During the first year with a company, Finley was paid an annual salary of $57,000, with a 4% raise for each following year. Which equation represents Finley's annual salary, f (n), during the nth year?

f (n) = 57,000(0.04n – 1)
f (n) = 57,000(1.04n)
f (n) = 57,000(1.04n – 1)
f (n) = 57,000(0.96n)

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Answer:

Step-by-step explanation:

C I took the test

The equation of Finley's annual salary represents 57,000(1.04n – 1) during the nth year.

What is the percentage?

The percentage is defined as ratio expressed as a fraction of 100.

Finley was paid an annual salary of $57,000

with a 4% raise for each following year

Finley's annual salary, during the 2th year

⇒ 4% of 57,000 + 57,000

⇒ (0.04)57,000 + 57,000

⇒ 2280 + 57,000

⇒ 59280

Finley's annual salary, during the 2th year

Determine the difference between year 2 and year 1 salary.

Rate of change = 4% of 57,000 - 57,000

Rate of change = (0.04)57,000 - 57,000

Rate of change = 57,000(0.04 - 1)

Finley's annual salary, during the 5th year

Determine the difference between year 5 and year 4 salary

⇒ 57,000(0.04(5) - 1)

That's the constant.

Finley's annual salary, during the nth year

So, f (n) = 57,000(1.04n – 1)

Hence, the equation of Finley's annual salary represents 57,000(1.04n – 1) during the nth year.

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