PLEASE HELP!!!! How many moles of helium are needed to fill a balloon to a volume of 4.9 at 296°K and 0.78 atm?

Answers

Answer 1

Answer:

THE NUMBER OF MOLES OF HELIUM NEEDED TO FILL A BALLOON AT A VOLUME OF 4.9 L AT 296 K AND 0.78 atm IS 0.00338 moles.

Explanation:

The number of moles is calculated using

PV = nRT

P = Pressure = 0.78 atm

V = volume = 4.9 L

R = gas constant = 0.082 Latm/molK

T = temperature = 296 K

n= number of moles

Substituting theses values and sloving for n, we obtain;

n = PV / RT

n = 0.78 * 4.9 / 0.082 * 296

n = 3.822 / 24.272

n = 0.00338 moles.

So therefore, the number of moles is 0.00338 moles.

Answer 2

Answer:

The number of moles of helium needed is 0.157 moles helium

Explanation:

Step 1: Data given

Volume of the balloon = 4.9 L

Temperature= 296 K

Pressure = 0.78 atm

Step 2: Calculate moles of helium gas

p*V = n*R*T

⇒with p = the pressure = 0.78 atm

⇒with V = the volume = 4.9 L

⇒with n = the number of moles of the helium gas = TO BE DETERMINED

⇒with R = the gas constant = 0.08206 L*atm/mol* K

with T = the temperature = 296 K

n = (p*V) / (R*T)

n = (0.78 atm* 4.9 L) / (0.08206 L*atm/mol*K * 296 K)

n = 0.157 moles of helium

The number of moles of helium needed is 0.157 moles helium


Related Questions

What are 3 stages of the water cycle are

Answers

Evaporation,condensation, and precipitation.

A polymer coating of 6:0 mm thickness is cast onto a nonporous flat surface. The coating contains a residual amount of casting solvent, which is uniform at 1.0 wt% within the coating. The mass transfer of solvent through the polymer coating is controlled by molecular diffusion. The air flowing over the coating surface eliminates convective mass-transfer resistances and reduces the solvent vapor concentration in the air to nearly zero. The effective diffusion coefficient of the solvent molecules in the polymer is 2 x 10^-6 cm^2/s.
a. How many hours will it take for the solvent concentration at 1.2 mm from the surface to be reduced to 0.035 wt%?

Answers

Answer:

vent vapor concentration in the air to nearly zero. The effective diffusion coefficient of the solvent molecules in the polymer is 2 x 10^-6 cm^2/s

Explanation:

Which pigment is responsible for grey hair?
A
Eumelanin
В
Pheomelanin
с
Both Eumelanin and Pheomelanin
D
No pigment
3 of 10

Answers

Answer:

No pigment.

Explanation:

Pigment makes color, and hair loses color when it loses pigment.

The image shows two different species. the image is a dog and a lizered
Which is a shared characteristic of these two species?
tail
scales
hair
body shape

Answers

Answer:

the tail

Explanation:

Answer:

A.) tails

Explanation:

After 56.0 min, 40.0% of a compound has decomposed. What is the half‑life of this reaction assuming first‑order kinetics?

Answers

Answer:

Go ahead and plug in the percentages and time to find the answer.

Explanation:

The amount of a substance with half-life h, that remains after time t is 0.5t/h

 

Since 26% has decomposed, 74% remains.

 

So .74 = 0.580/h

 

ln .74 = (80/h) ln 0.5

 

h/80 = ln 0.5 / ln .74

 

h = 80 ln 0.5 / ln .74

 

h = 184.16 minutes

Nitrogen gas was collected by water displacement. What was the pressure of the N2 collected if the temperature was 50 degrees celcius?

Answers

Answer:

Explanation:

Atmospheric pressure = 101.325 kPa

vapor pressure of water at 50°C = 12.332 kPa

pressure of N₂ = (Atmospheric pressure) - (vapor pressure of water at 50 oC)

pressure of N₂ = (101.325 kPa) - (12.332 kPa)

pressure of N₂ = 88.993 kPa

Therefore, the pressure of the N₂ collected if the temperature was 50 degrees celcius is 88.993 kPa

A student wants to examine a substance without changing its identity. Which of the following properties should the student examine?

Answers

Answer:

A. Ductility, because it can be observed by altering the shape of the substance  

Explanation:

Changing the shape of a substance does not change its identity.

 

cis-1-Bromo-4-tert-butylcyclohexane and trans-1-bromo-4-tert-butylcyclohexane both react with sodium ethoxide in ethanol to form 4-tert-butylcyclohexene. Explain why the cis isomer reacts much more rapidly than the trans isomer. Match the words in the left column to the appropriate blanks in the sentences on the right. Make certain each sentence is complete before submitting your answer.

Answers

Answer:

See explanation below

Explanation:

In order to explain this, is neccesary to draw both confomers, the cis and trans, but in the chair conformation, because in that way we can see much better the bonds and the reason of why the cis reacts faster than trans.

As you can see in picture attached, the more stable conformer is the one where the H and Br are in the axial position, and the tert butyl group in equatorial position. In these positions, the cis isomer can undergo an E2 reaction, and the ethoxide would have no problem to substract the hydrogen atom from the molecule to eliminate the Bromide. This is because the t-butyl group in equatorial position, is not exerting steric hindrance, therefore is faster.

In the case of the trans, the t-butyl group is in the axial position as well as the hydrogen and bromide, therefore, when the E2 reaction undergoes, the hydrogen is substracted by ethoxide, but it will be slow because the t.butyl group exerts steric hindrance in the axial positions, therefore, the hydrogen will be substracted slower than in the cis position. This is the main reason for the cis to be faster.

As for the second part of the question, which will be the answer of the whole question, see picture attached 2 for the whole sentence, and the match of the words is the following:

1. Axial

2. More

3. Blank (No word there)

4. less

5. Blank

6. Cis

7. Trans

8. Cis

40 POINTS!
Answer correctly for full 40!

Answers

Answer:

A. cell wall

Explanation:

A cell wall is rigid and is the outermost layer. It also shapes the cell.

A cell membrane is the inner portion of the cell wall and very flexible, not rigid.

The nucleus is not a membrane, it is the center of cell containing genetic information.

The mitochondria is within the cell and it known as the "powerhouse" of the cell.

- Hope that helps! Please let me know if you need further explanation.

Answer:

Jesus loves you

A compound A (C22H27NO) is insoluble in acid and base but reacts with concentrated aqueous HCl and heat to give a clear aqueous solution from which, on cooling, benzoic acid precipitates. When the supernatant solution is made basic, a liquid B separates. Compound B is achiral. Treatment of B with benzoyl chloride in pyridine gives back A. Evolution of gas is not observed when B is treated with an aqueous solution of NaNO2 and HCl. Treatment of B with excess CH3I, then aqueous Ag2O and heat, gives a compound C, C9H19N, plus styrene, C6H5–CH=CH2. Compound C, when treated with excess CH3I, then aqueous Ag2O and heat, gives a single alkene D that is identical to the compound obtained when cyclohexanone is treated with the ylid –:CH2– PPh3. Give the structure of A.

Answers

Answer:

See explaination

Explanation:

Please kindly check attachment for the step by step solution of the given problem

In a titration, 100 mL of 0.026 M HCl (aq) is neutralized by 13 mL of KOH(aq). Calculate the molarity of KOH (aq).

Answers

Answer:

0.2M

Explanation:

Step 1:

Data obtained from the question.

Volume of acid (Va) = 100mL

Molarity of the acid (Ma) = 0.026 M

Volume of base (Vb) = 13mL

Molarity of the base (Mb) =..?

Step 2:

The balanced equation for the reaction. This is given below:

HCl + KOH —> KCl + H2O

From the balanced equation above,

The mole ratio of the acid (nA) = 1

The mole ratio of the base (nB) = 1

Step 3:

Determination of the molarity of the base, KOH. This can be obtained as follow:

MaVa/MbVb = nA/nB

0.026 x100 / Mb x 13 = 1

Cross multiply to express in linear form

Mb x 13 = 0.026 x 100

Divide both side by 13

Mb = 0.026 x 100 / 13

Mb = 0.2M

Therefore, the molarity of the base, KOH is 0.2M

Answer:

0.2M

Explanation:

KOH(aq) + HCl(aq) ⇒  KCl(aq) + H2O(l)

We express the moles of analyte (HCl) and titrant based (KOH) on their molar concentration:

M1 * V1 = M2 * V2

The molarity of the solution is calculated with the following equation:

M2 = V1 x M1 / ​​V2

Where:

V2 = valued sample volume

V1 = volume of titrant consumed (measured with the burette)

M1 = concentration of titrant solution

M2 = concentration of sample

M2 = 100mL * 0.026M / 13mL = 0.2M

Plants remove carbon to the atmosphere during

Answers

Answer:

respiration

Explanation:

Plants give out carbon dioxide not only at night but during the day too. It happens because of the process of respiration in which plants take in oxygen and give out carbon dioxide. As soon as the sun rises another process called photosynthesis starts, in which carbon dioxide is taken in and oxygen is given out.

Plants use photosynthesis to capture carbon dioxide and then release half of it into the atmosphere through respiration. Plants also release oxygen into the atmosphere through photosynthesis

Ascorbic acid (H2C6H6O6), also known as Vitamin C, is a polyprotic acid found in fruit, tomatoes, potatoes and leafy vegetables. The pKa's of the ascorbic acid are pKa1 = 4.10 and pKa2 = 11.80 at 25 °C. When ascorbic acid is titrated with NaOH and it takes 60.0 mL to remove all protons possible. In the titration curve, how many mL of NaOH are required to reach the first pKa? Another way of asking this is when presented with a titration curve of ascorbic acid where on the x-axis should one look (which volume of NaOH), if one wants to determine the first pKa?

Answers

Answer:

as when we add 60 ml it removes all the protons it means it is 2nd equivalence point of Ascorbic acid

and we know that pH = pKa1 when moles of NaOH is half of the 1st equivalence point

1st equivalence point = 2nd equivalence point / 2 = 60/2 =30ml

1st half equivalence point = 30/2 = 15ml

so when we add 15ml of NaOH

pH = pKa1 =15mL

A reaction starts with 20.0 g of lithium hydroxide (LiOH) and actually produces 31.0 g of lithium chloride (LiCl), what is the percent yield? (Hint: First calculate the theoretical yield of lithium chloride (LiCl))

64.5%
88.6%
81.5%
92.8%

Answers

Answer:

87.6 %

Explanation:

Step 1: Write the balanced equation

LiOH + KCl ⇒ LiCl + KOH

Step 2: Calculate the theoretical yield of LiCl

We will use the following relations:

The molar mass of LiOH is 23.95 g/mol.The molar ratio of LiOH to LiCl is 1:1.The molar mass of LiCl is 42.39 g/mol.

The theoretical yield of LiCl from 20.0 g of LiOH is:

[tex]20.0gLiOH \times \frac{1molLiOH}{23.95gLiOH} \times \frac{1molLiCl}{1molLiOH} \times \frac{42.39gLiCl}{1molLiCl} = 35.4gLiCl[/tex]

Step 3: Calculate the percent yield of LiCl.

We will use the following expression.

[tex]\%yield = \frac{real\ yield}{theoretical\ yield} \times 100\% = \frac{31.0g}{35.4g} \times 100\% = 87.6 \%[/tex]

Answer:

88.6%

Explanation:

Hello,

In this case, considering the given reaction, we notice a 1:1 molar relationship between lithium hydroxide (molar mass=23.95 g/mol) and lithium chloride (molar mass=42.394 g/mol), for that reason, we are able to compute the theoretical yield of lithium chloride by stoichiometry:

[tex]m_{LiCl}^{theoretical}=20.0gLiOH*\frac{1molLiOH}{23.95gLiOH}*\frac{1molLiCl}{1molLiOH} *\frac{42.394 gLiCl}{1molLiCl}=35.4gLiCl[/tex]

Next, by knowing the actual yield of 31.0 g, we compute the percent yield as:

[tex]Y=\frac{m_{LiCl}^{actual}}{m_{LiCl}^{theoretical}} *100\%=\frac{31.0g}{35.4g}*100\%\\ \\Y=87.6\%[/tex]

Therefore, among the given, the answer should be 88.6%

Best regards.

If you start with 64g of a radioactive element how many half-lives would occur before 8g remain?

Answers

Answer:

3 half-lives

Explanation:

The half-life is the time that it takes to a radioactive element to decay to half of its initial amount.

Let's suppose we start with 64 g of the radioactive element.

After 1 half-life, the mass of the element will be 32 g.After 2 half-lives, the mass of the element will be 16 g.After 3 half-lives, the mass of the element will be 8 g.

What parts of the body are tested for rigor Mortis

Answers

Face and hands are tested for such smallest muscles and then extends to the limb muscles
Most muscles are affected and in the neck,eyelids, and jaw. a few hours you could potentially die.

How do you calculate the number of protons, neutrons, and electrons in an element?

Answers

Answer:

The first thing you will need to do is find some information about your element. Go to the Periodic Table of Elements and click on your element. If it makes things easier, you can select your element from an alphabetical listing.

Number of Protons = Atomic Number

Number of Electrons = Number of Protons = Atomic Number

Number of Neutrons = Mass Number - Atomic Number

For krypton:

Number of Protons = Atomic Number = 36

Number of Electrons = Number of Protons = Atomic Number = 36

Number of Neutrons = Mass Number - Atomic Number = 84 - 36 = 48

Explanation:

hope this helps, have a good day :-)

6. Find the partial pressures of the gases in a mixture with a total pressure of 101.3 kPa, if there are 7.8 mole of
Ng, 2.1 mole of 0, 0.090 mole of Ar, and 0.010 mol of Co,
3:20
5/10/2
19
110
112
Pause
break
16
X
14
&
*
A
%
7
9
5
6
O
8
4
{
о
Р

Answers

Answer:

Explanation:

Total mole of gases = 7.8 + 2.1 + .09 + .01 = 10

the partial pressures of the gases in a mixture

= mole fraction x Total pressure

mole fraction = mole of a gas in the mixture  / total mole

partial pressure of Ng = [tex]\frac{7.8}{10} \times 101.3 kPa[/tex]

= 79.014 kPa

partial pressure of O = [tex]\frac{2.1}{10} \times 101.3 kPa[/tex]

= 21.273 kPa .

partial pressure of  Ar = [tex]\frac{.09}{10} \times 101.3 kPa[/tex]

= .9117 kPa .

partial pressure of  Co = [tex]\frac{.01}{10} \times 101.3 kPa[/tex]

= .1013 k Pa .

A student conducts an experiment to see how music affects plant growth. The student obtains four identical plants. Each one is potted in the same type of soil and receives the
same amount of sunlight and water each day. Plant A listens to classical music for three hours each day. Plant B listens to rock music for three hours each day. Plant C listens to
country music for three hours each day. Plant D does not listen to any music at all.

2. Based on the experiment in the scenario, which visual aid would be most helpful in showing the change in the plants' heights over time?
O A. A timeline
OB. A line graph
OC. A pie chart
D. A bar graph

Answers

Answer:

The type of music each plant listens to.

Explanation:

A variable is any factor or condition whose value is changing in an experiment. A variable can occur in different types or quantity, and three types of variable (independent, dependent, and controlled) can be found in an experiment. In the experiment described above, "the type of music each plant listens to" is the variable. It is an independent variable whose value is changing because it exists in different types and it is the one that the student is observing its effect on the plant’s growth. In this experiment, this variable which differ will also produce different results (or effects).

Light brings many chemical changes. Can you think of any chemical change brought about by light? ​

Answers

Answer:

MRCORRECT has answered the question

Explanation:

Film photography is another example ofchemical reaction by light. In this example, the chemical compounds coated on the film go through a chemical reaction. ... These plates (usually made of aluminum) are coated with a photosensitive compound consisting of a polymer and a photosensitivechemical system.

If the mole fraction of Na2S in an aqueous solution is 0.125,
what is the weight/weight %
(percent by mass) of Na2S?

Answers

Answer:

Explanation:

Hello,

In this case the molar fraction of sodium sulfide, whose molar mass is 78 g/mol, is 0.125, it means we have 0.125 moles of sodium sulfide per mole of solution, so we compute the mass of sodium sulfide and water as shown below:

[tex]m_{Na_2S}=0.125mol*\frac{78gNa_2S}{1molNa_2S} =9.75 gNa_2S\\\\m_{H_2O}=(1-0.125)molH_2O*\frac{18gH_2O}{1molH_2O} =15.75gH_2O[/tex]

Then, we can calculate the eight/weight % as follows:

[tex]w/w \%=\frac{9.75g}{9.75g+15.75g}*100\% \\\\w/w \%=38\%[/tex]

Regards.

Answer: 38

Explanation:

A certain element X has four isotopes. 5.845% of X has a mass of 53.93961 amu. 91.75% of X has a mass of 55.93494 amu. 2.123% of X has a mass of 56.93539 amu. 0.2820% of X has a mass of 57.93328 amu. What is the average atomic mass of element X? Express your answer numerically to four significant figures.

Answers

Answer:

Average atomic mass of element X is 56.19 amu

Explanation:

Given:

Four isotopes of X:

5.845% of X has a mass of 53.93961 amu.

91.75% of X has a mass of 55.93494 amu.

2.123% of X has a mass of 56.93539 amu.

0.2820% of X has a mass of 57.93328 amu.

To find: average atomic mass of element X

Solution:

Isotopes are variants of a particular chemical element such that they have the same number of protons but different number of neutrons.

Average atomic mass of element X = [tex]\frac{53.93961+55.93494+56.93539+57.93328}{4}=\frac{224.74322}{4}=56.185805\approx 56.19[/tex]

So, the average atomic mass of element X is 56.19 amu.

please help! BRAINLIEST to right answerrrr

Answers

Answer: from the hotter surface to the colder one

Explanation:

Answer:d

d

Explanation:

A chemist wants to increase the solubility of a solid in water. Which of the
following will NOT help? *
-increase the temperature
-decrease the particle size
-Increase stirring
-increase pressure

Answers

Answer:

- Increase pressure .

Explanation:

Hello,

In this case, during the dissolution process, the solute's molecules rearrange in order to get together with the solvent's molecules, in this case water.

Now, since we are talking about a solid whose particles are intimately held together, the only way to separate them is by increasing the temperature because the molecules start moving so they can join water's molecules, decreasing particle size since they will be more likely to separate to each other and increasing stirring since the applied energy will break the solid's intramolecular forces.

In such a way, since pressure significantly affects gases and slightly affects liquid, it is not able to modify a solid, just extreme pressures such as it needed to produce diamonds, is able to affect a solid. For that reason, increasing the pressure will not increase the solid's solubility.

Best regards.

A 125 g sample of strontium was heated from 0°C to 20°C. It absorbed 750 J of energy. What is the specific heat capacity of iron?

Answers

Answer:

Specific heat capacity of iron (C) = 0.3 J/GK

Explanation:

Given:

Mass of sample (m) = 125 gram

Change in heat (ΔT) = 20°C - 0°C = 20°C

Absorbed energy (ΔE) = 750 J

Find:

Specific heat capacity of iron (C) = ?

Computation:

⇒ Specific heat capacity of iron (C) = ΔE / [mΔT]

⇒ Specific heat capacity of iron (C) = 750 / [125 × 20]

⇒ Specific heat capacity of iron (C) = 750 / [2,500]

⇒ Specific heat capacity of iron (C) = 0.3 J/GK

Answer:

Specific heat capacity of iron (C) [tex]= 0.3[/tex] J/g°C

Explanation:

As we know that

Specific heat capacity of iron (C) [tex]=\frac{\delta E}{ [m* \delta T]}[/tex]

Where [tex]\delta E[/tex] represents the change in the energy

m represents the mass of the sample and

[tex]\delta T[/tex] represents the change in temperature.

Given:

Mass of sample (m) [tex]= 125[/tex] gram

Change in heat ([tex]\delta T[/tex] ) [tex]20 - 0 = 20[/tex]

Absorbed energy ([tex]\delta E[/tex])[tex]= 750[/tex] J

Substituting the given values in above equation, we get -

Specific heat capacity of iron (C)

[tex]= \frac{750}{125*20}[/tex]

Specific heat capacity of iron (C) [tex]= 0.3[/tex] J/g°C

) A concentration cell is based on the aqueous reaction
Cu2+(1.00 M)  Cu2+(0.0100 M)
The cell consists of copper electrodes dipping into solutions of Cu2+ ions. The anions present are sulfate ions. Draw a neat diagram to represent this cell, showing and labeling all necessary components including: anode, cathode, electron flow, cation flow and anion flow.

Answers

Answer:

Kindly check the attachment for the diagram representing the cell and showing all necessary components including: anode, cathode, electron flow, cation flow and anion flow.

Explanation:

So, the reaction in the concentration cell is given below as;

Cu2+(1.00 M) → Cu2+(0.0100 M).--(1).

The anode = Cu2+(0.0100 M) because it has lesser Concentration, thus, lesser potential value.

Cathode = Cu2+(1.00 M) because it has higher Concentration, hence higher potential value.

It must be noted that in the digaram depicting the Reaction, the electrons moves from the anode part of the cell to the cathode part of the cell and this is done through an external circuit. The following are the things that happens at each electrode;

At the Anode: in here is where oxidation occurs and Cu^2+ is released into the solution.

At the cathode: in here is where the reduction occur and the Cu^2+ moves in the direction to where the Cu electrode is, thus, causing the deposition of Cu.

If an insufficient amount of liquid unknown had been used, how would this have effected the value of the experimental molar mass

Answers

Answer:

Actual yield reduces the more.

Explanation:

An actual yield of the course of a chemical reaction is the mass of a product actually obtained from the reaction.

In practice you see it and It is usually less than the theoretical yield.

Various reasons may come up to explain this away but here is one:

• incomplete reactions, simply put here some of the reactants do not react to form the product.

The same applies in the question about the actual yield will reduce significantly in molar mass now that insufficient amount of reagent are used.

What is a noble gas electron configuration of bismuth?

Answers

Answer:

It is [Xe] 4f14 5d10 6s2 6p3 and its atomic number is 83

Which shows an isomer of the molecule below?

Answers

Answer:

D

Explanation:

An isomer is a molecule with the same number of atoms as another compound, but they differ in arrangement of the atoms.

Answer:

D

Explanation:

A P E X

The temperature of a 350. mL sample of gas increases from 27 °C to 227 °C. What is the final volume of the sample of gas, if the pressure and amount of gas in the container is kept constant?
Group of answer choices

Answers

Answer:

[tex]V_2=583.3mL[/tex]

Explanation:

Hello,

In this case, for the given constant amount and pressure of the, we apply the Charles' law which allows us to understand the volume-pressure behavior as a directly proportional relationship:

[tex]\frac{V_1}{T_1} =\frac{V_2}{T_2}[/tex]

Thus, since we need to compute the volume after the temperature increase (which must be expressed in absolute Kelvins), we obtain V2 as:

[tex]V_2=\frac{V_1T_2}{T_1} =\frac{350.0mL*(227+273.15)K}{(27+273.15)K}\\ \\V_2=583.3mL[/tex]

Best regards.

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WILL GIVE BRAINLIEST PLEASE HELP ME A lot of pointsDUE TODAY Which sentence from the passage above gives something a human quality? A. I can see that my family will have a huge mess to clean up. . . B. I guess my dad will need to seal those up once the storm passes. C. The house is standing its ground against the wind's force. D. Climbing out of bed, I go to the window to look outside. is the MLK Letter From Birmingham Jail historical or literary significance? help please and thank you:) What is the root word of illuminate? Did Alfred Crosby (the writer of a famous book about the Columbian Exchange) think the Columbian Exchange was good or bad? Why? what is the value of x in the equation-2/9x+9=4/3x-3 i need help as soon as possible im taking a unit test Describe the cycle that Buck experienced from being a king, to being kidnapped, to returning to a king. Why was Buck able to rise to the challenge and master each situation? (The call of the wild by Jack London.) How long have there been unions or similar forms of worker organization?(a) Since the different craftspeople built Noah's ark(b) Since the time of the great Egyptian pyramids(c) Since the brewers and weavers in the Middle Ages(d) Since railroads were built in the nineteenth century(e) Since the sit-down strikes of the 1930s Drake Corporation is reviewing an investment proposal. The initial cost and estimates of the book value of the investment at the end of each year, the net cash flows for each year, and the net income for each year are presented in the schedule below. All cash flows are assumed to take place at the end of the year. The salvage value of the investment at the end of each year is equal to its book value. There would be no salvage value at the end of the investment's life. Investment Proposal Year Initial Cost and Book Value Annual Cash Flows Annual Net Income 0 $104,500 1 69,600 $44,000 $9,100 2 41,900 39,500 11,800 3 21,600 35,900 15,600 4 8,300 31,000 17,700 5 0 25,400 17,100 Drake Corporation uses an 11% target rate of return for new investment proposals. (a) What is the cash payback period for this proposal? (Round answer to 2 decimal places, e.g. 10.50.) Cash payback period (b) What is the annual rate of return for the investment? (Round answer to 2 decimal places, e.g. 10.50.) Annual rate of return for the investment %(c) What is the net present value of the investment? (If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). Round answer to 0 decimal places, e.g. 125.) A flagpole casts a shadow that is 21m long when the angle between the suns ray and the ground is 48. Determine the height of the flagpole to the nearest metre Please help WILL GIVE BRAINLIEST Granite Enterprises acquired a patent from Southern Research Corporation on January 1, 2021, for $3.4 million. The patent will be used for five years, even though its legal life is 20 years. Rocky Corporation has made a commitment to purchase the patent from Granite for $110,000 at the end of five years. Compute Granite's patent amortization for 2021, assuming the straight-line method is used State the slope and y-intercept of the graph of the equation y = 3x + 2The slope is _________.The y-intercept is ____________- I need help in fractions Describe the strategy of Grant to win the war for the Union. (2) In the expression, 5x^2 + 6 the "5" is called aOConstantTermO ExponentO coefficient Which of the following religions was embraced by Emperor Ashoka (also known as Ashoka the Great)? Simplify over the set of complex numbers sqrt(- 1) Is (A) correct or no????