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scoray [572]
3 years ago
10

Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says

that her commission is `5\frac{1}{2}\%` of the selling price. How much commission will the salesperson earn by selling a couch for $495?
Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

$467.77

Step-by-step explanation:

CHECK THE COMPLETE QUESTION

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

From the question, the commission of the salesperson is 5 1/2 % , we can convert to improper fraction as 11/5%, then we can convert to decimal by dividing the numerator by denominator which is 5.5% , we can convert from percentage by saying(5.5%/100)

= 0.055

A)How much commission will the salesperson earn by selling a couch for $495?

His Commission will be

(0.055 x $495 )

= $27.23

B.How much money will the store get from the sale of the couch?

Since we know this Commission as $27.23, then the amount the store get from sale will be

(difference between the commission and the selling price)

($495.00- $27.23)

= $467.77

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5 0
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Read 2 more answers
Brainliest to correct!! Please help :)
Zielflug [23.3K]

Answers:  2700 and 5300 in that order

Katie invested <u>$2700</u> at a rate of 3% and <u>$5300</u> at a rate of 4%

===============================================================

Explanation:

  • x = amount invested at a rate of 3%
  • y = amount invested at a rate of 4%

Those two amounts must add to 8000 because this is how much she invests total. So x+y = 8000 is the first equation to set up.

The formula we'll be using is the simple interest formula, which is,

i = p*r*t

where p is the amount deposited or principal, r is the interest rate, and t is the number of years. Luckily, we don't have to worry about the time value t because t = 1 so it effectively goes away. We just need to worry about p and r.

The variable p will be tied directly to the values of x and y, as these are deposit amounts. The r values are decimal forms of the percentages (eg: 3% converts to 0.03)

In short, Katie will earn

  • 0.03x dollars from the first account (3% account)
  • 0.04y dollars from the second account (4% account)

In total, she earns 0.03x+0.04y dollars combined. This is set equal to 293 as this is the stated interest she earns over the entire year.

So another equation to set up is 0.03x+0.04y = 293

This only works for simple interest. Compound interest may likely be a different story.

----------------------------------------------------

To summarize so far, we found these two equations:

  • x+y = 8000
  • 0.03x+0.04y = 293

We have a number of options on how to solve this system. I'll use substitution.

Solve the first equation for y

x+y = 8000

y = 8000-x

Then we'll plug this into the other equation to solve for x like so,

0.03x+0.04y = 293

0.03x+0.04( y ) = 293

0.03x+0.04( 8000-x ) = 293

0.03x+0.04(8000)+0.04(-x) = 293

0.03x+320-0.04x = 293

-0.01x+320 = 293

-0.01x = 293-320

-0.01x = -27

x = -27/(-0.01)

x = 2700

This tells us that Katie invested $<u>2700</u> at 3%

Use this x value to find y

y = 8000-x

y = 8000-2700

y = 5300

She also invested $<u>5300</u> at 4%

----------------------------

As a quick check,

  • x+y = 2700+5300 = 8000

so that works out

Also,

  • 0.03*x = 0.03*2700 = 81
  • 0.04*y = 0.04*5300 = 212
  • 0.03x+0.04y = 81+212 = 293

which also works out. The answers are fully confirmed.

7 0
3 years ago
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