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In the following exercises, find

  1. the amount of discount
  2. the discount rate
(Round to the nearest tenth of a percent if needed.)

Hilda bought a bedspread on sale for $37 . The original price of the bedspread was $50 .

  1. ⓐ $13
  2. ⓑ 26%

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Tyler bought a phone on sale for $49.99 . The original price of the phone was $79.99 .

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In the following exercises, find

  1. ⓐ the amount of the mark-up
  2. ⓑ the list price

Manny paid $0.80 a pound for apples. He added 60% mark-up before selling them at his produce stand. What price did he charge for the apples?

  1. ⓐ $0.48
  2. ⓑ $1.28

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It cost Noelle $17.40 for the materials she used to make a purse. She added a 325% mark-up before selling it at her friend’s store. What price did she ask for the purse?

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Solve Simple Interest Applications

In the following exercises, solve the simple interest problem.

Find the simple interest earned after 4 years on $2,250 invested at an interest rate of 5% .

$450

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Find the simple interest earned after 7 years on $12,000 invested at an interest rate of 8.5% .

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Find the principal invested if $660 interest was earned in 5 years at an interest rate of 3% .

$4400

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Find the interest rate if $2,898 interest was earned from a principal of $23,000 invested for 3 years.

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Kazuo deposited $10,000 in a bank account with interest rate 4.5% . How much interest was earned in 2 years?

$900

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Brent invested $23,000 in a friend’s business. In 5 years the friend paid him the $23,000 plus $9,200 interest. What was the rate of interest?

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Fresia lent her son $5,000 for college expenses. Three years later he repaid her the $5,000 plus $375 interest. What was the rate of interest?

2.5%

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In 6 years, a bond that paid 5.5% earned $594 interest. What was the principal of the bond?

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Solve Proportions and their Applications

In the following exercises, write each sentence as a proportion.

3 is to 8 as 12 is to 32 .

3 8 = 12 32

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95 miles to 3 gallons is the same as 475 miles to 15 gallons.

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1 teacher to 18 students is the same as 23 teachers to 414 students.

1 18 = 23 414

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$7.35 for 15 ounces is the same as $2.94 for 6 ounces.

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In the following exercises, determine whether each equation is a proportion.

In the following exercises, solve each proportion.

In the following exercises, solve the proportion problem.

The children’s dosage of acetaminophen is 5 milliliters (ml) for every 25 pounds of a child’s weight. How many milliliters of acetaminophen will be prescribed for a 60 pound child?

12

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After a workout, Dennis takes his pulse for 10 sec and counts 21 beats. How many beats per minute is this?

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An 8 ounce serving of ice cream has 272 calories. If Lavonne eats 10 ounces of ice cream, how many calories does she get?

340

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Alma is going to Europe and wants to exchange $1,200 into Euros. If each dollar is 0.75 Euros, how many Euros will Alma get?

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Zack wants to drive from Omaha to Denver, a distance of 494 miles. If his car gets 38 miles to the gallon, how many gallons of gas will Zack need to get to Denver?

13 gallons

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Teresa is planning a party for 100 people. Each gallon of punch will serve 18 people. How many gallons of punch will she need?

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In the following exercises, translate to a proportion.

What number is 62% of 395 ?

n 395 = 62 100

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42 is 70% of what number?

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What percent of 1,000 is 15 ?

15 1000 = p 100

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What percent of 140 is 210 ?

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In the following exercises, translate and solve using proportions.

What number is 85% of 900 ?

765

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6% of what number is $24 ?

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$3.51 is 4.5% of what number?

$78

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What percent of 3,100 is 930 ?

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In the following exercises, convert each percent to

  1. ⓐ a decimal
  2. ⓑ a simplified fraction

In the following exercises, convert each fraction to a percent. (Round to 3 decimal places if needed.)

In the following exercises, solve the percent problem.

65 is what percent of 260 ?

25%

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What number is 27% of 3,000 ?

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150% of what number is 60 ?

40

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Yuki’s monthly paycheck is $3,825 . She pays $918 for rent. What percent of her paycheck goes to rent?

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The total number of vehicles on one freeway dropped from 84,000 to 74,000 . Find the percent decrease (round to the nearest tenth of a percent).

11.9%

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Kyle bought a bicycle in Denver where the sales tax was 7.72% of the purchase price. The purchase price of the bicycle was $600 . What was the total cost?

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Mara received $31.80 commission when she sold a $795 suit. What was her rate of commission?

4%

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Kiyoshi bought a television set on sale for $899 . The original price was $1,200 . Find:

  1. ⓐ the amount of discount
  2. ⓑ the discount rate (round to the nearest tenth of a percent)

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Oxana bought a dresser at a garage sale for $20 . She refinished it, then added a 250% markup before advertising it for sale. What price did she ask for the dresser?

$50

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Find the simple interest earned after 5 years on $3000 invested at an interest rate of 4.2% .

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Brenda borrowed $400 from her brother. Two years later, she repaid the $400 plus $50 interest. What was the rate of interest?

6.2%

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Write as a proportion: 4 gallons to 144 miles is the same as 10 gallons to 360 miles.

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Solve for a: 12 a = −15 65

−52

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Vin read 10 pages of a book in 12 minutes. At that rate, how long will it take him to read 35 pages?

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Questions & Answers

differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
hi guys good evening to all
Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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Practice Key Terms 3

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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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