Provide an Appropriate Response $.5505050$ to a Fraction by Writing It as the Infinite

question 230

Multiple Choice

Provide an appropriate response.
-Convert the decimal $.5505050$ . . . to a fraction by writing it as the infinite series $\frac { 5 } { 10 } + \frac { 50 } { 10 \cdot 100 } + \frac { 50 } { 10 \cdot 100 ^ { 2 } } + \frac { 50 } { 10 \cdot 100 ^ { 3 } } + \ldots$

• A) \(0.54445554\)
• B) \(0.545\)
• C) \(0.54554555\)
• D) \(0.55050505\)

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Definitions:

Personal Liability

The legal responsibility of an individual to settle debts or obligations from their own assets, rather than those protected by a corporation or limited liability entity.

Business Debts

Obligations that a business incurs as a result of operating activities, including loans, accounts payable, and any other form of borrowed money.

No Personal Liability

A legal principle that protects individual actors within a corporation or legal entity from bearing personal financial responsibility for the entity's liabilities.

Agency Relationships

A legal arrangement where one party, the agent, acts on behalf of another party, the principal, in transactions with third parties.