Thursday

August 25, 2016
Number of results: 48,254

**finance mortgage payment**

Purchase a home for $160,000. I intend to put down 20% and finance the remainder over 15 years at 6 3/8% interest. If my taxes & insurance totals $3,600 per year, how much will my total monthly payment be?
*November 21, 2010 by allen*

**Economics**

A 20-year-old student decided to set aside $100 on his 21st birthday for investment. Each subsequent year through his 55th birthday, he plans to increase the investment on a $100 arithmetic gradient. He will not set aside additional money after his 55th birth- day. If the ...
*October 29, 2014 by NEED HELP!!!!*

**Economics**

A 20-year-old student decided to set aside $100 on his 21st birthday for investment. Each subsequent year through his 55th birthday, he plans to increase the investment on a $100 arithmetic gradient. He will not set aside additional money after his 55th birth- day. If the ...
*November 3, 2014 by NEED HELP!!!!*

**math**

A 20-year-old student decided to set aside $100 on his 21st birthday for investment. Each subsequent year through his 55th birthday, he plans to increase the investment on a $100 arithmetic gradient. He will not set aside additional money after his 55th birth- day. If the ...
*November 3, 2014 by Anonymous*

**accounting**

martin and company purchased a fixed asset on 1/4/2010 for 250000.depreciation is o be provided at 10% annually according to the straight line method. the books are closed on 31wst march every year. prepare fixed asset account and depreciation account for the first three years
*March 30, 2016 by lisa*

**College Accounting**

A company had stock outstanding as follows during each of its first three years of operations: 2,500 shares of 10 %, $100 par, preferred stock and 50,000 shares of $10 par common stock. The amounts distributed as dividends are presented below. Determine the total and per ...
*February 22, 2010 by anonymous*

**maths**

If an amount of Rs 10,000/- is invested at a simple interest of 12% per annum, how much it will become at the end of 5 years ? And if this amount is invested at a compound interest of 10% per annum (the interest being compounded on yearly basis), how much it will become at the...
*June 7, 2014 by sadhana thakur*

**ALGEBRA**

A car dealer will sell you a used car for $5,478 with $478 down and payments of $112.08 per month for 60 months. What is the simple interest rate? (Round each answer to the nearest tenth.)
*November 26, 2011 by MONICA*

**ALGEBRA**

A car dealer will sell you a used car for $8,734 with $734 down and payments of $384.67 per month for 24 months. What is the simple interest rate? (Round each answer to the nearest tenth.)
*April 29, 2012 by Mike*

**ALGEBRA**

A car dealer will sell you a used car for $6,162 with $162 down and payments of $214.67 per month for 36 months. What is the simple interest rate? (Round each answer to the nearest tenth.)
*May 27, 2012 by Danny*

**MATH**

A car dealer will sell you a used car for $5,238 with $238 down and payments of $150.83 per month for 48 months. What is the simple interest rate? (Round each answer to the nearest tenth
*July 29, 2012 by LaCresha*

**math**

A car dealer will sell you a used car for $8,544 with $544 down and payments of $272.22 per month for 36 months. What is the simple interest rate? (Round each answer to the nearest tenth.)
*August 26, 2012 by Anonymous*

**Finance**

A three-year bond has 8.0% coupon rate and face value of $1000. If the yield to maturity on the bond is 10%, calculate the price of the bond assuming that the bond makes semi-annual coupon interest payments.
*February 19, 2011 by rad*

**Finance**

A three-year bond has 8.0% coupon rate and face value of $1000. If the yield to maturity on the bond is 10%, calculate the price of the bond assuming that the bond makes semi-annual coupon interest payments.
*April 8, 2011 by Monique*

**Finance**

Find the future value one year from now of a $7,000 investment at a 3 percent annual compound interest rate. Also calculate the future value if the investment is made for two years.
*January 13, 2012 by audrey*

**business math**

If Naomi decides that she will invest $3,000 per year in a 6% annuity for the first ten years, $6,000 for the next ten years, and $9,000 for the next ten years, how much will she accumulate? Treat each ten year period as a separate annuity. After ten years of an annuity, then ...
*April 5, 2010 by Heather*

**Algebra**

I posted this yesterday but no one told me if my answers were correct. Can someone please check my answers. 1. Solve. 7x + 1 + 8x = x + 1 A) Identity B) No solution C) 1 D) 0 My answer: A) Identity 2.The length of one of the equal legs of an isosceles triangle is 8 cm less ...
*April 22, 2007 by Noah*

**Business Math 2**

Megan Green is interested in taking out a personal loan for $1,550. However, last year an identity theft scam left her with poor credit. Since then she has learned about the perils of identity theft from personal experience as well as from a variety of sources, including the ...
*April 26, 2011 by Nina*

**Marketing**

Net-4-You is an internet service provider that charges its 1 million customers $19.95 per month for its service. The company's variable cost are $0.50 per customer per month. In addition, the company spends $0.50 per month per customer, or $6 million annually, on a customer ...
*January 28, 2012 by Anonymous*

**macroeconomics**

23. The next four questions refer to the following price and output data over a five-year period for an economy that produces only one good. Assume that year 2 is the base year. Units of Price Year output per unit 1 16 $2 2 20 3 3 30 4 4 36 5 5 40 6 (a) If year 2 is the base ...
*October 11, 2011 by marc*

**St.therese'sSchool padrauna **

Ravish Saves 15 % Of his pocket money which is Rs 500 per month. How much is his pocket money? How can to solve this Question
*November 3, 2015 by Anonymous*

**Computer science C++**

A problem in timber management is to determine how much of an area to leave uncut so that the harvested area is reforested in a certain period. It is assumed the reforestation takes place at a known rate per year, depending on climate and soil conditions. A reforestation ...
*March 29, 2015 by Computer Science*

**Arithmetic **

The Gardiner dam located 100 km south of Saskatoon is largest earth filled dam in the world. Upon it's opening in 1967, engineers discovered that the pressure from lake deifenbaker had moved the clay based structure 200 cm downstream. Since then, then the dam has been moving ...
*January 18, 2015 by hinata*

**Accounting**

1. On July 1, 2010, Harris Co. issued 6,000 bonds at $1,000 each. The bonds paid interest semiannually at 5%. The bonds had a term of 20 years. At the time of issuance, the market rate of interest was 7%. Harris uses the effective interest rate method to amortize bond premium ...
*December 27, 2013 by Jana*

**Maths**

Max works 7 hours per day Monday to friday and 3 hours per day in the weekend. He does this for 48 weeks of the year. How many hours does he work in total for the year? Write the expression and answer.
*February 26, 2009 by Jessica*

**economics**

Median income in a country rises by $5000 per year. The price of good X falls by $4. Quantity demanded for good x falls by 15,000 units per year. What can we say with good X?
*February 13, 2013 by sade*

**Computer Programming using python**

Now write a program that calculates the minimum fixed monthly payment needed in order pay off a credit card balance within 12 months. By a fixed monthly payment, we mean a single number which does not change each month, but instead is a constant amount that will be paid each ...
*October 24, 2013 by Anonymous*

**Computer Programming using python**

Now write a program that calculates the minimum fixed monthly payment needed in order pay off a credit card balance within 12 months. By a fixed monthly payment, we mean a single number which does not change each month, but instead is a constant amount that will be paid each ...
*October 28, 2013 by Anonymous*

**Math**

Angie needs to have $15,000 at the end of 6 years. How much should she deposit weekly into an ordinary annuity if it earns 6.5% interest compounded weekly?
*April 22, 2014 by Mai*

**Interest**

In 6 years, Jim wants to have $47,230 to buy a new car. (a) How much must Jim save each month if the interest rate is 6% compounded monthly? $ ______ (b) How much of the $47,230 does Jim actually deposit and how much of it is interest? $______(deposit) $______(interest)
*April 9, 2012 by F0reveryoung*

**Macro econ**

Why does the supply of saving slope upward? Why does the investment demand slope downward? Identify the equilibrium in the market. If this is the standard curve, savers will save more when the rate of return, i.e. interest paid, is greater. Likewise, investors borrow less ...
*July 17, 2006 by Logan*

**Math~**

Given Interest Rate 3.75% Compounded Quarterly Equivalent Interest Rate _?_% Compounded Semi-annually formula is: i2=(1+i)^(m2/m1) -1 the answer should be 3.77%. i have alot of similar questions like this...but i need to know how to get that same answer. i tried using hte same...
*April 2, 2010 by Thara!*

**Math **

Lisa takes a loan of $10,500 at a 9% simple interest rate for 7 years. a. How much interest will she pay after 3 years? b. how much interest will she pay in total for the loan? a. $2,835.00; $6,615.00 b. $8,280.00; $9,720.00 c. $13,598.00; $19,194.00*** d. $28,350.00; $66,150.00
*April 6, 2015 by Anonymous*

**math**

Marla earned $400 interest over 2 years on a $4,000 investment. Jovita earned $960 interest over 4 years on her $6000 investment. Who had the higher rate of interest? Explain.
*July 15, 2009 by Miguel*

**math**

The federal minimum wage is $7.25 per hour. a. How much will a worker at McDonald's make in a year if he or she works 8 hours a day, 5 days a week, 52 weeks a year earning the minimum wage? b. USA Today reported that McDonald's gave its Chief Executive Officer (CEO) Don ...
*February 6, 2014 by Emma*

**Herzing**

On March 15, a 20-year, $5000 par value bond series with annual interest of 9 percent was issued. Three thousand of these bonds were issued at a price of 98. Interest is paid semiannually.
*September 21, 2014 by Ralph Howze*

**math**

During the summer holidays,your brother earns extra money mowing lawns.He mows 6 lawns an hour and has 21 lawns to mow.How long will it take him?
*April 7, 2015 by samuel*

**FINANCE**

Pls explain and prodive a resource to fine equation. Computing interest tax savings.Dharma Supply has earnings before interest and taxes (EBIT) of $500,000, interest expenses of $300,000, and faces a corporate tax rate of 35%. a. What is Dharma Supplys net income? b. What ...
*April 5, 2013 by CHASE*

**FINANCE**

Pls explain and prodive a resource to fine equation. Computing interest tax savings.Dharma Supply has earnings before interest and taxes (EBIT) of $500,000, interest expenses of $300,000, and faces a corporate tax rate of 35%. a. What is Dharma Supplys net income? b. What ...
*April 5, 2013 by CHASE*

**Financial accounting**

Last year Rattner had $5 million in operating income(EBIT). The company had net depreciation expense of $1 million and interest expense of $1 million; its corporate tax rate was 40 percent. The company had $14 million in current assets and $4 million in non-interest bearing ...
*September 19, 2007 by diana sheets*

**Macroeconomics**

The annual nominal rate of interest on a bank certificate of deposit is 12%. What would be the effect of an inflation rate of 13% and why?
*October 14, 2012 by Meredith*

**algebra**

Country A has a growth rate of 3.7% per year. The population is currently 5,422,000 and the land area of Country A is 29,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
*June 22, 2015 by Anonymous*

**socials**

wat r main factors of population change? jobs people get? i really not understand this. what meant by exponential rate of growth? rule of seventy? i think it means rapid rate of increase as each generation doubles in size. rule of seventy mean way to estimate number of years ...
*January 4, 2012 by Mohammad*

**Finance**

ROI & NPV: wireless order-tracking system I need to identify the ROI and NPV of the wireless order-tracking system. Here is the information I have been given: - The acquisition cost is $35,000 paid at the time of installation. - It reduces the wait staff by one person: Figure...
*April 11, 2010 by jackie*

**Finance**

Silva Motors just paid a dividend of $2, i.e., D0 = $2.00. The dividend is expected to grow by 100% during Year 1, by 50% during Year 2, and then at a constant rate of 5% thereafter. If Silva's required rate of return is rs = 12%, what is the value of the stock today?
*February 22, 2015 by evett*

**Math**

Anne now has a balance of $900 on her credit card, on which 1.5% interest per month is charged. Assume that she makes no further purchases or payments (and that the credit card company doesn't turn her account over to a bill collector). (a) Find the rule of the function g that...
*November 6, 2010 by Anonymous*

**math**

an annuity has an initial balance of $5000. annual withdrawals are made in the amount of $800 for 9 years, at which point the account balance is zero. what annual rate of interest, compounded annually, was earned over the duration of this annuity? PV = $5000 R = $800 n = 9 i...
*January 10, 2015 by sam*

**MATH**

an annuity has an initial balance of $5000. annual withdrawals are made in the amount of $800 for 9 years, at which point the account balance is zero. what annual rate of interest, compounded annually, was earned over the duration of this annuity? PV = $5000 R = $800 n = 9 i...
*January 10, 2015 by Sam*

**Finance**

Dr. Whitten has decided to purchase equipment that has a cost of $60,000 and will produce a pretax net cash inflow of $30,000 per year over its estimated useful life of six years. The equipment will have no salvage value and will be depreciated by the straight-line method. The...
*July 27, 2011 by Juliette*

**Precal**

The equation is y=80.4- 11 ln x, 100<x<1500 Which approximates the minmum required ventilation rate in terms of the air sapace per child in a public school class room. In the model, x is the air space per child in cubic feet and y is the ventilation rate per child in ...
*March 31, 2011 by Ashlie*

**financial planning**

future vakue of wise buying if a perso saves $63 a month by using coupons and doing comparison shopping whai is the amount for a year, what would be the future value of this annual amount over 20 years assuming and interest rate of 4 percent
*May 23, 2013 by garaline*

**accounting**

I have figured this out I just want to make sure I am correct in my answers. 1.On January 2, 2007, A company issued $100,000 of 5%, 10 year bonds. The bonds will mature in ten years. The bonds were sold for for 95% (or .95 of par) and will pay interest semi-annually, or twice ...
*October 8, 2011 by Renee*

**8th grade**

warren is going to use the $26,200 in his savings account to buy a new car. The car he plans to buy costs $24,244.33 plus sales tax, which is 4 1/4%(fractions (0.0425). How much money will warren have in his account after buying the car and paying the sales tax?
*April 23, 2010 by cat*

**finance: retirement planning**

Tyrone, age 25, expects to retire at age 60. He expects to live until age 90. He anticipates needing $45,000 per year in today's dollars during retirement. Tyrone can earn a 12% rate of return and he expects inflation to be 4%. How much must Tyrone save, at the beginning of ...
*September 11, 2012 by Anonymous*

**compounded interest**

calculate the future value of an investment of $8,500 if it is to be invested for 9 years at an interest rate of 6.1%, compounded quarterly.
*November 13, 2010 by tom*

**MATH**

A car dealer will sell you a used car for $5,430 with $430 down and payments of $183.06 per month for 36 months. What is the simple interest rate? (Round each answer to the nearest tenth.) PLEASE HELP!
*November 5, 2011 by JONATHAN*

**business math**

Bill's monthly payment is $1,056 per month. The principal is $100,000 at a rate of 12 1/2 percent for 35 years. The amount of interest for Bill's 1st payment is $1,011.67. True False
*December 8, 2013 by tina*

**Math**

Bank A is offering an interest rate of 6.60% compounded monthly, while bank B is offering an interest rate of 6.67% compounded quarterly. The effective rate offered by bank A =?%, while the effective rate offered by bank B = ?%.
*March 27, 2011 by Tracy*

**Math**

How much less interest is earned at 6% simple interest for 5 years on a $10,000 investment than a 6% rate compounded daily for 5 years?
*October 15, 2009 by Anonymous*

**math**

A $1500 investments has an annual simple interest rate of 7%. Find the simple interest earned on the investment after 18 months.
*May 23, 2012 by miss c*

**Simple interest math**

How many years will it take to double an investment if the annual simple interest rate is 5.3%? Round to the nearest 10th.
*October 19, 2015 by Kate*

**Math**

marisol owed $384 in interest after a 24 month loan with a simple interest rate of 8.09%. What was the initial amount of the loan?
*February 24, 2016 by Alexa*

**Algebra**

I am not sure how to solve this problem. Could someone please help and explain the proper steps. Determine the annual net cost if the Annual interest of 2.5% is paid if the balance exceeds $750, $8 monthly fee if the account falls below minimum balance $815, account falls ...
*August 6, 2013 by Tricia*

**math**

I need to calculate the effective interest rate of a simple discount note $21,750 at an ordinary bank discount rate of 7.91% for 120 days find the effective rate
*May 25, 2015 by Anoymous*

**Math - Finance**

Product A This product will take 2 years to develop, at a cost of $100,000 in the first year (Yr 0) and $50,000 in the second. Revenue (benefits) in subsequent years is expected to be $100,000 per year. Product B This product will only take a year (Yr 0) to develop, at a cost ...
*September 21, 2013 by gboy- Help please*

**Calculus**

1. In a certain country, the percentage of the population relocating to a new town is given by the following function: p(t) = 20.6e^-0,009t,where 0 _< t _< 52. Time is zero (t = 0) corresponds to the year 1960. 1. Find the rate at which people relocated during the year ...
*April 8, 2013 by Deeno*

**Calculus**

1. In a certain country, the percentage of the population relocating to a new town is given by the following function: p(t) = 20.6e^-0,009t,where 0 _< t _< 52. Time is zero (t = 0) corresponds to the year 1960. 1. Find the rate at which people relocated during the year ...
*April 8, 2013 by Deeno*

**Calculus**

1. In a certain country, the percentage of the population relocating to a new town is given by the following function: p(t) = 20.6e^-0,009t,where 0 t 52. Time is zero (t = 0) corresponds to the year 1960. 1. Find the rate at which people relocated during the year of your...
*April 9, 2013 by Wiz*

**Calculus**

1. In a certain country, the percentage of the population relocating to a new town is given by the following function: p(t) = 20.6e^-0,009t,where 0 t 52. Time is zero (t = 0) corresponds to the year 1960. 1. Find the rate at which people relocated during the year of your...
*April 9, 2013 by Wiz*

**math **

Country A has a growth rate of 2.1% per year. The population is currently 5,747,000 and the land area of Country A is 36,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land.This...
*July 5, 2015 by Leslie*

**Math**

A commuter has 245 dollars in his commuter savings account. this account changes by -15 dollars each week he buys a ticket. In one time period, the account charged by -240 dollars. For how many weeks did the commuter buy tickets How much must he add to his account if he wants ...
*December 10, 2015 by Lily*

**math**

Jim opened an account with $400. The account pays three percent quarterly. How much is in the account at the end of two years?
*February 1, 2012 by help please help!!!*

**Math 111**

Suppose that $5000 is invested in an account with an account with an APR of 12% compounded monthly. Find the future value of the account in 5 years.
*April 24, 2013 by Charlotte*

**Math**

$500 at 6% interest after 90 days would be $507.50 in an account. Right? Yes
*February 27, 2007 by Logan--Check this Please*

**interest**

Find the balance on an account if you invest $100 at 5% for 10 years compounded annually.
*April 17, 2016 by julie*

**interest**

Find the balance on an account if you invest $100 at 5% for 10 years compounded monthly.
*April 17, 2016 by julie*

**business maths**

an inverstment of 35000 is made for 5 years at 6% interest rate.find its compound interest and compound amount if it is compounded quartely.
*May 26, 2011 by rose.m*

**arithmetic**

An investment of $2,000 is earning interest at the rate of 6.2% compounded quarterly over 5 years. Approximately how much interest is earned on the investment?
*March 21, 2014 by tiffany roberts*

**Math**

Find the effective rate of interest (APR) for a loan with a loan amount of $6,300, a time of 270 days, and interest of $685.13. a. 14.5% b. 6.5% c. 9.3% d. 12.3%
*April 21, 2015 by Matt*

**College Personal Finance**

Annual interest of 6.0% paid if balance exceeds $900, $12 monthly fee if account falls below minimum balance, average monthly balance $1,135, account falls below $900 during 2 months. Round the answer to the nearest cent.
*February 6, 2012 by Kendra*

**College Algebra**

f(x)=3.1(x+19 1.Decribe the graph be obtained using transformations of the square root function. First, vertically stretch the graph of f (x) = by the factor 3.1; then shift the results up 19 units. 2.Determine how to tell the model describes the actual height of a four year...
*January 14, 2011 by Brad*

**math/finance**

Assume that you are considering the purchase of a 30-year, noncallable bond with an annual coupon rate of 8.5%. The bond has a face value of $1,000, and it makes semiannual interest payments. If you require an 7.4% yield to maturity on this investment, what is the maximum ...
*September 22, 2012 by eric*

**Finance**

Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal probabilities of 0.5. The alternative risk-free investment in T-bills pays 6 percent per year. a) If you require a risk premium of 12 percent, how ...
*September 30, 2008 by Blake*

**Math**

compound and interest Using the below values please calculate the amount accumulated (future value) *Initial principal=$2000 *Interest Rate=9% *Number of years 7 *Monthly compounding
*April 13, 2011 by John*

**Math**

compound and interest Using the below values please calculate the amount accumulated (future value) *Initial principal=$2000 *Interest Rate=9% *Number of years 7 *Monthly compounding
*April 13, 2011 by George*

**Math**

compound and interest Using the below values please calculate the amount accumulated (future value) *Initial principal=$2000 *Interest Rate=9% *Number of years 7 *Monthly compounding
*April 14, 2011 by John*

**math**

Nazir saved $900 to buy a plasma tv, he borrowed the rest at an interest rate of 18%/a compounded monthy, 2 years later he paid $ 1420.50 for the principal and the interest, how much did the tv originally cost
*January 11, 2012 by Annie*

**math**

Product A This product will take 2 years to develop, at a cost of $100,000 in the first year (Yr 0) and $50,000 in the second. Revenue (benefits) in subsequent years is expected to be $100,000 per year. Product B This product will only take a year (Yr 0) to develop, at a cost ...
*May 27, 2015 by gagan*

**math **

Product A This product will take 2 years to develop, at a cost of $100,000 in the first year (Yr 0) and $50,000 in the second. Revenue (benefits) in subsequent years is expected to be $100,000 per year. Product B This product will only take a year (Yr 0) to develop, at a cost ...
*October 8, 2015 by leanne*

**Finance**

What is the effective annual rate on a certificate of deposit that promises to pay interest at a 6.6 percent rate, compounded monthly?
*February 2, 2011 by Finance*

**math**

How to find the interst rate on an investment of 3000 after four years received 4105.71. What is the interest rate
*April 23, 2014 by CD*

**Business financing**

If you sign a simple discount note for $2500 at a bank rate for 7%, for 3 months, what is the effective interest rate?
*April 3, 2016 by Ashton*

**computer programming**

a car rental company uses the following table to help compute rental fees . Chevrolet $50.00 , corvette 85.00 , Pontiac 53.00 , Buick 60.00 , Oldsmobile 60.00 , Cadillac 70.00 (Rate per Day) . Rate per Mile .27 , .45 , .32 , .32 , .35 , .40 . It have to be in a C++ language
*March 26, 2015 by Marsha*

**Fianace**

A 10-year bond has a coupon rate of 7% anually and a principal payment of $1,000.00. Other similar bonds are paying 9% annually. To determine the value of this bond you must find the interest factors, IF. at: A. 9% for 10 periods B. 9% for 20 periods C. 4.5% for 20 periods d. ...
*October 30, 2013 by Michelle*

**Maths**

Max works 7 hours per day monday to friday and 3 hours per day in the weekend. He does this for 48 weeks of the year. How many hours does he work in total for the year?
*February 26, 2009 by Jessica*

**algebra**

Find the simple interest earned on an investment of $4,000 was $216. Find the interest rate.
*September 14, 2011 by Tranesha*

**Math**

At the South Pole there is no sunshine for 182 days every year, and at the North pole the same applies for 176 days per year. What total would you have if you were to combine these two figures. A 359 days a year B 358 days a year C 357 days a year D 335 days a year I think B ...
*September 2, 2011 by Nicci*

**Finance**

Year Cash Flow 1 $695,000 2 876,250 3 1,057,500 4 1,238,750 5 1,420,000 1. Calculate the IRR and NPV of this project utilizing a 12% discount rate and a 15% cap rate. Ms. Brown was able to secure a loan for $1,540,000, and an equity investor agreed to invest the remaining $660...
*July 19, 2010 by Quentin*

**Math **

Jungle Jim owes three debts: $500 due in one year plus interest at 6% compounded semi-annually, $2000 due in two years, $1000 due in three years plus interest at 5% compounded monthly. He wishes to discharge these debts by paying $500 now and two equal but unknown payments in ...
*January 20, 2014 by Anonymous *

**math**

Jungle Jim owes three debts: $500 due in one year plus interest at 6% compounded semi-annually, $2000 due in two years, $1000 due in three years plus interest at 5% compounded monthly. He wishes to discharge these debts by paying $500 now and two equal but unknown payments in ...
*March 14, 2014 by MathHelp*