Question

Middle school mathematics teacher accepts a teaching position that pays $30,000 per year. Each year, the expected raise is $1000. How much total money will this teacher
middle school mathematics over the first 30 years?
me middle school mathematics teacher will earn $ in the first 30 years.

Answer 1

The middle school mathematics teacher will make $1,35,000 over the first 30 years.

Given :

a middle school mathematics teacher gets payed $30,000 per year.

It's expected that each year $1000 is raised.

we need to find the teacher's earnings over first 30 years.

This is arithmetic progression and needs the sum of the series.

since the first term or a₁ , d is the common difference and n denoted the number of terms.

Using the above information, we may apply the sum of an AP formula.

Sₙ = (n/2).(2a₁₊(n₋1).d)

n = 30

a₁ = $30,000

d = 1000

therefore, S₃₀ = (30/2).(2(30,000) ₊ (30 ₋ 1).1000

S₃₀ = 15.(60,000 ₊ 1000(29))

S₃₀ = 15(89,000)

S₃₀ = 1,35,000

hence the teacher gets $1,35,000 for the first thirty years.

Learn more about Arithmetic progressions here:

brainly.com/question/18828482

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