Sunday

October 23, 2016
Number of results: 127,411

**calculus**

Hello! Just needed help with understanding this specific question. We never really wet over Euler's method so I'm not sure how to go about it. "Use Euler's method in order to solve the initial value problem below. dy/dx = x-3 and y=4 when x=1 Use Euler's method with increment'...

*February 3, 2015 by megan*

**Math/Euler's Method**

Consider a cooling cup of coffee whose initial temperature is 205. The room temperature is held at 70. Suppose k = 1/16. Let y be the temperature, and y' its time derivative. ----------------------------------- I have the differential equation: y' = (-1/16)(y-70) Initial ...

*June 7, 2007 by COFFEE*

**Euler's method help in Calculus?????**

Let dy/dx=xy . Use Euler's method with step size of 0.5 and the initial condition of y(0) = 3 to estimate y(2). I really am not sure if I did this right, but I got 3.4568 for y(2). I actually feel like it is wrong.

*December 9, 2014 by Jane*

**calculas**

Consider a cooling cup of coffee whose initial temperature is 205. The room temperature is held at 70. Suppose k = 1/16. Let y be the temperature, and y' its time derivative. ----------------------------------- I have the differential equation: y' = (-1/16)(y-70) Initial ...

*March 12, 2012 by pasta!*

**calc check: euler's method**

Given the differential equation: dy/dx = y(1+x), y(0)=1, Use Euler's method with step size .1 to approximate y(.3). y' = y(1+x), y'(0) = 1(1+0)=1 ->the solution has slope 1 at the point (0,1); x0=0, y0=1, h=0.1, F(x,y)=y(1+x) y1=y0+h*F(x0,y0) y1=1 + 0.1(1(1+0)) y1=1.01 y2=1...

*July 1, 2007 by COFFEE*

**Calc: euler's method**

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem below. Give your answer correct to 4 decimal places. y' = 1 - xy y(0) = 0 y(1) = ____ ? ... help, this is what i've done but got the wrong answer.. h = 0.2 x0 = 0 y0...

*June 20, 2007 by COFFEE*

**Statics**

You have a stainless steel hollow rod (E=193GPa,ν=0.29) that has an inner radius r of 1.2cm, a wall thickness t of 0.7mm, and a length L of 5cm. Calculate the critical loads, in kN, for local buckling and Euler bucking (Pcr,local and Pcr,Euler, respectively). Which would ...

*October 23, 2014 by qwerty*

**cal**

Use Euler's method with step size0.4 to estimatey(2) , where y(x) is the solution of the initial-value problem y'=4x+y^2, y(0)=1. . y(2)=

*March 12, 2012 by carlton*

**calculus 2**

Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y'= -3x+y^2, y(0)=1

*March 13, 2012 by Geminese*

**calculus 2**

Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y'= -3x+y^2, y(0)=1

*March 13, 2012 by Geminese*

**calculus**

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem. y' = 5x + y^2, y(0)=-1.

*March 14, 2012 by Carlton*

**CAL 2**

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y'=5x+y^2, y(0)=-1 y(1)=

*March 15, 2012 by Josh*

**Cal**

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem. y' = 5x + y^2, y(0)=-1. y(1)=

*March 15, 2012 by McClain*

**math**

An initial-value problem is given by the differential equation, f(x,y)=x(1-y^2), y(1)=0.07 Use the Euler-trapezoidal method with a step-size h = 0.1, to obtain the approximate value of y(1.1). Give your answer to 4 decimal places.

*September 26, 2012 by enigma*

**calculus**

Suppose f satisfies the differential equation dy/dx=y+1 and f(0)=1. In other words, f′(x)=f(x)+1 and f(0)=1. Use Euler's method with a step size of 0.5 to approximate f(1.5).

*March 12, 2013 by Joe*

**calc 2**

Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and y4 of the solution of the initial-value problem y' = y − 3x, y(4) = 0.

*March 26, 2016 by TayB*

**maths**

An initial-value problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Euler-midpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, to find the exact value of y(0.1). Hence, ...

*September 29, 2013 by Matthew*

**calculus**

Use the Euler Method with a step size of 0.2 to estimate f(3) where f′(x)=2x−7 and f(2)=4. Your answer should be correct to two decimal places.

*March 9, 2013 by lisa*

**math**

An initial-value problem is given by the differential equation, f(x,y) = x + y, y(0) = 1.64 The Euler-midpoint method is used to find an approximate value to y(0.1) with a step size of h = 0.1. Then use the integrating factor method, to find the exact value of y(0.1). Hence, ...

*September 26, 2012 by enigma*

**calculus**

Use Euler's method with given values of to obtain an approximation of the initial value problem when x=3 . Round your answers to four decimal places, if necessary. dy/dx= x+y, y(0) =3 n=4, y(3)= n=6, y(3)=

*April 21, 2012 by Anonymous*

**calculus**

use euler's method with delta x=0.1 to estimate y when x=0.4 for the solution curves satisfying y(0)=1 and y(-1)=0. I made the table but i don't know what values to use or plug in.

*December 4, 2008 by kenneth*

**Calculus**

Sorry, I need more help! I am reallly struggling with Euler's method, and here's a problem I need help on: y'=2y + sin(x), y(0)=0, dx=0.1, the interval is 0 to 1, and f(x)= [e^(2x)-2sin(x)-cos(x)]/5

*December 18, 2006 by Raine*

**Geometry**

How to construct Euler's line??? Anybody know any good websites or can just explain how to construct the orthocenter centroid and whatever else is in Euler's line????? Im Soooooo confused!!!!

*September 29, 2009 by Delaney*

**Calculus**

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem given below. (Round your answer to four decimal places.) y' = 1 − xy y(0) = 0 I don't even know how to start!

*March 15, 2016 by Kaitlyn*

**calculus**

Use Euler's method with step size .2 to estimate y(.4), where y(x) is the solution of the initial value problem y=x+y^2, y=0. Repeat part a with step size .1

*November 10, 2013 by Bryan*

**calculus 2**

Use Euler's method with a step size of 0.2 to estimate y(1), where y(x) is the solution of the initial value problem y' = 6x+y^2, y(0)=0. Round your final answer to 4 places, but keep more places on the intermediate steps for accuracy.

*April 11, 2016 by TayB*

**discrete math **

Consider the graph given above. Add an edge so the resulting graph has an Euler circuit (without repeating an existing edge). Now give an Euler circuit through the graph with this new edge by listing the vertices in the order visited. lrc.alasu.edu/webwork2_course_files/MAT256...

*May 6, 2012 by carlton*

**GEOMETRY**

A __________ __________ touches every vertex exactly once, but does not return to its origin. ________________________________________ A. Hamiltonian circuit B. Hamiltonian path C. Euler circuit D. Euler path

*July 13, 2010 by BOB*

**PSYCHOLOGY**

provide a situation when scientific method, case study method, survey method, Naturalistic observation method, Correlation method, and Experimental method could be applied

*November 20, 2009 by scooby*

**psy210**

psy 210 CheckPoint: Research Methods Research Method Description Application Scientific method Case study method Survey method Naturalistic observation method Correlation method Experimental method

*February 21, 2010 by Anonymous*

**Psy**

Complate the following chart. The first column shows the name of a research method used in psychology.In the second column, write a brief description of that research method. In the column, provide a situation when this method could be applied. Scientific method, Case study ...

*January 25, 2011 by Nan*

**Calculus**

Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) is the solution of the initial-value problem below. Give your answer correct to 4 decimal places. y' = x - xy y(1) = 0 h = 0.2 Since I am at y(1) = 0 and not y(0) = 0 would I just do this twice? As in: y1 = 0...

*June 22, 2007 by COFFEE*

**Calculus**

Given the differential equation: dy/dx = y(1+x), y(0)=1, Use Euler's method with step size .1 to approximate y(.3). y' = y(1+x), y'(0) = 1(1+0)=1 ->the solution has slope 1 at the point (0,1); x0=0, y0=1, h=0.1, F(x,y)=y(1+x) y1=y0+h*F(x0,y0) y1=1 + 0.1(1(1+0)) y1=1.01 y2=1...

*June 26, 2007 by COFFEE*

**calculus**

Given the differential equation: dy/dx = y(1+x), y(0)=1, Use Euler's method with step size .1 to approximate y(.3). y' = y(1+x), y'(0) = 1(1+0)=1 ->the solution has slope 1 at the point (0,1); x0=0, y0=1, h=0.1, F(x,y)=y(1+x) y1=y0+h*F(x0,y0) y1=1 + 0.1(1(1+0)) y1=1.01 y2=1...

*June 29, 2007 by COFFEE*

**Really need help in Calculus Problem?!**

Use Euler's method with step size .2 to estimate y(.4), where y(x) is the solution of the initial value problem y=x+y^2, y=0. Repeat part a with step size .1

*November 10, 2013 by Bryan*

**PSY 210**

Complete the following chart. The first column shows the name of a research method used in psychology. In the second column, write a brief description of that research method. In the third column, provide a situation when this method could be applied. Research Method ...

*November 17, 2008 by MIKE THOMPSON*

**Math**

Truth tables are related to Euler circles. Arguments in the form of Euler circles can be translated into statements using the basic connectives and the negation as follows: Let p be gthe object belongs to set Ah. Let q be gthe object belongs to set Bh All A is B is ...

*April 26, 2010 by Deb*

**math**

Truth tables are related to Euler circles. Arguments in the form of Euler circles can be translated into statements using the basic connectives and the negation as follows: Let p be gthe object belongs to set Ah. Let q be gthe object belongs to set Bh All A is B is ...

*April 27, 2010 by Deb*

**Calculus II**

I have a function RC * dvout/dt + vout = RIin and the initial condition vout(1) = 0 for t = 0 to 7.5. When I set up the equation to be solved using Euler's method, is it: vout = vout + f(vout,t)*step size, with f(vout,t) = (RIin - vout)/RC.

*March 24, 2010 by Jenny*

**Calculus II**

I have a function RC * dvout/dt + vout = RIin and the initial condition vout(1) = 0 for t = 0 to 7.5. When I set up the equation to be solved using Euler's method, is it: vout = vout + f(vout,t)*step size, with f(vout,t) = (RIin - vout)/RC.

*March 24, 2010 by Jenny*

**calc check please?**

Given the differential equation: dy/dx = y(1+x), y(0)=1, Use Euler's method with step size .1 to approximate y(.3). ... please check this for me! no one has responded to this question yet.. thanks. y' = y(1+x), y'(0) = 1(1+0)=1 ->the solution has slope 1 at the point (0,1...

*July 2, 2007 by COFFEE*

**college mathematics**

9. Create a Euler diagram to determine whether the syllogism is valid or invalid. All children like games. John likes games. John is a child., <--At the beginning of this sentence which is the last sentence is suppose to have three dots shaped like a triangle. (I am having ...

*February 8, 2012 by cody*

**PSYCHOLOGY answer included**

provide a situation when scientific method, case study method, survey method, Naturalistic observation method, Correlation method, and Experimental method could be applied would collecting DNA be for scientific mthod?

*November 20, 2009 by scooby*

**mechanics**

You have 1kg of aluminum (E=69GPa) to make a cylindrical tube with a high Euler buckling load. The tube must have a length L of 0.5m. You can either make a solid tube, or a thin walled tube with a wall thickness, t=0.5cm. The density of aluminum is 2700kg/m3. The tubes are pin...

*November 3, 2015 by alalal*

**math**

What is e? I know it is Euler's constant and the natural number whatever but what is it?

*November 16, 2012 by mushroomhelper*

**Algebra**

Solving system of linear equations by using the apropiate method name the method and the x,y coordinates 1)X=4y+8 2x-8y=-3 2)3x-7y=6 elimination method 2x+7y=4 (2,0) 3)5x-2y=12 elimination method 3x-2y=-2 (7,23/2) 4)9x-8y=42 elimination method 4x+8y=-16 (2,-3) 5)X=4y+8 ...

*December 1, 2008 by Chris*

**geometry**

determine why Euler's formula continues to hold for the polyhedron formed by cutting corners off of an octahedron. a) for an octahedron V=__, F=__,E=__ b) when you slice off one corner of the octahedron, you (gain or lose)__ edges. C) therefore, the total change in V is __, ...

*December 13, 2010 by m*

**Statics**

You have 1kg of aluminum (E=69GPa) to make a cylindrical tube with a high Euler buckling load. The tube must have a length L of 0.5m. You can either make a solid tube, or a thin walled tube with a wall thickness, t=0.5cm. The density of aluminum is 2700kg/m3. The tubes are pin...

*October 23, 2014 by qwerty*

**O.D.E**

If someone can help me with this ODE I would greatly appreciate it. Thank you in advance! ------ Consider the differential equation dx/dt = 1/2x This is a separable O.D.E., so we know how to find all of its solutions: they are of the form x(t) = sqrt(t+c) where C is a constant...

*April 25, 2016 by Steve*

**Math**

Compute 2^1000(mod 121) using Euler.

*August 2, 2012 by Jonathan*

**Math**

Show that Euler's formula holds for a right pentagonal prism.

*January 7, 2010 by Michelle*

**Biostatistic**

An enzymatic method for determining alcohol in wine is evaluated by comparison with a gas-chromatography (GC) method. the same sample is analyzed several times by both methods with the following results (% ethanol). Enzymatic method: 13.1, 12.7, 12.6, 13.3, 13.3. GC method: 13...

*December 20, 2012 by Jam*

**Math**

Show that Eulers formula holds for the polyhedra described in A right pentagonal prism

*March 11, 2010 by Anonymous*

**math**

A polyhedron has 6 faces and 4 vertices. Use Euler's formula to calculate the number of edges.

*June 8, 2014 by lily*

**Math**

Use Eulers formula to answer the question. A polyhedron has 12 edges and 6 faces, how many vertices does it have?

*February 10, 2011 by Rena*

**math**

Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method?

*July 1, 2008 by yolanda*

**MATH**

SYSTEMS OF EQUATIONS CAN BE SOLVED BY GRAPHING OR BY USING SUBSTITUTION OR ELIMINATION. WHAT ARE THE PROS AND CONS OF EACH METHOD? WHICH METHOD DO YOU LIKE BEST? WHY? WHAT CIRCUMSTANCES WOULD CAUSE YOU TO USE A DIFFERENT METHOD?

*February 4, 2009 by Davisha*

**accounting**

1) Straight-Line Method 2) Declining-Balance Method 3) Double-Declining-Balance Method 4) Sum-of-the-Year's digits Method What are the main characteristics of each method and in what situation would you use each of these methods?

*February 15, 2009 by China*

**accounting**

1) Straight-Line Method 2) Declining-Balance Method 3) Double-Declining-Balance Method 4) Sum-of-the-Year's digits Method What are the main characteristics of each method and in what situation would you use each of these methods?

*February 18, 2009 by China*

**math**

SYSTEMS OF EQUATIONS CAN BE SOLVED BY GRAPHING OR BY USING SUBSTITUTION OR ELIMINATION. WHA ARE THE PROS AND CONS OF EACH METHOD? WHICH METHOD FO YOU LIKE BEST? WHY? WHAT CIRCUMSTANCES WOULD CAUSE YOU TO USE A DIFFERENT METHOD?

*February 4, 2009 by DAVISHA*

**math**

Use Eulerʹs formula to answer the question. A polyhedron has 36 edges and 21 faces. How many vertices does it have?

*October 29, 2009 by jeng*

**math**

Describe what happens to the three points of concurrency that determine the Euler line when the triangle is (a) isosceles, (b) equilateral.

*January 24, 2010 by BB*

**Science**

A repair shop tested two methods(a & B) of replacing a broken roller. In testing method A, these times in minutes were measured (5 trials), 2,4,9,3,2. In testing methods B, these times in minutes were measured (6 trials), 3,7,5,8,4,3. Use the 0.10 significance level, and ...

*December 19, 2011 by Debra *

**creative activities in other curriculum areas**

which one of the following methods is preferred for teaching songs from recordings to young children? a-the phrase-wise method b-the whole-song method c-the combination method d-the strong-melody method

*December 6, 2010 by nikki*

**CHEMISTRY **

Cite three methods of analysis of a substance from a given sple by titrimetric method of analysis. My answer is: -direct method -indirect method -back titration method Is it right??

*February 23, 2015 by Shay*

**business**

If creditors give you no credit for payments made during the billing period, this is called the: A. APR method. B. discount method. C. previous balance method. D. adjusted balance method. My choice is A, but Im a little confused.

*September 26, 2012 by clara*

**math**

Multiply. Use the lattice method. 277*32= I hope your teacher does not teach this method as a viable method for multiplication. A week ago Yahoo presented this method as a novelty and as a "math trick". This website explains and shows diagrams for multiplying using the lattice...

*August 8, 2007 by Haytheline Thomas*

**Math**

Noting that 666=2x3^2x37, find phi(666) using Euler Theorem.

*August 2, 2012 by Jonathan*

**Numerical method - numerical integration**

Evaluate the following integration: I(f) = integral sign from 0 to 20 of e^(-x) dx 1. Analytically 2. Rectangle method with h= 10,5,4,2,1. 3. Mid-point method with h= 10,5,4,2,1. 4. Trapezoidal method with h= 10,5,4,2,1. 5. Simpson's method with h= 10,5,4,2,1. 6. Using ...

*October 31, 2010 by Anonymous*

**Numerical method - numerical integration**

Evaluate the following integration: I(f) = integral sign from 0 to 20 of e^(-x) dx 1. Analytically 2. Rectangle method with h= 10,5,4,2,1. 3. Mid-point method with h= 10,5,4,2,1. 4. Trapezoidal method with h= 10,5,4,2,1. 5. Simpson's method with h= 10,5,4,2,1. 6. Using ...

*November 1, 2010 by Anonymous*

**Math**

Four friends decide to buy a bag of 56 gold coins..Each person contribute the following Sue $320 John $300 Mike $220 Betty$ 160 Please determine the apportionment using a.Hamilton method b.Jefferson method C.Webster method

*April 24, 2011 by Mike...*

**Economics**

Verify Eulers theorem for the function f(x,y)=30(x^0.5)(y^1.5)-2(x^3)(y^(-1))

*May 6, 2010 by Anonymous*

**math **

use the euler diagram to determine if the syllogism is valid or invalid 1. Football and studying don't mix Don is football player. therefore: Don does not study

*October 8, 2010 by natacha*

**personal finances **

If creditors add finance charges after subtracting payments made during the billing period, this is called the: A. APR method. B. average daily balance method. C. previous balance method. D. adjusted balance method. its not A or D someone help me

*April 17, 2014 by tony*

**PSYCHOLOGY answer included**

provide a situation when scientific method, case study method, survey method, Naturalistic observation method, Correlation method, and Experimental method could be applied scientific= collecting dna case study= Where the psychologist asks the patient of the back ground history...

*November 20, 2009 by scooby*

**math**

I'm having trouble trying to identify which method is best to use for graphing when faced with an equation. Are there certain things that I need to look out for that would indicate if it were best to use the table of values, slope-intercept method, or the mx+b method?

*September 17, 2008 by sarah*

**math elimination method**

elimination method really confuses me. solve by elimination method 5r -3s = 17 3r + 5s =17 A. solution is ______ (ordered pair, integer or fraction) B. Infinitely many C. No Solution

*July 9, 2010 by Lorri*

**Geometry**

Show that Euler's formula holds for a right pentagonal prism.

*February 19, 2010 by Nicole*

**numerical methods**

x = 2x + 3y , x(0) = -2.7 y = 2x + y , y(0) = 2.8 [ 0 , 1 ] h = 0.05 EULER, RK4 AND TRAPEZOIDAL.. FIRST 10 ITERATION ONLY

*April 12, 2012 by zefron*

**Math**

Xander says that the place value sections method, the expanded notation method, and the algebraic notation method of multiplying a one-digit number by a two-digit number are pretty much the same. Do you agree or disagree? Explain.

*October 13, 2014 by Amari*

**3rd grade math**

In estimating- what is the counting-up method and the trade-first method?

*March 12, 2009 by Barbara*

**Math**

Find the LCM for the given numbers by an appropriate method. 24, 54, and 27 Show your method.

*October 4, 2009 by Anonymous*

**math**

What is the difference between Gauss Jordan method and the Echelon method

*July 22, 2010 by Holly*

**Algebra**

Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method?

*March 4, 2008 by John*

**algebra**

o Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? o What circumstances would cause you to use a different method?

*January 26, 2010 by lacey*

**Math**

Is there a difference between solving a system of equations by the algebraic method and the graphical method? Why or why not?

*March 10, 2010 by Craig*

**Math-examples?**

Can anyone give an example of recursive method, explicit method using the variable n?

*December 20, 2013 by Helen*

**Math-examples?**

Can anyone give an example of recursive method, explicit method using the variable n?

*December 20, 2013 by Helen*

**Math**

The method used to calulate depreciation for federal tax purposes is the ? Is it the declining balance method

*November 9, 2008 by Debbie*

**math**

Elimination Method....I am not understanding this method either and need some help here is what I am working on: 1) x+8y=33 -x+4y=3 2) 5x+5y=-7 7x-2y=13 3) 0.3x-0.2y=4 0.5x+0.3y=-7/17 Can someone please help me with these!

*March 13, 2010 by Kristin*

**PLEEEEEAAAASE HELP WITH DIFFERENTIAL EQ PROBLEMS!!**

1) What are the equilibrium solutions to the differential equation and determine if it is stable or unstable with the initial condition y(-4)=1: 0.1(y+2)(4-y) 2) Use Euler's method with step size=0.5 and initial condition y(0)=3 to solve the equation y(0)=3 to estimate y(2), ...

*December 8, 2014 by Karen*

**Math**

Use the initial condition y(0)=4 and step size h=.25, calculate the backward Euler on [0,1] for the ODE y'=10y-10y^2. Solve the ODE exactly and compute the errors at t=1.

*March 25, 2015 by Ashley*

**Math**

Create a Euler diagram to determine whether the syllogism is valid or invalid. Some musicians stay up late. Greg is a musician. Greg stays up late.

*July 15, 2011 by Jen*

**Math**

Estimate each quotient. Tell which method you used. Do I respond with by telling I used the method of rounding to solve? Ex. 195 divided by 4. Answer 200 divided 4 = 50. Method I used is rounding/estimating.

*August 23, 2012 by Micaya*

**math**

Solve by substitution method 9x+6y=21-9x+y=35 What is the solution of the method?

*June 16, 2009 by micheal*

**Alegebra 1**

HELP PLEASE!! Show that Eulers formula holds for the polyhedra called a right pentagonal prism?

*August 14, 2009 by Christina*

**math**

calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days for a payment to be received and recorded and that the month is 30 days long. ( round your answers to the nearest cent). $ 400 balance, 15%, $ 50 payment. A) previous balance ...

*March 2, 2013 by Andrew*

**math**

calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days for a payment to be received and recorded and that the month is 30 days long. ( round your answers to the nearest cent). $ 400 balance, 15%, $ 50 payment. A) previous balance ...

*March 2, 2013 by Andrew*

**math**

calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days for a payment to be received and recorded and that the month is 30 days long. ( round your answers to the nearest cent). $ 400 balance, 15%, $ 50 payment. A) previous balance ...

*March 3, 2013 by Andrew*

**math**

calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days for a payment to be received and recorded and that the month is 30 days long. ( round your answers to the nearest cent). $ 400 balance, 15%, $ 50 payment. A) previous balance ...

*March 3, 2013 by Andrew*