Please help!!! Rachael deposits $1,500 into a retirement fund each year. The fund earns 8.2% annual interest, compounded monthly. If she opened her account when she was 19 years old, how much will she have by the time she is 55? How much of that amount will be interest earned?

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]

                                              = 10.77

Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]

                                                = 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

Answer:

56

Step-by-step explanation:

Answer:

A) Factor

Step-by-step explanation:

The correct choice for the missing reason is,

⇒ Factor

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The steps for deriving the Quadratic Formula are shown.

Now, From fifth step;

⇒ x² + bx/a + b²/4a² + ----- - c/a + b² / 4a²

Hence, By factor we get;

⇒ (x + b/2a) (x + b/2a) +   ------ - c/a + b² / 4a²

So, The correct choice for the missing reason is,

⇒ Factor

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ2

Answer:

I think that the answer would be C .

hope it was helpful :)

Answer:

First time=7hours

First speed=990km/hour

First distance=first time×first speedD=(

S×T)

D=990km/hr×7hrs

D=6930km.

Second time=6&14min.

Second speed=920km/hr

Second distance=second speed×second time (D=s×t)

D=920km/hr×6&14min.

D=1500

Total distance=6930+1500

=8430

Answer:

$31.491

Step-by-step explanation:

Price of the book=$34.99

Sale given=10%

Price of the book after sale=34.99-{(10/100)*34.99}

=34.99-3.499

=34.990-3.499

=$31.491

Answer:

Total Depth: 64.28m

Step-by-step explanation:

Assuming that the submarine is travelling at a constant rate, then we can use the information provided and apply a Rule of Three since it is basically a ratio problem. In this rule, you simply need to multiply the diagonal values of the ratio and divide by the last value to get the variable, which would be the depth after 110m

70min  <=======>  25 m

110min  <=======>  x m

(110 * 25) / 70 = x

2750 / 70 = x

39.28 = x

We can see that at 110min the depth would be 39.28 m but since this is an additional period of time that the submarine travelled we need to add this distance to the initial 25 m to get the total depth of the submarine.

39.28m + 25m = 64.28m

Answer:

7,7,15

Step-by-step explanation:

Because the summation of two sides should be greater than the other one

Answer:

4   5

8    10

24     30

Step-by-step explanation:

5x+ 3x +4x =12x

12x =240

X=20

100:60:80

Answer:

[tex]\Huge\boxed{1607.7in^3}[/tex]

Step-by-step explanation:

Hello There

The volume of a cylinder can be found using this formula

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

The cylinder shown has a radius of 8 inches and a height of 8 inches

Knowing this information we plug it in into the formula

[tex]V=\pi 8^28\\8^2=64\\64*8=512\\512\pi=1607.68[/tex]

Finally we round to the nearest tenth and get that the volume of the cylinder is 1607.7 in ^3

Answer:

A

Step-by-step explanation:

you need find the smaller numbers of 10 which would be in answer A. all the other answers are bigger than 10

Answer:

11.33

Step-by-step explanation:

um I'm not that good at explaining but...

33/3=11

99/3=33

put it together

11.33

9514 1404 393

Answer:

  76.5 units

Step-by-step explanation:

This is an interesting question. The side lengths are proportional to the sine of the opposite angle. So, we can find a scale factor for the given length by adding the sines of the angles and dividing by the sine of the angle opposite the given side.

The three angles are ...

  43°, 63° and 74° (the supplement of the sum of the other two)

So, the scale factor mentioned above is ...

  (sin(43°) +sin(63°) +sin(74°))/sin(74°) ≈ 2.636396

Then the perimeter of the triangle is ...

  (2.636396)(29) ≈ 76.5 . . . units

Answer:

2/12 or 1/6

Step-by-step explanation:

12 games total

they have 2 games that are there favorite

Answer:

B

Step-by-step explanation:

Because i said it is

Answer:

The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F

The answer for B is "F  and C are 5 units away from the x-axis

The answer for C is "The distance between F and C is 10 units"

Step-by-step explanation:

Answer:

42 ft 2 is the closest answer I got

Answer:

2,2   2,7   5,7

Step-by-step explanation:

Answer:

what is your problem?    

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

025

18 |450

- 36

090

- 90

00

Answer:

3 feet

Step-by-step explanation:

If the length is 4 feet, there are two lengths so you get 8

14-8= 6

Because there are two widths, you do 6 divided 2 and you get 3 feet

Answer:

[tex]E(x) = \frac{1}{2}[/tex] -- Component A

[tex]E(x) = \frac{1}{3}[/tex] -- Component B

Step-by-step explanation:

Given

Distribution = Exponential

[tex]\lambda = 2[/tex] --- Component A

[tex]\lambda = 3[/tex] --- Component B

Solving (a): The mean time of A

The mean of an exponential distribution is:

[tex]E(x) = \frac{1}{\lambda}[/tex]

We have:

[tex]\lambda = 2[/tex] --- Component A

[tex]E(x) = \frac{1}{2}[/tex]

Solving (b): The mean time of B

The mean of an exponential distribution is:

[tex]E(x) = \frac{1}{\lambda}[/tex]

We have:

[tex]\lambda = 3[/tex] --- Component B

[tex]E(x) = \frac{1}{3}[/tex]

Answer:

distance between these point is 8

Step-by-step explanation:

d=

[tex] \sqrt{( 3- - 5) ^{2} + (3 - 3)^{2}} [/tex]

Answer:

8 is the distance between them

FYI distance formula is the square root of (x2 -x1)^2 = (y2- y1)^2

Step-by-step explanation:

Answer:

My answer may be wrong, but from what I did I think its B

Step-by-step explanation:

Answer:

fifteen percent xx

Step-by-step explanation:

Answer:

haach f,f msfmavfb

Step-by-step explanation:

Answer:

1/4 chance or 0.25 or 25%

Step-by-step explanation:

One forth of cards in a deck are spades

Answer:

1/4

Step-by-step explanation:

In a deck of cards, there are 52 cards (not including jokers)

and there are 13 cards that are spades, so it's simply just 13/52 which simplifies to 1/4

Answer:

Step-by-step explanation:

There are

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