What is a y -intercept? How is a y -intercept different from an x -intercept?

Based on the loan amount of $15,000 and the fair credit score, the amount of interest to be paid on the loan at the end of the first month is $80.

The interest on a credit score that is fair is 6.40%.

That means the annual interest on the loan is:

= 15,000 x 6.40%

= $960

The interest in the first month is:

= Annual interest / number of months in year

= 960 / 12 months

= $80

In conclusion, the interest in the first month is $80.

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The decimal number with repeating digits can be written as:

0.344... = 31/90

Here we have the number:

0.3444....

Where the 4 keeps repeating.

First, we need to multiply this by 10, so we get:

10*0.344... = 3.444...

Now if we subtract the original number we get:

10*0.344... - 0.344... = 3.444... - 0.344...

9*(0.344...) = 3.1

Now, isolating the original number:

0.344... = 3.1/9

Finally, we multiply and divide the fraction by 10 so we get two whole numbers:

0.344... = (10/10)*(3.1/9) = 31/90

0.344... = 31/90

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Answer:

470,006,962

hope this helped :)

Answer:

407,006,962

you can check it on the internet ;)

The area of the parallelogram = 7 × 6 = 42 units².

The area of a parallelogram = base × height.

Given the following:

The length base of the given parallelogram = 7 units

The height of the parallelogram, is the rise of the side = 6 units.

Using the area formula for a parallelogram, we have:

The area of the parallelogram = 7 × 6

The area of the parallelogram = 42 units²

Therefore, the area of the parallelogram = 7 × 6 = 42 units².

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The solutions of the quadratic equations are listed below:

In this problem we find quadratic equations of the form a · x² + b · x + c = 0, whose roots can be found analytically by using the quadratic formula:

x = - b / (2 · a) ± [1 / (2 · a)] · √(b² - 4 · a · c), a ≠ 0

Now we proceed to solve each quadratic equation:

1) 2 · x² + 7 · x + 6 = 0

x = - 7 / (2 · 2) ± [1 / (2 · 2)] · √(7² - 4 · 2 · 6)

x₁ = - 1.5, x₂ = - 2

2) 5 · b² - 11 · b - 12 = 0

b = 11 / (2 · 5) ± [1 / (2 · 5)] · √[(- 11)² - 4 · 5 · (- 12)]

b₁ = 3, b₂ = - 0.8

3) m² - 7 · m + 2 = 0

m = 7 / (2 · 1) ± [1 / (2 · 1)] · √[(- 7)² - 4 · 1 · 2]

m₁ ≈ 6.702, m₂ ≈ 0.298

4) 2 · h² - 5 · h - 11 = 0

h = 5 / (2 · 2) ± [1 / (2 · 2)] · √[(- 5)² - 4 · 2 · (- 11)]

h₁ ≈ 3.908, h₂ ≈ - 1.408

5) 3 · x² + 2 · x - 8 = 0

x = - 2 / (2 · 3) ± [1 / (2 · 3)] · √[2² - 4 · 3 · (- 8)]

x₁ ≈ 1.333, x₂ = - 2

6) n² - 15 · n + 8 = 0

n = 15 / (2 · 1) ± [1 / (2 · 1)] · √[(- 15)² - 4 · 1 · 8]

n₁ ≈ 14.446, n₂ ≈ 0.554

7) 4 · a² + 9 · a + 1 = 0

a = - 9 / (2 · 4) ± [1 / (2 · 4)] · √(9² - 4 · 4 · 1)

a₁ ≈ - 0.117, a₂ ≈ - 2.133

8) 5 · k² - 2 · k - 18 = 0

k = 2 / (2 · 5) ± [1 / (2 · 5)] · √[(- 2)² - 4 · 5 · (- 18)]

k₁ ≈ 2.108, k₂ ≈ - 1.708

9) 8 · t² + 6 · t - 35 = 0

t = - 6 / (2 · 8) ± [1 / (2 · 8)] · √[6² - 4 · 8 · (- 35)]

t₁ = 1.75, t₂ = - 2.5

10) 3 · y² - 2 · y + 7 = 0

y = 2 / (2 · 3) ± [1 / (2 · 3)] · √[(- 2)² - 4 · 3 · 7]

y₁ ≈ 0.333 + i 1.491, y₂ ≈ 0.333 - i 1.491

11) 2 · q² + q - 14 = 0

q = - 1 / (2 · 2) ± [1 / (2 · 2)] · √[1² - 4 · 2 · (- 14)]

q₁ ≈ 2.408, q₂ ≈ - 2.908

12) 0.5 · x² - 3 · x - 9.4 = 0

x = 3 / (2 · 0.5) ± [1 / (2 · 0.5)] · √[(- 3)² - 4 · 0.5 · (- 9.4)]

x₁ ≈ 8.273, x₂ = - 2.273

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Answer 825

Step-by-step explanation:

275/2=137.5

137.5x6=825

Answer:

118

Step-by-step explanation:

[tex]10^{2} + 2(6-3)^{2}[/tex]   To start off, we work in the Parenthesis; 6-3 = 3

[tex]10^{2} + 2(3)^{2}[/tex]  Now, we must do the exponents; 10^2 = 100; 3^2 = 9

[tex]100 + 2(9)[/tex]   Next, we have to distribute the 2 to the 9; 2 x 9 = 18

[tex]100 + 18[/tex]  Lastly, we have to add 100 and 18; 100 + 18 = 118

So! Our final answer is 118!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

118

Step-by-step explanation:

m)  [tex]10^{2} + 2(6-3)^{2} = 10^{2} + 2(3)^{2} = 10^{2} + 2(9)= 100 + 18 = 118[/tex]

Answer:

====================

Supplementary angles sum to 180°.

Answer:

29

Step-by-step explanation:

ur in high school bro. Im in 7th grade. Get good bc is gonna get harder

The angle ∠JKN  is 79°

A figure which is formed by two rays or lines that shares a common endpoint is called an angle. A bisector divides an angle into two equal angles.

∠JKN = (8x - 13)°                     (given)

∠NKL = (6x +11)°                      (given)

∠JKN = ∠NKL                         ( As KN bisects ∠JKL )

8x - 3 = 6x + 11                        ( substituting equations from question )

8x - 6x = 11 + 3                        ( bringing like terms on same side)

2x = 23                                    

x = 23/2

x = 11.5

Now, put value of x in the given equation: ∠JKN = (8x - 13). we get

∠JKN = (8x - 13)

∠JKN = (8*11.5 - 13)

∠JKN  = (92 - 13)

∠JKN  = 79°

Therefore, We can conclude that the angle ∠JKN  is 79°.

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[tex]\displaystyle\\Answer:\ y=\frac{x}{3}-3[/tex]

Step-by-step explanation:

      [tex](0,-3)\ \ \ \ \ (6,-1)[/tex]

     [tex]\displaystyle\\ Equation\ of\ the\ line\\\\\boxed {\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1} }[/tex]

 [tex]\displaystyle\\x_1=0\ \ \ \ x_2=6\ \ \ \ \ y_1=-3\ \ \ \ \ y_2=-1\\\\\frac{x-0}{6-0}=\frac{y-(-3)}{-1-(-3)}\\\\\frac{x}{6}=\frac{y+3}{-1+3} \\\\\frac{x}{6} =\frac{y+3}{2} \\\\Multiply\ both\ parts\ of \ the\ equation \ by \ 2:\\\\\frac{x}{3}=y+3\\\\\frac{x}{3}-3=y+3-3\\\\ \frac{x}{3} -3=y \\\\Thus,\\\\y=\frac{x}{3}-3[/tex]              

The simplified form of expression is  (2y + 3).

Rewriting the provided mathematical expression first -

5/(y + 3) + 15/(y - 3)

Shifting the second expression on other side of equation -

5/(y + 3) = - 15/(y - 3)

Performing cross multiplication

5 (y - 3) = -15 (y + 3)

5y - 15 = -15y - 45

Rearranging the equation

5y - (-15y) = -45 - (-15)

Performing addition and subtraction

5y + 15y = -45 + 15

20y = -30

Dividing both sides of equation by 10

2y = - 3

Rearranging the equation -

2y + 3

Hence, the simplified form of expression is (2y + 3).

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Answer:

Plug the following equation in your calculator and this will be your result

7.247 x 10^6

The value of the exponential equation in scientific notation A = 7.247 x 10⁶

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Let the first number be p = 7.26 x 10⁶

Let the second number be q = 1.3 x 10⁴

Now , the equation is A = p - q

A in the scientific notation is

Substituting the values in the equation , we get

A = 7.26 x 10⁶ - 1.3 x 10⁴

On simplifying the equation , we get

Taking the common factor as 10⁴ , we get

A = 10⁴ ( 7.26 x 10² - 1.3 )

A = 10⁴ ( 726 - 1.3 )

On further simplification , we get

A = 10⁴ ( 724.7 )

And , the value of A in scientific notation is A = 7.247 x 10⁶

Hence , the exponential equation is A = 7.247 x 10⁶

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The sum of the infinite geometric series 6+5+ 25/6 + . .  is S = 36

The given geometric series is:

  1 - 1/2 + 1/4 - . . ..

The common ratio (r) of a geometric series is given by:

  r = a(n) / a(n - 1)

Notice that in the given series:

a(1) = 1

a(2) = -1/2

a(3) = 1/4

Hence, the common ratio is

   r = a(2) / a(1) = -1/2

Since 0 < | r | < 1, the series is convergent and the sum exists.

Use the sum formula:

S = a(1) / (1 - r)

Substitute a(1) = 1 and r = -1/2 into the formula:

S = 1 / (1 - (-1/2))

   = 1 / (3/2)

   = 2/3

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Answer:

Step-by-step explanation:

-y = -4x +6

y = 4x -6

Any line with a slope of 4 and y-int other than -6 is parallel to y = 4x-6

The possible value of angle ∠K, to the nearest degree is 31 degrees

The given parameters are

Triangle = ΔKLM,

Length k = 56 inches,

Length m = 51 inches

Angle ∠M =28

To calculate the possible value of angle K, we make use of the following sine rule

k/sin(K) = m/sin(M)

Substitute the known values in the above equation

So, we have

56/sin(K) = 51/sin(28)

Cross multiply in the above equation

So, we have

51 x sin(K) = 56 x sin(28)

Evaluate the product in the above equation

So, we have

51 x sin(K) = 26.29

Divide both sides of the above equation by 51

So, we have

sin(K) = 0.52

Take the arc sin of both sides

So, we have

K = 31

Hence, the possible value of angle ∠K, to the nearest degree is 31 degrees

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Answer:

this is the solution for your question

The circumference of one tire is 75.36 inches.

We are given the diameter of tire of bicycle. The formula of circumference is as follows -  

Circumference = 2× π × r, where r is representative of radius of circle.  As we are given the diameter, we will use the formula of circumference with diameter. The formula to be used is as follows -

Circumference = π × d, where d is representative of diameter of circle.

Keep the values in formula to find the value of circumference of one tire. We will be taking the value of π as 3.14.

Circumference = 3.14 × 24

Performing multiplication to find the circumference of one tire.

Circumference = 75.36 inches

Hence, the circumference of one tire of bicycle is 75.36 inches.

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Answer: MP is 29 units

Step-by-step explanation:

MP=MN+NP

5y+9=17+3y

5y+9-3y=17+3y-3y

2y+9=17

2y+9-9=17-9

2y=8

Divide both parts of the equation by 2:

y=4

Thus:

5*4+9=

20+9=

29 units

According to the given statement

The sum of a number x and 7, divided by 15 , is at most is -52

Ax+b = 0, where a and b are two integers, and x is a variable, is an example of a linear equation with one variable. This equation has just one solution. In the linear equation 2x+3=8, for instance, there is just one variable.

The fundamental equation used to express and solve for an unknown quantity is a linear equation in one variable. It is always a straight line, and it is simply shown visually. A mathematical statement is simply represented by a linear equation. Unknown quantities can be represented by any variable or symbol, but often, the unknown quantity in a linear equation with one variable is represented by the variable "x." There are a few straightforward procedures for solving linear equations. 

According to the given value;

= (x+7)/3=15

⇒x+7=-45

=>x=-45-7

   x= -52

Therefore your answer is = -52

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The number of ounces gained by the Kitten before it went home with its new owner is; 3 1/8 ounces.

It follows from the task content that the it is required that the weight gained by the kitten in ounces is to be determined.

Since the kitten weighed 5 1/2 ounces on the day it was sold and weighed; 3 3/8 ounces at birth, the number of ounces gained is;

= 5 1/2 - 3 3/8

= 11/2 - 27/8

= (44 - 27)/8

= 17/8

= 2 1/8 ounces.

Ultimately, the weight gained by the kitten, in ounces following evaluation from the task content is; 2 1/8 ounces.

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There are 5040 different ways can the runners finish first, second, third, and fourth place if ten runners are racing.

The permutation is defined as considered an ordered combination.

The general formula for this is:

P(n, r) = n! (n-r)!

Ten runners are racing

There are ten runners who can win first place, hence there are ten ways.

Any of the remaining 9 runners may get up to the second position in nine different ways.

Any of the remaining 8 runners may get up to the third position in eight different ways

Any of the remaining 7 runners may get up to the fourth position in seven different ways

So total number of ways = 10 × 9 × 8 × 7 = 5040

Another way 4 Out of 10 need to select where order matters

= ¹⁰P₄

= 10!/6!

= 10 × 9 × 8 × 7

= 5040

Hence, there are 5040 different ways can the runners finish first, second, third, and fourth place if ten runners are racing.

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Based on the definition of supplementary angles:

Algebraic equation: A. x + (1/2x + 3) = 180

The measure of the smaller angle is: 62°

The measure of the larger angle is: 118°.

The sum of the two angles that are supplement of each other is equal to 180 degrees, hence they are called supplementary angles.

One of the angles = x

The second angle = 1/2x + 3

Since they are supplementary angles, we will have the following algebraic equation:

x + (1/2x + 3) = 180

Solve for x

x + 1/2x + 3 = 180

3/2x = 180 - 3

3/2x = 177

2/3(3/2x) = 2/3(177)

x = 118°

The second angle = 180 - 118 = 62°

Therefore, based on the definition of supplementary angles, we have the following:

Algebraic equation: A. x + (1/2x + 3) = 180

The measure of the smaller angle is: 62°

The measure of the larger angle is: 118°.

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Two angles that form a linear pair are supplementary:  Always TRUE

Therefore, the statement "two angles that form a linear pair are supplementary" is Always TRUE.

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When written as a radical, the index of a expression x²/³ is 2.

To rewrite the expression x²/³ as a radical expression, we must first understand what such a radical expression is.

A radical expression is a form expression:  ⁿ√x.

As,  ⁿ√x = x¹/ⁿ

Thus the given expression x²/³ can be written in the above form as;

x²/³ = (³√x)²

Now, the obtained result (³√x)² is written in the radical form where (³√x) is a radical.

As, the expression (³√x) is raised to the 2 power, the index of the expression when the expression is written as x²/³ have a radical is 2.

As a result, the index of the expression x²/³ when rewritten as a radical is 2.

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The complete question is-

What is the index when the expression x^2/3

is rewritten as a radical expression?

Hence, the number of people are in the Smith family is [tex]23[/tex].

What is the division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Here given that,

A hotel charges $[tex]80[/tex] for a basic room for one person per night. It charges $[tex]15[/tex] for each additional person per night. The Smith family takes three rooms for three nights. The bill comes to $[tex]1035[/tex].

So,

Rent for the one day is

[tex]\frac{1035}{3}=345[/tex]

Number of people are in the Smith family is

[tex]\frac{345}{15}=23[/tex]

Hence, the number of people are in the Smith family is [tex]23[/tex].

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