Help plsssssssssssssssassssssssssssss

Help Plsssssssssssssssassssssssssssss

Answers

Answer 1

Answer:

v ≈ - 5.29, v ≈ 5.29

Step-by-step explanation:

Given

3v² - 84 = 0 ( add 84 to both sides )

3v² = 84 ( divide both sides by 3 )

v² = 28 ( take the square root of both sides )

v = ± [tex]\sqrt{28}[/tex]

Thus

v = - [tex]\sqrt{28}[/tex] ≈ - 5.29

v = [tex]\sqrt{28}[/tex] ≈ 5.29


Related Questions

3 Ms. O'Conner took a poll of 80 students to find out
how they get to school. How many more students get
to school on a bus than in a car?
How We Get to School
12%
walk
40%
bus
18%
bicycle
30%
car

Answers

Answer:

8!

Step-by-step explanation:

find numbers for school bus and car by multiplying percentages in decimal form 40% turns into .40 and 30 into .30

0.4x80 and 0.3x80 = 32 and 24. 32-24=8

Answer: 8!

Step-by-step explanation:

Find the value of 5w-1 given that 3w-4=8
Simplify your answer as much as possible

Answers

Answer:

19

Step-by-step explanation:

Solve for the value of w.

3w - 4 = 8

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

3w - 4 (+4) = 8 (+4)

3w = 8 + 4

3w = 12

Divide 3 from both sides to fully isolate the variable, w:

(3w)/3 = (12)/3

w = 12/3

w = 4

Plug in 4 for w in the first expression & solve:

5w - 1

5(4) - 1

20 - 1

19

19 is your value.

~

Answer:

19

Step-by-step explanation:

First, we need to solve for w by isolating it

3w-4=8

Add 4 to both sides

3w=12

Divide both sides by 3

w=4

Now we know w and can plug 4 in for w and solve

5w-1

5(4)-1

20-1

19

Twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solving a system of equations. Explain how you solved the system.

Answers

Answer:

2x+2y=310

x-y=55

multiply seond equation by 2 and adding to first equation

2x-2y=110

add

2x-2y=110

2x+2y=310 +

4x+0y=420

4x=420

divide 4

x=105

sub

x-y=55

105-y=55

minuse 105

-y=-50

mult -1

y=50

the numbers are 105 and 50

What is the value of x in the problem attached?

Answers

Answer:

20

Step-by-step explanation:

subtract 5 from 85 then divide by 4

85-5=80

80/4=20

X=20. hope it helps!

Find the circumference of a circle whose radius is 7 in.

Answers

Answer:

43.96

Step-by-step explanation:

you get pi which is 3.14 times 7 and then times 2

Answer:

43.98 inches

Step-by-step explanation:

The circumference of a circle can be found using:

[tex]c=2r\pi[/tex]

We know r, or the radius is 7, so we can substitute that in

[tex]c=2*7(\pi )[/tex]

[tex]c=14\pi[/tex]

c=43.9822972

or, about

43.98 inches

Solve the equation. 8 – 2x = –8x + 14 x = –1 x = x equals negative StartFraction 3 Over 5 EndFraction x = x equals StartFraction 3 Over 5 EndFraction x = 1

Answers

Answer:

x =1

Step-by-step explanation:

Solve the equation:

8 - 2x = -8x + 14

Collect like terms

8 - 14 = -8x + 2x

-6 = -6x

x = -6/-6

x = 1

Answer:

x=1

Step-by-step explanation:

i did the quiz

The base of a polyhedron is a square and the lateral faces are triangles. What polyhedron is being described??

Answers

9514 1404 393

Answer:

  square pyramid

Step-by-step explanation:

The description fits that of a square pyramid.

Find the value of x (no labels)

Answers

Answer:

x = 100

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+ 42+ 38 = 180

Combine like terms

x + 80 = 180

Subtract 80 from each side

x+80-80 = 180-80

x = 100

Answer:

Easy!

Step-by-step explanation:

First, we have to know that:

The Sum of All Angles in a Triangle is 180 Degrees

(Self-explanatory, really)

This means that 42, 38, and x added together will equal 180 degrees, thus me set up our equation:

[tex]42+38+x=180\\x=100[/tex]

See? Simple.

Hope this helps!

FYI Remember that x= 100 Degrees

What is the greatest common factor of the terms in the expression 21 x minus 18 x + 28 x y?
3
3x
x
xy

Answers

Answer:

I believe it’s x but i’m not 100% sure. hope this helps :)

Step-by-step explanation:

Answer:

it’s x  hope this helps :)

Step-by-step explanation:

O José lançou uma bola de cima de um muro. A distância da bola ao chão, em metros, quando percorre horizontal, é dada por d (x) = -0,4x/2 + 1,6x + 2

Answers

Answer:

[tex]1,43 m[/tex]

Step-by-step explanation:

1) Vamos reescrevê-la já que há dois termos do 1º grau e portanto, admite simplificação:

[tex]d(x)=\frac{-0,4x}{2}+1,6x+2\\d(x)=\left ( \frac{-0,4+3,2}{2} \right )x+2\\d(x)=\frac{2,8}{2}x+2\\d(x)=1,4x+2[/tex]

2) Agora, vamos fazer uma leitura mais atenta da função na qual d, indica "distância" e x

Considerando que José está em cima do muro, e jogou a boa a distância é calculada

[tex]0=1,4x+2\\x=\frac{-2}{1,4}\\x\approx -1.43\\[/tex]

Como distância é um valor absoluto, isto é não existem distâncias "negativas" então |-1,43|=1,43

3)

2) To bake a cake, we need 2 eggs for every cup of sugar. If we need to make 21 cakes for a bake sale how many eggs and cups of sugar will we need?

Answers

Step-by-step explanation:

It means every cake needs 2 eggs and 1 cup of sugar

So first we will multiply 21 by 2 to get the number of eggs = 21 ×2 = 42

So answer is 21 cups and 42 eggs

Ginger likes to ride her bicycle and she wants to ride 30 miles the first day, 55 miles the second day and 100 miles the third day. How many miles will she ride during the three days?

Answers

Answer:

30+55+100=185

Step-by-step explanation:

i will give u a crisp high five if u answer his for me playboi

Answers

Answer:

The answer is around 190°

Step-by-step explanation:

You use A= (central angle/ 360) x πr²

Substitute the values you have and solve:

59.66 yd² = [tex]\frac{x}{360}[/tex] x π x (6)²

59.66 yd² = [tex]\frac{x}{360}[/tex] x π x 36

Solve for x and you get 189.9036781 ≈ 190°

Answer:

around 190°

Step-by-step explanation:

George and Maria decided to create a garden in their backyard. George works on the garden every third day and Maria works on the garden every fourth day.
If they worked on the garden today, the number of days until they work on the same day again would be
.

Answers

Answer:

After 12 days

Step-by-step explanation:

4×3

A car rental companies standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge (in dollars) is given by the function , where is the number of miles driven. The company also offers an option to insure the car against damage. The insurance charge (in dollars) is given by the function . Let be the total charge (in dollars) for a rental that includes insurance. Write an equation relating to . Simplify your answer as much as possible.

Answers

The rental's total charge that includes insurance, represented by T(m), is the sum of the standard charge function C(m) and the insurance charge I, as in the equation T(m) = C(m) + I.

The question provided is incomplete as the functions for the standard charge and the insurance charge are not specified. However, assuming the functions are given by C(m) for the standard charge, where m is the number of miles driven, and I for the insurance charge, the total charge would be represented by the function T(m). The equation that relates the total charge to both the standard charge and the insurance charge would therefore be T(m) = C(m) + I. Simplifying the equation does not apply in this case as the individual functions are not provided for further manipulation.

The soot produced by a garbage incinerator spreads out in a circular pattern. The depth, H(r), in millimeters, of the soot deposited each month at a distance r kilometers from the incinerator is given by H(r)=0.116eâ2.3r.Write a definite integral (with independent variable r) giving the total volume of soot deposited within 5 kilometers of the incinerator each month.

Answers

Answer:

V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) ] dr with upper limit of 5 and lower limit of 0. Unit in m^3.

Step-by-step explanation:

H(r) = 0.116e^(-2.3r)

H(r) = millimeters

r = kilometers

We'll use Riemann's sum to approximate the total area underneath the region of the integral.

Using Riemann's sum, we break the region into rings of radius r and width ∆r.

Area of rings = πr^2

Area of the rings with radius r and width ∆r, then becomes=

π(r+ ∆r)^2 - πr^2

On expanding:

Area = π[ r^2 + 2r∆r + (∆r)^2] - πr^2

= πr^2 + 2πr∆r + π(∆r)^2 - πr^2

= 2πr∆r + π(∆r)^2

Area = ∆r(2πr + π∆r)

Area/∆r = 2πr + π∆r

At lim ∆r tends to zero

Area/∆r = 2πr + 0 = 2πr

Area = 2πr∆r

Volume = Area * depth

= Area * H(r)

∆V approximately equal to:

2πr∆r * H(r)

Sum of the contribution for all the rings for the volume (total volume):

V approximately sum of [H(r) *2πr∆r]

V ≈ ∑H(r)· 2πr∆r.

Taking the limit as ∆r tends to zero,

V = integral of [ 0.116e^(-2.3r) * 2πr ] dr with upper limit of 5 and lower limit of 0.

The term H(r) and Area are not in the same unit. We would convert both to meters.

H(r) = mm = 10^(-3)m

Area = km^2 = km*km

= (10^3)m * (10^3)m = (10^6)m^2

V = integral of [(10^-3m) *  0.116e^(-2.3r) *2πr (10^6m^2) dr] with upper limit of 5 and lower limit of 0.

V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) dr ] with upper limit of 5 and lower limit of 0. Unit in m^3.

Consider this cube with a volume of 64 cubic centimeters. What can be concluded of this cube? Check all that apply. The expression s2, where s represents the side length, was used to solve for the volume. This is a perfect cube. The side length is 8. The side length is 4. Taking the cube root of the volume will determine the side length.

Answers

Answer:

(B)This is a perfect cube.

(D)The side length is 4.

(E)Taking the cube root of the volume will determine the side length.

Step-by-step explanation:

Given a cube with a volume of 64 cubic centimeters.

The following conclusions can be reached:

(B)This is a perfect cube.

64=4 X 4 X4

(D)The side length is 4.

Volume of a Cube =[tex]s^3[/tex]

4 X 4 X4 =64 cubic centimeters.

(E)Taking the cube root of the volume will determine the side length.

[tex]\sqrt[3]{64}=4 cm[/tex]

These are not valid conclusions.

(A)The expression [tex]s^2[/tex], where s represents the side length, was used to solve for the volume.

(C)The side length is 8.

Answers on edugenuity

B

D

E

8(2x-14)+13=4x-27
I need help

Answers

Since

2
1
1
=

1
0
8
−211=−108 is false, there is no solution.

Answer:

12/70

Step-by-step explanation:

expand brackets

16x-112 + 13 = 4x-27

16x - 99 = 4x-27

16x= 4x + 70

12x=70

x = 12/70

Four hundred fifty-six minus two hundred and seventy-eight​

Answers

Answer:

whoa this hard its almost liek you can use a calculator smh

Step-by-step explanation:

Answer:

178

Step-by-step explanation:

456 - 278 = 178

A bakery sold 101 cupcakes in one day. The head baker predicted he would sell 81 cupcakes that day. What was the percent error of the baker's prediction? *

Answers

Answer:

19.8% is the percent error of the baker's prediction.

Step-by-step explanation:

We are given the following in the question:

Total number of cupcakes sold in 1 day = 101

Predicted number of cupcakes sold = 81

We have to find the percent error of the baker's prediction.

Percentage error =

[tex]=\dfrac{\text{Actual value - Predicted value}}{\text{Actual values}}\times 100\%[/tex]

Putting values, we get

[tex]=\dfrac{101-81}{101}\times 100\%\\\\=19.8\%[/tex]

Thus, 19.8% is the percent error of the baker's prediction.

Find the sum of 13/20 and 0.72
Give your answer as a decimal.

Answers

The sum of 13/20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.

How to convert fraction to decimal?

We want to find the sum of ¹³/₂₀ and 0.72

This is expressed as;

¹³/₂₀ + 0.72

Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; ¹³/₂₀ = 0.65

Thus, we now have the decimal expression;

0.65 + 0.72 = 1.37

Thus, we can conclude that the sum of 13/20 and 0.72 when expressed in decimal form gives us 1.37.

Read more about Fraction to decimal at; https://brainly.com/question/1284106

The sum of 13 / 20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.

To find the sum of 13 / 20 and 0.72, we can first convert 13/20 to a decimal by dividing 13 by 20.

This is expressed as;

13 / 20 + 0.72

Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; 13 / 20 = 0.65

Thus, we now have the decimal expression;

0.65 + 0.72 = 1.37

Thus, we can conclude that the sum of 13 / 20 and 0.72 when expressed in decimal form gives us 1.37.

Learn more about Fraction to decimal here

brainly.com/question/1284106

#SPJ3

The slope of the graph of y = -7x is what?

Answers

Answer:

-7

Step-by-step explanation:

In y = mx + c,

m is the slope

m is the coefficient of x

in y = -7x,

m = -7

The radius of the base of a cone is decreasing at a rate of 2 22 centimeters per minute. The height of the cone is fixed at 9 99 centimeters. At a certain instant, the radius is 13 1313 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?

Answers

Answer:

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex] per minute.

Step-by-step explanation:

Given a cone of radius r and perpendicular height h

Volume of the cone, [tex]V=\frac{1}{3}\pi r^2 h[/tex]

Since the height of the cone is fixed, the rate of change of the volume of the Cone, [tex]\frac{dV}{dt}[/tex] is given as:

[tex]V=\frac{1}{3}\pi r^2 h \\\frac{dV}{dt}=\frac{h\pi}{3} \frac{d}{dt} r^2\\\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}[/tex]

We are to determine the rate of change of the Volume, V when:

The radius is decreasing at a rate of 2 cm per minute,  [tex]\frac{dr}{dt} = -2 cm/min[/tex]

Height, h=9 cm

Radius = 13cm

[tex]\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}\\=\frac{2*13*9\pi}{3}* ( -2)\\\frac{dV}{dt}=-156\pi \:cm^3/min[/tex]

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex]  per minute.

smoothie contains 1 banana (B), 4 strawberries (St), 1 container of yogurt (Y), and 3 ice cubes (Ic). Write a balanced equation to describe the relationship. Write a conversion factor to show the relationship between the number of ice cubes and the number of smoothies produced. How many strawberries would you need to make 12 smoothies

Answers

Answer:

Step-by-step explanation:

Step 1: List the known quantities and plan the problem.

Known

have 1 Banana (B)

4 Strawberries (St)

1 Yoghurt (Y)

3 Ice cubes (Ic)

Therefore, the equation for our smoothie is shown below:

B+4St+Y+3Ic→BSt4YIc3

Step 2: Conversion factor to show relationship between ice cubes and smoothie

3Ic = BSt4YIc3 (conversion factor)

Step 3: Number of strawberries required to make 12 smoothies

4St = BSt4YIc3 (conversion factor)

12BSt4YIc3 * (4St/BSt4YIc3) = 48St

Answer:

A ;w ;

Step-by-step explanation:

Did the assignment

During the winter months there is a decrease of between 10 and 30 percent in business which of the following could not be the percent winter business is of the normal business

Answers

Answer: 30

Step-by-step explanation:

Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench Patricia has 15 feet of fabric how many more feet of fabric does she need

Answers

Answer:

24 feet

Step-by-step explanation:

According to the question, Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench

So, she needs 13 yards

converting into feet

1 yard = 3 feet

13 yards x 3 = 39 feet

Now, she already has  15 feet of fabric.

Finding out the difference : 39 - 15= 24 feet

Therefore, she needs 24 feet more of fabric

Answer:

She needs an additional 24 feet of fabric.

Step-by-step explanation:

In order to solve this problem we first need to calculate how many yards of fabric Patricia needs. This will be given by the sum of the fabric needed for the curtains and the fabric required to cover the storage bench. As seen bellow:

required fabric = 10 + 3 = 13 yards

We need to convert this value to feets, so the units are the same. To do that we multiply by 3.

required fabric = 13*3 = 39 feet

To know how many more fabric she needs we have to subtract the required fabric for the task by the total she already has. This is shown bellow:

needed fabric = 39 - 15 = 24 feet

She needs an additional 24 feet of fabric.

Leslie has a rectangular patio. She measures it and finds out it is 2135 feet long by 1115 feet wide. She wants to know how many square feet of tile she will need to completely cover the patio. Draw the patio, and label the measurements. How much tile will Leslie need to cover the patio? If each square foot of tile costs 75 cents, how much will she have to pay to cover her patio?

Answers

Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)

(2) She will have to spend $1,785,393.75 to cover her patio.

Step-by-step explanation: Please refer to the picture attached.

The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;

Area = L x W

Where the length is 2135 and the width is 1115,

Area = 2135 x 1115

Area = 2380525

**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as

Area = L x W

Area = 1 x 1

Area = 1 square foot**

(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.

(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;

Cost = Area x cost per tile

Cost = 2380525 x 0.75

Cost = 1785393.75

The total cost therefore is $1,785,393.75

Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

1. Calculate the area of the patio:

  [tex]\[ \text{Area} = 2135 \times 1115 = 2380025 \text{ square feet} \][/tex]

2. Calculate the total cost of tiles:

[tex]\[ \text{Total cost} = 2380025 \text{ square feet} \times \$0.75/\text{sq ft} = \$1785018.75 \][/tex]

Therefore, Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

20 POINTS PLEASE HELP
Identify a zero of the function x^2+2x-3
a) -3
b) -1
c) 0
d) 2

Answers

Answer:

A

Step-by-step explanation:

Essentially, if we plug in any of the given choices into the function and we get 0, then that's our answer.

A) (-3)^2 + 2 * (-3) - 3 = 9 - 6 - 3 = 0  -  correct

B) (-1)^2 + 2 * (-1) - 3 = 1 - 2 - 3 = -4  -  incorrect

C) 0^2 + 2 * 0 - 3 = -3  -  incorrect

D) 2^2 + 2 * 2 - 3 = 4 + 4 - 3 = 5  -  incorrect

So, the answer is A.

The alternative, more "formal" way of doing this problem is to factor the quadratic: x^2 + 2x - 3 = (x + 3)(x - 1) = 0

Then set each of these equal to 0: x + 3 = 0 and x - 1 = 0

We get the values of x = -3 and x = 1. Only -3 is one of the answer choices, so A is correct.

Hope this helps!

Answer:

a) -3

Step-by-step explanation:

Zero of a function is the x-value where y = 0

x² + 2x - 3 = 0

x² + 3x - x - 3 = 0

x(x + 3) - (x + 3) = 0

(x - 1)(x + 3) = 0

x = 1, -3

Consider the circle above. What is the approximate area of the circle?

Answers

Answer:

The area of a circle is : π (Pi) times the Radius squared : A = π r 2 or, when you know the Diameter: A = (π /4) × D 2 or, when you know the Circumference: A = C 2 / 4 π

2
3
x − 9 − 2x + 2 = 1

Answers

Answer: x = 8

Step-by-step explanation: Solve for the equation x - 9 - 2x + 2 = 1.

Step 1: x - 9 - 2x + 2 = 1

Step 2: x + (-2x) - 9 + 2

Step 3: x - 7 = 1

Step 4: x - 7 + 7 = 1 +7

Step 5: x = 8

Other Questions
Can anybody help me please!! Use the following function rule to find f(1). Select all that are true for the graph that represents the function f(x) = 5(3)" (Day 11) Find the area of each shaded region. Round your answer to thenearest tenths.120 X6 cmcm sq.8 cmcm sq.Pls Help me Jaliyah has a class for cosmetics, for edges, what tool what she use? Is it specificities made for doing her edges?Olivia is doing her eyelashes for the first time... what tool would she use to curl them and how would she apply mascara? Paramecia are heterotrophs. Explain this statement. What is technology?? Thomasson Air uses two measures of activity, flights and passengers, in the cost formulas in its budgets and performance reports. The cost formula for plane operating costs is $36,160 per month plus $2,038 per flight plus $1 per passenger. The company expected its activity in April to be 73 flights and 223 passengers, but the actual activity was 72 flights and 228 passengers. The actual cost for plane operating costs in April was $179,020. The activity variance for plane operating costs in April would be closest to: A)$6,137 U B)$6,137 F C)$2,033 U D)$2,033 F Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random sample of 50 students, she found that 32 students read at least 1 book last month. Assuming all conditions for inference are met, which of the following defines a 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month?a. [tex]32 \pm 1.645\sqrt{\frac{(32)(18)}{50}}[/tex]b. [tex]32 \pm 1.96\sqrt{\frac{(32)(18)}{50}}[/tex]c. [tex]0.64 \pm 1.282\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]d. [tex]0.64 \pm 1.645\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]e. [tex]0.64 \pm 1.96\sqrt{\frac{(0.64)(0.36)}{50}}[/tex] 1. If Aristotle were to watch a commercial about saving money on your electric bill, he would saythe commercial appeals to the consumer's Which situation is most likely to involve the action of a pheromone?a. Albatrosses showing courtship behaviorb. A prairie dog emitting a loud yelpc. The chirping of a cricketd. Urine of a male mouse attracting a femalee. A male collared lizard showing his large mouth A put on Sanders stock with a strike price of $31 is priced at $2 per share, while a call with a strike price of $31 is priced at $2.50. The maximum per-share loss to the writer of an uncovered put is __________, and the maximum per-share gain to the writer of an uncovered call is _________. Amanda wants to sell her old car. she will open a classified ad in the Sacramento Bee. the newspaper charges $42 for the first two lines and $11 dollars each additional line. she buys a three week ad that has four lines. What is Amanda's cost? Create a row vector vA=1:3:34 that has 12 elements. Then, create a new nine-element vector vB from the elements of vA such that the first five elements are the first five elements of the vector vA, and the last four are the last four elements of the vector vA. Use the colon symbol to address a range of elements. (Do not type the elements of the vector vA explicitly.) Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 10 basis points for every 21-basis-point move in the yield on 5-year bonds. You hold a $1.5 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures, which currently have modified duration 9 years and sell at F0 = $70. How many futures contracts should you sell? (Do not round intermediate calculations. Round your final answer to the nearest whole number.) Early in 2018, the Excalibur Company began developing a new software package to be marketed. The project was completed in December 2018 at a cost of $14,000,000. Of this amount, $11,000,000 was spent before technological feasibility was established. Excalibur expects a useful life of five years for the new product with total revenues of $15,000,000. During 2019, revenue of $6,000,000 was recognized. Required: 1. Prepare a journal entry to record the 2018 development costs. 2. Calculate the required amortization for 2019. 3. At what amount should the computer software costs be reported in the December 31, 2019, balance sheet Which word best describes the overall tone of the novel The Secret Garden?spookymiserableboredhopeful A rod equals 5 and one half yards. If a bridge is 770 yards long, how long is it in rods? Darlington Inc., permits any of its employees to buy shares directly from the company. There are no brokerage fees and shares can be purchased at a 10% discount. During May, employees purchased 14,000 shares at a time when the market price of the shares was $10 per share. Prepare the appropriate journal entry for the May purchase. ( Nitrogen is a very important element in biology. What are some of the reasons that organisms need nitrogen?