600 is invested for 3years at a 9% how much simple interest will be earned​

1. The length of the safety rail = Arc length is: 15.7 yd

2. The area of the deck = area of sector is: 78.5 yd²

Area of sector = ∅/360 × πr²

Arc length = ∅/360 × 2πr

1. Length of the safety rail = Arc length = ∅/360 × 2πr

= 90/360 × 2π(10)

= 15.7 yd

2. Area of the deck = area of sector = ∅/360 × πr²

= 90/360 × π(10²)

= 78.5 yd²

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Eliminating y right away is easiest. Add -3(equation 1) to equation 2, and add 3(equation 3) to equation 2:

-3(2x + y + 3z) + (-3x + 3y - 2z) = -3(3) + (-8)

-6x - 3y - 9z - 3x + 3y - 2z = -9 - 8

-9x - 11z = -17

9x + 11z = 17   [equation 1]

3(5x - y + 5z) + (-3x + 3y - 2z) = 3(13) + (-8)

15x - 3y + 15z - 3x + 3y - 2z = 39 - 8

12x + 13z = 31   [equation 2]

Eliminating x next is easier than eliminating z. Add -4(equation 1) to 3(equation 2):

-4(9x + 11z) + 3(12x + 13z) = -4(17) + 3(31)

-36x - 44z + 36x + 39z = -68 + 93

-5z = 25

z = 25/(-5)

z = -5

Plug this into either of the previous equations and solve for x :

9x + 11z = 17

9x + 11(-5) = 17

9x - 55 = 17

9x = 72

x = 72/9

x = 8

Plug x and z into any of the 3 original equations and solve for y :

2x + y + 3z = 3

2(8) + y + 3(-5) = 3

16 + y - 15 = 3

1 + y = 3

y = 2

Answer:

-(-71)=3(8a-6)

remove parenthesis

-(-71)=24a-18

71=24a-18

-24a=18-71

-24a=-89

a=89/24.

Answer:

If c=2 than x=5 because 2x5=10 and 10-7=3 and 3x3=9

Step-by-step explanation:

Answer:

The card is 6 centimeters long.

Step-by-step explanation:

This is relatively easy. Just divide Area / Width since A = L x W

48 / 8 = 6

Answer:

Many solutions

Step-by-step explanation:

If it is manipulated, you simply get:

2x + 2x + 2 = 4x + 2

0 = 0

So, there are infinitely many solutions, as anything you plug in for x will be canceled as there are 4 x's on both sides.

Answer:

hope this helps!

Step-by-step explanation:

Answer:

a) 60 %

b) 55%

These are the answers.

Answer: 0.6 or 60%

Step-by-step explanation: Uh calculator

The other factor of the polynomial [tex]\rm x^2+8x+15[/tex]  is  ( x + 3 )

It is given that the polynomial [tex]\rm x^2+8x+15[/tex] has one factor that is [tex]\rm (x+5)[/tex].

It is required to find another factor of the above polynomial.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have a polynomial of degree two:

[tex]\rm = x^2+8x+15[/tex]

By using the factorization method we get:

[tex]\rm = x^2+8x+15\\\rm = x^2+3x+5x+15\\\rm = x(x+3)+5(x+3)\\\rm = (x+3)(x+5)\\[/tex]

Thus, the other factor of the polynomial [tex]\rm x^2+8x+15[/tex]  is  ( x + 3 )

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Answer: (x + 3) or A!

Step-by-step explanation:

have a nice eday.

correct on edge 2023

The simplest form of w : x : y : z will be;

⇒ w : x : y : z = 20 : 30 : 9 : 1

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Olivia and Jessica have in total half as many sweets as Fran and Gary have in total.

Now,

Let Fran got w sweets.

Gary got x sweets.

Olivia got y sweets.

Jessica got z sweets.

So, We get;

⇒ (y + z) = 1/2 (x + w)    ..(i)

Here, w = 2a and x = 3a

And, y = 9b and z = b

Substitute in equation (i), we get;

⇒ (y + z) = 1/2 (x + w)    

⇒ (9b + b) = 1/2 (2a + 3a)  

⇒ 10b = 1/2 (5a)

⇒ 20b = 5a  

⇒ 10b = a

So, w = 20b and x = 30b

Or, w : x = 20b : 30b

So, w : x: y: z = 20b : 30b : 9b : b

                     = 20 : 30 : 9 : 1

Thus, The simplest form of w : x : y : z will be;

⇒ w : x : y : z = 20 : 30 : 9 : 1

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#SPJ2

Answer:

20 cakes were sold

Step-by-step explanation:

I assume the question is how many cakes did they sell

set up equation

$5 per cake equals $100

5x = 100

divide both sides by 5

5x ÷ 5 = 100 ÷ 5

1x = 20

x = 20

Answer:

Rs 6720.

Step-by-step explanation:

Given,

Perimeter of room ( P ) = 14m

Height of room ( H ) = 4m

Area of 4 wall = 2 × 14 ×4

= 112m sq.

Now,

Cost = 112 × 60

= Rs 6720.

Answer:

16

Step-by-step explanation:

Pemdas is the order of operations

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

16

Step-by-step explanation:

3 x 6 - 12 / 6.

18 - 2

  16

Answer:

34.72

Hope that helps!

Answer:

Your answer is: 34.72

Use long addition to evaluate.

Step-by-step explanation:

Hope this helped : )

Assignment: Type one to two paragraphs that describe your models and relate them to the law of conservation of mass. Your document should:

Identify the names of the reactants and products in the reaction.

Identify the number of molecules that make up the reactants and products.

Identify the type and number of atoms in each molecule of the reactants and products.

Explain what happens during the chemical reaction.

Explain how mass is conserved during the chemical reaction

The name of the reactant in this reaction is called Calcium Carbonate (CaCO3) and the products in this reaction are Calcium Oxide (CaO) and Carbon Dioxide (CO2). There are 5 atoms total in calcium carbonate: one calcium atom, one carbon atom, and 3 oxygen atoms. In calcium oxide there are 2 atoms total: one calcium atom and one oxygen atom. In carbon dioxide there are 3 atoms total: one carbon and two oxygen atoms. So in the reaction the mass of the products stayed the same because according to the law of conservation, “in a closed or isolated system, matter cannot be created or destroyed. It can change forms but is conserved.” This can be seen in the reaction because no matter was made or destroyed, it was all just rearranged. To further explain, the law of mass conservation in chemistry states that, “in a chemical reaction, the mass of the products equals the mass of the reactants,” which further proves that no matter was created or destroyed, just rearranged. In conclusion, in the reaction the products had the same number of atoms as the reactant because no matter was destroyed or created, simply rearranged to create new products!

Answer:

V = 28 m³

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(4 m²)(21 m)

V = 28 m³

Plug it in.

y = -1, y1 = 1

x = 3, x1 = 1

-1 - 1 = m( 3 - 1)

-2 = 2m

m = -1

The slope is -1

y = -x +b

-1 = -3 +b

b = 2

The equation is y = -x + 2

Hope this helps.

Answer:

y=-1·x+2

Step-by-step explanation:

The equation which can be represents a parabola in the standard form is given in the option C which is,

[tex]-3x +4y^2 - 2y+ 6 = 0[/tex]

The equation of parabola is the way to represent a parabola in a algebraic expression from using its vertex points.

The general form of the of the parabola can be given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) are the vertex.

The equation of the parabola in the quadratic equation form can be given as,

[tex]y=ax^2+bx+c[/tex]

Lets check all the option. Equation given in the first option is,

[tex]4x^2 - 2x+ 3y^2 - y +1 = 0[/tex]

This option can not be converted in the above from of parabola.

Equation given in the second option is,

[tex]x^2+ x - 2y^2 - 4y +2 = 0[/tex]

This option can not be converted in the above from of parabola.

Third option is given as,

[tex]-3x +4y^2 - 2y+ 6 = 0\\-3x=-4y^2+2y-6[/tex]

Change the sign of both side of the equation as,

[tex]3x=4y^2-2y+6[/tex]

Divide by number 3 as,

[tex]x=\dfrac{4}{3}y^2-\dfrac{2}{3}y+2[/tex]

This can be compared with the form of parabola equation.

Hence, the equation which can be represents a parabola in the standard form is given in the option C which is,

[tex]-3x +4y^2 - 2y+ 6 = 0[/tex]

Learn more about the equation of parabola here;

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Answer:

$8.50

Step-by-step explanation:

Set to $76.50:

76.5 = 9h

divide by 9

8.5 = h

He worked 8 and a half hours

Answer:

Step-by-step explanation:

Formula

P = 2*w + 2*L

Area = L*w

Givens

Area = P

L = 6

Create equation and Solve

LW = 2w + 2L

6w = 2w + 2*6

6w = 2w + 12                    Subtract 2w from both sides

6w - 2w = 12                     Combine

4w = 12                             Divide by 4

4w/4 = 12/4          

w = 3

Check

Area = 6*3 = 18

Perimeter = 2*3 + 2*6

Perimeter = 6 + 12           Combine

Perimeter = 18

It does check.

Answer:100,000

Step-by-step explanation:

Answer:

86%

Step-by-step explanation:

86+14=100

Since 100 is a very common percentage number, then 86% of people voted, and 14% did not.

Hope this helps! :)

Have a please day and remember to keep smiling! :)

Can I please have brainliest? I really want to level up

Answer:

Stephen Talked for 138 minutes.

Step-by-step explanation:

(0.10)m + 10.00 = 23.80         Given

              -10.00   -10.00      

            (0.10)m = 13.80          Subtraction Property of Equality

              /0.10       /0.10        

                      m = 138             Division Property of Equality

Answer: Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.

Stephan talked for ✔ 138 minutes.

Answer:

Step-by-step explanation:

This is a linear programming question

let the cordless trimmer be X

and the cord type be Y

the objective function is

maximize

36.50x+109.50y=P

constraints

2X+6Y<=600-----1

X+Y=200-----------2

solve 1 and 2 simultanouesly

mutiply  eqn 2 by 2 we have

2x+6y=600-------1

2x+2y=200--------3

subtract the eqns 3 from 1

4y=400

y=100

put y=100 in eqn 2 we have

x+100=200

x=200-100

x=100

36.50x+109.50y=P

36.50(100)+109.50(100)=P

 3650+10950=P

P=$14600

The company should produce

100cordless and 100 cord-type

Answer:

806

Step-by-step explanation:

add 2,578-3,384 you have to subtract  that to get our final answer which is 806 that's how many they have left.

Answer:

I think your answer is ab.

I think it will help you.

Answer: Well 6 / 2(1+2) = 9

and 814 x 407 = 331,298

Step-by-step explanation:

Answer:

2pi

Step-by-step explanation:

[tex]\begin{array}{ccll} lbs&\$\\ \cline{1-2} 1 & 3.98\\ 0.6& x \end{array} \implies \cfrac{1}{0.6}=\cfrac{3.98}{x}\implies x \approx 2.39[/tex]