5

One #ity pays $W at the eud of each year for 36 sears with eflective anal rate Another aity Dilvs $4 at the eul of each MOth for 15 Sears with effective AJal intere...

Question

One #ity pays $W at the eud of each year for 36 sears with eflective anal rate Another aity Dilvs $4 at the eul of each MOth for 15 Sears with effective AJal interest rate S527. Tw aitics have thie se present vale Calculate

One #ity pays $W at the eud of each year for 36 sears with eflective anal rate Another aity Dilvs $4 at the eul of each MOth for 15 Sears with effective AJal interest rate S527. Tw aitics have thie se present vale Calculate



Answers

Use the appropriate formula to solve each problem. Simple Interest If 51.30 dollar in interest is earned on a deposit of
950 dollar in one year, then what is the simple interest rate?

Section 2.6. Number 15 a television was purchased with money borrowed from a bank at 8% interest. Compound ID quarterly. What is the effective rate for this particular loan? So what I need to look at is one plus are over in okay to the end. So this is going to be one plus point l A. Compound it quarterly attempts. Four. Okay, so this turns out to be about one point. 08 243 So my effective rate is going to be 1.8243 minus one. So this turns out to be about eight point 243 percent. So that loan is

Yeah. We have this formula from exercise 34 and here we just a substitute C are and end with their values. And we can use this. It's a radio formula Research Initial Value 2.1. And we substitute our and with this initial value we get our tube and Then we can repeat this process into the 4th iteration. The value does not change enhanced the mess rate of return. Yes 0.5 percent. And the annual read He calls .5% times 12, which is 6%.

All right. So we're given a function m of our that tells us, uh, the monthly payment associated with a given interest rate. Um, and then we know that there's rates offered in the range from 0.42 point 05 Uh, in fact, we can make those inclusive with square brackets. Andi, we're interested in finding a monthly payment of $1300 so we want to know if there's a rate the matter in the given range, where them off the payment will be 1300. So the first thing we're gonna do is try to show that that that there is, in fact, a solution. Um, And in order to do that, what the goal is to, of course, he's the intermediate values here. Um, So, um, in order to satisfy the intermediate value theorem, we needed to know that the that m of our is continuous on this range from 0.4 point five. Um, so to do that since it's more or less said a giant fraction, Um, we we just did to check that the denominator is never zero in that range, so well, right out the denominator here. One minus one plus R 12 to the negative 3 60 We're gonna set that equal to zero, and we want to show that this equation doesn't have any solutions. Um, so we'll just move the large term to the other side, adding it both science one plus R 12 to the negative 3 60 And then, um, what we can do is raise each both sides of the equation to the negative 1/3 60 of power. They gave her this exponents, since the left hand side is just one, um, this won't be too much trouble. Um, so on the right hand side of him crosses out. But remember that we're taking an even root here. 360. Um, so that's gonna give us plus or minus one, as opposed to just one as the the route. Um, and then the negative exponents just means that we're basically taking one over the result, which, in this case, is still just one or negative one. So, uh, all right, that we're gonna have either plus or minus one equal to what's left on the right hand side, huh? So, um, well, we can split this up so either positive one equals one plus are over 12 or negative one equals one plus r over 12. If either these has a solution, then there's potentially a continuity problem in our function. So starting with the 1st 1 subtract one from both sides. Zero equals r over 12. Um, since ours between point of foreign point of five, this obviously has no solutions. Are is never zero in that range. Um, and then for the second equation in ad one on both sides who get zero equals two plus are 12. And again. Since our is positive, the right hand side here is gonna be greater than two and not have any solutions. So we can conclude, um eso there's no no solutions. Um therefore, m of our is continuous groups continuous on the range There a point. So for Teoh 0.5, um, because there's no points in that range where the denominator of Emma bar is Syria. Uh, and that means that we're on our way to using the intermediate value theory. But there's still a little more work to do now when you dio um user graphing utility to plug in these end points. Um, we get Emma 0.4 equals, uh, approximately 11. 93 point about 36 and m of 0.5 This approximately 13. 42 point 034 Um, therefore, Emma point of four is less than 1300. The monthly payment that we're looking for and that is less than the right and point at 0.0.5. Um, so because thes left and right endpoints are above and below are desired value. We can conclude that by the intermediate value theorem, um, mlr equals 1300 for some. Oh, are And the open and her little point. Oh, for toe 00.5 That's what the firm says. And so just keep in mind, it's never enough to just check the values of the endpoints you have toe know that the function is continuous on the inner me on the open interval between those end points in order for the intermediate value to guarantee a solution. Um, and next thing we're gonna do is, uh, graph the, um, a piece of that function. Teoh demonstrate everything. You're calculated here. Um, you were just gonna look at the first quadrant. So on the horizontal axis, we have the interest rate on the vertical axis. We have the monthly payment, um, zeroes over here, and we know that we're looking between 0.4 and point of five. And then, um, at point of four, we're a bat around 11. 93 hospital of 93. And that 25 up at 13. 42 and our graph s. So we have a point there a point there. Our graph looks something like this continues upward, and we can see a 1300 is somewhere around here. So there's gonna be some rape around here Where, uh, our monthly payments 1300 and then we Last thing we're gonna do is user graphing utility to solve for that value. Done. And it turns out to be are ours approximately 0.472 So that's this part, right? Here is your point seven to have. So they graft came out really accurate, and we're done

So using our results from the previous answer, we know that our formula is gonna be the present value of ah perpetua sauce payment. Is this gonna be our monthly, or are periodic payment divided by the interest rate Super part A. We're gonna have, um, $1000 payments came and then, uh, every year with 4% compounded annually. So my interest rate 0.4%. So 1000. About about 0.4 gonna be for the perpetual alone would be for original loan. Would have been for 25,000 Kate, part B. Same thing. The payments are $600 and their quarterly payments overran. Divide our interest 6% by 40.15 So that's gonna be a loan of $40,000. Okay, that's it. Thank you very much.


Similar Solved Questions

5 answers
3 36 Thu volume 3 1 1 H arolurnc ! Volnd 01n5e 91 1 1 Oina V uu 1 needed ) needed ) L rvolving thu The 1 1 bounded by the parabola Y 1 V follwing Ilnoe:
3 36 Thu volume 3 1 1 H arolurnc ! Volnd 01n5e 91 1 1 Oina V uu 1 needed ) needed ) L rvolving thu The 1 1 bounded by the parabola Y 1 V follwing Ilnoe:...
5 answers
Find the interval of convergence for the power series x" | 4nn3 n=l
Find the interval of convergence for the power series x" | 4nn3 n=l...
5 answers
Polrit) For Ihe tableau;pcriorm onc phoi opcration and cnicr Ihe resulting matrix below The pivot element has . box nround IL
polrit) For Ihe tableau; pcriorm onc phoi opcration and cnicr Ihe resulting matrix below The pivot element has . box nround IL...
5 answers
Point) EvaluateCcos(4x?) (4x") lim X-0 sin(x4)U TtHint: Use power series.Answer:
point) Evaluate C cos(4x?) (4x") lim X-0 sin(x4) U Tt Hint: Use power series. Answer:...
5 answers
Question 6The Cumulative Density Function (CDF) is not useful in simulationTrue False
Question 6 The Cumulative Density Function (CDF) is not useful in simulation True False...
5 answers
ComputewhereF =18, 'y~ ry; 2+2)and € is the unit circle r" _ y? = Lin the zy-plane; oriented counter-clockwise when viewed from the positive ~-axis_
Compute where F = 18, 'y~ ry; 2+2) and € is the unit circle r" _ y? = Lin the zy-plane; oriented counter-clockwise when viewed from the positive ~-axis_...
5 answers
Hot air balloon is hovering above ground directly 8 meters above its launchpad. The launchpad is directly below the balloon on the ground_ You are approaching the launchpad on bike at velocity of 10 m/s_ How fast is the distance between you and the balloon changing at the moment when you are 6 meters from the launchpad?:
hot air balloon is hovering above ground directly 8 meters above its launchpad. The launchpad is directly below the balloon on the ground_ You are approaching the launchpad on bike at velocity of 10 m/s_ How fast is the distance between you and the balloon changing at the moment when you are 6 meter...
5 answers
1 Knowledge Understanding: A Deteriine the general term, common difference Or common ratio and the number of terms for the following sequences ifnth terms are not mention (L,d,1,n) In addition, identify ifit is arithmetic sequence, geometric sequence and recurcive sequence; (9marks)1) 3,-15,75, 2234375 2) 3/7,4/7,5/7,6/7_t2 3) 1,8,27,64,135,_twvB. Solve for x: ( Smarks) Choose any 3 1) 3621 7776(216') 2) 8x'+ 26x 15 3) +cos(3x) = -3 4) =-2 5) 2sin (x) = 1+ cos
1 Knowledge Understanding: A Deteriine the general term, common difference Or common ratio and the number of terms for the following sequences ifnth terms are not mention (L,d,1,n) In addition, identify ifit is arithmetic sequence, geometric sequence and recurcive sequence; (9marks) 1) 3,-15,75, 223...
5 answers
Question 81ptsWhat Is the speed ol the car In knvh whcn travels 77 m In 8 Round vour answcr the nearest whole number.
Question 8 1pts What Is the speed ol the car In knvh whcn travels 77 m In 8 Round vour answcr the nearest whole number....
5 answers
Exercice 6. a) If s? is the sample variance of the data Ti, i =1_n, what the sample variance of the data ari i=] n, when and b are given constants Compute the sample variance and sampl standard deviation of the following data sets 1,23,4,5 6,7,8,9,10 11, 12,13, 14, 15 2,4,6,8,10 10, 20, 40, 50
Exercice 6. a) If s? is the sample variance of the data Ti, i =1_n, what the sample variance of the data ari i=] n, when and b are given constants Compute the sample variance and sampl standard deviation of the following data sets 1,23,4,5 6,7,8,9,10 11, 12,13, 14, 15 2,4,6,8,10 10, 20, 40, 50...
5 answers
What is the degree = of the polynomial 6x &x"y+Sry +3y210
What is the degree = of the polynomial 6x &x"y+Sry +3y2 10...
1 answers
CAS The integral on the left in Exercise 81 is equal to $f_{n}(x)=\frac{x^{n+1}-1}{n+1} .$ Investigate the limit graphically by plotting $f_{n}(x)$ for $n=0,-0.3,-0.6,$ and $-0.9$ together with $\ln x$ on a single plot.
CAS The integral on the left in Exercise 81 is equal to $f_{n}(x)=\frac{x^{n+1}-1}{n+1} .$ Investigate the limit graphically by plotting $f_{n}(x)$ for $n=0,-0.3,-0.6,$ and $-0.9$ together with $\ln x$ on a single plot....
5 answers
Given: (x is number of items_ Demand function: d(z) 317.9 0.622 Supply function: s(z_ 0.52Find the equilibrium quantity:Find the producers surplus at the equilibrium quantity:
Given: (x is number of items_ Demand function: d(z) 317.9 0.622 Supply function: s(z_ 0.52 Find the equilibrium quantity: Find the producers surplus at the equilibrium quantity:...
5 answers
That multiple of the time constant t (= RC) is the time required for a capacitorinitially discharged into an RC circuit is charged with 95% of the final charge?
That multiple of the time constant t (= RC) is the time required for a capacitor initially discharged into an RC circuit is charged with 95% of the final charge?...
5 answers
Use implicit differentiation to find the _ equation 0t the tangent Iine lha cunva 6+2-*= Ifyou cannot see the Image below, click 5 M ue Pont (9.0). beteWor:
Use implicit differentiation to find the _ equation 0t the tangent Iine lha cunva 6+2-*= Ifyou cannot see the Image below, click 5 M ue Pont (9.0). bete Wor:...
5 answers
Demand for particular product is given by p 0.54 3500, while supply is modeled by p 2000 Find the equilibrium price and the corresponding quantity 4. Compute consumers' surplus Compute producers' surplus.
Demand for particular product is given by p 0.54 3500, while supply is modeled by p 2000 Find the equilibrium price and the corresponding quantity 4. Compute consumers' surplus Compute producers' surplus....
5 answers
Use dle Fundamental Theorem of Calculus t0 fnd the denvatie of te gien function: (a) 9) = [" In(t + ?)dt(b) h(x) = [ ?sn(t)at() {m)3 [4774
Use dle Fundamental Theorem of Calculus t0 fnd the denvatie of te gien function: (a) 9) = [" In(t + ?)dt (b) h(x) = [ ?sn(t)at () {m)3 [4774...

-- 0.019288--