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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

I'm interested in biological psychology and cognitive psychology
Tanya Reply
what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
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miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
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Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Manix Reply
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
good👍
Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
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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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