6
QuizMultiple Choice

Unit Test — Unit test

Question 6 • TX-Pre-Calculus

A worker has four different job offers, each with a contract for seven years. Assuming the job descriptions are identical, for which offer will the worker earn the least over seven years?

Answer
A
a starting salary of $125,000 with a 2% increase each year
B
a starting salary of $110,000 with a 3% increase each year
C
a starting salary of $98,000 with a 8% increase each year
D
a starting salary of $105,000 with a 4% increase each year

Explanation

Add the salaries for all seven years, increasing each year's salary by the stated percentage. For offer D, the total is $105,000 × (1 + 1.04 + 1.04² + … + 1.04⁶), or about $829,300. The comparable totals are about $929,300 for A, $842,900 for B, and $874,400 for C, so the $105,000 starting salary with a 4% annual increase earns the least over seven years.

AI-written and checked against the verified answer.

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