In the Rhombus, m<3=80. Find m<2

160
80
50
40

In The Rhombus, M&lt;3=80. Find M&lt;2160805040

Answers

Answer 1
Answer: C. 50

==============================================

Explanation:

The diagonal cuts the rhombus into two congruent isosceles triangles. We know they are isosceles because the non-diagonal sides are equal in length (since all four sides of a rhombus are the same length).

Let x be the measure of angle 1. This is one base angle. The other base angle is also x as well. The third angle of the bottom triangle is angle 3, which is given to us at 80 degrees. For any triangle the three angles always add to 180.

x+x+80 = 180

2x+80 = 180

2x = 180-80

2x = 100

x = 100/2

x = 50

Angle 1 is therefore 50 degrees.

Angle 2 is also 50 degrees because angles 1 and 2 are congruent alternate interior angles. Any rhombus is a parallelogram (but not the other way around) so the top and bottom lines of the rhombus are parallel, allowing the alternate interior angles to be congruent.

Answer 2

Answer:

m<2 = m<1 = 50°

Step-by-step explanation:

In a Rhombus, Diagonals intersect at 90° as well bisect angles.

Therefore, in a triangle formed by <1, 90° at the diagonal intersection and angle bisection of <3 = 40°.

m<1 = m<2 = 50°


Related Questions

Please answer this question now

Answers

Answer:

200 cm³ is the volume of the pyramid

Answer:

200 cubic centimeters

Step-by-step explanation:

l = length = 10 cm

w = width = 10 cm

h = height = 6cm

V = lwh / 3

= 10 * 10 * 6 / 3

= 100 * 6 / 3

= 600 /3

= 200 cubic cm

Hope this helps! Tell me if I am incorrect!

help me asap you guys i need help

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{C}[/tex]

To simplify the process, convert each given weight into standard notation:

Lion:

[tex]1 * 10^{5} = 1 * 100000 = 100,000 g[/tex]

Ant:

[tex]2 * 10^{-3} = 2* 0.001 = 0.002[/tex]

Divide the ant's weight from the lion's weight:

[tex]100000 / 0.002 = 50,000,000[/tex]

Convert to scientific notation: (use # of zeros to determine exponent)

[tex]50,000,000 = 5 * 10^{7}[/tex]

Therefore, the correct answer is C.

What is the distance between the two points in simplest radical from? P(2,8) and B(1,3)

Answers

Answer:

√26

Step-by-step explanation:

[tex]P(2,8) \: , B(1,3)\\x_1=2\\y_1=8\\x_2 =1\\y_2 =3\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ d = \sqrt{(1-2)^2+(3-8)^2} \\\\d = \sqrt{(-1)^2+(-5)^2}\\\\ d = \sqrt{1+25}\\\\ d = \sqrt{26}[/tex]

A holiday company charters an aircraft to fly to Malta at
a cost of $22 000. It then sells 150 seats at $185 each and a
futher 35 seats at a 20% discount. Calculate the profit made
per seat if the plane has 200 seats.

Answers

Answer:

$54.65 profit per seat

Step-by-step explanation:

150(185) + 35(185)(.8) = 27,750 + 5,180 = 32,930 - 22,000 = 10,930

10,930/200 = $54.65 profit per seat

Answer:

$54.65

Step-by-step explanation:

First, we find the total amount made. This is easy:

(150 x 185) + (35 x .8(185)) =

27750 + 5180 =

32930

We then subtract the $22000, so the company makes a profit of 10930. There are 200 seats, so the profit made per seat is $54.65


A shipping company borrows $70 million at 5% p.a. compound interest to build a new cruise ship. If it repays the debt after 3 years, how much interest will the company pay?

Answers

Answer:

about 11.03 million

Step-by-step explanation:

Use the equation I = P(1+r/100)^n - P (I is the compound interest, P is the principle, r is the rate percent, and n is the number of years):

Substitute the values given:

I = 70,000,000(1 + 5/100)^3 - 70,000,000

Use a calculator to solve and you will get ~11.03 million.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

The interest the company paid is $11 million.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $70 million

r = 5%

t = 3 years

n = 1

A = 70 ( 1 + 0.05)³

A = 70 ( 1.05)³

A = 70 x 1.05 x 1.05 x 1.05

A = $81 million

The amount of interest.

= A - P

= 81 - 70

= $11 million

Thus,.

The interest the company paid is $11 million.

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Write a verbal expression for 5x cubed + 2

Answers

Answer:

2 added to cube of 5 times x

Step-by-step explanation:

Answer:

2 plus cube 5 times.

cube = (³).

times = (multiplying).

20 PTS PLEASE HELP!!!!

Select the correct answer from each drop-down menu.

The function below describes the number of students who enrolled at a university, where f(t) represents the number of students and t represents the time in years.


Initially, (1.03, 3, 19,055, 18,500) students enroll at the university. Every,(1years, t years, 2years, 3years) the number of students who enroll at the university increases by a factor of (1.03, 3, 19,055, 18,500).

Answers

Answer:

Initially 18,500 students

Every 1 year

increase by a factor 1.03

Step-by-step explanation:

The missing information is selected from the given options from the drop down menu. The correct answers are : Initially 18,500 students enroll at the university. Every 1 years the number of students who enroll at the university increases by a factor 1.03.

F(t) = 18,500 * (1.03)^t

Ken said that he is going to reduce the number of calories that he eats during the day. Ken's trainer asked him to start off small and reduce the number of calories by no more than 7%.

Answers

Answer:

Ok, this question seems incomplete, so i will answer it in a general way.

Suppose that regularly, Ken eats A calories during the day. (A is a positive number)

Now, Ken wants to reduce this number, but his nutritionist tells him to reduce no more than 7% (So the max reduction possible is a reduction of the 7%).

So after the reduction, Ken eats C calories per day.

First, the maximum reduction that Ken can do is when he reduces exactly 7% of the calories.

So if he regularly consumes A calories, the reduction will be of

(7%/100%)*A = 0.07*A

So after the reduction, the amount of calories that he consumes per day is:

C = A - 0.07*A = A*(1 - 0.07) = A*0.93

But this is the minimum amount of calories that he can consume, the actual range of possible options will be:

A < C ≤ A*0.97.

C is strictly smaller than A because we must have a reduction in the number of calories.

Those values of C is all the posible amounts of calories that Ken eats per day after the initial reduction in the number of calories per day.

y is inversely proportional to x². When x=4, y=7.5 Find y when x=5 (i also forgot the symbol for directly and inversely proportional and i'm pretty sure there is one)

Answers

Answer:

y = 4.8

Step-by-step explanation:

Given that y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion

To find k use the condition when x = 4, y = 7.5 , then

7.5 = [tex]\frac{k}{4^2}[/tex] = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )

k = 16 × 7.5 = 120

y = [tex]\frac{120}{x^2}[/tex] ← equation of proportion

When x = 5 , then

y = [tex]\frac{120}{5^2}[/tex] = [tex]\frac{120}{25}[/tex] = 4.8

I answered all my work correctly but I don’t understand this one.

Answers

Take your x values in each coordinate and subtract 2, and take your y values and subtract 1.

Q (0-2), (-1-1)
= (-2,-2)

D (-2-2), (2-1)
= (-4, 1)

V (2-2), (4-1)
= (0,3)

J (3-2), (0-1)
= (1,-1)

You can also draw it on a graph and then translate all coordinates 2 units left and 1 down to see the end results.

"One month Sam rented 12 movies and 2 video games for a total of $41. The next month he rented 3 movies and 5 video games for a total of $35 . Find the rental cost for each movie and each video game."

Answers

Answer:

Movies cost $2.50 and video games cost $5.50

Step-by-step explanation:

Let the rental cost of movies be x and the rental cost of video games y

12x + 2y = 41

3x + 5y = 35

Solve by substitution

Answer:

Movie price: $2.5

Video game price: $5.5

Step-by-step explanation:

First month

12 movies ([tex]m[/tex]);

2 video games ([tex]v[/tex]);

Cost: $41

Second month

3 movies ([tex]m[/tex]);

5 video games ([tex]v[/tex]);

Cost: $35

[tex]$\left \{ {{12m+2v=41} \atop {3m+5v=35}} \right.$[/tex]

[tex]$\left \{ {{12m+2v=41} \atop {3(-4)m+5(-4)v=(-4)35}} \right.$[/tex]

[tex]$\left \{ {{12m+2v=41} \atop {-12m+-20v=-140}} \right.$[/tex]

[tex]-18v=-99[/tex]

[tex]v=5.5[/tex]

[tex]12m+2(5.5)=41[/tex]

[tex]12m+11=41[/tex]

[tex]12m=30[/tex]

[tex]m=2.5[/tex]


Function g can be thought of as a scaled version of f(x)=|x| what is the equation for g(x)?

Answers

Answer:

A

Step-by-step explanation:

Khan academy

The equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Function g can be thought of as a scaled version of f(x)=|x|

The function f(x):

f(x) = |x|

The blue lines represent the function f(x)

First reflect the function f(x) around the x-axis

F(x) = -|x|

Multiply by the factor 4 to stretch the function:

g(x) = -4|x|

Thus, the equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

Learn more about the function here:

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1. 3x + 6y = 3 and 7x + 3y = 7
ons for bo​

Answers

Answer:

(1,0)

Step-by-step explanation:

3x + 6y = 3

7x + 3y = 7

Multiply the second equation by -2

-2( 7x + 3y = 7)

-14x -6y = -14

Add this to the first equation to eliminate y

3x + 6y = 3

-14x -6y = -14

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

-11 x = -11

Divide by -11

x = 1

Now find y

3x + 6y = 3

3 +6y = 3

Subtract 3 from each side

6y = 0

y =0

Answer:

x = 1

y = 0

Step-by-step explanation:

3x + 6y = 3

7x  + 3y = 7

=> 3y = 7 - 7x

=> y = -7/3x + 7/3

3x + 6(-7/3x + 7/3) = 3

=> 3x - 14x + 14 = 3

=> -11x = -11

=> -x = -11/11

=> -x = -1

=> x = 1

So, 3(1) + 6y = 3

=> 3 + 6y = 3

=> 6y = 0

=> y = 0/6

=> y = 0

So, x = 1

      y = 0

Ron bought a cycle for $800 and sold it at a loss of $160. What is his selling price?

Answers

Answer:

640

Step-by-step explanation:

800-160=640...............................

Answer:

$800-$160

=$640

Hope it helps.

Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&5x-2+x&=x-4 \\\\ B.&&5x+x&=x-4 \end{aligned} A. B. ​ ​ 5x−2+x 5x+x ​ =x−4 =x−4 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract a quantity to/from only one side (Choice B) B Add/subtract the same quantity to/from both sides (Choice C) C Rewrite one side (or both) using the distributive property (Choice D) D Rewrite one side (or both) by combining like terms 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

Answer:

1) A. Add/subtract a quantity to/from only one side  

2) B. No

Step-by-step explanation:

Question (rewritten)

Answer two questions about Equations A and B:  

A. 5x-2+x = x-4   B. 5x+x = x-4  

1) How can we get Equation B from Equation A?

A. Add/subtract a quantity to/from only one side  B. Add/subtract the same quantity to/from both sides  C. Rewrite one side (or both) using the distributive property  D. Rewrite one side (or both) by combining like terms  

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?  

A. Yes  B. No

=================================

Solution

1) As we see left sides of the equations are different but right sides are same.

To make them equal we need to remove the difference.

Equation A. 5x -2 +x = x -4 Equation B. 5x + x = x- 4

We need to add 2 to the left side of equation A to get Equation B.

The answer choice for this case is:

A. Add/subtract a quantity to/from only one side  

2) Since the equations are not same, they will have different solutions.

Answer choice is:

B. No

Equivalent equations are equations that have the same value.

Add/subtract a quantity to/from only one side to get equation B from ABoth equations are not equivalent

The equations are given as:

[tex]A:\ 5x-2+x = x-4[/tex]

[tex]B: 5x+x = x-4[/tex]

(a) How to get equation (B) from (A)

By comparing equations (A) and (B), we have the following observations

The right-hand side of both equations are the sameThe difference between the left-hand side of the equations is -2.

This means that, only the left-hand side of equation A will be altered to get equation B.

Hence, the solution is:

A. Add/subtract a quantity to/from only one side

(b) Are they equivalent?

No, they are not.

This is so, because only one side of equation A is altered to get equation B.

Read more about equivalent equations at:

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photo of freedom fighter quotes on white sheet.



pls send me fast​

Answers

Answer:

Freedom is any case,

is only possible

by constantly

struggling for it.

Albert Einstein

What’s is the formula for the fill arithmetic sequence? -9,-2,5,12

Answers

Answer:

a +d = a2

Step-by-step explanation:

-2 - (-9) =

-2+9=7

a + d = a2

A number is more than half of another number by 4. The difference of these two numbers is 2. Find these numbers.​

Answers

Answer:

10,12

Step-by-step explanation:

let the two numbers be x and y

difference between x and y is 2

but y is ½x + 4

x -(½x+4) = 2

x - ½x - 4 = 2

½x = 6

x = 12

y = ½x + 4

y = 10

Use the trick of Gauss to add up consecutive integers from 111 to 200200200, that is, find the sum 1+2+3+…+199+200 .\qquad\qquad\qquad 1+2+3+\ldots+199+200\;.1+2+3+…+199+200.

Answers

Answer:

20100

Step-by-step explanation:

To find the sum of:

[tex]1 + 2 + 3+ 4+ ...... +200[/tex]

As per the trick of Gauss, let us divide the above terms in two halves.

[tex]1+2+3+4+\ldots+100[/tex] and

[tex]101+102+103+104+\ldots+200[/tex]

Let us re rewrite the above terms by reversing the second sequence of terms.

[tex]1+2+3+4+\ldots+100[/tex]  (it has 100 terms) and

[tex]200+199+198+197+\ldots+101[/tex] (It also has 100 terms)

Adding the corresponding terms (it will also contain 100 terms):

1 + 200 = 201

2 + 199 = 201

3 + 198 = 201

:

:

100 + 101 = 201

The number of terms in each sequence are 100.

So, we have to add 201 for 100 times to get the required sum.

Required sum = 201 + 201 + 201 + 201 + . . . + 201  (100 times)

Required sum = 100 [tex]\times[/tex] 201 = 20100

(b) In a group of 140 people, 74 like tea, 104 like milk and each person likes at least one of the two drinks.
How many people like both tea and milk?
(ii) How many people like tea only?
(iii) How many people like milk only?​

Answers

Answer:

How many people like both drinks?

To find the overlap, we can do (104 + 74) - 140 = 38.

How many people like tea only?

To find this, we can do 74 - 38 = 36.

How many people like milk only?

To find this, we can do 104 - 38 = 66.

Answer:

Step-by-step explanation:

A = Number of people who likes tea

B = Number of people who likes milk

Total people = n(A U B) = 140

(i) n(AUB) = n(A) + n(B) - n(A ∩B)

n(A∩B) = n(A) + n(B) - n(A ∪B)

n(A∩B)  = 74 + 104 - 140

             = 178 - 140

n(A∩B)  = 38

Number of people who likes both tea and milk = 38

(ii)Number of people who likes tea only = n(A) - n(A∩B)

                                                                  = 74 - 38

                                                                 = 36

(iii) Number of people who likes milk only = n(B) -n(A∩B)

                                                                     = 104 - 38

                                                                     = 66

solve 16y = 80
show work please i wanna understand!

Answers

Answer:

Step-by-step explanation:

16y = 80

You want to get y by itself so you divide 80 by 16

y = 80/16

y = 5

Hope I helped

The solution to the equation 16y = 80 is y = 5.

To solve the equation 16y = 80 for the variable y, you can follow these steps:

Step 1: Divide both sides of the equation by 16 to isolate the variable y:

(16y)/16 = 80/16

y = 5

Therefore, the solution to the equation is y = 5.

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The graph shows the wolf population in
Yellowstone National Park aince 2000 A
student drew a line of beat fit to model the
Wolf Population
180
160
150
Number of Wolves
5 130
120
110
100
.
0
2 4 6 8 10 12 14
Years Since 2000
Which statement best describes the line of
best fit that the student drew?
A. The line of best fit is not a strong model
for the data, because the points are not
close to the line.
B. The line of best fit is not a strong model
for the data, because it does not pass
through any of the data points.
C. The line of best fit is a strong model for
the data, because both the line and the
data show a negative trend.
D. The line of best fit is a strong model for
the data, because about half the data
points are on each side of the line.

Answers

Answer:

I think D but im not sure

Step-by-step explanation:

Rodrigo and his cousin have 8 bags of marbles. Some of the bags contain 5 white marbles. The rest of the bags contain 7 pink marbles. They have 48 marbles in all. How many bags of each color marble do the cousins have?

Answers

Answer:

The cousins have 4 bags of white marbles and 4 bags of pink marbles.

Step-by-step explanation:

If x is the number of bags with white marbles and y is the number of bags with pink marbles, we can write the following system:

x + y = 8 -- Equation 1

5x + 7y = 48 -- Equation 2

5x + 5y = 40 -- Equation 3 (Multiply Equation 1 by 5)

2y = 8 -- (Subtract Equation 3 from 2)

y = 4 -- (Divide both sides by 2)

x + 4 = 8 -- (Substitute y = 4 into Equation 1)

x = 4 -- (Subtract 4 from both sides)

6. It started snowing at 1 P.M.. At 6 P.M., the total snowfall is 8 centimeters.
What is the mean hourly snowfall?
is this finding the unit rate cause i forgot how to please someone answer quick!!!

Answers

Answer:

(8/5) Centimeyers

Step-by-step explanation:

From 1 PM to 6 PM there is a 5 Hour difference.

Mean (total/hours) = 8/5

Answer:

1.6 cm/hour.

Step-by-step explanation:

Yes it is the unit rate.

So mean horly snowfall = total snowfall / time

= 8 / (6 - 1)

= 8/5

= 1.6 cm/hour.

Find the area of the semicircle. diameter = 12

Answers

Answer:

[tex]\huge\boxed{\sf Area\ of \ Semicircle = 56.55 \ units^2}[/tex]

Step-by-step explanation:

Diameter = 12

Radius = 12/2 = 6

[tex]\sf Area\ of \ Semicircle =\frac{\pi r^2}{2} \\Area\ of \ Semicircle =\frac{\pi (6)^2}{2} \\Area \ of \ Semicircle = \frac{\pi (36)}{2}\\ Area \ of \ Semicircle = 18 \ pi[/tex]

[tex]\sf Area\ of \ Semicircle = 56.55 \ units^2[/tex]

Answer:

18π units²

Step-by-step explanation:

(see attached for reference)

Recall that the area of a whole circle is given by:

A = (π/4) D²,

where D is the diameter of the circle.

We know that the area of a semi-circle is half the area of a whole circle.

Therefore,

Area of Semi Circle

= (1/2) x area of whole circle

= (1/2) x (π/4) D²     (Substitute D = 12 units)

= (1/2) x (π/4) (12)²  

= 18π units²

Suppose that the cost of renting a snowmobile is $37.50 for 5 hours.


a. If c represents the cost and ݄ represents the hours, which variable is the dependent variable?


b. What would be the cost of renting 2 snowmobiles for 5 hours? please and thanks ( i"ll give brainiest )

Answers

a) The cost is the dependant variable, while the hours are the independent variable.

b) 2($37.50) = $75
Therefore it would cost $75 to rent 2 snowmobiles for 5 hours.

(a) How could you calculate 23 x 4 on your calculator if the 4 button is broken? (b) How could you calculate 23 x 21 if the 2 button on your calculator is broken?

Answers

Answer:

23 x 4

=> 23 x (2 + 2)

=> 23 x 2 + 23 x 2

23 x 21

=> 23 x (3 x 7)

=> (23 x 3) x (23 x 7)

23 + 23 + 23 + 23 = to get the answer of 92

23 x 2 + 23 x 2 =.92

Roselyn is driving to visit her family, which live 150 150150 kilometers away. Her average speed is 60 6060 kilometers per hour. The car's tank has 20 2020 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 66 kilometers per liter. Fuel costs 0.60 0.600, point, 60 dollars per liter. How long can Roselyn drive before she runs out of fuel?

Answers

Answer:

She can go 120 km before she runs out of fuel

It will take 2 hours.

Step-by-step explanation:

150 km is the distance

60 km/ h is the speed

The gas tank is 20 liters

We can go 6 km per liter

Fuel costs .60 dollars per liter

We need to determine how far she can go on a tank of gas

20 liters * 6 km / liter = 120 km

She can go 120 km before she runs out of fuel

120 km  = 60 km/ h  *  x hours

Divide each side by 60

120/60 = x

2 hours

Answer:

Hopes this helps!

Step-by-step explanation:

Evaluate the expression. r = , v = , w = v ⋅ w

Answers

Answer:

v . w= -13

Step-by-step explanation:

Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Solution

Given the vectors:

r = <8, 1, -6>

v = <6, 7, -3>

w = <-7, 5, 2>

If you're asking about the dot product.

The dot product is a scalar. It is the sum of the product of the corresponding components.

v.w = (6*-7) + (7*5) + (-3*2)

= -42+35-6

= -13.

4 - Q = -2 what is Q

Answers

Answer:

Q = 6

Step-by-step explanation:

Step 1: Write equation

4 - Q = -2

Step 2: Subtract 4 on both sides (Subtraction Equality)

-Q = -6

Step 3: Divide -1 on both sides (Division Equality)

Q = 6

And we have our answer!

Answer:

[tex] \boxed{Q = 6}[/tex]

Step-by-step explanation:

[tex] \mathrm{4 - Q = - 2}[/tex]

Move constant to R.H.S and change its sign

[tex] \mathrm{ - Q = - 2 - 4}[/tex]

Calculate

[tex] \mathrm{ - Q = - 6}[/tex]

Change the signs on both sides of the equation

[tex] \mathrm{Q = 6}[/tex]

Hope I helped!

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Evaluate a + b for a = 12 and b = 6. To avoid having a voidable contract, all 'time is of the essence' deadlines set by the contract must be met:________ a. within 24 hours of the stated deadline. b. within 48 hours of the stated deadline. Digby's turnover rate for this year is 6.33%. This rate is projected to remain the same next year and no further downsizing will occur from automating. What would the total recruiting cost be for Digby, assuming it spends the same amount extra above the $1,000 recruiting base as they did this year? "What action is the Federal Reserve MOST likely to take if it is worried about increasing inflation due to extremely rapid economic expansion?" What made Judaism different from the religions that came before it? It was monotheistic. It introduced prayer. It required sacrifices. It had special holidays. 1. In your opinion why did European rulers want to pay forexpeditions to explore new lands? Carr Company is considering two capital investment proposals. Estimates regarding each project are provided below: Project Soup Project Nuts Initial investment $400,000 $600,000 Annual net income 30,000 46,000 Net annual cash inflow 110,000 146,000 Estimated useful life 5 years 6 years Salvage value -0- -0- The company requires a 10% rate of return on all new investments. Present Value of an Annuity of 1 Periods 9% 10% 11% 12% 5 3.890 3.791 3.696 3.605 6 4.486 4.355 4.231 4.111 "The net present value for Project Nuts" is Group of answer choices Suppose you invest $20,000 by purchasing 200 shares of Abbott Labs (ABT) at $50 per share, 200 shares of Lowes (LOW) at $30 per share, and 100 shares of Ball Corporation (BLL) at $40 per share. Suppose over the next year Ball has a return of %, Lowes has a return of %, and Abbott Labs has a return of . The return on your portfolio over the year is: The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x+12=48,where x represents the cost of a. Ticket.how much is one ticket A year ago, you purchased 300 shares of Stellar Wood Products, Inc. stock at a price of $8.62 per share. The stock pays an annual dividend of $0.10 per share. Today, you sold all of your shares for $4.80 per share. What is your total dollar return on this investment Write an letter to your friend about lockdown Solve for x and y simultaneous equations: 2x+y=10-3x+y=-5 If a manager is called upon to hire a new vendor and negotiate the best services for the best price, which type of role is required? Find four rational number between 1/4 and 2/3. Tan x is ........ Cos x is ........ Sin x is .......... Mathematics, probability and chance Can somebody help me, I always thank and vote The fact that the speed of a vehicle is lower than the prescribed limits shall relieve the driver from the duty to decrease speed when approaching and crossing an intersection. True or false Please answer this question now A rectangle has an area of 81 square centimeters. Which of the following would be the rectangle's length and width? (Area = equals lengthtimes width) Which transition would be best to use at the beginning of sentence 3? Does cell phone use lead to