Carla takes a job with a starting salary of $26,000 for the first year with an annual increase of 5.5%
beginning in the second year. What is Carla's salary, to the nearest dollar, in the 8th year?
$40,304
$38,396
$37,822
$36,411

Respuesta :

Answer:

$37,822

Step-by-step explanation:

S(n) = 26000(1.055)^(n-1)

S(8) = 26000(1.055)^7 ≈ $37822

The Carla's salary, to the nearest dollar, in the 8th year is $37,822 option third is correct.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Carla takes a job with a starting salary of $26,000 for the first year, with an annual increase of 5.5% beginning in the second year.

The nth term can be written as:

a(n) = $26,000(1+0.055)ⁿ⁻¹

Plug n = 8th

a(8) = $26,000(1+0.055)⁸⁻¹

a(8) = 37821.65 ≈ $37,822

Thus, the Carla's salary, to the nearest dollar, in the 8th year is $37,822 option third is correct.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2