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Sagot :
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
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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