An amount P is deposited now so that an equal annual amount of A1=2000 per year for the first 5 years, starting 1year after the deposit. And a different annual withdrawal of A2= 3000 per year for the following 3 years. Draw the cash flow diagram if i=8.5% per year.

Answers

Answer 1

Based on the amounts to be withdrawn over the years and the interest rate, the amount deposited now is $12,977.

How much is deposited now?

This can be found as:
= (2,000 x Present value of annuity interest factor, 8.5%, 5 years) + (3,000 x Present value of annuity interest factor, 8.5%, 8 years) - (P/A, 8.5%,  5 years)

= (2,000 x 3.9406) + (3,000 x (5.6392 - 3.94064))

= $12,977

The cashflow diagram is attached.

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An Amount P Is Deposited Now So That An Equal Annual Amount Of A1=2000 Per Year For The First 5 Years,

Related Questions

A farmer has 12 hectares of land on which he grows corn, wheat, and soybeans. It costs $4500 per hectare to grow corn, $6000 to grow wheat, and $5000 to grow soybeans. Because of market demand the farmer will grow twice as many hectares of wheat as corn. He has allocated $6,375,000.00 for the cost of growing his crops. How many hectares of each crop should he plant?

Answers

The number of hectares of each crop he should plant are; 250 hectares of Corn, 500 hectares of Wheat and 450 hectares of soybeans

How to solve algebra word problem?

He grows corn, wheat and soya beans on the farm of 1200 hectares. Thus;

C + W + S = 12   ----(1)

It costs $45 per hectare to grow corn, $60 to grow wheat, and $50 to grow soybeans. Thus;

45C + 60W + 50S = 63750  -----(2)

He will grow twice as many hectares of wheat as corn. Thus;

W = 2C    ------(3)

Put 2C for W in eq 1 and eq 2 to get;

C + 2C + S = 1200

3C + S = 1200     -----(4)

45C + 60(2C) + 50S = 63750

45C + 120C + 50S = 63750

165C + 50S = 63750    ------(5)

Solving eq 4 and 5 simultaneosly gives;

C = 250 and W = 500

Thus; S = 1200 - 3(250)

S = 450

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How can the use of local materials improve the standard of living of Filipinos?

Answers

Choose a quality one, and don't use it as necessary

Assume you have four fins, each with a mass of 8. 0 grams. What is the total weight of these four fins? (Hint: watch your units!) PLEASE HELP ASAP! I have a 0% in this class

Answers

Answer:

0.314 kg

Explanation:

[tex]\frac{8}{1000}[/tex] x 4 x 9.81

Answer:

.3139  joules

Explanation:

Weight in the metric system is   ma

 you have 4 fins that have MASS of 8 grams each

    or   32 grams   which is .032 kg

WEIGHT  would be   .032 kg * 9.81 m/s^2 = .31392 j

A(n) ______ is used to measure fluid flow in engineering

Answers

Answer:

A pitot tube is used to measure fluid flow in engineering

A gaseous mixture contain 32.9 mol % He, 40.7 mol % N_{2} and 26.4 mol % Ar. Determine the composition of this mixture on a mass basis based on the molecular weight given: MW(He) = 4.003 , MW (N_{2}) = 28.02 MW(Ar) = 39.95​

Answers

The composition of the mixture on a mass basis are as follows:

He = 131.70 gN2 = 1140.41 gAr = 1054.68 g

number of moles = mass of substnce / molar mass

molar mass and molecular weight has equal numerical values therefore

Number of moles = mass of substnce / molecular weight

mass of substance = number of moles * molecular weight

the moles are expressed in percentage hence the total moles should be 100

check: 32.9 + 40.7 + 26.4 = 100

He

mass of substance = 32.9 * 4.003 = 131.6987 g

[tex]N_{2}[/tex]

mass of substance = 40.7 * 28.02 = 1140.414 g

Ar

mass of substance = 26.4 * 39.95 = 1054.68 g

project engineer
planning engineer
chief engineer
field engineer
office engineer
heads the engineering department and
ensures that it operates smoothly
performs administrative work to ensure
projects comply with engineering codes
and standards
performs a variety of onsite tasks, such
as supervision and equipment installation
m. All rights reserved

Answers

Explanation:

1)Chief Engineer

2)Project Engineer

3)Field Engineer

I hope it helped you

Which factor has the most significant impact in design?
a.
architectural design
b.
climate
c.
function
d.
cost

Answers

D) cost


The fund available for a project is the first factor to be considered to ensure that the project comes to reality and serve it’s purpose

Answer:

Function

Explanation:

Plato

What is txv to hvac parts and etc???

Answers

Answer:

This is for all hvac parts lol

Answer:

Units larger than a terabyte include a petabyte, exabyte, zettabyte, yottabyte and brontob

Please help me with this question

Answers

Answer:

  4.2

Explanation:

The "allowance" is the difference between the maximum shaft size and the minimum hole size.

maximum shaft = C +D = 8.5 +0.1 = 8.6

minimum hole = A -B = 4.8 -0.4 = 4.4

Allowance = 8.6 -4.4 = 4.2

__

For an interference fit, the allowance is negative.

What action control to move the rudder from one point to the other?

Answers

The action control to move the rudder from one point to the other is doen when The rudder, when turned to starboard, produce a force that is towards the port (called the rudder force).

What controls the rudder of a ship?

In a vessel or ship, found in small craft, the rudder is known to be operated manually through the use of a handle that is called a tiller or helm.

In a bigger vessels, the rudder is known to be turned through the use of an hydraulic, steam, or electrical machinery. The first type of rudder was side to be a paddle or oar.

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The PCV valve controls which emissions?

Answers

Answer:

The PCV reduces blowby emissions from the engine.

Design an algorithm for computing √n

for any positive integer n. Besides
assignment and comparison, your algorithm may only use the four basic
arithmetical operations.

Answers

Positive integer n design an algorithm

Find the magnitude of the two pulling forces P and Q when their resultant is 50 N at 20° with Q. P 20°​

Answers

Two forces P and Q whose resultant is 10Newton are at right angles to each other. If P makes 30 degrees with resultant.Show me the workings of the magnitude of Q in Newton and the diagram of the vectors.

What should you do when operating in conditions of reduced visibility.

Answers

Answer:

You shold wear Gogles

Explanation:

It is harder to see with no gogles

When operating in low-visibility situations, it is critical to take necessary precautions to preserve safety and retain situational awareness. When operating in low-visibility situations, it is critical to take necessary precautions to preserve safety and retain situational awareness.

Slow down: Reduce your speed to compensate for decreased vision. This provides you with additional time to respond to unanticipated obstructions or threats. Increase your following distance by leaving a bigger gap between your car and the vehicle ahead of you. This acts as a buffer zone and allows for more stopping distance.

Turn on your headlights and fog lights, even during the day, to improve visibility for yourself and other vehicles. Use fog lights if your car has them, as they are meant to penetrate fog and provide improved illumination. Use windscreen wipers and defrosters: Make sure your windscreen wipers are in good working order and that the appropriate speed setting is used to keep the windscreen clear. To prevent window fogging, turn on the defroster if necessary.

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Which of the following is an example of a hardwood? A maple B spruce C pine D fir

Answers

Answer:

A. Maple

Explanation:

Maple is a hardwood.

Hope that helps!

the engine needs a free flow of clean air to operate correctly and with low emissions. True or False

Answers

Answer:

true

Explanation:

An electrochemical cell is composed of pure copper and pure cadmium electrodes immersed in solutions of their respective divalent ions. For a 6.5 × 10-2 M concentration of Cd2+, the cadmium electrode is oxidized, yielding a cell potential of 0.775 V. Calculate the concentration of Cu2+ ions if the temperature is 25°C.

Answers

From the calcuation, the concentration of the copper II ion is 0.98 M.

What is an electrochemical cell?

An electrochemical cell is one in which current is produced by means of a chemical reaction. In this cell, the cell reaction is;

Cd(s) + Cu^2+(aq) ----> Cd^2+(aq) + Cu(s)

E°cell = 0.34 V - (-0.40V) = 0.74 V

Using the Nernst equation;

0.775= 0.74 - 0.0592/2 log(6.5 × 10-2)/[Cu^2+]

0.775 - 0.74 =  - 0.0592/2 log(6.5 × 10-2)/[Cu^2+]

0.035 = -0.0296 log(6.5 × 10-2)/[Cu^2+]

0.035 /-0.0296 = log(6.5 × 10-2)/[Cu^2+]

-1.18 =  log(6.5 × 10-2)/[Cu^2+]

Antilog (-1.18) = (6.5 × 10-2)/[Cu^2+]

0.066= (6.5 × 10-2)/[Cu^2+]

[Cu^2+] =  (6.5 × 10-2)/0.066

[Cu^2+] =0.98 M

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Briefly explain the four (4) main classification of rural latrine in Ghana and give example each.​

Answers

Answer:

Temporally pit latrine ,improved latrine,ordinary latrine

Explanation:

l think the temporally latrine are used for camp ,vacation. improved latrine are at home for those who can afford. an ordinary latrine is used by people who can not afford money for removing fieces in the improved or temporally latrine

A company intends to market a new product and it estimates that there is a 20% chance that it will be first in the market

and this will give 2 million dollar revenue in its first year. However, if it is not the first in the market it will only be .5 million.

What is the EMV?

Answers

The EMV - Ending Market Value is given as:
$2,400,000.

How is the EMV Arrived At?

The EMV is given as:

BMV x (i + r); Where

BMV is the Beginning Market Value; and

r is the interest rateor percentage given.

Hence the EMV = 2,000,000 x ( 1 + 20%)

= 2,000,000 x 1.2

= $ 2, 400,000.

It is to be noted that the BMV is the Beginning Market Value which is the value of an investment at the start of the business period.

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Which of the following elements would make a good insulator?
a. Silver
b. Silicon
C. Glass
d. Both a and b.

Answers

Answer:

Glass

Explanation:

Please mark me the brilliant

Describe why the motion of a follower acted on by a cam is periodic motion.

Answers

When you go and use a periodic motion there a reason

A liquid jet vj of diameter dj strikes a fixed cone and deflects back as a conical sheet at the same velocity. find the cone angle θ for which the restraining force f = (3/2)rhoajvj^2 .

Answers

Answer:

lol i cant real it sorry

Explanation:

7. If you can't ignore a distraction, what should you do?
A. Take care of it at your next planned stop
B. Pull over
C. Take no more than five seconds to handle it (tune radio, answer text, etc.)
D. Both A and B

Answers

If you can't ignore a distraction, as a driver you should: D. Both A and B.

What is a distraction?

A distraction can be defined as any form of event that is capable of making a driver to loose concentration or lure his or her eyes away from the road.

This ultimately implies that, a distraction can cause a driver to experience a road accident (car crash) if not properly managed or ignored.

In conclusion, if you can't ignore a distraction, as a driver you should pull over or take care of it at your next planned stop.

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Which of the following is NOT associated with Urban Sprawl?

Answers

The option that is not associated with the given term called urban sprawl is; Option A: Blocking high views

What is Urban Sprawl?

Urban sprawl is defined as the rapid expansion of the geographic boundaries of towns and cities which is often accompanied by low-density residential housing and increased reliance on the private automobilefor movement.

Looking at the given options, "blocking high views" is the option that is not typically a problem associated with urban sprawl because urbanization usually takes place on relatively flat levels.

The missing options are;

a. blocking high views

b. destroying animal habitats

c. overrunning farmland

d. reducing green space

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what is time and energy​

Answers

Answer:

Explanation:

well time is like 12 : 30 or like 3:00

energy in what you use to power your homes

What do we mean by “whiteness” and how does that
determine/influence our society?

Answers

Whiteness is often used as a derogatory term to describe Caucasian culture. This influences our society by promoting anti-White hatred.

Answer:

whiteness refers to white people(WHITE americans), back then white people got all the good stuff while colored people (meaning everyone who is not white) got old breaking down things. This influenced our society back then and made people think that white people are way better than colored. Which is SO NOT true, everyone is the same

explain the distinction between a real address and a virtual address?

Answers

Physical addresses refer to hardware addresses of physical memory.

Virtual addresses refer to the virtual store viewed by the process.

might be different, in which case virtual addresses must be mapped into physical addresses.

A capacitor is connected across an ac source. suppose the frequency of the source is doubled. what happens to the capacitive reactance of the capacitor?.

Answers

Answer:

Explanation:

The capacitive reactance of the capacitor is determined by [tex]X_{C}=\frac{1}{\omega C}[/tex]

When [tex]f'=2f \rightarrow \omega' =2\omega[/tex]

and [tex]X_{C}'=\frac{1}{2}X_{C}[/tex]

(The capacitive reactance will be reduced into 1/2 times of the previous capacitive reactance)

Technician A says that a range shift is used to select high or low gear ratios within the transfer case. Technician B says that a mode shift is used to select two wheel drive or four wheel drive. Which technician is correct

Answers

Technician A says that a range shift is used to select high or low gear ratios within the transfer case is true while Technician B  is false.

What is this shift about?

A range shift is known to often take place when there is either high or low speed ratio of the given transfer case that is known to be selected.

Note that A range shift arrangement is known to be seen  for moving a gear reduction unit that is found between a low-range operating speed and also that of a high-range operating speed.

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A closed thermodynamic cycle consists of two isobaric and two isochoric processes. The processes operate between 0.43 MPa and 4.3 MPa and 0.28 m3 and 2.9 m3. Determine the total work (with appropriate sign) for one complete cycle, when the cycle operates in the clockwise direction. Provide your result in MJ.

Answers

Answer:

Explanation:

For first isobaric process (expansion with constant pressure):

[tex]W_{1}=P_{1}(V_{2}-V_{1})=(0.43\times 10^{6})(2.9-0.28)=1.1266 \times 10^{6} J=1.1266 MJ(+) (Expansion)[/tex]

Now, for the first isochoric: [tex]W_{2}=0[/tex], and [tex]Q_{2}=\Delta U=U_{3}-U_{2}[/tex]

For the second isobaric process (compression with constant pressure):

[tex]W_{3}=P_{2}(V_{1}-V_{2})=(4.3\times 10^{6})(0.28-2.9) =-11.266\times 10^{6}J=-11.266 MJ (Compression)[/tex]

For the last isochoric: [tex]W_{4}=0, Q_{4}=\Delta U=U_{4}-U_{3}[/tex]

So, the total work per cycle: [tex]W=W_{1}+W_{2}+W_{3}+W_{4}=1.1266+0-11.266+0=-10.1394 MJ[/tex]

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