Suppose Your Annual Income Is $I ( t ) = 60,000 + 1,800 t ( 0 \leq t \leq 3 )$

question 61

Multiple Choice

Suppose your annual income is $I ( t ) = 60,000 + 1,800 t ( 0 \leq t \leq 3 )$ dollars per year, where t represents the number of years since you began your job, while your annual expenses are $E ( t ) = 50,000 + 1,400 t ( 0 \leq t \leq 3 )$ dollars per year. Find the area between the graphs of $I ( t )$ and $E ( t )$ for $( 0 \leq t \leq 3 )$ . Round your answer to the nearest dollar.

• A)Area = $31,800
• B) Area = $33,600
• C) Area = $188,100
• D) Area = $344,400
• E) Area = $156,300

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Definitions:

Spotlight Effect

The tendency to overestimate the extent to which one's actions and appearance are noted by others.

Inferiority Complex

A psychological condition that exists when a person feels inferior to others in some way, leading to lowered self-esteem and confidence.

Weak Superego

A term in Freudian psychoanalysis referring to an underdeveloped superego, which results in difficulty controlling impulses and adhering to societal norms and morals.

Reality Principle

In psychoanalytic theory, it is the counterbalance to the pleasure principle, guiding behavior to consider the external world and act in realistic ways.