Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How much will Option 2 be worth after 20 years?


A.

$6727.50


B.

$3000.00


C.

$7400.25


D.

$5604.41

Answer:

23x + 9

 ———————

    9  

Answer:

87.5

Step-by-step explanation:

2.5 multiple by 8(number of hours) gives 20 dollars

Then 13.5 multiple by 5(number of pools cleaned) gives 67.5

The sum of both is 87.5 dollars

Answer:

The value of [tex](-25)^{\frac{1}{2} }=5i[/tex]

Step-by-step explanation:

We need to find [tex](-25)^{\frac{1}{2} }[/tex]

We have

[tex](-25)^{\frac{1}{2} }=\sqrt{-25} \\\\=\sqrt{25} \times\sqrt{-1} \\\\=5 i[/tex]

Answer:

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal  

Therefore angles BGH and DHG are consecutive interior angles  

As we know the sum of consecutive interior angles equals to 180°:  

∠BGH + ∠DHG = 180°

Line GP bisects angle BGH , therefore  

m∠PGH = 1/2*m∠BGH

Line HP bisects angle GHD, therefore  

m∠PHG = 1/2*m∠GHD

Sum of two angles of triangle GHP:  

m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°

Therefore the missing angle a is:  

∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°

Answer:

  17.  D

  18.  C

Step-by-step explanation:

For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.

The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.

As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:

  D.  Y'(11, -8)

__

Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.

  R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)

  R' = (-2/3, 1) . . . . . matches choice C

Answer:

B and C

Step-by-step explanation:

[tex]2(b+3c) =(b+3c)+(b+3c) = 2b +2(3c)[/tex]

Answer:

the answer should be C

Step-by-step explanation:

Hope this helps!

Answer:

-5,2

Step-by-step explanation:

it literally represents LM and Shows it on the graph

The school band could have a profit of $ 60 for selling 30 T-Shirts.

For the sale of each T-shirt the school band have a net profit of $ 6, of which $ 4 are discounted by concept of flyers and, thus, this band has a final profit of $ 2 for the sale of a T-shirt. The total profit for T-shirt sales equals the product of number of T-shirts sold and the final profit for each T-shirt sold.

Hence, the profit for selling 30 T-shirts is shown below:

[tex]C = (\$\,2)\cdot (30)[/tex]

[tex]C = \$\,60[/tex]

The school band could have a profit of $ 60 for selling 30 T-Shirts.

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Step-by-step explanation:

Y - 5 1/2 = 3 1/3

Y = 3 1/3 + 5 1/2

Y = 8.83

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

The two sides opposite the angles marked as equal are themselves equal

4x + 8 = 48 - x                 Add x to both sides

4x + x + 8 = 48                Combine

5x + 8 = 48                      Subtract 8 from both sides.

5x + 8 - 8 = 48 - 8           Combine

5x = 40                            Divide by 5

5x/5 = 40/5

x = 8

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

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Step-by-step explanation:

A

the answers are already right in picture. we only need to count.

maybe the problem is understanding a cube ? when it says here "the edge of each cube is 1 1/2 in long", then it means that every side length of a cube is the same (length, width, height). it is the principle of a 2-dimensional square in 3 dimensions.

and "prism" is simply another word for "box".

so, we see that there are 5 cubes fitting along the length of the prism.

so, the length of the prism is

5× 1 1/2 in = 5× 3/2 = 15/2 = 7 1/2 in.

3 cubes are the width of the prism.

so, the width of the prism is

3× 1 1/2 in = 3× 3/2 = 9/2 = 4 1/2 in.

B

we know the height of the prism is 3/4 ft.

1 ft = 12 in

3/4 ft = 3/4 × 12 = (3×12)/4 = 36/4 = 9 in

how many layers of cubes fit into 9 in ?

well, that is what we use division for :

9 ÷ 1 1/2

this is the same as

9 / 3/2 = (9/1) / (3/2)

to divide by a fraction is the same as to multiply with the upside-down fraction. therefore :

(9/1) × (2/3) = (9×2) / (1×3) = 18/3 = 6

so, 6 layers of the cubes fit into the prism.

Answer:

It would be y=0.5x+1

Step-by-step explanation:

1/2 is the x which is the slope and it starts at 1 so that is the the y-intercept

Answer:

Try -4

Sorry if it's incorrect.

Step-by-step explanation:

Answer:

  [3, -1]

Step-by-step explanation:

The computation is performed element by element, as you appear to have figured.

  2f -g = 2[4, 1] -[5, 3] = [2·4 -5, 2·1 -3] = [8-5, 2-3]

  2f -g = [3, -1]

Answer:

The awnser in the first option. A

Based on the information given, it should be noted that the area of the pages will be 112cm².

Since the perimeter is given as 44cm, the dimensions of the pages will be 8cm and 14cm.

Therefore, the area of the pages will be calculated thus:

= Length × Width

= 8cm × 14cm

= 112cm²

Therefore, it can be concluded that the area of the pages will be 112cm².

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Answer:

(3,6)

Step-by-step explanation:

y = 2x

x+y = 9

; x+(2x) = 9

3x = 9

x = 3

y = 2x

y = 2(3)

y = 6

Hello there here is the problem you gave us

[tex]y=2x,x+y=9[/tex]

You want to us to solve this by substitution,

_______________________

_______________________

we can substitute [tex]y[/tex] for [tex]2x[/tex] and get the equation

[tex]x+2x=9[/tex], do the simple algebra and we get that [tex]x=3[/tex], remember though [tex]y=2x[/tex], plug in the value that [tex]x=3[/tex] and get that [tex]y=6[/tex]

_______________________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

Answer:

365 days in a year

Step-by-step explanation:

Look at a calendar

Answer:

Three hundred and sixty-five

Step-by-step explanation:

We know this because it takes exactly 1 year (365 days) to make one rotation around the sun. But we see the sun every day because the earth is on a sort of axis that it rotates on so when one-half of the earth does not see the sun the other half does due to this axis.

Answer:  A

Step-by-step explanation:

The solution to the inequality is x <= -5 and x>=-3 so A is correct

Answer:

>

Step-by-step explanation:

> means greater than and because 79 is greater than -5, the correct sign you would use will be >

79 > -5

Answer:

Step-by-step explanation:

yasss its C

Answer:

1270

Step-by-step explanation:

420+300+550

$420+300=720+550=1270

The cash payment for the article is RS. 2,260.

A discount reduces the price of an item. The article becomes cheaper after the discount.

Cost of the article after the RS. 20 discount = RS. 2020 - 20 = RS 2000

VAT means value added tax. VAT increases the price of an item. The cost of the article increases by 13% after the  VAT is levied,

Cost of the article = (100 + 13%) x 2000

1.13 x 2000 = RS 2,260.

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The number of kilometers she will have left to run to finish the race is 0.9 km.

Given the following data:

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

[tex]Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}[/tex]

Distance = 12.6 meters.

For the distance left:

[tex]Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6[/tex]

Distance left = 0.9 km.

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