4

1 Bus [ Econ 3 Homework: 3.,4.35 Homework Annuities...

Question

1 Bus [ Econ 3 Homework: 3.,4.35 Homework Annuities

1 Bus [ Econ 3 Homework: 3.,4.35 Homework Annuities



Answers

Future Value of an Annuity Find the future value of each annuity. See Example 9.
Suppose that $a_{1}, a_{2}, a_{3}, a_{4}, a_{5}, \ldots$ is a geometric sequence. Is the sequence $a_{1}, a_{3}, a_{5}, \ldots$ geometric?

In this question we're asked to compare the return, compare the compounding effect status, monthly compounding effect and the country's comporting effect that we discussed in problems number 1 to 6. So in problems number 1 to 6 we took you know three different values that is in one and two we took $500 to in three and four we took $1000 and in 45 and six it was $5000. And we took the different cases of continuous company a monthly combating using the same interest rate. So Here I tablet returns at the end of 15 and 35th year when you do a monthly committing anyone in this community. So it's like in the case of monthly commuting and discovering at the end of 50 or you know the returns are almost same. I mean there is nothing to me it's the same like there is no difference actually it's it's it's the cases seem like almost in the all the, all the three cases here are, the only difference is like You know uh just half a dollar or something. That's the only difference you can see here even in the case of $5,000 when it comes to 35 years when it comes to 30 days also and there's a 500, it's really close like there is no big difference, there is no difference And these are $1,000 also. There is no difference like but it was the same When it comes to $5,000. We can see a kind of you Compared to all the other values, there is a difference of around like $7 something. So there is, this is the only case we can see a difference when it comes to monthly company and condoms converting. So actually this question the workers have to, you students like you have to do different calculations and find out if there are any, if there is any dramatic difference between these two. So what I'll lose that I just, you know, these two other families that is his body can't uh sorry, monthly uh this for the, you know, competing interests normal converting case that is monthly commuting daily compounding, uh, only converting. But this is the continent's company question. So the rate rate of interest will be the same. But we can, you know, uh, here we all the interest rate that up very less. Like I'm not very less. But uh, according to you know banking banking centers that will be Okay like three persons or something. But let's say we go with an account, let's say we are investing, let's say we're investing $5,000. Really $5,000 at the rate of 8% per annum. Great person planning is the interest rate and we'll find the difference between monthly comforting and continues company. Okay, so that's what we'll do in this question. So I'll just do this example for you and what you can do is that you can just uh play with the values that is the total amount the tenure of investment, the interest rate and then find a fine. If there is any like major difference between monthly company independence company. So what we can do here is that she is you know, I'll just go this way itself. Like If you have $5,000 and eight personal interest when it is monthly common country single product. What will be the returns at the end of 15 and 35th is what we're going to do. So let's start with monthly Good morning. First the question is the question will be a soft is equal to F. D. is equal to 5000 multiplied by one plus. Are buying us eight persons right? R. Is equal to I'd like to hear. How does he do? 8%. Is that is 0.08 mm N is equal to write monthly compounding. So the question will be 0.8 divided by 12 12. T. This will be the question right for monthly company now, A F five is what we need to see first. L five years 5000 multiplied by one plus 0.08 Divided by 12 to be bought of 12 multiplied by five. Right? A little bit returns for five years. On calculating it will get one plus 35,000 molecular one plus .08 divided by 12 to be got off 12 multiplied by five. That means returns at the end of 5th year. We meet 7449 23. This will be the returns for the at the end of 5th year. At the end of 35th year I have 35 is equal to 5000 multiplied by one plus 0108 divided by 12. Tomorrow 12 multiplied by 35. Right now, let's see the final month. That is 162,000 400 81,400 and uh 62 point 75. This is the amount that we can expect at the end of 35 years. Okay, this is the amount that we can expect at the end of 30 days you started with 5000. Okay so uh and you have $81,462.75 at the end of 35 years when the interest returned? Raters 8% is okay. Now let's go to the monthly continues compartment case. So it's got the content is so important case. So that is the question will be a F. T. Is equal to 5000. This will be the equation very that is if this will be it for the party That means 5000 multiplied by E. To the goal of RT. That is 0.8 T from the equation now for 50 years and the atmosphere F five is equal to 5000 multiplied by each member of the ribbons. Rate multiplied by. That's true. So high. Uh Fight you also. Yeah. So that means on calle fashion will get 5000 multiplied by E. To the power of 0.08 multiplied by five. And the returns is 7459 12 Mm. Yeah. To returns at the end of fifth year you have 35 years. 5000 multiplied by eight without a 0.08 multiplied by 35. This will be mm 82,000. There was 223 uh This month will be written at the end of the 35th year. Okay, so now compare the values, I just write it here. So it started with we have $5,000. Then in the case of uh at the end of 50 or three in the index of continents company and in the case of monthly combat and this is what what we need to, you know, save difference. So when it comes to The end of 50 year and the end of 35th year, So this is the country's good morning is right. So that means at the end of 5th year we have 7400 and 7459.12. That's what you get at the end of 31 year you get 82,223.23. When you go to monthly comedy, you've got 7449.23 7449.23. And at the end of 5th 30th here you get 81,460- 81,462. Find 75. This is what you get to see the difference here here. Also here also like like 8% which is considered to be uh the interest is considered to be on the higher side given then the difference is like How it's it's around you know $800 or something right? Yeah $800 or something in 35 years. When it comes just five years the difference is like $10. So see the uh thing here like even the difference between continues convenient monthly co morning is it's not that great actually. When you compare when you compare like yearly compounding, when you come back nearly component with n. Is equal to one and these two continues company then you won't be able to see a larger difference. But when it comes to when the frequency of computing increases, you don't see that much of an increase in the returns. So if you want you can try with different examples and do the computation and tablet this and so that you can understand the whole concept. So I guess this is enough for this restoration you have yourself so once again here the whatever did here is that from the christians want to exercise established the returns when it comes to a somebody For 15 and 35th year. And so that there is not much of any difference when it comes to returns. So I just took one another example where we are investing $5,000 that tend to serve a person is and for the same like five years and 35 years. So calculated the returns according to both the cases and found out that be and the friends is only I would say like I don't think, you know, there's only 1% of the total amount that you get. So yeah, considerable amount of written something you can consider is the difference that you can consider. You're getting that only when you're investing for such a long time with a good interest rate for this money amount. Okay, so the amount if you go for like 50,000 or something, then yeah, then you will be able to get more returns. Okay, So you just have to do the calculation and then you will understand that. So, so that's it for this question. So, I hope you understand the concept by

So in this question, uh we have a geometric sequence that is a one, a two, a three, a four F. I. And so on. We have to find whether the sequence even a three, a five, a seven is geometric or not. Right. So the approach here is, since the sequence is a dramatic sequence, let's suppose the common issue is our right. So the even is the first time that the same one? The second time would be even multiplied by us. Whether it's a common issue, similarly, a three would be a one into, I'll square, a phone would be even into our group. And if I would be, they went into our powerful. Right? So these are the items that we have. Now, we have to check whether the sequence even 80 if I this is a dramatic statements or not. So when if catholic the common issue for this sequence, we get 80 by even that is everyone into ice were divided by Evan, which is equal to other square. And this is same when we calculate a five by a tree, like since Malaysia of the consecutive terms is same and as equals to our square. Therefore, even a three if I and so on. It's a geometric sequence. Yeah. Mhm. With a common common ratio, S. R squared, right? Therefore, we conclude that this is also geometric segments, but the common issue is hi square.

So for this problem we are asked to use the annuity formula check put here and the specific events first going to take this percent converted to this month. Let's go ahead and plug this into the formula to eat to the 0.45 We multiply the 0.3 times 15. That'll be from 0 to 15. 2000 pizza though. Negative 0.3 teeth T T. So play out that 2000 to the 0.45 on the left and then integrating what we have in the right left over. Then I'll give us you to that point serial three. Uh it's a negative 0.3 teeth. It's going to be divided by negative 0.3 Yeah. Taken from 0 to 15. How are we plug that in the 15 there in 2000. Okay, negative 0.3 plus 2000 you to the 0.45 over 0.3 It's going to be approximately three 7000 887 0.48. And that's ransom.


Similar Solved Questions

5 answers
Polnts Prevlous Answers SPreCalc7 5.1.039. 0/4Find the reference number for each value of t.(b)[ =79(d)Submit Answer
polnts Prevlous Answers SPreCalc7 5.1.039. 0/4 Find the reference number for each value of t. (b) [ = 79 (d) Submit Answer...
5 answers
Which structure is most consistent with the "C NMR shown?Wyykal Ic NJMkCKy Lal ohHycOHOH A) ^B) BD) D~CH,
Which structure is most consistent with the "C NMR shown? Wyykal Ic NJMk CKy Lal oh Hyc OH OH A) ^B) B D) D ~CH,...
5 answers
Question 2 A communications system can use either oftwo links for sending outgoing messages. One of these links is available 98% of the time, while the other is available only 96% of the time. Furthermore, outages on these two links have been found to be independent of one another: Based 0n this information, what is the availability of the system as a whole? 0.0008 0.9408 0.9992 0.1592 none of these values
Question 2 A communications system can use either oftwo links for sending outgoing messages. One of these links is available 98% of the time, while the other is available only 96% of the time. Furthermore, outages on these two links have been found to be independent of one another: Based 0n this inf...
5 answers
Qpestied#c9.1x10-8m".o 8 ua'am 30 J0m J0^Frn4u70
Qpestied #c 9.1x10-8m ".o 8 ua'am 30 J0m J0^ Frn4u70...
5 answers
Question 16 (5 points) Saved Is x = 0 a valid potential solution to the equation log(x + 7) + log(x - 3) = 17?A) No, because 17 isn't divisible by or 3.No, because it isn't possible to take the logarithm of zero: log(O). No because when x = 0, the second term is log( - 3), and it's impossible to take the logarithm of a negative number:Yes. logarithms are valid for any integer:
Question 16 (5 points) Saved Is x = 0 a valid potential solution to the equation log(x + 7) + log(x - 3) = 17? A) No, because 17 isn't divisible by or 3. No, because it isn't possible to take the logarithm of zero: log(O). No because when x = 0, the second term is log( - 3), and it's ...
5 answers
Generally; adults are able to exhale 1.5 liters of air in ~ 1.0 s. if a person blows air at this rate through a drinking straw having diameter of 0.60 cm (a) What is the speed of air in the straw? The air is directed horizontally across the upper end of a second vertical straw which has a length of ] = 30 cm above the level of water in the trough- as shown in the figure. (b) To what height h, does the water level rise in the vertical straw? (13 points)
Generally; adults are able to exhale 1.5 liters of air in ~ 1.0 s. if a person blows air at this rate through a drinking straw having diameter of 0.60 cm (a) What is the speed of air in the straw? The air is directed horizontally across the upper end of a second vertical straw which has a length of ...
5 answers
A solution contains 0.10 M potassium sulfide and 0.10 M sodium carbonate: Solid nickel(II) nitrate is added slowly to this mixture.What is the formula of the substance that precipitates first?formulaHint: It is not necessary to do a calculation here.
A solution contains 0.10 M potassium sulfide and 0.10 M sodium carbonate: Solid nickel(II) nitrate is added slowly to this mixture. What is the formula of the substance that precipitates first? formula Hint: It is not necessary to do a calculation here....
3 answers
What is the volume, in liters, occupied by a mixture of 23.4 g Ne(g) and 40.1g Ar(g) at 7.15 atm pressure and 26.7*C?Lutfen birini secin: a. 7.45 Lb.5.78 Lc.0.33Ld.3.28 L2.35 L
What is the volume, in liters, occupied by a mixture of 23.4 g Ne(g) and 40.1g Ar(g) at 7.15 atm pressure and 26.7*C? Lutfen birini secin: a. 7.45 L b.5.78 L c.0.33L d.3.28 L 2.35 L...
5 answers
If all wires and batteries are disconnected from capacitor; the chargeinto or out of it,The total charge in this casethe separation of the plates. Therefore, the charge Q
If all wires and batteries are disconnected from capacitor; the charge into or out of it, The total charge in this case the separation of the plates. Therefore, the charge Q...
1 answers
Simplify the given expression using the order of operations and exponent rules. Write each answer without negative exponents. $$\left(121 a^{-6} b^{8}\right)^{\frac{1}{2}}$$
Simplify the given expression using the order of operations and exponent rules. Write each answer without negative exponents. $$\left(121 a^{-6} b^{8}\right)^{\frac{1}{2}}$$...
5 answers
6. If four identical dice are rolled, how manydifferent outcomes can be recorded?
6. If four identical dice are rolled, how many different outcomes can be recorded?...
5 answers
1) If you combine 20.9 g of gold (I) acetate and 31.5 g of ammonium oxalate, determine the limiting reactant, masses of products, and mass of excess reactant:Reaction:Rxn 1:Rxn 2:Limiting reactant:Mass of product #1:Rxn 3:Mass of product #2:Rxn #4:Subtraction step:Mass of excess reactant:
1) If you combine 20.9 g of gold (I) acetate and 31.5 g of ammonium oxalate, determine the limiting reactant, masses of products, and mass of excess reactant: Reaction: Rxn 1: Rxn 2: Limiting reactant: Mass of product #1: Rxn 3: Mass of product #2: Rxn #4: Subtraction step: Mass of excess reactant:...
5 answers
Find the Question Help sample size, needed to 0.08 margin of error use estimate contidence aho percentage of adults who have consulted level adults have consulted fortune of 9596 and use results from fortune tellers_ Use tellers pror Poll suggesting that 12% of(Round up to the nearest integer )
Find the Question Help sample size, needed to 0.08 margin of error use estimate contidence aho percentage of adults who have consulted level adults have consulted fortune of 9596 and use results from fortune tellers_ Use tellers pror Poll suggesting that 12% of (Round up to the nearest integer )...

-- 0.024590--