If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?

Answer:

The number is 22

Step-by-step explanation:

let x = the number

[tex] \frac{1}{2} x + x - 8 = 25 \\ \frac{1}{2} x + x - 8 + 8 = 25 + 8 \\ \frac{1}{2} x + x = 33 \\ factor \: out\: x \: on \: the \: left \\ x( \frac{1}{2} + 1) = 33 \\ divide \: both \: sides \: by \: \frac{1}{2} + 1 \\ \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2} + 1} = \frac{33}{ \frac{1}{2} + 1} \\ x = \frac{33}{ \frac{3}{2} } \\ x = \frac{66}{3} \\ x = 22[/tex]

let's factor out x from the left hand sid

Answer:

Step-by-step explanation:

y > 3x + 10

y < -3x - 1

You'd graph the given systems of linear inequalities the same way as you graph the linear equations.  

To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph.  Use a dashed line (because of the ">" symbol).  

Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).  

Pick a test point on either side of the boundary line and plug it into the original problem.  This will help determine which side of the boundary line is the solution.  Plug in a test point that is not on the boundary line.

Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.  

y > 3x + 10

0 > 3(0) + 10

0 > 0 + 10

0 > 10 (False statement).  

y < -3x - 1

0 < -3(0) - 1

0 < 0 - 1

0 < -1 (false statement).  

Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.  

You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.  

y > 3x + 10

10 > 3(8) + 10

10 > 24 + 10

10 > 34 (False statement).  

y < -3x - 1  

10 < -3(8) - 1

10 < -24 - 1

10 < -25 (false statement).  

Therefore, (8, 10) is not a solution to the system.    

Answer:

what are the pair of points?

Answer:

4/5, 3/4, 5/7, 2/7, 1/7

Step-by-step explanation:

Answer:

I am here to help you like a hero

Step-by-step explanation:

so the order is 4/5,3/4,5/7,2/7,1/7

Answer:Cell content

Started at 20° and dropped 4° each minute                      -4

Cell content

Started at −20° and rose 1° each minute                              1

Cell content

Started at 20° and dropped 1° each minute                       -1

Cell content

Started at −20° and rose 4° each minute                             1

Step-by-step explanation:

Answer:

Cell content

Started at 20° and dropped 4° each minute                      -4

Cell content

Started at −20° and rose 1° each minute                              1

Cell content

Started at 20° and dropped 1° each minute                       -1

Cell content

Started at −20° and rose 4° each minute                             1

Step-by-step explanation:

Answer:

a) -8yx-20y

b) -6x ² - 3xy - 16x -2y - 8

Step-by-step explanation:

a) -4y(2x+5) apply multiplicative distribution law

-4y × 2x - 4y × 5 multiply the monomials

-8yx - 20y

b) kinda the same steps like a

:) distributive property btw

hope it helps if you need the steps for b I'll send them in the comment

Answer:

Third graph in the photo

Step-by-step explanation:

x^2+3x-4 can be factored as (x+4)(x-1). When y=0, x must be -4 or 1 to satisfy the equations, and thus the roots of the graph are at x=-4 and x=1. When x=0, y=(4)(-1)=-4. The only graph that satisfies both of these requirements is the third/last one.

Answer:

500=10x50

Step-by-step explanation:

Answer:

Lauren

Step-by-step explanation:

1/2 is Erin

3/4 is Lauren

Answer:

1/2 for Eric and 6/8 for lauren

Eric: 1/2 = 4/8

Lauren: 6/8

Lauren was more succesful

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

because 3x+24=90

3x=90-24

3x=66

x=22

brainlist please

Answer:

7/18

Step-by-step explanation:

Answer:

-6,-6 because -7x-1 would be -6x

Step-by-step explanation:

Answer:

I am going to say 3. but not 100% if it right let me know

Answer:

letter A

Step-by-step explanation:

because that's my favorite letter

Answer:

0.1345

Step-by-step explanation:

The bolded numbers are what is barred

345 is constantly repeated so that is what would be barred as that repeats for ever

Answer:

3/1345

Step-by-step explanation:

Answer:

about 24 people in the circle

Step-by-step explanation:

find circumfrence using pi r squared which is 94 and divide by 4 which is the distance between students

Answer: You did not give a sequence so I cannot help you.

Step-by-step explanation: try to copy and paste the entire sequence.

20234555446698382636

Problem 1

I'm assuming your teacher means "list all the possible rational roots".

If so, then we use the rational root theorem. This is the idea where we'll divide the factors of the last term over the factors of the first coefficient.

If we divide said factors in the order mentioned, then we get this list of possible positive rational roots:

1/1, 1/3, 5/1, 5/3

That list simplifies to

1, 1/3, 5, 5/3

That takes care of the positive possible rational roots. We double the list to incorporate the negative possible rational roots as well

-1, -1/3, -5, -5/3

Note: We can rewrite that list in bold into [tex]\pm 1, \pm\frac{1}{3}, \pm 5, \pm \frac{5}{3}[/tex] to shorten it.

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

Problem 2

We'll follow the same idea as the previous problem

Factors of 36:  1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 4:  1, 2, 4

To keep track of everything, I made a spreadsheet table. Refer to the diagram below. The factors of 36 are laid across the top while the factors of 4 are along the left side. Each inner cell represents dividing the headers.

For example, 36/4 = 9 is in the bottom right corner. The first table is before the fractions are reduced, and the second table after the fractions are reduced.

As the second table shows, we have a few repeats. The unique items here are:

1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4

We'll then mirror this set to include negative values as well to write the full list of all possible rational roots.

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

Problem 3

Divide the factors of 15 over the factors of 5 to get

1/1, 1/5, 3/1, 3/5, 5/1, 5/5, 15/1, 15/5

That list reduces to

1, 1/5, 3, 3/5, 5, 1, 15, 3

we can then toss out the duplicates to get

1, 3, 5, 15, 1/5, 3/5

Don't forget to include the negative values as well

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

Problem 4

The steps will be effectively the same as before. You can write out the factors like done in problem 3, or make a table like done in problem 2. I'll skip the steps shown here unless you need me to go over them.

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

Problem 5

There's not really much new here, except for the fact that the first term has coefficient of 1. This is a special case where all we have to do is list the factors of the last term -40 to generate all the roots we need. This is because each time we're dividing over +1 or -1 which doesn't really change the overall result (except for the sign part).

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Don't forget the negative values as well

Answer:

slope=2/4 or 1/2

Y-Intercept=8

Step-by-step explanation:

-2x+4y=8

+2x both sides

4y=2x+8 /4

y=2/4x+8

Slope=2/4 or 1/2

Y-Intercept=8

The equation that models the situation is: 89.22 = $10.95p  +  $12.57.

The cost of one pizza is $10.95. The cost of 2 pizzas would be equivalent to the multiplication of $10.95 by 2. Since we are not provided with the information on the total amount of pizza she bought, the total number of pizza bought would be represented with p.

Thus the total cost of p boxes of pizza = $10.95 x p = $10.95p

The total amount spent on sodas is $12.57.

The total amount spent is $89.22.

The equation that models the situation is: 89.22 = $10.95p  +  $12.57.

A similar question was answered here: https://brainly.com/question/20063434?referrer=searchResults

Answer:

Slope: 2/7

Step-by-step explanation:

y2 - y1/ x2 - x1 = 2/7

Let x = # of 25-cent stamps

y = # of 2-cent stamps

{   x+ y = 88

{ 0.25x + 0.02y = 15.56

60 25-cent stamps 28 2-cent stamps

Answer:

£58.50

Step-by-step explanation:

Ratio of Paint : Cost

10 : 45

13 : x

10x : 585

[tex] \frac{10x}{10} = \frac{585}{10} \\ x = 58.5 [/tex]

Answer:

false, true, false

Step-by-step explanation:

Answer:

Step-by-step explanation:

x + 0.05x = 36225

x(1 + 0.05) = 36225

x*1.05 = 36225

by solving we find:

x = $34,500

Answer:

6/5

Step-by-step explanation:

9×4=36

6×5=30

36/30÷2

18/15÷3

6/5

Answer:

224

Step-by-step explanation:

b = 32, h = 7 is the solution to P = 78. Hence, 7*32 = 224 is the answer