Simple interest earned on an investment of $1200 at 9% for 4 years

Answer:

y = -6/3 + 12

Step-by-step explanation:

Step 1: Plot the point

Step 2: Simplify the given function then graph it

3y = -6x + 9 becomes:

y = -6/3x + 3

Step 3: Using the slope of -6/3 (because parallel lines will ALWAYS have the same slope) find 1 more point on the graph.

Step 4: Draw a line thru those points and find the y-int

y = ax + b, x and y are variables, a is the slope and b is the y-int

y = -6/3 + 12

Matching the following function

What is a Function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The function of f^(-1)(x) = 5x is:

f(x)= x / 5

The function of f^(-1)(x) = x^3 / 2 is:

f(x)=3√2x

The function of f^(-1)(x) = x+10 is:

x - 10

The function of f^(-1)(x) = 3(x + 17) / 2 is:

(2x / 3) - 17

Hence, These are the Match of one-to-one functions with their inverse functions.

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Answer:

  1.147×10^-2 cm

Step-by-step explanation:

You want the difference between the two values 1.87×10^-2 and 7.23×10^-3 expressed in scientific notation.

Addition and subtraction of numbers in scientific notation requires that the multipliers have the same exponent. That exponent can be chosen so no adjustment of the exponent is required in the answer.

  [tex]1.87\times10^{-2}-7.23\times10^{-3}= 1.87\times10^{-2}-0.723\times10^{-2}\\\\=(1.87-0.723)\times10^{-2}=\boxed{1.147\times10^{-2}}[/tex]

This measurement is in centimeters.

__

Additional comment

A calculator or spreadsheet can accept input and display results in scientific notation.

The difference in the diameter of of G and H is 1.147x 10⁻² cm

What are mathematics operations?

• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.

• The operation's arity is determined by the number of operands.

• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.

• A zero-arity operation, also known as a nullary operation, is a constant.

• The mixed product is an example of an arity 3 operation, also known as a ternary operation.

it is given that :

the diameter of cell G is = 1.87 x 10⁻² cm

the diameter of cell H is = 7.23 x 10⁻³ cm

Now, to find the difference between the diameter of two cells simply subtract the diameter of cell G and H :

difference in the diameter of of G and H = 1.87 x 10⁻² cm - 7.23 x 10⁻³ cm

difference in the diameter of of G and H=1.87 x 10⁻² cm - 0.723 x 10⁻² cm

                                                                  = 1.147x 10⁻² cm

Therefore, the difference in the diameter of of G and H is 1.147x 10⁻² cm

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we have

Find the unit rate in each case

so

718/5.95=120.67 miles per hour ---------> greater than 100 miles per hour

45.8/4=11.45 miles per hour ------> between 10 and 96 miles per hour

2,865/24.8=115.52 miles per hour -------> greater than 100 miles per hour

419.72/80.6=5.21 miles per hour ------------> less than 10 miles per hour

935.47/22.75=41.12 miles per hour ------> between 10 and 96 miles per hour

...................

Defining:

Number of messages of Lashonda = L

Number of messages of Josh = J

Number of messages of Brian = B

We know that:

L+J+B=90 (Equation 1)

We also know:

L = J+10 (Equation 2)

B=2J (Equation 3)

Now, we can substitue the values for L and B in the first equation

L+J+B=90

J+10 + J + 2J = 90

4J=90-10

4J=80

J=80/4

J=20

Since you found how many messages Josh sent, we can return to Equation 2 and 3:

L = J+10

L = 20 + 10

L = 30

B=2J

B=2*20

B=40

ANSWER:

Number of text messages Lashonda sent: 30

Number of text messages Josh sent: 20

Number of text messages Brian sent: 40

The length of the radius of the circle is √61.

Here there are two endpoints of the circle (-7,-4) and (3,8)

To find the distance between the two points we have a formula:

Distance = [tex]\sqrt{(x_{2} -x_{1} ^{2} + (y_{2} - y_{1})^{2} }[/tex]

So here we have

([tex]x_{1} , y_{1}[/tex]) = (-7, -4)

([tex]x_{2} , y_{2}[/tex]) = ( 3,8)

Putting the value we have,

=[tex]\sqrt{(3-(-4))^{2} + (8-(-7))^{2} }[/tex]

=[tex]\sqrt{10^{2} + 12^{2} }[/tex]

=√244

=2√61

The diameter is 2√61

radius = diameter/2

            = 2√61/2

            = √61

Therefore the length of the radius of a circle is √61.

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Answer:

1) Given

2) Subtraction Property of Inequalities

3) Division Property of Inequalities

Given the expression:

To solve this expression for x, means that you have to isolate the term "x" in one side of the equal sign and all other terms mus be in the other side of it.

To "pass" a term from one side of the = sign to the other you have to perform the inverse operation to both sides of the equation (this way the equality remains valid)

So, the term "fy" is adding, the inverse operation is to subtract it, first step is to subtract this term of both sides of the equation:

+fy and -fy cancel each other so that:

Next, the term "x" is being multiplied by "d" but you need to reach the point were x is alone.

To cancel this multiplication you have to divide it by "d", and to keep the equality valid you have to perform the operation in both sides of the = sign:

d/d=1, then we get that x is equal to:

Marco bought 12 roses for $48. Each rose was originally $4 before the discount, and Super Saver Get $2 off each rose when you buy 12 or more roses each rose is $6.

Therefore,

Marco bought 12 roses for $48. Each rose was originally $4 before the discount.

∴ 48/12 = $4   and,

Super Saver Get $2 off each rose when you buy 12 or more roses

each rose is $6.

∴ 12/2 = $6

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Answer:

XZ = 28

Explanation:

The trapezoid is isosceles because it has two equal sides WZ and XY.

The diagonals of isosceles trapezoids have the same length. So, WY is equal to XZ and we can write the following equation:

WY = XZ

15x - 2 = 9x + 10

Then, solving for x, we get:

15x - 2 = 9x + 10

15x - 2 + 2 = 9x + 10 + 2

15x = 9x + 12

15x - 9x = 9x + 12 - 9x

6x = 12

6x/6 = 12/6

x = 2

Therefore, the value of XZ is equal to:

XZ = 9x + 10

XZ = 9(2) + 10

XZ = 18 + 10

XZ = 28

So, the answer is XZ = 28

Simplifying:

1. The probability that they win both contract will be 23.4%.

It should be noted that probability simply means the likelihood that an event will occur.

The probability of winning the contract will be:

= Probability of A winning × Probability of B winning

= 45% × 52%

= 0.45 × 0.52

= 0.234

= 23.4%

The probability is 23.4%

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Answer

(8m + 1)^2 = (8m + 1)² = 64m² + 16m + 1

Explanation

The question simply wants us to simplify the expression

(8m + 1)^2

= (8m + 1)²

= (8m + 1) (8m + 1)

= 8m (8m + 1) + 1 (8m + 1)

= 64m² + 8m + 8m + 1

= 64m² + 16m + 1

Hope this Helps!!!

answer: b) - 28.05

By using the slope formula the required value of r is 7 .

Given : ( 2 , 5 ) and ( 5 , r )

The slope given is  2/ 3

We know that when two values of x and y are given and we are supposed to find the slope of the equation we use the slope formula.

And thus by using the slope formula we get the below :

y₂ - y₁ = m ( x₂ - x₁ )

= > r - 5 = 2/ 3 ( 5 - 2 )

On cross multiplying we get :

3 r - 15 = 10 - 4

Add 15 to both sides of the equation and we will get

3 r = 10 - 4 + 15

3 r = 21

Divide both sides by 7 and we get :

r = 7

Thus by using the slope formula the required value of r is 7 .

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- Area of First Carousel:

diameter = 13 m

- Area of Second Carousel:

diameter = 19 m

- The difference between the two areas is:

Answer:

The platform area of the larger carousel is 150.7 m^2 larger than the platform area of the smaller carousel.

First we have to take a look at the expression f(x + 1). This represents an horizontal translation. So this is the first transformation:

1. Horizontal translation

Now we can see that we have to multiply f(x + 1) by -1. This represents a reflexion on the y-axis

2. Reflection on y-axis

Finally we can see that -f(x + 1) is added by 3 units. This represents a vertical translation:

3. Vertical translation

Answer:

1. Horizontal translation

2. Reflection on y-axis

3. Vertical translation

Now let's see the final function:

f(x) = 2x - 5

f(x+1) = 2(x + 1) - 5

f(x+1) = 2x + 2 - 5

f(x+1) = 2x - 3

g(x) = -2x + 3 + 3

g(x) = -2x + 6

So let's plot f and g on the same reference system:

Given the following equation:

You need to solve for the variable "w" in order to find its value. To do this, you can follow the steps shown below:

1. You can apply the Subtraction property of equality by subtracting 29.7 from both sides of the equation. Then:

2. Finally, you need to apply the Division property of equality by dividing both sides of the equation by -0.2. Then, you get:

The answer is:

From the given figure , we will use the Sine function in order to find segment x .

Sin 70 ° = opposite /hypotaneus

Sin 70 ° =x /7

∴x = 7* Sin 70°

x = 6.5778

x ≈6.6 ...( rounded to the nearest 10 )

The numbers represented by the word problems are 33 and 6

The statements in the question are:

Let the numbers in the expressions be x and y

So, we have

x + y = 39

x = 7y - 9

Substitute x = 7y - 9 in the equation x + y = 39

So, we have

7y - 9 + y = 39

Evaluate the like terms

8y = 48

Divide both sides by y

y = 6

Substitute y = 6 in x + y = 39

x + 6 = 39

Evaluate the like terms

So, we have

x = 33

Hence, the numbers are 33 and 6

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The number of couches manufactured and sold in order to maximise the profit is 1560.

The demand function will be

p = 2700 - 0.75x

Here p = price per couch and x = number of couch

Total Fixed cost = $760000

Variable cost per couch = $360

Total cost = Fixed cost + variable cost

T(x) = 760000 + 360x

Revenue function will be

R(x) = Px

(2700 - 0.75x)x

2700x - 0.75x²

Since profit function = Pr(x)

Pr(x) = R(x) - T(x)

= 2700x - 0.75x² -760000 -360x

- 0.75x² + 2700x - 360x - 760000

For maximum profit

[tex]\frac{d}{dx}(Pr(x)) = 0[/tex]

[tex]\frac{d}{dx}[-0.75x^{2} + 2340x -760000 ] = 0[/tex]

-1.5x + 2340 = 0

x = 2340/1.5

x = 1560

The couches sold for maximum profit = 1560

Therefore, the number of couches manufactured and sold in order to maximise the profit is 1560.

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The given temperature is 63 F

The formula for convert temperature into Degree C from Degree F.

Substitute all the value in the above equation.

The nearest tenth is 17degree C.

Answer:

Correct answer:

a. The Savannah River

After we evaluate the function f at the indicated values the results are

a. (4) −11, (5) −52, (6) 0

b. (4) -1, (5) −17, (6) -5

c. (4) −2a−5, (5) −5a² −2a−1, (6) −3+a

d. (4) −2a+5, (5) 5a² −2a+1, (6) 3+a

A relation in which there is only one possible pairing of each x and each y is called a function. It should be noted that while the reverse is true, the same y can be paired with different x. Vertical and horizontal lines are the only types of linear equations that are not functions.

Lets evaluate the function a. f(-3)

4. f(-3) = 2(-3)-5

          = −11

5. f(-3) = −5(-3)²+2(-3)−1

          = −52

6.  f(-3) = -3-1-(-3)+1

            = 0

Lets evaluate the function b. f(2)

4. f(2) = 2(2)-5

          = −1

5. f(2) = −5(2)²+2(2)−1

          = −17

6.  f(2) = -3-1-(2)+1

            = −5

Lets evaluate the function c. f(-a)

4. f(-a) = 2(-a)-5

          = −2a−5

5. f(-a) = −5(-a)²+2(-a)−1

          = −5a² −2a−1

6.  f(-a) = -3-1-(-a)+1

            = −3+a

Lets evaluate the function d. -f(a)

4. -f(a) = -(2(a)-5)

          = −2a+5

5. -f(a) = -(−5(a)²+2(a)−1)

          = 5a² −2a+1

6.  -f(a) = -(-3-1-(a)+1)

            = 3+a

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Check the picture below.

we have taht

radius is

HG

HA

HE

HD

The radius is the distance from the center of the circle to any point that lies on the circle

In this problem

point H is the center of the circle

so

the distance from H to any point on the circumference of the circle is a radius

see the attached image

All those segments are radius

Part 2

Remember that

the circumference is equal to

so

In the table

the value of C is about 3 times the diameter

therefore

the values of flying disc are inaccurate

because

if D=23 cm the circunference must be about 69 cm, not 28 cm

By definition, the of a line written in Standard form is:

Where "A", "B" and "C" are Integers ("A" is positive).

The Slope-Intercept form of the equation of a line is:

Where "m" is the slope and "b" is the y-intercept.

You know that this line passes through these points:

By definition, the value of "x" is zero when the line intersects the y-axis. Then, you can identify that, in this case:

Now you can substitute the value of "b" and the coordinates of the second point into the following equation and solve for "m":

Then, the slope of the line is:

Therefore, the equation of this line in Slope-Intercept form is:

To write it in Standard form, you can follow these steps:

- Subtract 2 from both sides of the equation:

- Subtract "y" from both sides of the equation:

The answer is:

Answer:

2x-y =-2

Step-by-step explanation:

To find the equation of the line in standard form, first, we need to find the slope

m = ( y2-y1)/(x2-x1)

m = (10-2)/(4-0)

   = 8/4 = 2

Then we can use the slope intercept form

y = mx+b  where m is the slope and y is the y-intercept

y = 2x +b

Using the y-intercept ( 0,2)

y = 2x +2

The standard form is Ax +By =C  where A is a positive integer and B is an integer

Subtract 2x from each side

-2x +y = 2

Multiply each side by -1

2x-y =-2

Answer:

Sure

Step-by-step explanation:

Let me know what you want by making me brainliest

The area formula of a circle is :

From the problem, the diameter is 8 inches.

The area will be :

The answer is 50.27 in^2