Solve the Problem $\mathrm { V } = 189 \sin 120 \pi \mathrm { t }$

question 452

Multiple Choice

Solve the problem.

-Suppose that for an electrical appliance, voltage is given by $\mathrm { V } = 189 \sin 120 \pi \mathrm { t }$ and amperage by $\mathrm { I } = 1.07 \sin 120 \pi \mathrm { t }$ , where $\mathrm { t }$ is time in seconds. Use identities to write the wattage $\mathrm { W } = \mathrm { VI }$ in the form $\mathrm { W } = \mathrm { a } \cos \omega \mathrm { t } + \mathrm { c }$

• A) \(\mathrm { W } = 101.115 \cos 240 \pi t - 101.115\)
• B) \(W = - 101.115 \cos 120 \pi t + 101.115\)
• C) \(W = - 202.23 \cos 240 \pi t + 202.23\)
• D) \(W = - 101.115 \cos 240 \pi t + 101.115\)

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Definitions:

Equity Method

An accounting technique used when a company holds significant influence over another (associate) but does not have full control, requiring the investment to be recorded at original cost and subsequently adjusted for the investor’s share of the associate's profits or losses.

Sale

is the transaction between two parties where the ownership of goods, services, or assets is transferred from the seller to the buyer for a specified price.

Acquisition Differential

The difference between the purchase price of a subsidiary and the fair value of its identifiable net assets at the acquisition date, commonly known as goodwill.

Consolidated Equity

The total equity of a parent company and its subsidiaries after intercompany balances and transactions have been eliminated.