Agnes Fisher sells hair. She is paid a commission of 4.5
percent of his first $4,500 in sales during the month, 5
percent on the next $1,500 and 6.5 percent on all sales
over $6,000. What is her commission on $8,400 worth of
sales?

Question

28-12-2023
Mathematics

Answered

Agnes Fisher sells hair. She is paid a commission of 4.5
percent of his first $4,500 in sales during the month, 5
percent on the next $1,500 and 6.5 percent on all sales
over $6,000. What is her commission on $8,400 worth of
sales?

Answer :

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sqdancefan sqdancefan · Answer 1 · 2023-12-28T21:16:34-05:00

Answer:

$433.50

Step-by-step explanation:

You want the commission on $8400 in sales if the rate is 4.5% for the first $4500, 5.0% for the next $1500, and 6.5% for amounts above that.

Commission

The calculation figures the amount of commission in each sales bracket, and adds them up. It can be written as ...

C = 0.045×4500 +0.05×1500 +0.065×(8400 -4500 -1500)

= 202.50 +75.00 +156.00

= 433.50

Her commission is $433.50 on $8400 worth of sales.

__

Additional comment

For amounts above 6000, this can also be written as ...

C = .045(4500) +.05(6000 -4500) +.065(x -6000)

= 4500(.045 -.05) +6000(.05 -.065) +.065x

= -22.50 -90.00 +.065

= 0.065x -112.50

Then for x = 8400, the commission is 6.5(84) -112.50 = 433.50.

Agnes Fisher sells hair. She is paid a commission of 4.5 percent of his first $4,500 in sales during the month, 5 percent on the next $1,500 and 6.5 percent on all sales over $6,000. What is her commission on $8,400 worth of sales?

Answer :

Commission

Other Questions

Agnes Fisher sells hair. She is paid a commission of 4.5
percent of his first $4,500 in sales during the month, 5
percent on the next $1,500 and 6.5 percent on all sales
over $6,000. What is her commission on $8,400 worth of
sales?