year, the number of runners
crossing the finish line was 15% lower. How many athletes finished the race this year?

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

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:

[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:

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:

135%

Step-by-step explanation:

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

Answer:

c

Step-by-step explanation:

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:

y=2x-9

Step-by-step explanation:

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.

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#SPJ2

Answer:

2

Step-by-step explanation:

if the angle of the two triangles are the same,

6 is 2/3 of nine

Therefore,

2/3x3=2

Answer:

how many

Step-by-step explanation:

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:

undefined

Step-by-step explanation:

I'm assuming the points are (-5,-5) and (-5,5)

The formula to do slope is: (y2-y1)/x2-x1)

2 points: (x1, y1) (x2, y2)

So then:

(5-(-5))/(-5-(-5))=10/0

This shows that the line is vertical, which means that slope is undefined.

Answer:5/65/6

The slope of the line passing through the point (5,5) is 5/6.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

y = 1/4x

Step-by-step explanation:

Answer:

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

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:

24 screeches = 20 meows.

Step-by-step explanation:

Calculate purrs:

12/3 = 4

4*2= 8

Use purrs to calculate screeches:

Answer:

in my opinion they do not.

Step-by-step explanation:

Answer: Total compensation is everything the company provides an employee in exchange for working. It includes base salary, bonuses, benefits, perks and on-site amenities.Total compensation indicates that an employee is making two or three times his base salary.

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:

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:

1.1

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

The number of pennies is an illustration of pattern and sequence.

The number of pennies in the nth square is [tex]2^{n-1[/tex]

From the complete question, we have the following parameters

[tex]f(1) =1[/tex]

[tex]f(2) =2[/tex]

[tex]f(3) =4[/tex]

[tex]f(4) =8[/tex]

Rewrite the functions as follows:

[tex]f(1) = 2^0[/tex]

[tex]f(2) = 2^1[/tex]

[tex]f(3) = 2^2[/tex]

[tex]f(4) = 2^3[/tex]

Express 3 as 4 - 1

[tex]f(4) = 2^{4-1[/tex]

Replace 4 with n

[tex]f(n) = 2^{n-1[/tex]

Hence, the number of pennies in the nth square is [tex]2^{n-1[/tex]

Read more about pattern and sequence at:

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