15
QuizMultiple Choice

Understanding the Concept of a Limit

Question 15 • Precalculus

Micah takes a job with a starting salary of $78,000 for the first year. He earns a 4% increase each year. To the nearest dollar, how much does Micah make over the first seven years?

Answer
A
$567,840
B
$616,067
C
$718,710
D
$718,499

Explanation

Each year’s salary is 4% higher than the previous year, so the seven salaries form a geometric sequence starting at $78,000 with ratio 1.04. Their total is $78,000 × (1.04⁷ − 1) ÷ (1.04 − 1) = $616,066.97, which rounds to $616,067. The correct choice is $616,067.

AI-written and checked against the verified answer.

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