Damian has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3 1/2 years to pay off the balance. The interest rate on his card is 21%. At the end of the 3 1/2 years, how much interest has he paid?

Answer:

5) yes, it's proportional

6) x = 5 (equivalent fraction)

7) x = 21 (equivalent fraction )

8) yes, it's proportional

The area of the window is [tex]\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}[/tex]

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = [tex]\frac{2\pi r}{2} = \frac{\pi x}{2}[/tex] , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + [tex]\frac{\pi x}{2}[/tex] = 25

Therefore, [tex]y =( 25 - x - \frac{\pi x}{2} ) / 2[/tex]

Area of the window = Area of the semicircle + Area of the rectangle =

 [tex]\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2[/tex]

 So Area of the window = [tex]\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}[/tex]

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The value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

The expression is given as:

3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two

Rewrite properly as:

[3² * 3⁻⁵]/[5⁻²]

Apply the negative exponent law of indices

So, we have

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]

Apply the exponent law of indices

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]

This gives

[3² * 3⁻⁵]/[5⁻²] = 25/27

Hence, the value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

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Answer:

D)

Step-by-step explanation:

the slope is 4 and intercept is 2

Answer:

2/1

Step-by-step explanation:

It goes over to the right one, and up two.

(If it went to the left it would be negative)

Hope this helps!

-AxekickNebulite

Answer:

x² -2x - 15 = 0

Step-by-step explanation:

(x+3)(x-5) = 0

x² -5x + 3x - 15 = 0

x² -2x - 15 = 0

Here is the correct order of the step:

Identify: Anna's time is the unknown

Strategize : let x = Anna's time

Set up : 7(40) = x(50)

Solve: x = 5.6

Check: 7(40) = 5.6(50)

The first step is to determine the distance Allen travelled:

Distance = average speed x time

40 x 7 = 280 miles  

The second step is to determine the time it took Anna to travel 280 miles.

Time = distance / average speed

280 / 50 = 5.6 hours

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Explanation:

Of your original given list, let's write down the parallelograms. They are:

So we cross those off the list since we want a quadrilateral with no sides parallel. A parallelogram, by definition, is a quadrilateral with both pairs of opposite sides that are parallel.

We can also rule out the trapezoids because a trapezoid is a four sided figure (quadrilateral) where we have exactly 1 pair of parallel sides, while the other sides are not parallel.

Lastly, we can rule out the kite because any kite has perpendicular diagonals.

The only thing left is quadrilateral. In my opinion this answer should be more specific and say "quadrilateral that isn't a parallelogram, a trapezoid, or a kite", but I think I see what your teacher was going for here.

Answer:

x = 8

Step-by-step explanation:

Since there are 3 x's in the graphic, we have to think what times 3 is 24? The answer to that is 8!

The value of x in the diagram is 8.

A tape diagram is a rectangular visual model that resembles a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication.

It is also known as a divided bar model, fraction strip, length model or strip diagram.

From the diagram, you will notice that:

x + x + x = 24

Add the three x:

3x = 24

Divide both sides by 3:

x = 24/3

x = 8

Thus, the value of x is 8.

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Step-by-step explanation:

Just count how many answers have at least two (HH)

In this case, it's 4.

The total outcomes are 8

4/8 can be reduced to

1/2

Therefore the probability the outcome has at least two heads is 1/2.

Answer:

[tex] \frac{1}{2} [/tex]

Answer:

Each of the domain values, x, should only output a single unique range value, y.

This example is a relation and not a function because the the domain value of -1 output 2 distinct range values.

-1 outputs a 3

and

-1 outputs a 5

If I were to draw a vertical line at the domain value of -1 that vertical line would intersect the points (-1,3) and (-1,5). Which indicates that the relation

Letter b is the right answer {(1, 2), (2, 6), (3, -2), (4, -6), because the first ordered pairs are not repeated.

a

c

Step-by-step explanation:

Answer:

A,c,and d

Step-by-step explanation:

brainest plz

Answer:

4 weeks

Step-by-step explanation:

Step one:

ben has 72 followers on his first day.

He averages 10 new followers each week

let the number of weeks be x

and the total followers be y

y= 72+10x--------1

Sarah also started a Twitter account and

has 100 followers on her first day and averages

3 new followers each week

let the number of weeks be x

and the total followers be y

y= 100+3x--------2

Step two:

let us equate the two expression to get the number of weeks x

72+10x=100+3x

collect like terms

10x-3x=100-72

7x=28

divide both sides by 7

x=28/7

x= 4 weeks

Answer:

The distance is 9 feet

Step-by-step explanation:

18 is the length of the hypotenuse.

To find the length of the adjacent side, we take the hypotenuse multiplied by the cosine of the angle which is 60 degrees.

18*cos(60) = 9

Answer:

Unknown

Step-by-step explanation:

dskljgjfhgdiagljhbajfhglvibliahgviyglvaj

Answer:

The tax was too much for me

Step-by-step explanation:

Sorry, Im a noob

dsx

sds

xdscxzxas

x

zszx

Work Shown:

(49 g)/(56 g)

49/56

(7*7)/(7*8)

7/8

Answer:

Step-by-step explanation:

You want an inequality to determine how many miles eddie can travel if he has $15 to spend on a taxicab that charges $1.75 for the flat fee and $0.25 for each mile.

The mileage charge is the per-mile charge ($0.25) multiplied by the number of miles (m). It will be $0.25m.

The total charge is the mileage charge plus the flat fee. Eddie wants that to be no greater than $15.

  1.75 +0.25m ≤ 15

We can solve this inequality in 2 steps.

  0.25m = 13.25 . . . . . subtract 1.75

  m = 53 . . . . . . . . . . . divide by 0.25 (or multiply by 4)

Eddie can travel 53 miles if he has $15 to spend.

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Answer:

The first one and the second one

Step-by-step explanation:

I hope that this helped

Answer:

45 for 5 and 34 for 6.

Step-by-step explanation:

You are just subtracting by 11.

Answer:

ether:

y= 1/3 = 0.333

OR

y= 3/2 = 1.500

Answer:

b

B -4+(-9

Step-by-step explanation:

because plus a negative number is just like subtracting i belive

10

Step-by-step explanation:

24*5=12*10

120=120

Answer:

b is the answer

Step-by-step explanation:

The missing coefficients of x² is 8.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

According to the question we have been given the expression which is :

(15x^2+11y^2+8x)-(7x^2+5y^2+2x)=[blank]x^2+6y^2+6x      

In this we have to find the missing coefficient.

To find the missing coefficients we will solve the L.H.S that is

=  (15x^2+11y^2+8x)-(7x^2+5y^2+2x)    

First we will eliminate the brackets we get

   15x^2+11y^2+8x-7x^2-5y^2-2x

Solving the coefficients of  x² terms , y² terms and x terms we get

       = 8x² + 6y² + 6x

Which is equal to the R.H.S

Combining both the equation we get the coefficient of the x² is 8.

Hence the missing coefficient is 8.

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Answer:

Step-by-step explanation: Given that eight less than one-third of a number n is -13.

We are to find the value of n.

According to the given information, the equation for n can be written and solved as follows :

Thus, the required value of n is -15. I hope this really helps you(:

Answer:

[tex]\bold{\frac{n}{3} - 8 = - 13}[/tex]

and the solution is
[tex]\bold{n = -15}[/tex]

Step-by-step explanation:

I believe this sentence is mistyped
It should be Eight less than 1/3 a number n is -13

Analyze the word problem piece by piece not necessarily from the beginning of the sentence

If you wanted to solve this equation for n here's how to proceed

Answer:

it's a 0.02% error.

147/150= 0.98% of the folders are there, making the error 0.02%

Step-by-step explanation:

Answer:

It will take him 1 hour 35 minutes to finish a 10 mile race

Answer is (C)

Cody runs 10-mile in 1 hour 35 minutes.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Cody runs 4 miles in 38 minutes.

Now,

Since, Cody runs 4 miles in 38 minutes.

Hence, The time to run 10 miles = 38 × 10 / 4

                                                  = 380/4

                                                  = 95 minutes

                                                  = 1 hour 35 minutes

Thus, Cody runs 10-mile in 1 hour 35 minutes.

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Answer:

D

Step-by-step explanation:

Let's first find the slope.

y2-y1/x2-x1

-3-4/6--8

-7/14

-1/2

So it is D

Answer:

[tex]m=\frac{-7}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 4)

Point (1, -3)

Step 2: Find slope m

Answer: -7/4 is the slope

Step-by-step explanation: find 2 points on the line and the go up seven and over four