Recall That the Total Income Received from Time $t = a$

question 46

Multiple Choice

Recall that the total income received from time $t = a$ to time $t = b$ from a continuous income stream of $R ( t )$ dollars per year is
Total value = TV = $\int _ { a } ^ { b } R ( t ) \mathrm { d } t$
Find the total value of the given income stream and also find its future value (at the end of the given interval) using the given interest rate.
$R ( t ) = 800,000 \sin ( 2 \pi t )$ , $0 \leq t \leq 5$ , at 9%

• A)TV = $0, FV = $72,344.91
• B) TV = $0, FV = $327,074.77
• C) TV = $1,600,000, FV = $834,722.23
• D) TV = $0, FV = $256,372.45
• E) none of these

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Definitions:

Business-To-Business Marketing

Marketing strategies and tactics directed towards other businesses rather than to individual consumers.

Competitive Bidding

A procurement process where multiple providers submit bids to win a contract, primarily based on price and quality.

Price Negotiations

The process of discussing and agreeing upon the prices of goods or services between sellers and buyers.

Personal Selling Process

A direct, one-on-one communication whereby a salesperson persuades a prospective buyer to purchase a product.