Find future worth Suppose that A, B and C are non-empty sets and that f : A righ

Question

Find future worth Suppose that A, B and C are non-empty sets and that f : A rightarrow B and g : B rightarrow C are functions. Prove that if g degree f is one-to-one, then f is one-to-one. Prove that if g o f is is onto C, then g is onto C. Parts a and b taken to gether tell us that if g o f is a bijection, then f must be one-to-one and g must be onto C. Is the converse of this statement true? In other words, is it true that if f is one-to-one and g is onto C, then g degree fis a bijection? Is so, then prove it. If not, then provide a counterexample.

Explanation / Answer

GIven:

No. of years: 10, Interest Rate(i): 8

For product x:

Future Worth (Uniform Gradient Method): [((1+i)^n -1)/i^2]-(n/i)

Calculating, we get: 56.08203082*18000= 1,009,476.555

For product y:

Using the same formula, we get: -13.464958*25500= -343,356.4291

Net Worth: 1,009,476.555-343,356.4291= 666,120.1259

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