Troy Has $105,000 Now

question 39

Essay

Troy has $105,000 now.He has a loan of $175,000 that he must pay at the end of five years.He can invest his $105,000 at 10% interest compounded semiannually.Will Troy have enough to pay his loan at the end of the five years?

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Definitions:

Disjunctive Syllogism (DS)

A form of logical argument where, if one has a disjunction (A or B) and knows that A is not true, one can conclude B must be true.

Implication (Imp)

A logical relationship where if the first statement (antecedent) is true, then the second statement (consequent) must also be true.

Quantifier Negation

In logic, the process of negating a quantified statement, which can change the original scope and meaning of the statement.

Universal Generalization

A logical operation that asserts that a property or relation holds for all members of a certain category.