Write the Word or Phrase That Best Completes Each Statement $\$ 25$

question 131

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-To remodel a bathroom, a contractor charges $\$ 25$ per hour plus material costs, which amount to $\$ 3,775$ . Therefore, the total cost to remodel the bathroom is given by $f ( x ) = 25 x + 3,775$ where $x$ is the number of hou the contractor works. Find a formula for $f ^ { - 1 } ( x )$ . What does $f ^ { - 1 } ( x )$ compute?

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 25 } - 151\); This computes the total cost if the contractor works \(x\) hours.
• B) \(f ^ { - 1 } ( x ) = \frac { x } { 25 } - 151\); This computes the number of hours worked if the total cost is \(x\) dollars.
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 25 } - 3,775\); This computes the total cost if the contractor works \(x\) hours.
• D) \(f ^ { - 1 } ( x ) = \frac { x } { 25 } - 3,775\); This computes the number of hours worked if the total cost is \(x\) dollars.

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Definitions:

Yield To Maturity

The total return anticipated on a bond if the bond is held until it matures, considering all interest payments and its current price.

Forward Rate

The agreed-upon interest rate for a financial transaction that will take place in the future, mainly used in the context of currencies and bonds.

1-Year Bond

A bond that matures in one year, often used for short-term investment strategies.

Zero-Coupon Bond

A zero-coupon bond is a debt security that doesn't pay interest (a coupon) but is traded at a deep discount, rendering profit at maturity when the bond is redeemed for its full face value.