Prove that a tree with n vertices has n - 1 edges, Prove that A tree with n...

Prove that A tree with n vertices has (n - 1) edges.    Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should

Loan amortisation problem, On 30 June 2012 Bill purchase a home by taking o...

On 30 June 2012 Bill purchase a home by taking out a 30 year mortgage of $600,000 at 6% interest per annum, compounded months. Repayments are made at the end of each month. (a) Cal

School mathematics, I am interested in school mathematics online assignment...

I am interested in school mathematics online assignments , homework help, projects etc. I have good knowledge of mathematics and experience of 15+ years teaching mathematics in cen

Find out the hydrostatic force on the triangular plate, Find out the hydros...

Find out the hydrostatic force on the following triangular plate that is submerged in water as displayed. Solution The first thing to do here is set up an axis system

Arithmetic sequences and series,

Volume of prisms, How did the teacher get 30 + 12 + 1.5 for the equation of...

How did the teacher get 30 + 12 + 1.5 for the equation of volume of rectangular prism measuring L=14.4, W= 3, and H= 5? Formula given was V= Bh. My answer was 43.5.14.5 x 3.

Permutation and combination, howmany numbers made by digit 0,1,2,3,5,7,9 bu...

howmany numbers made by digit 0,1,2,3,5,7,9 but any digit isnot repeted

Ogive Frequency Distribution, can we have -0.5 value in LCB? it represents ...

can we have -0.5 value in LCB? it represents days.

Proofs in geomtry, two colum proofs

two colum proofs

Initial recognition of the financial instruments, Grimm plc (Grimm) has the...

Grimm plc (Grimm) has the following transactions: a) On 1 st January 2010, Grimm issued 400,000 convertible £1 6% debentures for £600,000.  The professional fees associated wit