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A company gives each new salesperson a commission of $300 for the sale of a new car. The salesperson will receive a $100 increase for each additional car the person sells that week, so the person gets $400 for the next sale that week. Which equation represents the number of cars a salesperson must sell to earn $4,200 in commissions in a week? recall that for an arithmetic sequence, mc025-1. Jpg is equivalent to mc025-2. Jpg. Mc025-3. Jpg mc025-4. Jpg mc025-5. Jpg mc025-6. Jpg.

Sagot :

Lanuel

An equation which represents the number of cars a salesperson must sell to earn $4,200 in commissions is [tex]4200 = \frac{n}{2}(2(300) +(n-1)100)[/tex].

Given the following data:

  • First commission = $300.
  • Second commission = $400.
  • Common difference = $100.
  • Total commission = $4,200.

How to calculate an arithmetic sequence.

Mathematically, the sum of an arithmetic sequence is calculated by using this expression:

[tex]S_n = \frac{n}{2}(2a +(n-1)d)[/tex]

Where:

  • d is the common difference.
  • [tex]a_1[/tex] is the first term of an arithmetic sequence.
  • n is the total number of terms.

Substituting the given parameters into the formula, we have;

[tex]4200 = \frac{n}{2}(2(300) +(n-1)100)[/tex]

Read more on arithmetic sequence here: brainly.com/question/12630565

kingdukkwashere

Answer:

A 4200=n(2(300)+(n-1)100/2)

Explanation:

I got 100% on my unit test. This is the one that makes sense, and if you add up 300+400+500+600 etc. until you get a sum of 4200, this is the formula that matches the number of terms (cars sold), which is 7. He has to sell 7 cars.

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