Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 100 - 15 x } { x ^ { 3 } - 10 x ^ { 2 } + 25 x }$$

question 41

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 100 - 15 x } { x ^ { 3 } - 10 x ^ { 2 } + 25 x }$$

• A) \(\frac { - 4 } { x } + \frac { 4 } { x - 5 } + \frac { 5 } { ( x - 5 ) ^ { 2 } }\)
• B) \(\frac { 4 } { x } + \frac { - 4 } { x - 5 } + \frac { 10 } { ( x - 5 ) ^ { 2 } }\)
• C) \(\frac { 4 } { x } + \frac { - 4 } { x - 5 } + \frac { 5 } { ( x - 5 ) ^ { 2 } }\)
• D) \(\frac { 4 } { x } + \frac { 5 } { x - 5 } + \frac { - 4 } { ( x - 5 ) ^ { 2 } }\)

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Definitions:

Forward Rate

The agreed-upon price for a financial transaction that will occur at a future date, often used in the context of foreign exchange or interest rates.

Spot Rate

The current market price of a currency, security, or commodity available for immediate settlement.

Absolute Purchasing Power Parity

A theory that suggests that, in the absence of transaction costs and other barriers, identical goods and services in different countries should have the same price when expressed in a common currency.

Exchange Rate

The amount one currency is valued at when translated into another currency.