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Find the sales tax and the total cost: Alexandra bought a television set for $724 in Boston, where the sales tax rate was 6.25% of the purchase price.

  1. ⓐ $45.25
  2. ⓑ $769.25

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Find the sales tax and the total cost: Kim bought a winter coat for $250 in St. Louis, where the sales tax rate was 8.2% of the purchase price.

  1. ⓐ $20.50
  2. ⓑ $270.50

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Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got the receipt and saw that the tax was $42.42 . What was the sales tax rate for this purchase?

Solution

Identify what you are asked to find. What is the sales tax rate?
Choose a variable to represent it. Let r = sales tax.
Write a sentence that gives the information to find it. What percent of the price is the sales tax?
Translate into an equation. .
Divide. .
Simplify. .
Change to percent form. .
Check. Is this answer reasonable?
Yes, because 8.5% is close to 10%.
10% of $500 is $50, which is close to $42.42.
Write a complete sentence that answers the question. The sales tax rate is 8.5%.
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Diego bought a new car for $26,525 . He was surprised that the dealer then added $2,387.25 . What was the sales tax rate for this purchase?

9%

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What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?

7.5%

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Solve commission applications

Sales people often receive a commission    , or percent of total sales, for their sales. Their income may be just the commission they earn, or it may be their commission added to their hourly wages or salary. The commission they earn is calculated as a certain percent of the price of each item they sell. That percent is called the rate of commission .

Commission

A commission is a percentage of total sales as determined by the rate of commission.

commission = rate of commission · total sales

To find the commission on a sale, multiply the rate of commission by the total sales. Just as we did for computing sales tax, remember to first convert the rate of commission from a percent to a decimal.

Helene is a realtor. She receives 3% commission when she sells a house. How much commission will she receive for selling a house that costs $260,000 ?

Solution

Identify what you are asked to find. What is the commission?
Choose a variable to represent it. Let c = the commission.
Write a sentence that gives the information to find it. The commission is 3% of the price.
Translate into an equation. .
Simplify. .
Change to percent form. .
Check. Is this answer reasonable?
Yes. 1% of $260,000 is $2,600, and $7,800 is three times $2,600.
Write a complete sentence that answers the question. Helene will receive a commission of $7,800.
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Bob is a travel agent. He receives 7% commission when he books a cruise for a customer. How much commission will he receive for booking a $3,900 cruise?

$273

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Fernando receives 18% commission when he makes a computer sale. How much commission will he receive for selling a computer for $2,190 ?

$394.20

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Rikki earned $87 commission when she sold a $1,450 stove. What rate of commission did she get?

Solution

Identify what you are asked to find. What is the rate of commission?
Choose a variable to represent it. Let r = the rate of commission.
Write a sentence that gives the information to find it. The commission is what percent of the sale?
Translate into an equation. .
Divide. .
Simplify. .
Change to percent form. .
Write a complete sentence that answers the question. The commission was 6% of the price of the stove.
Check if this answer is reasonable. Yes. A 10% commission would have been $145.
The 6% commission, $87, is a little more than half of that.
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Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Practice Key Terms 9

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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