please help with math

Please Help With Math

Answers

Answer 1

Answer:

The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.

Step-by-step explanation:

The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!


Related Questions

I need help ASAP can someone please help me right away​.​

Answers

Answer:

60 degrees.

Step-by-step explanation:

We know that we can rotate the image by a total of 360 degrees until we reach the original point again.

To rotate the image to a point where the image looks the same, we need to take a look at how we can do this. We want to line up the image with the gap between the two white semicircles. There are a total of 6 of these gaps:

360/6 = 60 degree rotations will make the image the same.

I hope this helps!

În figura 2 este reprezentat un triunghi ABC, dreptunghic în A, cu BC=32 cm și BD=8 cm, unde AD perpendicular pe BC, D apartine de BC. Punctul M este mijlocul laturii AC.
a) Arătați că AB=16 cm.
b) Calculați aria patrulaterului ABDM.
c) Demonstrati că, dacă N este punctul de intersecție a drepturilor AB și DM, atunci segmentele MN și AC sunt concurente.

Answers

Answer:

..........................

Aaron buys 2 t-shirts for $10.50 each, a 3-pack of socks for $7.95, what is the total cost of Aaron’s purchases?

Answers

Answer:

10.50+10.50+7.95=$28.95

The Answers is 28.95

A tent guy line supports one of the upright tent poles. It runs from the top of the pole to a peg in the ground two and a half metres away from the base of the pole. If the guy line is 359cm long, how tall is the upright tent pole? Give your answer in centimetres correct to the nearest centimetre.

Answers

Answer:

258 cm

Step-by-step explanation:

Given:

Distance from the base of the pole to the base of a tent guy line is [tex]2\frac{1}{2}[/tex]

Length of a tent guy line is 359 cm

To find: Height of the upright tent pole

Solution:

Let AB denotes the pole and AC denotes a tent guy line.

According to Pythagoras theorem, in a right angled triangle, square of hypotenuse is equal to sum of squares of other two sides.

[tex]AC^2=AB^2+BC^2[/tex]

[tex]AC=359 cm\\AB=x\\BC=2\frac{1}{2}\,m=\frac{5}{2}\,m=\frac{5}{2}\times 100=250\,cm[/tex]

Therefore,

[tex](359)^2=x^2+(250)^2\\128881=x^2+62500\\128881-62500=x^2\\66381=x^2\\x=257.6\,cm\approx 258\,cm[/tex]

Find the perimeter and area of the composite shape...

Answers

Answer:

P = 30

A = 22

Step-by-step explanation:

Find perimeter first

P = 5 + 5 + 2 + 2 + 2 + 2 + 2 + 2 + 4 + 4

P = 10 + 12 + 8

P = 30

Now area

A = 2(5 * 2) + (2 * 1)

A = 2(10) + (2)

A = 20 + 2

A = 22

Answer:

Perimeter: 34

Area: 22

Step-by-step explanation:

You can split this diagram into 3 rectangles and then find the area and perimeter of each using the formula P=2l+2w and A=lw. Then add each answer up.

the last question is confusing me ive done a and b put all my points in please help im confused 5 star rating and a thanks will also be included

Answers

Answer:

Step-by-step explanation:

a) negative correlation

b) diagram c

c) diagram b because its erm no correlation its scattered

PUT ME AS THE BRAINIEST

i need the right answer to this question please and how you got it!!!

Answers

Answer:

a) 1 and 7 = congruent

b) 2 and 5 = supplementary

c) 4 and 6 = congruent

d) 3 and 8 = supplementary

Step-by-step explanation:

Congruent angles are the same, but in different forms. So they might be flipped around, but they are still the same angle and they have the same number of degrees.

Supplementary angles are 2 angles that add up to 180 degrees.

For example, you know that 2 + 3 = 180 degrees, because its sitting on a straight line, and so they are supplementary. They have been cut unevenly which makes 2>3. Same goes for all the other pairs of angles. Using this, you can determine which ones are supplementary and congruent.

So, even though they haven't given you exact values for each of the angles, just by looking at the shape, you can often tell very easily what kind they are:

*acute angles = angles that are less than 90 degrees

*obtuse angles = angles more than 90 degrees, but less than 180 degrees.

a) 1 and 7 have the same shape. Both are acute angles, just flipped upside down.

b) 2 and 5 are complementary. 5 is an acute angle, like 1 and 7. 2 is an obtuse angle, like 6 and 8. If you look at it closely, you can tell that they add up to 180 degrees.

c) 4 and 6 are congruent. They are both obtuse angles.

d) 3 and 8 are supplementary. 3 is an acute angle and 8 is obtuse.

Hope this helped : )

25t-13=-24t-30 for t

Answers

Answer:

t = -17/49

Step-by-step explanation:

25t-13=-24t-30

Add 24t to each side

25t+24t-13=-24t+24t-30

49t-13=-30

Add 13 to each side

49t-13+13=-30+13

49t = -17

Divide each side by 49

49t/49 = -17/49

t = -17/49

The right answer is - 17/49

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

A unicycle wheel has a diameter of 20 inches. How many inches will the unicycle travel in 8 revolutions? Use π = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:

502.40 inches

Step-by-step explanation:

First we need to find the circumference of the wheel, which is given by pi times the diameter:

C = (3.14)(20) = 62.8 inches

That's how far the unicycle will travel in 1 revolution, so from there just multiply by 8

D = (62.8)(8) = 502.40 inches

The unicycle travel 502 inches in 8 revolutions

What is a circumference of a circle?

The circumference is the perimeter of a circle. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.

Given that, a unicycle wheel has a diameter of 20 inches.

To find that how many inches will the unicycle travel in 8 revolutions, we will multiply the circumference to the asked number of revolutions.

Circumference = π × diameter

= 3.14 × 20 = 62.8 inches

The unicycle travel in 8 revolutions = 62.8 × 8 = 502.4 inches

In nearest hundred = 502 inches

Hence, the unicycle travel 502 inches in 8 revolutions

For more references on circumference, click;

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6-x=5x+30

what is x​

Answers

Answer:

x = -4

Step-by-step explanation:

6 -x = 5x + 30

6 - 30 = 5x + x

-24 = 6x

divide both sides by 6 to get x = -4

Answer:

[tex]=-4[/tex]

Step-by-step explanation:

[tex]6-x=5x+30\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\6-x-6=5x+30-6\\\mathrm{Simplify}\\-x=5x+24\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\-x-5x=5x+24-5x\\Simplify\\-6x=24\\\mathrm{Divide\:both\:sides\:by\:}-6\\\frac{-6x}{-6}=\frac{24}{-6}\\Simplify\\\frac{-6x}{-6}=\frac{24}{-6}\\\mathrm{Simplify\:}\frac{-6x}{-6}:\quad x\\\frac{-6x}{-6}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{6x}{6}\\\mathrm{Divide\:the\:numbers:}\:\frac{6}{6}=1\\=x[/tex]

[tex]\mathrm{Simplify\:}\frac{24}{-6}:\quad -4\\\frac{24}{-6}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{24}{6}\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{6}=4\\=-4\\[/tex]

Aisha and brendan are watching a hot air balloon. the angle of elevation for aisha is 65 degrees. what is the angle of elevation for brendan?

Answers

Answer:

The angle of elevation for Brendan is  40°

Step-by-step explanation:

To find the angle of elevation of Brendan, we will follow the steps below;

we can use the sine formula to find the angle of elevation of Brendan since we were given two sides and one angle

Using the sine rule;

[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin E}{e}[/tex]

From the diagram above, angle A = 65°     side a = 155 m   side e=110 m

angle E is what we are to find

we can now proceed to insert the values into the formula

[tex]\frac{sin 65}{155}[/tex]  =  [tex]\frac{sin E}{110}[/tex]

cross-multiply

155 sinE = 110 sin65°

Divide both-side of the equation by 155

sin E = 110 sin65° / 155

sin E =0.64319

Take the sin⁻¹  of both-side of the equation

sin⁻¹ sin E = sin⁻¹ (0.64319)

At the left-hand side of the equation sin⁻¹ will cancel-out sin leaving us with just E

E =  sin⁻¹ (0.64319)

E= 40°

The angle of elevation for Brendan is  40°

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph?

Answers

Answer:

b

Step-by-step explanation:

i did the test and I got the answer right here after being corrected so yah.

Answer:

All real numbers

Step-by-step explanation:

Decrease 220kg by 12.5%.

NEED HELPPP!

Answers

Hmm try 192.5 I think that’s right

Answer:

192.5 kg

Step-by-step explanation:

220-12.5%=220*(100-12.5)/100=220*0.875= 192.5 kg

Neglecting air​ resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t squared​, where t is time in seconds. The height of a certain tower is 986 feet. How long would it take an object to fall to the ground from the top of the​ building?

Answers

Answer: t = 7.85seconds

Step-by-step explanation:

Given that :

Height of tower = 986 Feets

Function s(t) = 16t^2

To find the time t 8 in Seconds taken for an object to fall to the ground from the top of the​ building

16t^2 = 986

t^2 = 986/16

t ^2 = 61.625

Take the square root of both sides

t = sqrt(61.625)

t = 7.85seconds

Answer:

7.85sec

Step-by-step explanation:

Given that,

s(t)=16t squared​, where t is time in seconds. The height of a certain tower is 986 feet.

s(t) = 16t²

so when s = 986feet

16t² = 986 feet

t² = 986 /  16

t² = 61.625

t = √61.625

t= 7.85 seconds

1.)Mr. Williams weighs 300 pounds. He went on the Subway diet and was guaranteed to lose 5 pounds per week. Write an equation that could be used to find how many weeks, w, it would take for him to weigh 150 pounds.

How many weeks would it take?

2.)The total bill for repairing Troy’s car was $527.63. He paid $210 for parts and the rest of the bill was labor. The technicians that fixed his car charge $52 per hour. Write an equation that could be used to find, t, the length of time it took to fix the car.

How long did it take to get the car fixed?

3.)You have $60 and your sister has $120. You are saving $7 per week and she is saving $5 per week. How long will it take before you and your sister have the same amount of money? Write an equation and solve.(HINT: THIS PROBLEM SHOULD HAVE THE SAME VARIABLE ON BOTH SIDES)

what is the equation and solution ?


4.)SAT Prep If the length of a rectangular parking lot is 3 times its width and its perimeter is 840 yards, what is the length of the parking lot, in yards?


Answers

Answer:

Step-by-step explanation:

1)Since he can lose 5 pounds per week, this is a linear rate. The weight is decreasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

n = number of terms(weeks)

d = common difference(5 pounds)

a= first term(300 pounds)

The equation that could be used to find how many weeks, w, it would take for him to weigh 150 pounds would be

150 = 300 + (w - 1)5

150 - 300 = 5w - 5

- 150 + 5 = 5w

w = 145/5 = 29 weeks

2) t represents the number of hours used to fix the car. The cost of t hours is 52t. Total amount paid is 210 + 52t. The equation that could be used to find, t, the length of time it took to fix the car is

210 + 52t = 527.23

3) 52t = 527.23 - 210 = 317.23

t = 317.23/52

t = 6 hours

3) Let x represent the time it will take before you and your sister have the same amount of money. The amount that you would have in x weeks is 60 + 7x

The amount that you sister will have in x weeks is 120 + 5x. The equation would be

60 + 7x = 120 + 5x

7x - 5x = 120 - 60

2x = 60

x = 60/2 = 30 weeks

4) let L represent the length of the parking lot.

let W represent the width of the parking lot.

If the length of a rectangular parking lot is 3 times its width, it means that

L = 3W

Its perimeter is 840 yards. It means that

2(L + W) = 840

L + W = 840/2 = 420

Substituting, it becomes

3W + W = 420

4W = 420

W = 420/4 = 105

L = 3 × 105 = 315

Length = 315 yards

The average number of acres burned by forest and range fires in a county is 4,500 acres per year, with a standard deviation of 780 acres. The distribution of the number of acres burned is normal. What is the probability that between 3,000 and 4,800 acres will be burned in any given year? Round your answer to four decimal places.

Answers

Answer:

0.6206

Step-by-step explanation:

We would be using the Z score probability to answer this question

The formula to find the is given as :

is z = (x-μ)/σ,

x = observed value

μ = mean or average value

σ = Standard deviation

To find the probability that between 3,000 and 4,800 acres will be burned in any given year

Step 1

Find the probability that that between 3,000 will be burned in any given year

z = (x-μ)/σ,

x = observed value = 3000

μ = mean or average value = 4500

σ = Standard deviation = 780

z = (3000- 4500)/780

z = -1.92308

Step 2

Find the probability that that between 4,800 will be burned in any given year

z = (x-μ)/σ,

x = observed value = 4800

μ = mean or average value = 4500

σ = Standard deviation = 780

z = (4800- 4500)/780

z =0.38462

Step 3

Using the Z score normal distribution table:

= P(Z <0.38462) - P(Z < - 1.92308)

= P(-1.92308 < Z < 0.38462)

Using the Z score normal distribution table:

P(z) -1.92308 = 0.02743

P(z) 0.38462 = 0.64803

Therefore, the probability that between 3,000 and 4,800 acres will be burned in any given year

0.64803 - 0.02743

= 0.6206

Answer: 0.6225

Step-by-step explanation:

$P\left(3,000<X<4,800\right)=0.6225

The mean is μ=4500 and the standard deviation is σ=780. Because the probability between two values is to be calculated, subtract the probability of the lower value from the higher value. In this case, you have to use the NORMDIST function twice.

1. Open Excel and click on any empty cell. Click Insert function, fx.

2. Search for NORMDIST in the search for a function dialog box and click GO.

3. Make sure NORMDIST is on top in select a function. Then click OK.

4. In the function arguments of the NORMDIST function, enter 4800 for X, 4500 for mean, 780 for Standard_dev, and TRUE for Cumulative, all for the higher value of X. Thus, the answer, rounded to four decimal places, is 0.6497.

5. Click on any other empty cell. Click Insert function, fx.

6. Search for NORMDIST in the search for a function dialog box and click GO.

7. Make sure NORMDIST is on top in select a function. Then click OK.

8. In the function arguments of the NORMDIST function, enter 3000 for X, 4500 for mean, 780 for Standard_dev, and TRUE for Cumulative, all for the lower value of X. Thus, the answer, rounded to four decimal places, is 0.0272.

Now subtract: 0.6497−0.0272=0.6225. Thus, the probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6225.

two integers have a sum of 2, and a difference of 12. find the two integers

Answers

Answer: The two integers are 7 and -5

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

Explanation:

Let x and y be the two integers where x > y.

The two integers have a sum of x+y and this is equal to 2, so x+y = 2. Solve for y to get y = -x+2

The two integers also have a difference of 12, so x-y = 12. Plug in y = -x+2 and solve for x

x-y = 12

x - ( y ) = 12

x - ( -x+2 )  = 12 ... replace y with -x+2

x + x - 2 = 12

2x - 2 = 12

2x - 2+2 = 12+2 .... adding 2 to both sides

2x = 14

2x/2 = 14/2 .... divide both sides by 2

x = 7

Use this x value to find y

y = -x+2

y = -7+2

y = -5

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

As a check,

x+y = 7+(-5) = 7-5 = 2 ... we get a sum of 2

x-y = 7-(-5) = 7+5 = 12 ... and get a difference of 12

the answers have been confirmed

50 POINTS!! Are the sums rational or irrational?

Answers

Answer:

rational

irrational

  irrational

 rational

rational

irrational  

Step-by-step explanation:

sqrt(16) +  (-21/5) = 4 + (-21/5) = 4+(-4 1/5)= rational both can be written as fractions

pi +24  irrational  pi is irrational

sqrt(8) + pi = 2 sqrt(2) + pi   irrational because  both are irrational

sqrt(4) +5 = 2+5 = 7  rational

sqrt(36) + cuberoot(27) =6+3 = 9  rational

3/4+ sqrt(27) = 3/4 + 3sqrt(3) = irrational   sqrt(3) is irrational  

Answer:

rational

irrational

irrational

rational

rational

irrational  

Step-by-step explanation:

√16 = 4 is rational.

-21/5 is rational it can be expressed as a fraction.

[tex]\pi[/tex] is irrational.

√4 = 2 is rational.

5 is a rational number.

√36 = 6 is rational.

∛27 = 3 is rational.

3/4 is rational.

√27 is irrational.

write the recurring decimal 0.4 as a fraction in its simplest form.

Answers

Answer:

2/5

Step-by-step explanation:

0.4 = 4/10 which in simplest form is 2/5

Answer:

2/5

Step-by-step explanation:

Hy it

Use the work shown below to solve.

The solution is k =

À Ý

N 0

1. Identify the operation in the equation.

2. Use inverse operations to solve.

Subtraction property of equality

3/8 = k + 11

3/2 - 1 1 2 = k + 11 2 - 17

- Addition property of equality

§ + (-2) =k+ 11 + (-1)

Nola

Answers

Answer:

-4

Step-by-step explanation:

i just did it..

Answer:

The correct answer is -4

Step-by-step explanation:

I hope this helps you.

What is the volume of the cylinder shown below?

Answers

Answer: V=1008π units³

Step-by-step explanation:

The formula for volume is [tex]V=\pi r^2h[/tex]. We can plug in our values to find volume.

[tex]V=\pi (12)^2(7)[/tex]

[tex]V=1008\pi[/tex]

guys can u please help me out

Answers

Answer:

[tex]-0.36a^5x^6b^6[/tex]

Step-by-step explanation:

Ok first multiply the first two monomials:

[tex]-0.6a^3x^6b^3[/tex]

Then multiply THAT with the OTHER monomial:

[tex]-0.36a^5x^6b^6[/tex]

This should be the answer. Let me know if it's wrong.

Francesca has a garden at home. She has 3 rows of tomato with 8 plants . She also have 5 rows of zucchini plants with 6 plants in each row. Write a numerical expression for the total number of plants in Francesca garden

Answers

Answer:

54 plants

Step-by-step explanation:

3rows of tomatoes with 8 plants each

=3×8=24

5 rows of zucchini plants with 6 plants each

=5×6

=30

Total number of plants in Francesca garden

=24 tomatoes+30 zucchini

=54 plants

Which equation represents the relationship between the x-values 0, 2, 4, 6, 10and the y-values 4, 16, 28, 40, 64in the table

Answers

Answer:

y = 8x +4

Step-by-step explanation:

jean jogs 2/3 km at 12 km and then walks 1 1/3 km at 8km/h.Find her average for the whole journey.

Answers

Answer:80mi/hr * 3.5hrs

Two sandboxes with the same area are shown. The equation represents the area of Sandbox 2 in terms of its width. Which is the approximate length of the longest side of Sandbox 2? Round the answer to the nearest hundredth of a meter. 2.72 meters 3.06 meters 9.16 meters 10.18 meters

Answers

Answer:

C

Step-by-step explanation:

9.16 meters

The length of sandbox 2 is 9.16 meters.

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

Given Two sandboxes with the same area,

area of sand box 1 = 25 m²

area of sand box 2 = w(3w+1) = 25

25 = w(3w + 1)

3w² + w - 25 = 0

w = 2.7248 (round to 2.72 m)

length is (3w + 1) = 3(2.72) + 1 = 9.16 m

Hence the length is 9.16 meters.

Learn more about area;

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the complete Question is,

Two sandboxes with the same area are shown. The equation w(3w+1)=5^2 represents the area of Sandbox 2 in terms of its width. Which is the approximate length of the longest side of Sandbox 2? Round the answer to the nearest hundredth of a meter. and area of sandbox 1 ia 25 m².

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

g(x)=[tex]-2x^{2}[/tex]+1

Step-by-step explanation:

Answer:

g(x) = (x +2)² + 1

Step-by-step explanation:

original function is moved 2 units to the left and 1 unit up so

g(x) = (x-(-2))²+1

g(x) = (x +2)² + 1

The volume of a cylinder is 180 cubed meters. What is the volume of a cone with the same radius and height as the cylinder?

Answers

Answer:

60 cubic meters will be the volume of such cone.

Step-by-step explanation:

Formula for volume of a cylinder:

[tex]V = \pi r^{2} h ...... (1)[/tex]

Where [tex]r[/tex] is the radius of base of cylinder

and [tex]h[/tex] is the height of cylinder

V = 180 cubic meters

Formula for volume of a cone:

[tex]V' = \dfrac{1}{3}\pi R^{2} H ...... (2)[/tex]

Where [tex]R[/tex] is the radius of base of cone

and [tex]H[/tex] is the height of cone

Now, it is given that height and radius of cone are equal.

[tex]r = R\\h =H[/tex]

Putting the values in equation (2):

[tex]V' = \dfrac{1}{3}\pi r^{2} h[/tex]

Using equation (1):

[tex]V' = \dfrac{1}{3} \times V[/tex]

Putting V = 180 cubic meters

[tex]\Rightarrow V' = \dfrac{1}{3} \times 180\\\Rightarrow V'=60 \text { cubic meters}[/tex]

Hence, 60 cubic meters will be the volume of such cone.

The width of rectangle is 7 less than twice the length. If the perimeter of the rectangle is 43.6 inches, what is the area of the rectangle?

Answers

Answer:

29.49 square inches

Step-by-step explanation:

Let the length of the rectangle be x inches

Therefore, width = (2x - 7) inches

Perimeter of rectangle =2( length + width)

therefore,

43.6 = 2 ( x + 2x - 7)

43.6/2 = 2 ( 3x - 7)

21.8 = 6x - 14

21.8 + 14 = 6x

6x = 35.8

x = 35.8/6

x = 5.97 inches

Length = 5.97 inches

width = 2*5.97-7 =11.94 - 7 = 4. 94 inches

Area of rectangle

= Length * width

= 5.97*4.94

=29.4918

= 29.49 square inches

Can someone help me with my homework please!

Answers

Answer:

(-1, 4)

Step-by-step explanation:

In the figure attached,

Ordered pair representing point P is (3, 4) [parallel to y-axis]

If this point has been reflected across a line x = 1

New point after reflection across x = 1 will be,

P(3, 4) → P'(-1, 4)

Since point P and P' will be equidistant from the line (x = 1), so the x ordinate of P' will be = 3 - 4 = -1

And y-ordinates of point P' will be same as y = 4

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Por qu el motivo narrativo La soledad es una temtica recurrente en la sociedad contempornea? What is the function of the crop in birds?to circulate oxygento circulate bloodto store foodto grind food Which statement about quotation marks is true?1. Quotation marks set apart short quotations.II. Typically, a direct quotation requires three quotation marks.III. Commas used to introduce short quotations appear outside the quotation marks.O II onlyI and IIIl and IIIO I and III In one area, monthly incomes of technology-related workers have a standard deviation of $650. It is believed that the standard deviation of the monthly incomes of non-technology workers is different. 71 non-technology workers are randomly selected and it is determined that these selected workers have a standard deviation of $950. Test the claim that the non-technology workers have a different standard deviation (so different from $650). Use a 0.10 significance level. The common stock of the P.U.T.T. Corporation has been trading in a narrow price range for the past month, and you are convinced it is going to break far out of that range in the next 3 months. You do not know whether it will go up or down, however. The current price of the stock is $120 per share, and the price of a 3-month call option at an exercise price of $120 is $8.89. a. If the risk-free interest rate is 8% per year, what must be the price of a 3-month put option on P.U.T.T. stock at an exercise price of $120? (The stock pays no dividends.) (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. A straddle would be a simple options strategy to exploit your conviction about the stock prices future movements. How far would it have to move in either direction for you to make a profit on your initial investment? (Round your intermediate calculations and final answer to 2 decimal places.) A heat engine with a thermal efficiency of 25% is connected to an electric generator with an efficiency of 95%. A liquid fuel providing heat is consumed at 2.29 litres per hour. What is the power output in kW from the generator?Heat of Combustion: 43.7 MJ/kg Density of the fuel: 0.749 g/ml Matt plays badminton. He serves the birdie with a velocity of 4.25 m/s [right] covering a displacement of 5.2 m [forward]. How much time does this birdies trip take? show your work below Check the consistency of 2x-3y=7 and x-2y+1=0 After you select a section of an image and copy it, you can use thepaint with that image as a brush.Clipboard brushPaintbrush toolBucket Fill toolRectangle Select tool complete en el cuaderno de lengua el siguiente crucigrama sobre los medios de comunicacin A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Everyone liked at least one sport except 7 kids, which doesn't like any of these three kind of sports. 12 children liked Chess and Football but not Swimming, 16 children liked Chess and Swimming but not Football, 8 children liked Swimming and Football but not Chess, 10 children liked Chess only, 40 children liked Swimming, 32 student liked Football.a)Find the number of kids who liked Swimming and Football.b)What is the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?c)What is the probability that a randomly-chosen child from this group does not like active kinds of sport? I Need Help With This QuestionAttachment below a polar cell moves between ______A. 0 to 30 latitudesB. 30 to 60 latitudesC. 60 to 90 latitudesPlease hurry! I'm in a quiz! What is the sum 2/x^2 + 4/x^2 Solve h = - 16t2 + 36 for the time t in seconds it takes for the height h to reach 0. Apply the square root method. pls help answer the questions if you do not know all the question answer the ones you know A can of StarKist tuna has a volume LaTeX: 18\pi\:cm^318 c m 3 and a height of 2 cm. Find the area of the StarKist label below the wraps around the entire can and does not overlap. Write your answers in terms of LaTeX: \pi. What was Germany's greatest problem at the beginning of the war? (5 points) It had begun a two-front war with Russia and France. A Communist revolution threatened to overthrow the Kaiser. The United States had entered the war on the side of the Allies. The British navy had blockaded its ports and began sinking its ships at sea. Which inverse operations could you use to solve the equation m58=6? Select all that apply.AMultiply each side by 5 and then add 8 to each side.BAdd 8 to each side and then multiply each side by 5.CAdd 8 to each side and then divide each side by 5.DSubtract 8 from each side and then multiply each side by 5.ESubtract 6 from each side and then multiply each side by 8.FMultiply each side by 5 and then add 40 to each side. Nelson Mfg. owns a manufacturing facility that is currently sitting idle. The facility is located on a piece of land that originally cost $159,000. The facility itself cost $1,390,000 to build. As of now, the book value of the land and the facility are $159,000 and $458,000, respectively. The firm owes no debt on either the land or the facility at the present time. The firm received a bid of $1,700,000 for the land and facility last week. The firm's management rejected this bid even though they were told that it is a reasonable offer in today's market. If the firm was to consider using this land and facility in a new project, what cost, if any, should it include in the project analysis