One employee of a computer store is paid a base salary of $1,093 a month plus a 7% commission on all sales over $4,890 during the month. How much must the employee sell in one month to earn a total of $3,559 for the month?

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Answer:

Let's break down the problem step by step:

1. Calculate the amount of commission the employee needs to earn to reach the total of $3,559.

 

  Total earnings = Base salary + Commission

  Commission = Total earnings - Base salary

  Commission = $3,559 - $1,093

  Commission = $2,466

2. Determine the sales amount that corresponds to the calculated commission.

  Commission is calculated as 7% of the sales amount over $4,890.

  Let's denote the sales amount as \(x\).

  Commission = 7% of (\(x\) - $4,890)

  \(2,466 = 0.07 \times (x - 4,890)\)

  Solve for \(x\):

  \(\frac{2,466}{0.07} = x - 4,890\)

  \(35,228.57 = x - 4,890\)

  \(x = 40,118.57\)

Therefore, the employee must sell at least $40,118.57 in one month to earn a total of $3,559, considering the base salary and the 7% commission on sales over $4,890.

Step-by-step explanation: