mariahmosher0
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Alberto is considering taking a job with a company where the sequence {$50,000; $50,700; $51,400; $52,100; $52,800} represents the salary schedule for the first five years of employment. If the pattern continues, what can Alberto expect to earn in his sixth year of employment?

Respuesta :

samuelpoly011

Answer:

$53,500 is the answer.

Step-by-step explanation:

The question is an Arithmetic Progression of common difference (d) = 700

a₁ = $50,000

a₂ = $50,700

d = $700

sixth year can be written as,

a₆ = a + 5d

a₆ = 50,000 + 5 × 700

a₆ = 50,000 + 3,500

a₆ = 53,500

therefore, Alberto will earn $53,500 in his sixth year of employment.

itzBaraa

His salery grows by 700 per year, as you can see. This can be represented as [tex]700x+50000[/tex], where 50,000 represents the starting wage, 700 represents the annual increase, and [tex]x[/tex] represents the year (starting from 0). So, if you want to know his wage in his sixth year of employment, simply substitute 5 for [tex]x[/tex]. Note that [tex]x[/tex] is the number of years minus one. As a result, the answer is [tex]700(5)+50000=53500[/tex].

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