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Question

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Answers

For each of the scenarios given in Exercises $1-6$, - Find the amount $A$ in the account as a function of the term of the investment $t$ in years. - Determine how much is in the account after 5 years, 10 years, 30 years and 35 years. Round your answers to the nearest cent. - Determine how long will it take for the initial investment to double. Round your answer to the nearest year. - Find and interpret the average rate of change of the amount in the account from the end of the fourth year to the end of the fifth year, and from the end of the thirty-fourth year to the end of the thirty-fifth year. Round your answer to two decimal places. $$\$ 5000$ is invested in an account which offers $2.125 \%$, compounded continuously.

And this question we're talking about comporting interests where interest is being given on the interest that has already given for the principal amount. Okay. And in this question compounding is done every month. Okay. For a principal amount of for a principal amount of $5,000 at a rate off at a rate of 2.125% days. Just 2.12 5000 days. Now uh we told that the component is done continuously. That means number of compounding in a period is in in nine years 12 right if it is being done abdomen that 12 times in the land. And the equation that mean it uses a F. T. Is equal to be multiplied by 1 to 11 plus R. By holding the bottle anything. T. Is a number of years for its the particular investment is kept in the account and pc principal amount that has been invested in that. I can't R. Is the rate of interest which has to be extras in terms of the numbers or not in not in terms of percentages and nz number of compounding is done in a year. Well A. F. D. Is the amount that you can expect for the account. A hole at the end of two years. Okay So the pencil owned are and but here are we should not take it in person. This that means we have two divided by 300. So that means the robot and 0-1 to fight. Is the amount that you take is the value that you need to use. So the first question is two to express the amount Indeed in this particular account in terms of T. So you have to do is that you just have to substitute these values into formula. And very big wish. So that means A. F. T. Is equal to P. That is 5000. uh by by one plus R. C. 010 to 1 to five divided by 12 Under Barak 12 T. Okay so this is the formula that problem. This would account Coming to the 2nd question. That is how much will be the amount that is that we present in this political economy at the end of at the end of 50 year, 10 p.m. 30th year and 30 50. So all you have to do that you have substitute T. In this formula and find the answer. So that means air fight. The first 150th is 5000 multiplied by one plus 3.0 to 1 to five Divided by 12. Tomorrow. 12 multiplied by five. So that means calculating that will get 5000 multiplied by one plus. Find 0-1-5 divided by 12. Hold the bottle 12 multiplied by five. Right? We'll do that. We'll get 5500 And 59. 5159.98. The Smiths will be the amount That they can hold at the end of 50 At the end of 10th year. The end of 10 years At the end of 10 years is equal to 5000 multiplied by one plus 010 to 1 to five Divided by 12 or to the core of 12 multiplied bite and that means it will be 6000 6182.67. Especially with the amount they can we hold at the end of 10 years now coming to 30 years. F 30 is equal to 5000 Multiplied bike, one plus 0.02125 divided by 12 3, 12 multiplied by 30 is equal to 9009453 Point three. Uh Yeah for rounding it off you get mm for that. Okay so that's it and that means f 40 if you want to be precisely 40. Uh F 35 is equal to 5000 multiplied by one plus 0.2125 divided by 12 at risk To the bottom to grab it 35 and he will get 10,000 10,000 512.13. Okay, not one actually will get one for Yeah you get one for yeah so just a minute. Yeah we'll get one for because you are asked to round off the answers to its nearest center so that's how we get one for uh white, you will get one thing anyway, be careful about the rounding of rules. So this is how to make sure that it is correct. Okay okay So uh this is actually the amount percentage vehicle at the end of 50 year will have 5,559.98. And at the end of 10 people have 6,182.67. At the end of 30th year we'll have 9,453.4. And at the age of 35th year we'll have 10,512.13 dollars. That means my 30th year the money has already doubled. That brings us to the 3rd question. That is we need to find the number of years that will take for the amount for the amount to become double matters. If the principal amount was What do you want us 5000 Then the amount at the end of two years has to be 10,000. So you need to know how much it will take. You know that by 34 years it has already doubled. But we just need to do the calculation to know how much to take. So subscribing the virus will get 10,000 subscribers virus today to this equation. Okay you need to subscribe violence in this equation and you need to find T 10,000 is equal to 5000 multiplied by one plus 010 to one to fight divided by 12 by 12 To about 12 T this is what we need to find out is what we need to find. And dividing both sides by 5000 wickets. To strip one plus 0.0 2125 x 12 To be part of 12. T. is equal to two playing log. You can apply a natural logarithms or uh Common love with anything can be applied in a problem. So applying I'm using as an algorithm. Natural logo one plus 0.02125 divided by 12. Or will use common just for this case. Okay so it doesn't matter actually. It doesn't change anything much but I'm just you can use any base if you want. If you have a calculator that supports different base then you can use for example you can use base too. The right hand side becomes one. No problem. Uh It's just that uh you can try using natural uncommonly with them but when it comes to e you can you have you can't use that slogan because it's simpler when it comes to 10. Use common law given because it makes things simpler. I think we'll do love to. That means playing properties of longer than we get 12 t. multiplied by log off. And save the black. It will help one plus Find 0: 1- five divided by 12. That is one one point we have a let's take the long term. I think that would be better because if we just round off here will have it's really a bit difficult log of that particular value is seven points 7.68 multiplied by 10 to the -4 is what we get is equal to log to. Okay so that means 12 T. is equal to T. Is equal to T. Is equal to Yeah. Long two divided by 12 multiplied by 7.68 multi private. And the world -4 which on you know dividing will get 12 Very boy 7.68 and grab it into a lot of -4. When you do that you'll get 32 points right? 30.66 years. That means it will take 33 years For the investment to double that is from 5000 to 10,000. So here uh What happened was in my 35th year it became on 10005 and told but by 33 years itself It has reached $10,000. So now do they finally question that is. And the final one where you have to find is that you need to find the rate of change of the amount at the end of fourth quarter of the year and then find the rate of change of amount At the end of 30 40 or 2 35th year. And you need to compare this to compare this to Rates. So that means we might find the amount at the end of for Pier 50 30 40 858. Right? So then the fourth year you have to use the formula that is 5,000 1000 Yeah 5000 Multiplied by one plus 0.02125 Divided by five, divided by five divided by 12. Yeah, By 12-12 multiplied by for this is what we need to find. Right? So that means by 1000 multiply it by one plus 10.0 to 1 to five divided by 12 to the body off 12 multiplied by four is equal to 5443 points 18 responsibly. The agenda for pia. Now I am five am are at the end of 50 years And then the 50 we already found out right there is 5559.98 5559 198 At the end of 50 will help at the end of the 34th year will help At the end of 34 there will help. 10,000 Sorry, I joined the calculation first 5000 multiplied by one plus sort of 10 to 1 to five divided by 12 or 12 multiplied by 34. That will be 10291 Point Yeah, fine please. This video is good enough. 30 40 Coming to 35th year. We don't need to calculate it again because we already found out. Right, That is 10,512.13, 10,000 final and 12.13 This motion video going to end up Dennis 30 15 Now to Calvin the rate from 48 to 50 year. What that means And more than 10 to 15 minutes I'm going to be enough for people to buy for one slide. Right? So that means 5500 and 59. Find 9 8 -5000 Foreign Land. 43 points when it divided bike. Hi my passport. That's what we need to find. Mhm 5159.98 -5443.18 You were by one is equal to 116.8. That means since it's the rate of six from 48 to 50 year when it comes to 34th year to 35th year will help 10512.13 10,000- 91. Yeah, find the right way Prime Minister before that is 10512.13 10,000 to 91.3. So little help Do 20.8 Quick. That means the amount of change of the rate of change from 4 30 to 50 years. 116 $100. Why demonstrators things from 34 30 35 theaters to 20.83 which means Almost more power more than a difference of 80% taste right? It means the rate of change in a compounding interest case and Emily is not the thing. It also varies but that when they're more description they're going for more number of years. This rate of things will also be higher. For example like 50 58 year old, 51st year will be different. Higher Landers. Okay, so one second through the steps. So we have uh, the problem we're compounding interest is considered, you know, I'm comforting is done every month. And for that the question we have to use is this so they're generally so the question that represents is portable account will get it by substituting the values that were given To the general formula we all this with help of that. We're able to find the remote at the end of fifth year, at the end of 10 Pierre at the end of 30 theatre and at the end of 35th. Yeah, this is ST look at one thing mm just yeah Uh, the next one you are asked to find the time it will take in years to find the signs are that the amount will become double and that of the investment amount. So doing the illusion, we found out that It will take at least 33 years or in 33 years the month and the economy will be doubled. And finally we are asked to find the right person from 14 to 24 to 34 year. We did that, and in comparison, encountered that The rate of things from 30 for 30 series, like the matter for 250, hope you understood this.

In this problem. We have Sydney and we have Benny and they both have periodic investment accounts. And so we would use this periodic investment account formula to find their ending balance. And so what we want to do for Sydney for to determine his balance at the end of 10 years is to substitute Sydney's values into that equation. So Sydney invests $100 every month, has a 5% interest rate, so that's 50.5 as a decimal. And we're looking at a 10 year time period, and we put that into the calculator, and we get $15,528.23. Now we do something similar to that for Benny. So Benny is investing $80 a month. Benny has an 8% interest rate, so that would be 80.8 as a decimal. And again, we're doing this for 10 years, and Benny ends up with $14,635.68 a month so we can see at the 10 year mark. Sydney has made more money, So next we're going to look at how much money they've made After 20 years. So we're using the same formula and here, Sydney, and what we've done is we've changed the number of years to 20 instead of 10. Everything else stayed the same. And Sidney has 41,000 something dollars. Same idea for Benny. We've kept everything the same, except that we've changed the number of years to 20 and re computed, and Benny has 47,000 something dollars, so we can see that now. Benny's total amount of money has surpassed Sydney, so the next thing we want to do is make a graph of Sydney's balance and a graph of Vinnie's balance. And we're going to use this equation except that what we're going to do is replace the numbers for end times T by an X and X is going to stand for the number of months that have gone by. So Sydney's equation will look like this where we have this X as their variable in for the number of months and then Benny's equation looks very similar. Sydney still has all the same numbers that he previously had, and so does Benny. So the next thing we want to do is go to the graphing calculator. Type both of these into the y equals menu. Do that very carefully with all the parentheses you need to make sure you have the order of operations working properly. Do that for both. So we have y one and y two and then you want to establish a good viewing window. So what I've done is I've, um, looked at how many months it took to get to 20 years and 20 years was 240 months. So I decided to go a little bit beyond that to 250 months. But that number can vary, doesn't have to be to 50. And then for the y values. I was thinking about how they both had in the 40 something thousands. There was 41,000 and 47,000 so I decided to go up to 50,000. But that could be different as well. It doesn't have to be 50,000 so now we'll look at the graph and if we press trace, we can see that the blue one is the one with a $100 balance. So that was Sydney, and the red one is the one with an $80 deposit. So that was Benny. And we see that there is a point of intersection. We see that around here somewhere. Bennies balance is surpassing Sydney. So the red graph was below the blue graph for a while. So Benny had more or six Use me. Sydney had more. And then when the red graph goes above the blue graph, that's when Benny has more. So what is that moment we could find out? We could go into the calculate menu and we could choose number five intersect and then cursor on the first curve. Yes, press enter cursor on the second curve. Yes, press enter. Move the cursor closer to the intersection Point press, enter and then looking at the bottom of the screen, we see 158 months corresponds to 22,000 something dollars, so 158 months would be around 13 point something years. I think that would be the point where Bennies balance surpasses Sydney's balance

Yeah this questions about compounding continuously. That means the amount is being compounded ideally every moment. Okay so the chairman instead of in the normal his world. It has been hammered every monthly or annually or quarterly. So here's the thing is uh the question that we have that we have used for this kind of problems is the FDA is equal to B. E. To the power of RP. Uh huh. This is the question that you need to use for this. And the principal amount that we house $500 and the rate of interest is 5000.75%. But when it comes to this equation that is a physical dopey. It is sort of parties with a F. D. Is the amount that you're expecting at the end of two years. And yeah he's in expressing years that is the time period and please even supplement is the uh number three. That is oil lesson book and R. Is the rate of interest. But rate of interest should be ex president arsenals and outgoing person days. So here it's given us in person so you need to divide it by 100 in order to use this. Any question that means that means, so what we're asked to find is that we need to find the equation of formula or we need extras demon that is a in terms of as a function of T. So that's what we are supposed realization that through these values in this equation and that's all that's enough. That is really use the black as he will to a F. T. Is equal to P. That is 500. Multiplied by here. To develop our P. R. 0.75 T. This is the function that represents this particular account be. That is how many years will take to reach? Uh sorry how many how much money will be there in the account at the end of five years. 10 years. 30 years and 35 years. Okay. It is first of all air fibers. Yeah 500 multiplied by each barrack. 0.0075 multiplied by five. This is what F5. At the end of five years we'll have in the Convair 500 multiplied by It to the bottle .0075 multiplied by five. Could be 519 519 $11. This will be the one that you had to round it off to the nearest sent. So that's why it became 511 30 19.11. Now at the end of 10 years this particular thing listen, I can't be helped. 75 multiplied by 10. That would be 538 38.94 dismissal with the amount that will be remaining at the end of 10 years. Now at the end of 30 years at the end of 30 years After 30 years we will talk 500 multiplied by each of the bottom. 0.0075 multiplied by 30. That will be So that will be 626 6 26 $16. This was the video at the end of 30 years. And when it comes to 35 years that is a F. 35 is equal to 500. Multiplied by 010075. Multiplied by 35. To be $6.56 $50.09. This month will be the amount remaining at the end of 35 years. This is that's what you can expect in that account if the interest rate continues to be like this. And in the third part what we have to do is that determine how long it will take for the initial investment or double. Okay so that means A. F. T. Is equal to $1000. Right means p is 500. That means if there will be $1000. I mean you find the time taken to reach this target. So that means 1000 is equal to 500. Multiplied by and deployed by here to the bottom. Rt right? R 010075 multiplied by 80 90. So here dividing both sides by uh 500 will get each of about 0.0075 T. is equal to to we need to play natural algorithm to solve this because we have external power here. But we use a natural language. You are free to use any kind of any longer than any basement here. We'll use natural rhythm because it makes the whole thing easier because we have to be here. Right so natural log off to the bottom. 0.75 T. Equal to natural log of two. And I'm playing properties of logarithms. We get 0.0075 T. Natural log of E. Which is one. So we don't need to write, write is equal to natural log of tools. The row point 693. Yeah 6 91 69 Cleveland. That means T. Is equal to 016931 divided by 0.0075. Just 16931 divided by .0075. Yes 92.92.413 4133 years. Which means Rounding it off to get 92 years. So that means in 92 years we can expect the amount of double. Okay so that is what this means. Now we're onto the third question. That is The 4th question that is find an interpreter. The rate of things of amount in the account from the end of 4 30 to 50 year and that is at the end of four theater with their will have different amounts. Right? So we need to we need to find the average rate of change from 4th and 5th year To the right of things from 34 to 30 50 years. That means we need to find the amounts at the end of 45-34% 30 15. Right? So amount at the end of four theories. 500 multiplied by it to the power of 500 multiplied by E. to the power of 0.0075 Multiplied by four. Right. This is the amount that will be there in the end of 40 year. That will be 512, Sorry 515 2 3 especially the amount of money I'd end of 40 and then the fifth year will have we don't need to the calculation because we have already done it right, That is 519.1 month. So this must be 519 point 11 maybe they're more commanding at the end of 15 at the end of 34th year we have to do the calculations. Right, okay, That is 500 multiplying by three barrels. The Roman, multiplied by 30 for us. 34 years uh 6 45 How to fight And 2, 3 Smith will be the amount remaining at the end of 34 years at the end of 35 years of 35. You know the amount because we have already done the calculation that is 6.50.09 6 50.09 especially the amount. So the rate average rate of things From 4 to 5 years, You just need to find the difference between these two months. That is 519.11 19.11 515.23 515.23 6, 515 divided by five minus four. Right? That is yes. We are seeing the difference between. So that will be 5 19.11 minus five, which will be $3.88. So $3.8 of the average rate of change from 4 30 to 15. From 34th year to 35th year, it will be 6 15 6 50.09 -645 1, 23 divided by 35 minutes, 30 vote. So that would be 6 50.9 minus 6 45 and 23 maybe Or 186 4.86. That means that is a lot of things between You know, 40 or 50 year and 24-35 60 are not the same. It is different. The former message is three point in law school year. The latter is, it's just $4.86. Because you can see that it has increased and I think this is already packed. So yeah, so that's it. Once again through the answers or the steps. So we are getting a case of continues combining where the principle of $100 and three different access points. And so in the case of continues combining, they had used the situation that is if there's going to be eating a lot of arctic and we we just made the formula for this particular uh problem. And then we found the amount at the end of 5th year, at the end of 10th year, at the end of 30 area and at the end of 3050. And we have found the time to take for the principal amount to double. And we found the rate of change between 40 to 50 34 to 30 50. So that's it.

These questions about continues converting that is the amount that you're invested in the bank account is being component ideally every moment. So it's like you might have heard about the questions we're dealing with a monthly column bonding or something like that. But here the question is different. So here the equations A F. P. Is equal to, we need to go RT Okay so here the principle and one that is being invested as I'll explain the trans negative. So f. Is the amount that you will be getting at the end of two years. What is explicit in years? That is the time of the investment? Is the principal amount that your industry and r. Is the rate of interest. But this our value has to be ex president. The serial number is not not in personally. So if it is given person that you have divided by 800. Okay so the principal I want in this case is $1000. Just $1,000. And rate of interest is 1.25 1.25%. That means 0.012510125. Is uh it is being component continuously. So first of all the equation or the you know formula to represent this party like counters. You just have to shoot this. Indeed the situation then you look at that that is A. F. D. Is the amount that you get is equal to P. That is 1000 1000 multiplied by each of our of our p that is 010125. So the first question where we are supposed to find the amount A. In the account. In terms of T. That is the real question. In the second question. That has to find the amount in the second at the end of five years, 10 years, 30 years and 35 years. So first of all we need to find AF five Only how to lose that. Users need to substitute five in this particular question. Then you really get that. Right? So that means 1000 multiplied by E. Trade off. 101250.125. Multiplied by five sort of fight T. Fire. That is equal to on calculating will get 1000 multiplied by Eat to the borrow find 0125. Multiplied by five. Right? So that means 1000 64 point for nine. Okay. $1,064.49 will be in that account Now AF. 10 that is at the end of 10 years. Or do well how is Similarly to absorb five or 10 instead of five 1000 multiplied by a 34 of 010125 multiplied by sorry. Um multiplied by five. Fight. So 10 better by 10. That is 1000 1133.15. Special beauty and all too many in the account at the end of 10 years now. Coming to the End of 30 years. That is 30 days, 1000 Multiplied by each developed their 10125 multiplied by 30 system. Like This is 10. Okay it's a step is equal to this will be 1000 1454.99 Christmas will be the amount remaining at end of 35 years for 30 years. And finally at the end of 35 years At the end of 35 years it will be 1000 multiplied by each part of 010125 multiplied by 35 is equal to 1500 and 1548 0.83. So this much this myself being on agenda At the end of 50 year will have 1,064.49. At the end of 10 years you will have 1,133.1. Quite at the end of 30 years will have 1,454.99 at the end of 35 years, you know 1,548.83. So I went to the 3rd part determine how long it will take for the initial investment to double. Okay, so that means Principal amount is $1,000. Right? So that means AFT has to be $2,000. This is what the time it will take to reach $2,000 is what we need to find. So the equations of T. Is equal to pE table of RT right? That means 2000 was equal to 1000 multiplied by 1000 multiplied by it. To develop arctic 010125 T. Dividing both sides by 1000 will get the truth out of .0125 T. is equal to two applying natural algorithm and bullfights and using natural rhythm because we have easier. Right? So that means natural logo. It revolves around 10125. T. is equal to natural log of two. Okay and playing properties are longer than we get. 0.0125. T. is equal to natural look up to and that means he is equal to That's a lot of two divided by the robot and 0125. And that will be no That's a lot of two divided by .0125 Others 55 45. That means 55 years and around the doctor to be in 55 years. You can expect the you can expect the initial investment to double in this the account. And then to the final question that is find and interpret the average rate of changes amount In like at the end of fourth year to 50 year and at the end of 34th year to 3015. That means you will have a lot going on at the end of fourth year then at the end of this year. And you need to go under like uh calculate the rate of things And do the same for 34th and 30 50 years. So and compared that. Okay, So that means we need to find the amount at the end of fourth year. That is therefore, that means 1000 multiplied by it to the bottle. I took the formula from here. Okay, This is the formula you're calculating just like this. So it will develop our 010125, multiplied by four. That means uh for There goes 1000 1051 51.27. Okay. and a five have five. Therefore, we already know. We have already calculated that is 1064.49. 1064.49. And the next 1, 34, You have 34 hours, f 34. Uh This 1000 multiplied by 80101 to fight, multiplied by 34 is equal to And those in 529, 1529 Point fire mine confines. and at the end of only at the end of the 35th year, The moment, you know already calculator. That is 1200 and 48 Monday three 548 183. No uh Great exchange. You need to elaborate on that is 4, 30 to 50 year. This will be 1000. You need to know the difference. Right? 1064 .49 -1051.27 mm. So divided by 5 -4. Right? That's how you find the rate of things. Right? 1,064.49 -1051.27. Yes. 13 point To that. That means $13.22 a. c Rate of things from 48 to 50. From 34th year to 35th year. We can 1000 548.83 -1529.59. The violent way 35 -34 that is equal to 1248.83 -1229.59 three B 19 point 19.24. I mean the rate of change In the investment of the final account value at the end of the 35th, year to 35th year is larger than the same for 14 and 15. From 40 to 50 years. $13.22 were added to the account while from 34th and 35th 19.24 dollars without it to that particular account. So the rate of things also babies with the time that is taken for the investment or time for which the investment is kept in the account. So when saying through the answers. So we are given a problem where we have containers company where we have in mystery $1,000 and it has been compounded rate of 1.5%. So we have to use this formula for countries compounding and the formula that represents this body will account. Is this what religious? You have substituted values into the general question. And when it was we were asked to find the and one at the end of fifth year, at the end of 10th year, at the end of 60th year and at the end of the 35th year. Now we were asked to find the time it will take for the amount to double. So we found out that it will double in 55 years. Uh huh. And we have to find the rate of change of amount from fourth year to 50th and 34- 3015. And combat that. So that's it. I hope your instrument. What


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Find these values: a) $\chi_{2}\left(K_{3}\right)$ b) $\chi_{2}\left(K_{4}\right)$ c) $\chi_{2}\left(W_{4}\right)$ d) $\chi_{2}\left(C_{5}\right)$ e) $\chi_{2}\left(K_{3,4}\right)$ f) $\chi_{3}\left(K_{5}\right)$ g) $\chi_{3}\left(C_{5}\right)$ h) $\chi_{3}\left(K_{4,5}\right)$
Find these values: a) $\chi_{2}\left(K_{3}\right)$ b) $\chi_{2}\left(K_{4}\right)$ c) $\chi_{2}\left(W_{4}\right)$ d) $\chi_{2}\left(C_{5}\right)$ e) $\chi_{2}\left(K_{3,4}\right)$ f) $\chi_{3}\left(K_{5}\right)$ g) $\chi_{3}\left(C_{5}\right)$ h) $\chi_{3}\left(K_{4,5}\right)$...
5 answers
$51-58=$ A polynomial $P$ is given.(a) Find all the real zeros of $P .$(b) Sketch the graph of $P$ .$$P(x)=x^{5}-x^{4}-6 x^{3}+14 x^{2}-11 x+3$$
$51-58=$ A polynomial $P$ is given. (a) Find all the real zeros of $P .$ (b) Sketch the graph of $P$ . $$ P(x)=x^{5}-x^{4}-6 x^{3}+14 x^{2}-11 x+3 $$...
5 answers
Complete Ihe lolbwing reaction schema SobItnodemhunannutrttan: Sho all oreanic produds (5 ps each)HBrHBIHg(OAch H,O; NaBHaZn; HoKMno H;o"BH;"HzOz; OHH,PO; HzobO
Complete Ihe lolbwing reaction schema SobItnodemhunannutrttan: Sho all oreanic produds (5 ps each) HBr HBI Hg(OAch H,O; NaBHa Zn; Ho KMno H;o" BH; "HzOz; OH H,PO; Hzo bO...
2 answers
(a) Complete the missing component of the hypothesisstatement(b) State whether the probability distribution used is: Normal,Student t, orChi-Square. Assume the population standard deviation isunknown. (c) Use the significance level andthe appropriate distribution table to findthe critical value(s). If two-tailed, give both criticalvalues. 5.) (a) H0: μ 8 with n= 15, and =.05H1: __________(b) _____________________ (c) _______________________
(a) Complete the missing component of the hypothesis statement (b) State whether the probability distribution used is: Normal, Student t, or Chi-Square. Assume the population standard deviation is unknown. (c) Use the significance level and the appropriate distribution table to find the critical ...
5 answers
For 16-17, consider the following: The velocity ofa particleis given by v(t)= 4-6 &nd $ = 8 when / = 0. Find: (2 points) The acceleration of the particleat t = 4 16. The position function for the particle:
For 16-17, consider the following: The velocity ofa particleis given by v(t)= 4-6 &nd $ = 8 when / = 0. Find: (2 points) The acceleration of the particleat t = 4 16. The position function for the particle:...
5 answers
AWe MonHaenneaanalnasa 042 ka Motenrtiln Kaetetd mndenindt Enanet Fenm Falnntho Iott unib olan muaaluaet tlenthulanyvet0.4350.T40.2340.987
AWe Mon Haenneaanal nasa 042 ka Motenrtiln Kaetetd mndenindt Enanet Fenm Falnn tho Iott unib olan mua aluaet tlenthula nyvet 0.435 0.T4 0.234 0.987...
5 answers
III: Matching Type: Match the detinite integral in column A with its value in column B only: Use Capital Letter.11. [ (2x = 3) dx 12 [6' + Zx)dx 13. S (xr' - 2) dx 14. J (r' + 3x - 1)dx 15. [" (#-#)ax 16. Gtw + 1)-62 I)Jdy 17. S( - xJdx 18. E61-x)dx 19. G 2ax 20. Sy dy~216,1
III: Matching Type: Match the detinite integral in column A with its value in column B only: Use Capital Letter. 11. [ (2x = 3) dx 12 [6' + Zx)dx 13. S (xr' - 2) dx 14. J (r' + 3x - 1)dx 15. [" (#-#)ax 16. Gtw + 1)-62 I)Jdy 17. S( - xJdx 18. E61-x)dx 19. G 2ax 20. Sy dy ~2 1 6, 1...
5 answers
Flnd the sum ofthe serles;Question Help; QvideoSubmlt QuestlonRS
Flnd the sum ofthe serles; Question Help; Qvideo Submlt Questlon R S...

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