Alexandra opened a savings account with $1200 that pays no interest. She deposits
an additional $60 each week thereafter. How much money would Alexandra have in
the account 39 weeks after opening the account?
Arithmetic and geometric sequence

Answer:

there are no variables

Step-by-step explanation:

2x+4(3x-13)=4

2x+12x-52=4

14x=4-52

14x=-48

x= -48/14

I think I went wrong somewhere ,so could someone please check

Answer:

slope = -2  

Step-by-step explanation:

To find the slope, you can use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line also passes through.

So, in order to answer the question, we need two points from the line. To find these points, look at the x and y values of the table - they form points. Thus, (-2, 0) and (-1,-2) would be two points the line passes through. Use those x and y values and substitute them into the formula. Then, solve:

[tex]slope = \frac{y_2-y_1}{x_2-x_1}\\= \frac{(-2)-(0)}{(-1)-(-2)}\\= \frac{-2-0}{-1+2} \\= \frac{-2}{1} \\= -2[/tex]

Thus, the slope is -2.

Answer:

255mm squared

Step-by-step explanation:

it is true i got it wrong and found out the hard way

Answer:

255

Step-by-step explanation:

edge

Answer:

The functions are inverse functions. F is exponential and g is logarithmic.

Step-by-step explanation:

Answer:

Function f is an exponential function with a base of 10, and function g is a logarithmic function with a base of 10. These two functions are inverse functions. The values in the domain of function f are the values in the range of function g, and the values in the range of function f are the values in the domain of function g. The graph of function g is the graph of function f reflected over the line y=x The two functions have similar, but inverse, features. For example, function f has a horizontal asymptote of y=0 and crosses the y-axis at (0,1) while function g has a vertical asymptote at x=0 and crosses the x-axis at (1,0)

Step-by-step explanation:

Plato answer

Answer:

Multiply the top equation by -3 and the bottom equation by 2.

Answer:

[tex]\frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8[/tex]

Step-by-step explanation:

Given;

p(x) = x³ + x²- 20x + 24

factor of p(x) = x-3

Apply long division method;

                 x² + 4x - 8

              ------------------------------

x - 3     √ x³ + x²- 20x + 24

             -( x³ - 3x²)

              -------------------------------

                      4x² - 20x + 24

                    -(4x²  -12x )

             -------------------------------

                               -8x  + 24

                             - (-8x  + 24)

              -----------------------------------------

                                       0

[tex]thus, \ \frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8[/tex]

Answer:

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

the answer is B) 28

Answer:

28

Step-by-step explanation:

i got it right on plato

Step-by-step explanation:

By Intersecting Chords Theorem,

9 * 4x = 8 * (4x + 2).

=> 36x = 32x + 16

=> 4x = 16, x = 4. (2)

Answer:

4 is the answer okay because its four there

Answer:

10cm (I think)

Step-by-step explanation:

2/3 = .66666666 x 6 = 4

4 +6 = 10

Answer:

y=-.5x+4

Step-by-step explanation:

Answer:

5.25 miles

Step-by-step explanation:

All you do is multiply 3/4 times 7 and it gives you the amount of miles that was ran in that week

Answer:

2(d+3)

Step-by-step explanation:

2*d=2d

2*3=6

Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

Answer: 1 remainder 3

Step-by-step explanation:

11 divided by 8 step-by-step guide

Step 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

8  1 1

Step 2

We can work out that the divisor (8) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:

 0  

8  1 1

Step 3

If we multiply the divisor by the result in the previous step (8 x 0 = 0), we can now add that answer below the dividend:

 0  

8  1 1

 0  

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:

 0  

8  1 1

- 0  

 1  

Step 5

Move the second digit of the dividend (1) down like so:

 0  

8  1 1

- 0  

 1 1

Step 6

The divisor (8) goes into the bottom number (11), 1 time(s), so we can put 1 on top:

 0 1  

8  1 1

- 0  

 1 1

Step 7

If we multiply the divisor by the result in the previous step (8 x 1 = 8), we can now add that answer below the dividend:

 0 1  

8  1 1

- 0  

 1 1

  8  

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (11 - 8 = 3) and write that answer below:

 0 1  

8  1 1

- 0  

 1 1

-  8  

  3  

So, what is the answer to 11 divided by 8?

If you made it this far into the tutorial, well done! There are no more digits to move down from the dividend, which means we have completed the long division problem.

Your answer is the top number, and any remainder will be the bottom number. So, for 11 divided by 8, the final solution is:

1

Remainder 3

HOPE THIS HELPS!

Answer:

yeah what she said

Step-by-step explanation:

the answers are:

b. x = sin -1 (c/b)

c. x = tan -1 (c/a)

e. x = cos -1 (c/b)

Answer:

$112.75

Step-by-step explanation:

5% of 118.65=5.9

118.65-5.9=112.75

Answer:

124.65

Step-by-step explanation:

the other person subtracted the tax.

Answer:

1000 grams= 1 kilograms

4700 grams = 4.7 kilograms

Answer:

First use the distributive property.

2(4x) 2(-2) = 8(x) 8(-7)

You will get 8x - 4 = 8x - 56

This answer has no solutions since -4 does not equal -56.

Answer: no solution

Step-by-step explanation: So i'm guessing we're solving for x? no sweat

First Distribute the constants on the outside of the expression so 2(4x-2)=8(x-7) becomes 8x-4=8x-56 right now we have a problem. X is on both sides and we don't want that cause it complicates things so we want our variable x in this case on one side. if you subtract 8x from either side your left with no variable so there is no solution.

Answer:

#1 is the AA postulate

Step-by-step explanation:

It is the AA postulate because both triangles have congruent angles, making the triangles similar.

1. By using Angle-Angle (AA) Similarity Postulate triangle PRQ and STU are similar.

2. By using Angle-Angle (AA) Similarity Postulate triangle ABC and DEC are similar.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

1. From Figure

In triangle PRQ and STU

<RPQ = <UST

and, <PQR  = <STU

Thus, By using Angle-Angle (AA) Similarity Postulate

triangle PRQ and STU are similar.

2.  From Figure

In triangle ABC and DEC

<ACB  = <ECD (Vertical opposite angle)

and, <BAC  = <CDE (Alternate Interior Angle)

Thus, By using Angle-Angle (AA) Similarity Postulate

triangle ABC and DEC are similar.

Learn more about similarity of Triangles here:

https://brainly.com/question/14926756

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Answer:

The rate of change of function g is: 3/2

Step-by-step explanation:

Given the table of function g

x               y

2              4

4              7

6             10

8             13

We know that rate of change is also termed as the slope of the function.

Thus,

let us take any two points, let say

(2, 4) and (4, 7)

Determining the slope between (2, 4) and (4, 7)

(x₁, y₁) = (2, 4)

(x₂, y₂) = (4, 7)

Using the formula

Rate of change or Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [7 - 4] / [4 - 2]

               = 3 / 2

Thus, the rate of change of function g is: 3/2

Answer:

answer:A=408.41ft2 ur welcome

Step-by-step explanation:

Answer:

like terms are numbers or letters that are a like.

y² is the only letter with a square in this problem. Whilst xy and 2xy are the same.

y²+ xy + 2xy

y² there is no letter with square again.

xy+2xy is the same as one orange + two orange.

1 is never written against a letter.

y²+ xy + 2xy

y²+3xy

Answer:

I think it was 3/5

I'm not sure

Answer:

if it is 6 to power 2 then it is 36

Answer: The median is 427.39

Answer:Exactly one solution.

Step-by-step explanation:

- 32 +9 – 2x = -12 – 5x

1.Add numbers

-23 - 2x= -12-5x

2.Rearrange terms

-2x - 23 = -12 - 5x

3. Rearrange terms

-2x - 23 = -5x-12

4. Add 23 to both sides of the equation

-2x-23+23= -5x-12+23

5.Simplify

-2x= -5x+11

6.Add 5x to both sides of the equation

-2x+5x=-5x+11+5x

7.Simplify

3x=11

8.Divide both sides of the equation by the same factor

[tex]\frac{3x}{3}[/tex] = [tex]\frac{11}{3}[/tex]

9.Simplify and Solution

x= [tex]\frac{11}{3}[/tex]

First, add up the two numbers in the ratio => 4+1, which gives us 5.

Now,

4/5×20 => 16

1/5×20 =>4

So, the required answer is 16:4.

Hope it helps!

The solution of dividing 20 in the ratio of 4:1 gives us 16:4.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We are given that the ratio of 4:1

First, we have to add up the two numbers in the ratio

4+1, which gives us 5.

Now,

4/5×20 = 16

1/5×20 = 4

Therefore, the required answer is 16:4.

Learn more about the ratio here:

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Answer:

120

Step-by-step explanation:

x=120 because 120/-6 is -20