Two lines are intersecting. What is the value of x?

Answer:

$178,000

Step-by-step explanation:

The calculation of X and Y is shown below:-

Before that we need to do the following calculations

[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]

[tex]= 0.45\times\$400,000[/tex]

= $180,000

[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]

[tex]= 0.06\times\$400,000[/tex]

= $24,000

Now, Operating cash flow of X in Year 1

[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]

[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]

= $38,000 + $90,000

= $128,000

and Operating cash flow of Y in Year 4

[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]

[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]

= $38,000 + $12,000

= $50,000

[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]

= $128,000 + $50,000

= $178,000

hence, the X + Y is $178,000

Answer:

Step-by-step explanation:

A: if both 6 and 3 are red then the probability for a red is 2/6 or 1/3, if only 3 or 6 is a red then it is 1/6

B: spinning a 1 is 1/6 probability

C: spinning an odd number is 3/6 or 1/2 as half of the numbers are odd

D: 0 probability as there are no 9

Answer:

C (46)

Step-by-step explanation:

Triangle PAO is congruent to Triangle PBO by Hypotenuse-Leg (I'm assuming you learned this already if you have this question let me know if you haven't).  OA and OB are both radius of circle O, making them congruent because all radii are congruent.  Also PO is congruent to PO by reflexive.  

Angle AOC is the same thing is Angle AOP.  Angle POB is congruent to Angle AOP by CPCTC (Congruent Parts of Congruent Triangles are Congruent).  Therefore, Angle POB is 46 degrees.

Answer:

P = 72 mm

Step-by-step explanation:

Since all the angles are equal, this triangle is an equilateral triangle.

That means all the sides are equal.

All sides have length 24

P = 24+24+24

P = 72 mm

Answer:

C

Step-by-step explanation:

Answer:

210 cm^2

Step-by-step explanation:

3x-1 + 4x+1 + 3x = 70

10x = 70

x = 7

Now, Area of the triangle is 1/2 * b * h

therefore,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210

210 is the area!

Hope this helps! mark as brainliest if helped! thanks!

210 cm^2

3x-1 + 4x+1 + 3x = 70

Simplify  

10x = 70

divide by 10

x = 7

So,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210 would be your final answer

Step-by-step explanation:

Answer:

The answer is Graph III.

Step-by-step explanation:

Given that the linear equation is y = mx + c where m represents gradient and c is y-intercept.So firstly, we have to make y the subject :

[tex]3x - 36 + 2y = 0[/tex]

[tex]2y = - 3x + 36[/tex]

[tex]y = - \frac{3}{2} x + 18[/tex]

Next, by looking at the graph, we know that the line has a negative gradient and touches y-axis at 18 which suits the equation.

Answer: B (15 to 42)

Step-by-step explanation:

In order to get from 14 to 42, you must multiply by 3 (42/14 = 3). So to get an equivalent ratio, you must also multiply 5 by 3.

5:14 = 5*3:14*3 = 15:42 (B).

Answer:

15 to 42.-B

Step-by-step explanation:

5 tablets for every 14 days

X3

15 tablets every 42 days

Answer:

c

Step-by-step explanation:

Answer:

A - ( 2, - 4 )

Step-by-step explanation:

M, N , O is reflected at the points (-2,2) - O (-5,3) - M (-2,4) - N, and the triangle MNO is rotated 180 degrees around the origin , Down once because the triangle is being rotated around the origin and then right which would be the answer A. Hope this Helps : )

Answer:

1- 4/6 = 2/6 or 1/3.

Answer:

1/3

Step-by-step explanation:

1 - 4/6

Replace 1 with 6/6

6/6 - 4/6

2/6

Divide the top and bottom by 2

1/3

Answer:

[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]

[tex]=(0.5091,0.6001)[/tex]

Lower limit for confidence interval=0.5091

Upper limit for confidence interval=0.6001

Step-by-step explanation:

We have given,              

x=254          

n=458          

Estimate for sample proportion= [tex]\bar p = 0.5546[/tex]

Level of significance is =1-0.95=0.05      

Z critical value(using Z table)=1.96      

Confidence interval formula is

[tex]\hat p \pm Z*\sqrt{\frac{\hat p\times(1-\hat p)}{n} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(1-0.5546)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.5546\times(0.4454)}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{\frac{0.2470}{458} }[/tex]

[tex]=0.5546\pm1.96*\sqrt{0.00053934}[/tex]

[tex]=(0.5091,0.6001)[/tex]

Lower limit for confidence interval=0.5091

Upper limit for confidence interval=0.6001

Answer: D. They are both congruent

Step-by-step explanation:

The only difference in the two shapes is the locations. One shape is located in the 4th (-x, +y) quadrant, while the other shape is located in the 2nd quadrant (+x, -y)

They two shapes are the same size with the same area, so they are both congruent.

Answer:

The answer on Imagine Math is...

-They are congruent

Step-by-step explanation:

I got the answer right on Imagine Math. Hope my answer can help those who need it. God bless you all!!

Answer:

B.

An investment account has the potential to earn more money than a savings account.

Answer:

B. An investment account has the potential to earn more money than a savings account.

Step-by-step explanation:

Neither saving nor investing is better than the other, choosing depends on your present financial position.

Answer:

ARE is congruent to ARC

By rule SSS

Step-by-step explanation:

Welp that's just the answer.

Hope this helps

Answer: x > 20

Step-by-step explanation:

x + 10 > 30

    -10     -10

x > 20

Answer:

x-3

Step-by-step explanation:

x+7-7>10-7

subtract 7 from both sides

Answer:

(x - 4) (x - 5)

Step-by-step explanation:

Factor the following:

x^2 - 9 x + 20

The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):

Answer: (x - 4) (x - 5)

Considering the equation for the volume of a cylinder, it is found that the correct statement is:

A. The volume of cylinder X is less than the volume of cylinder Y.

The volume of a cylinder of radius r and height h is given by:

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

In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.

More can be learned about the volume of a cylinder at https://brainly.com/question/9408912

Answer:

It is answer B

Step-by-step explanation:

this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.

Answer:

A: 10.8

Step-by-step explanation:

AD = BC

AB = DC

2AD + 2AB

AD = ±[tex]\sqrt{3^2+1^2}[/tex] ≈ ±3.1622

AD ≈ 3.1622

AB = ±[tex]\sqrt{2^2+1^2}[/tex] ≈ ±2.236

AB ≈ 2.236

2AD + 2AB = 2*3.1622 + 2*2.236 ≈ 10.79 ≈ 10.8

Answer:(B)

Step-by-step explanation:

so the Movie is 20$ and the games are 50$ you can buy 2 games because 50+50=100 and 500-100=400.Next,the Movie is 20$ so you can do 400/2=20 and thats your answer because youy cant use no more money in the card.

Answer:

The answer is A (25, 0)

Step-by-step explanation:.

The question mentions "purchasing the most items" which means we want as many items as possible. Usually the question would imply how much of BOTH you can get for that price, but it is being specific to amount for that price.

Answer:

FG-220.2 feet

Step-by-step explanation:

The base of the triangle is FH

The perpendicular of the triangle GH=57 feet

The hypotenuse of the triangle is FG

We know that

sin∠F=Perpendicular/Hypotenuse

Hypotenuse= Perpendicular/sin∠F

Hypotenuse= 57/sin∠15

Hypotenuse=220.23109

Round of to nearest tenth

Hypotenuse=220.2 feet

Answer:

6

Step-by-step explanation:

3 divided by 1/2 is equal to 6

Answer:

6 bananas are in 3 pounds.

Step-by-step explanation:

Each banana is 0.5 pound, and keep adding more bananas until you reach 3 pounds.

Answer:

Zero

Step-by-step explanation:

Option C is correct, there are Infinitely many solutions are there to the system of equations.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The two lines are parallel, they have the same slope, which means that m is the same for both equations.

Therefore, the system of equations can be simplified to:

y = mx + b₁

y = mx + b₂

Subtracting the two equations, we get:

0 = b₁ - b₂

This means that the y-intercepts of the two lines are equal.

The two lines coincide with each other, and there are infinitely many solutions to the system of equations.

Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ7

Answer:

a) The modal average is 3 bedrooms

b) The mean number of bedrooms is 2.825, or 3 rounded.

Step-by-step explanation:

If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.

For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.

Answer:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Answer:

It's C.

Step-by-step explanation:

I took the test

Answer:

Step 1

Step-by-step explanation:

he added 4 to the other side instead of taking away 4

Answer:

step 1

Step-by-step explanation: