# 6.3 Solve sales tax, commission, and discount applications  (Page 2/15)

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

1. ⓐ $45.25 2. ⓑ$769.25

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

1. ⓐ $20.50 2. ⓑ$270.50

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

 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%. Diego bought a new car for $\text{26,525}.$ He was surprised that the dealer then added $\text{2,387.25}.$ What was the sales tax rate for this purchase? 9% What is the sales tax rate if a $\text{7,594}$ purchase will have $\text{569.55}$ of sales tax added to it? 7.5% ## 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. $\text{commission}=\text{rate of commission}·\text{total sales}$ 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 $\text{3%}$ commission when she sells a house. How much commission will she receive for selling a house that costs $\text{260,000}?$ ## 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.

Bob is a travel agent. He receives $\text{7%}$ commission when he books a cruise for a customer. How much commission will he receive for booking a $\text{3,900}$ cruise?

$273 Fernando receives $\text{18%}$ commission when he makes a computer sale. How much commission will he receive for selling a computer for $\text{2,190}?$$394.20

Rikki earned $\text{87}$ commission when she sold a $\text{1,450}$ 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.

#### Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
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?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
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?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
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?
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
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
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?
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 ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Privacy Information Security Software Version 1.1a
Good
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Jeannette has $5 and$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?