Which pair of ratios is proportional?

The value of the principal investment would be = $12,500.75

A principal investment is defined as the capital amount of money that is being deposited into an account with the purpose of receiving interest for a particular period of time.

The years of investment (t) = 9 years

The annual interest rate (r) = 3.9% = 3.9/100= 0.039

The total worth of the investment (A) = $17,757.16

Then, solve the equation for P

P = A / ert

P = 17,757.16 / e(0.039*9)

P = $12,500.75

Therefore, the principal amount that is needed which can be compounded continuously to get the total amount given = $12,500.75

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Answer:

78

Step-by-step explanation:

a + 8b = 6 + 8 x 9 = 6 + 72 = 78

Answer: 78

Step-by-step explanation:

value of a=6

value of b=9

a+8b= 6+8*9

as the 8 will be multiplied by 9

6+8*9= 6+72

6+72 = 78

Answer:

1) Yes

2) No

Step-by-step explanation:

In the first test  t distribution is  appropriate to use because  in the dot plot the  16 data points can be seen other the the data points clustered round the mean.

Here degrees of freedom = n-1= 74

S. E= s/√n

S.E= 10.1/ √74= 1.17

For t - distribution it is assumed that the sample is approximately normal which is  visible in the dot plot in the first test.

In the second case z test should be applied.

Z test is used when the population standard deviation is not known .

In the second test  t distribution is   not appropriate to use because  in the dot plot only 2 data points can be seen other the the data points clustered round the mean.

For t - distribution it is assumed that the sample is approximately normal which is not visible in the dot plot.

Answer:

D) ASA

Step-by-step explanation:

Using the Algebraic tile method we get x=2 solution for equation model

The algebra tile method is a method of solving equations by using visual models, such as tiles with different values on them, to represent the unknowns and constants in the equation. It is often used to help students understand the process of solving equations and to see how the operations of addition and subtraction correspond to the process of combining or separating algebraic expressions.

In the question, we have 3 kinds of tile

Equation will be :

⇒ 3x - 1 - 1 = 1 + 1 + 1 + 1

⇒ 3x - 2 = 4

⇒ 3x = 6

⇒ x = 2

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Answer:

40 Balcony/15 floor

Step-by-step explanation:

A and C are out instantly cause the amount of tickets sold doesnt equal 55 and B is out cause 50x5=250 and 5x10=50 which totals to 300 not 350

Answer:

2.25 cups

Step-by-step explanation:

There are 5 eights in 40.

1.25 × 5 = 6.25

1.5 × 5 = 7.5

1 × 5 = 5

1 quart = 4 cups

6.25 cups - 4 cups = 2.25 cups

Answer:

Step-by-step explanation:

Let's solve for x.

2x+3y=9

Step 1: Add -3y to both sides.

2x+3y+−3y=9+−3y

2x=−3y+9

Step 2: Divide both sides by 2.

2x/ 2 = −3y+9/ 2

x= −3/ 2 y+ 9/ 2

Answer:

x= −3/ 2 y+ 9/ 2

Answer:

The equation of the line is: [tex]y = 0.6x + 0.6[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Two points:

We have these following two points in this exercise:

x = -6, y = -3, so (-6,-3)

x = 4, y = 3, so (4,3)

Finding the slope:

Given two points, the slope is given by the change in y divided by the change in x.

Change in y: 3 - (-3) = 3 + 3 = 6

Change in x: 4 - (-6) = 4 + 6 = 10

So

[tex]m = \frac{6}{10} = 0.6[/tex]

Then

[tex]y = 0.6x + b[/tex]

Finding b:

We replace one of the points in the equation to find b. I will use (4,3).

[tex]y = 0.6x + b[/tex]

[tex]3 = 0.6*4 + b[/tex]

[tex]2.4 + b = 3[/tex]

[tex]b = 0.6[/tex]

The equation of the line is: [tex]y = 0.6x + 0.6[/tex]

Answer:

1. 29. Solve for the variable and graph the solution on a number line: –2x < –10 30. Solve for the variable and graph the solution on a number line: 9 + c > –2 31. Solve for the variable and graph the solution

2.  v – 4 ≥ 3 (6 + 2v

3. The last term, "the constant", is -5 Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20 Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -8

4.The first term is, 4p 2 its coefficient is 4 . The middle term is, -8p its coefficient is -8 . The last term, "the constant", is -5 Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20

Step-by-step explanation:

the rest is up to you, and u better say thanks and give me brainliest this took ages to explain

Answer:

189 sq mm

Step-by-step explanation:

area = (21×18)/2 = 189 sq mm

Answer:

1

Step-by-step explanation:

9 - 3  ÷ 1/3 + 1

first do division

3 ÷ 1/3 = 9

9 - 9 + 1 = 1

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = CE/AE=5/8

m(∠CAE) = tan-1 (5/8)

= 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = BE/AE

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

= 12.8 + 5

= 17.8

≈ 18 ft          

Therefore, the total height of the silo is 18 ft.

Answer:

Step-by-step explanation:

8.4

Answer:

$8.4

Step-by-step explanation:

[tex]3.36*2.5[/tex]

Answer:

2/3

Step-by-step explanation:

4/9 divided by 2/3 = 4/9 times 3/2

= 2/3

Answer:

d = √17, meaning that the number that goes beneath the radical symbol is 17.

Step-by-step explanation:

Refresh if you are unable to see below.

[tex]\text{Use the distance formula.}\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\text{Substitute the points.}\\d=\sqrt{(3-(-1))^2+((-1)-(-2))^2}\\\text{Subtract.}\\d=\sqrt{(4)^2+(1)^2}\\\text{Evaluate the powers of 2.}\\d=\sqrt{16+1}\\\text{Add.}\\d=\sqrt{17}[/tex]

Answer:

-85º

Step-by-step explanation:

275 - 360 = -85

There were 8 roses on each bushes

Gemma has 3 rose bushes

Each bush has the same number of roses

She picks 4 of the roses

After picking the roses, there are 20 left in the bushes

Therefore the number of rose on each bush can be calculated as follows

20 + 4

= 24

24/3

= 8

Hence there are 8 roses in each bush

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Answer:

0.2

Step-by-step explanation:

1/10 = 0.1

10/100 = 0.1

0.1+0.1 = 0.2

Answer:

3

Step-by-step explanation:

768 can be broken down to:

2×2×2×2×2×2×2×2×3

The part made up of twos is already a perfect square. The 3 needs a partner for it to be a perfect square also.

768 × 3 is 2304.

Sqrt2304 is 48.

Multiply 768 by 3 to make it a perfect square.

Refer To The Given Image

Answer:

See below

Step-by-step explanation:

Absolute value is the positive distance from 0, so |-7| = 7 because -7 is 7 from 0, whereas 6 is 6 away from 0. Because 7>6, then -7 has a greater absolute value than 6

Answer:

A. 4%

Step-by-step explanation:

remember that there are 52 weeks in a year, so multiply 1000 by each answer, then multiply what you get by 52 to see if it is either below 2000 or just above 2000, and you'll see how i got 4%.

Answer:

3 or 2

Step-by-step explanation: I don't know, but I am gonna say that is the interest rate for the invest for saving up $2000

(Please correct me if I am wrong)

Answer:

a^4b^24

Step-by-step explanation:

We know, (xy)^n = x^ny^n. So,

(ab^6)^4 = a^4b^(6×4)

= a^4b^24

Answer:

Step-by-step explanation:

There are various lines dividing this figure into shapes, such as rectangles and triangles; this makes it easier to find the area.

First, find the area of the triangles.

In this figure, there are two triangles with heights of 12 and bases of 18.

[tex]12 * 18 = 216[/tex]

Then, multiply the product by 1/2.

[tex]216 * 1/2 = 108[/tex]

There are two triangles, so multiply, the product, 108, by 2.

[tex]108*2 = 216[/tex]

The area of both combined triangles is 216 cm; the area of a single triangle is 108 cm.

Secondly, find the area of the rectangles.

There are two rectangles with widths of 25 and lengths of 15.

[tex]25*15 = 375[/tex]

There are two rectangles, so multiply the product, 375, by 2.

[tex]375*2 = 750[/tex]

The area of both rectangles combined is 750 cm; the area of a single rectangle is 375 cm.

Lastly, we find the area of the rectangle in the middle.

This rectangle has a length of 18 and a width of 25.

18[tex]18*25 = 450[/tex]

The area of this rectangle is 450 cm.

Lastly, add the areas of all the shapes.

[tex]108 + 108 + 375 + 375 + 450 = 1,416.[/tex]

Therefore, the area of this figure is 1,416 cm².

Answer:

90

Step-by-step explanation:

A regular quadrilateral is a square.

The sum of the exterior angles of a polygon is always

360 degrees

Therefore a quadrilateral has four exterior angles making the individual exterior angles

360 over 4=90 degrees

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