What the constant of proportionality for this relationship?

Answer:

0.07 or 7%

Step-by-step explanation:

I = Prt

630 = (1000)(9)r

630 = 9000r

r = 0.07

Step-by-step explanation:

Simple interest (SI) = $ 630

Time (T) = 9 years

Principal (P) = $ 1000

Rate (R) = ?

We know

[tex]si = \frac{ptr}{100} \\630 = \frac{1000 \times 9 \times r}{100} \\ 630 = 90r \\ r \: = \frac{630}{90} \\ = 7\%[/tex]

Therefore the rate of interest is 7%.

Hope it will help :)❤

The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number of games be represented as x

Let the cost for the total number of games be y

And , the values of x = { 2 , 5 , 7 }

Now , the values of y = { 9.00 , 22.50 , 31.50 }

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

On simplifying , we get

9 = k ( 2 )

Divide by 2 on both sides , we get

k = 4.5

And , 22.50 = k ( 5 )

Divide by 2 on both sides , we get

k = 4.5

Therefore , the proportionality constant is k = 4.5

Hence , the proportion is y = 4.5x

To learn more about proportion click :

https://brainly.com/question/7096655

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The complete question is :

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)

2 9.00

5 22.50

7 31.50

Do the Number of the games and price form a proportional relationship? choose correct response

1. Yes there is a constant of proportionality of 11.25.

2. Yes there is a constant of proportionality of 4.50.

3. No there is not a constant of proportionality.

4. No the Slope is 4.5

Answer:

(2, 5)

Step-by-step explanation:

Graphing calculator makes it easy :)

We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABC We want to dilate triangle ABC by scale factor of 2 at the center (0,2)The image is shown below as triangle A'B'C' with coordinates (8.6), (8,18), and (18,6). Triangle ABC has a base of 4 units and a height of 6 units

Triangle A'B'C' has a base of 8 units and a height of 12 unitsApplying Pythagoras theorem to triangle ABC to find the hypotenuse

Now, we calculate the hypotenuse of the image

The hypotenuse of the image is twice the hypotenuse of triangle ABC which proof the two shapes are similar shape

Answer:

Okay so what you do is multiply 6*9*4.5 together and that'll give you 243 as the volume of the prism. I'm not sure what it is in decimal. I'm guessing 24.3

I'm so sorry if this is incorrect.

Have a great day! <3

Answer:

121.5 ft^2

Step-by-step explanation:

To find Volume of Triangular prism, find the area of the triangular shape first.

Step 1:     6 x 4.5 = 27(square)

Step 2:   27 x .5 = 13.5(triangle)

13.5 x 9(the width) = 121.5

Because volume is length x width x height.

The height and length is 6 x 4.5 in this problem.

Note :  I did "x.5 " because I needed to divide 27 by two to get a triangle. Since a triangle is half a square.  Dividing by 2 and multiplying by .5 are the same thing.

Example: 20 x .5 =10 or 20/2 =10

Answer:

[tex]x = { \tan(4.6) }^{ - 1} \\ x = (77.73522627211)[/tex]

Answer:

0.50 cents

Step-by-step explanation:

If the ratio is 2:1 then the bigger share would be 2 times bigger than the smaller share.

the answer is

360 hoped that helped

Answer:

240

Step-by-step explanation:

600 x .6 = 360

600 - 360 = 240

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Answer:

8x units

Step-by-step explanation:

A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.

The Area of a Rectangle is calculated with the formula

Length × Width ( Height)

Area = 56x²y square units

Height = 7xy units

Length =Area of the rectangle/Height of the rectangle

= 56x²y square units/7xy units

= 8x units

Answer:

$21,942

Step-by-step explanation:

Ask Siri

Answer:

$21,942

Step-by-step explanation:

6%=0.06

20,700*0.06=1,242

$20,700+$1,242=$21,942

Answer:

k = 2

Step-by-step explanation:

10 = 2(5)

10 = 10

Answer: k=2

Step-by-step explanation:

10=(2)5

10=2x5

10=10

Answer:

$10.11

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

so you wold do I=t×r×A ok so I=6,500 t=5 r=4.3 and u have to find A so you wolf multiple 5×4.3=21.5 and than you wold divide 6500÷21.5=302.3255813953488×21.5= 6500 so A=302.3255813953488

Answer:

4

Step-by-step explanation

Im sure its four. If not let me know

Answer:

it is option c that is 1.2n+7.5

Answer:

c

Step-by-step explanation:

i hope this helps

Answer:

n=96

Step-by-step explanation:

Answer:

n = 96

Step-by-step explanation:

[tex]\frac{n}{4}-14=10\\\frac{n}{4} = 24\\n = 96[/tex]

Answer:

1)Mononaimal polynomial

2)Mononomial polynomial

3)Bionomial polynomial

Answer:

ninth year

Step-by-step explanation:

Given the general form of an exponential equation;

P = a(1 +r)^t

We can now write in this particular case;

y = 4 * 10^6(1 + 0.07)^t

The year in which y reaches 7 * 10^6 dollars is

7 * 10^6 =  4 * 10^6 (1 + 0.07)^t

7 * 10^6/4 * 10^6 = (1 + 0.07)^t

1.75 = (1 + 0.07)^t

ln(1.75)= ln(1 + 0.07)^t

ln(1.75) = t ln(1 + 0.07)

0.5596 = 0.06766t

t = 0.5596/0.06766

t = 8 years

So, in the ninth year;

y =  4 * 10^6 (1 + 0.07)^t

y = 4 * 10^6 (1 + 0.07)^9

y = 7.35 * 10^6

Hence, the player's earnings first exceed $7,000,000 in the ninth year.

Answer:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.

Step-by-step explanation:

Answer:

So the inequality for this is 12.5x + 35 ≥ 105

and the amount of visits they need to get to their goal is 6 visits

Step-by-step explanation:

you subtract the points they already have (35) from both sides and you'll get..

12.5x ≥ 70

then you divide 12.5 from both sides and you'll get 5.6, or 6 visits

Answer:

ummm if yu foil yu get

(4x+2)(x+1)

Step-by-step explanation:

ion kno if das rii

Answer:

it's 3/50

Step-by-step explanation:

Answer:

3/50

Step-by-step explanation:

the fraction 6/100 can simplify to 3/50

Answer: A

Step-by-step explanation:

Okay so f-g = (2x+3)-(3x+2) = 2x+3-3x-2 = -x+1

A

Answer:

Part A:

Variable x = change in profit per month

8x = 7200

Part B:

$900 loss per month

Step-by-step explanation:

Part A:

Within 8 months, the company loses $7200. To show a change in profit per month we have to multiply change by 8 months to equal $7200. Since we do not know what the change per month is, we can represent it as a variable. In this case, I will use x.

Variable x = change in profit per month

8x = 7200

Part B:

Solve for the expression we created in part A

8x = 7200

Isolate the variable x by dividing both sides by 8

8x ÷ 8 = 7200 ÷ 8

x = 900

$900 loss per month