The amount of money in a bank account increased by 15.8% over the last year. If the amount of money at the beginning of the year is represented by n, which expression represents the amount of money in the bank account after the increase?

Answer:

1,2, and 4 are the correct answers

Step-by-step explanation:

Answer:

1. The sides that were parallel in the pre-image are parallel in the image.

2. The angle measures of ABCD are equal to the corresponding angle measures of A’B’C’D’.

4. The segments connecting the center of rotation to the corresponding vertices create a 270° angle.

Step-by-step explanation:

Edge 2021

The ratio is equivalent to 3:18 is 7:42.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Ratio = 3:18

         = 1: 6

1. 6:21

= 3:7

2. 5:20

= 1:4

3. 7:42

= 1:6

4. 12:2

= 6:1

Hence, the ratio is equivalent to 3:18 is 7:42.

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9514 1404 393

Answer:

Step-by-step explanation:

The Pythagorean theorem (see Hint) tells you the length of the hypotenuse (c) is ...

  c² = 1² + 1² = 2

  c = √2 ≈ 1.4142136 . . . units

The estimated value of the length of the hypotenuse is 1.41 units.

__

Of course the shaded square will have an area that is the square of that value:

  area = s² ≈ 1.41² ≈ 1.99 . . . . . rounded to hundredths

The estimated area of the square is 1.99 square units.

__

Additional comment

Of course, we don't have to estimate. We can use the exact value of the side length to determine the shaded square has an area of ...

  area = s² = (√2)² = 2 . . . . exactly

We can also get there by recognizing that the lengths of 1 represent half the length of each of the diagonals of the square. That is, the square's diagonals are both of length 2. The area is half their product, so is (1/2)(2·2) = 2 square units.

Answer:

4

Step-by-step explanation:

b+12 =16

-12. -12

b = 4

hope this helps

Answer:

2.3 and put a line on top of 3

Step-by-step explanation:

Answer:2.3

Step-by-step explanation:

Answer:

A: 907-789=p

B: 118 bought tickets but didn't go.

Step-by-step explanation:

907 is the people that bought the tickets, you subtract the people that did go which is 789 which would give you the people that didn't go but still bought tickets.

Answer:

4

Step-by-step explanation:

kdgbqpiwbgpiqbg

Answer:

Infinitely many

Step-by-step explanation:

Equation: 5x + 3(x - 1) = 10x - 2x - 3

1) 5x + 3x - 3 = 10x - 2x - 3

2) 8x - 3 = 8x - 3

3)  8x = 8x

4) x = x

Based on this information, it seems that the best answer would be infinitely many solutions.

Answer:

15/2

Step-by-step explanation:

5 3/4 - 1/6x = 4 1/2

move the variable to it's own side.

5 3/4 - 4 1/2 = 1/6x

change the subtracting side to have common denominators

5 3/4 - 4 2/4 = 1/6x

1 1/4 = 1/6 x

divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)

30/4 = x

reduce: 15/2 = x

The value of x should be 15/2.

Since

5 3/4 - 1/6x = 4 1/2

So, it can be like

5 3/4 - 4 1/2 = 1/6x

Now

5 3/4 - 4 2/4 = 1/6x

1 1/4 = 1/6 x

Now we have to divide both sides by 1/6

So,

30/4 = x

x = 15/2

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Answer:

flooring crew > plumbers > paint crew > electricians

Step-by-step explanation:

when you turn all of the numbers into percentages, you get:

paint crew: 1/7 = 14%

plumbers: 0.15 = 15%

flooring crew: 1/6 = 16%

electricians = 12% (given)

Answer:$21,662

Step-by-step explanation:

$8,210+ $9,195 -$39,097=$21,662

Answer:

d. 540 deg

Step-by-step explanation:

2 pi radians = 360 deg

(360 deg)/(2pi rad) = 1

3 pi * (360 deg)/(2 pi rad) = 3 * 180 deg = 540 deg

Answer:

The answer is 8.5

Step-by-step explanation:

[tex]x = 17 \sin(30) \\ = 17 \times \frac{1}{2} \\ = 8.5[/tex]

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Answer:

(-3)^2

Step-by-step explanation:

You add 7 on both sides, giving you x^2 - 6x = 7

Then, take half of b, and square it. Giving you x^2 - 6x +(-3)^2 = 7

The answer will be (-3)^2 for this question, but this is not the full solution.

Hope this helped. Good luck on the rest!

Answer:

D

Step-by-step explanation:

because the liter things measure liquids and the gram one measures mass

Answer:

centimeter (cm)

Step-by-step explanation:

centimeters are the only measurement out of the answer choices that measures length. Milligrams are a measure of weight, and liters and milliliters both measure volume of a liquid.

Question 1)

The expression:

11 more than one third of a number

Lets split this is up into parts to make it easier

"11", "more", "one third", "of a", "number"

Lets form the expression for each part,

"11" = 11

"more" = +

"one third" = 1/3

"of a" = *

"number" = n

That forms

11 + (1/3) * n or (1/3) * n + 11

Therefore the answer is D) (1/3)n + 11

Question 2)

Equation,

[tex]\frac{6+5*3}{2+1} = 11[/tex]

Left Hand Side

=[tex]\frac{6 + 15}{3}[/tex]                      (multiplication is first then addition)

=[tex]\frac{21}{3}[/tex]

= 7

7  [tex]\neq[/tex] 11

So, Left Hand Side [tex]\neq[/tex] Right Hand Side

Therefore the answer is false

Answer:

40 square units

Step-by-step explanation:

Area of triangle = 1/2×b×h

= 1/2×10×8

= 40 square units

20%=20\100

20\100×3500

=700

Answer:

Step-by-step explanation:

a) Let's [tex]x[/tex] the length of the side of the small square.

Thus,

[tex]x^{2} + (\sqrt{40})^2 = (\sqrt{50})^2[/tex]

[tex]x^{2} + 40 = 50[/tex]

[tex]x^{2} = 50 - 40[/tex]

[tex]x^{2} = 10[/tex]

[tex]x = \sqrt{10}[/tex]

[tex]x=3.16[/tex]

b) Now, the area of the small square is

[tex]A= x^{2}[/tex]

[tex]A=(3.16)^2[/tex]

[tex]A=9.99[/tex]

Answer:

z = 0.03

Step-by-step explanation:

0.3 z ÷  0.3 = 0.009 ÷ 0.3

z = 0.009 ÷ 0.3

alterinate form z 3/100, z = 3 x 10^-2

Answer:

The rate of change is -300 meters per minute

Step-by-step explanation:

Here, we want to get the rate of change for the given situation

Firstly, we will need to collate the points

Let us have the points as:

(time, height)

The points are;

(10,4500) and (15,3000)

The formula for the slope m representing the average rate of change is;

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

m = (3000-4500)/(15-10) = -1500/5 = -300 meters/minutes

Answer:

The answer is "[tex]240 \ m^2[/tex]"

Step-by-step explanation:

please find the given diagram image file in the attachment.

In this question, the surface area model includes two things that are square pyramid is equal to the area of the square base and the area of the flour lateral triangle:

[tex]SA= 10\times 10 +4 (\frac{1}{2}\times (10) \times (7))\\\\[/tex]

     [tex]= 100 +4 (\frac{1}{2} \times 70)\\\\= 100 +4 (35)\\\\= 100 +140\\\\=240 \m^2\\\\[/tex]

The surface area of the model is [tex]240 \ m^2[/tex].

Answer: I’m pretty sure it’s y=1/x+5 +2

Step-by-step explanation:

The graph of Function  [tex]y = \frac{1}{x-5}+2[/tex] is same as the graph of [tex]y = \frac{1}{x}[/tex]

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner."

"Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."

We have

[tex]y = \frac{1}{x}[/tex]

The function is shifted 5 units right

⇒[tex]y = \frac{1}{x-5}[/tex]

The function is shifted 2 units up

⇒[tex]y = \frac{1}{x-5}+2[/tex]

Hence, function becomes  [tex]y = \frac{1}{x-5}+2[/tex]

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Answer:

AB ≈ 1095 yards

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AB² + BS² = AS²

AB² + 1300² = 1700²

AB² + 1690000 = 2890000 ( subtract 1690000 from both sides )

AB² = 1200000 ( take the square root of both sides )

AB = [tex]\sqrt{1200000}[/tex] ≈ 1095 yd ( to the nearest yard )

Answer:

6x - 2 - 3x + 4

I think that would be it. I just multiplyed 2 by 3 and then 2 by - 1.

Edit:

The true answer would be 3x+2

Answer:

22.1

Step-by-step explanation:

77.35÷3.5=22.1

Have a wonderful day!

Answer:

her

Step-by-step explanation: