/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 59 what is a percent?... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 59

what is a percent?

Short Answer

Expert verified
A percent is a fraction whose denominator is 100. It can also be represented as a decimal. For example, 50\% can also be expressed as 0.5 or \(\frac{1}{2}\).

Step by step solution

01

- Definition

A percent is a special type of fraction. The word percent comes from the Latin 'per centum', which means per hundred. So, when you see a number followed by the \% symbol, it means that many per 100. For instance, 50\% means 50 per 100 or half.
02

- Conversion to Decimal

Percentages can also be converted to decimals. To do this, simply divide the percentage by 100. For example, 50\% becomes 0.5 when converted to a decimal.
03

- Conversion to Fraction

Percentages can be converted to fractions as well. Using the concept of 'per 100', the percentage is the numerator and 100 is the denominator. For example, 50\% becomes \(\frac{50}{100}\), which simplifies to \(\frac{1}{2}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Fractions
Fractions are a way to represent parts of a whole. They consist of a numerator, which is the top number indicating how many parts you have, and a denominator, the bottom number indicating how many parts make up a whole. For example, in the fraction \(\frac{1}{2}\), the numerator is 1 and the denominator is 2.
  • Numerator: The number on top, counts the parts.
  • Denominator: The number on the bottom, shows total parts.
Fractions are important in many areas, including everyday life and mathematical calculations. Understanding them is crucial in understanding percentages, which are essentially fractions with a denominator of 100.
Decimal Conversion Simplified
Decimal conversion refers to turning numbers, such as fractions, into their decimal form. This is done by performing division between the numerator and the denominator. For example, converting \(\frac{1}{2}\) to a decimal involves dividing 1 by 2, resulting in 0.5.
  • Fractions to Decimals: Divide the numerator by the denominator.
  • Percent to Decimal: Divide the percentage value by 100.
Converting percentages to decimals is particularly straightforward: simply divide by 100. For instance, 25\% becomes 0.25. This skill is useful for easier mental calculations and is often used in financial aspects like interest rates.
The Percent Symbol and Its Meaning
The percent symbol (\(\%\)) is universally used in expressing percentages. Derived from 'per centum', meaning per 100, this symbol denotes a ratio as parts per hundred. When you encounter 60\%, it translates to 60 out of 100, or \(\frac{60}{100}\).
  • Symbol: \(\%\) conveys parts per hundred.
  • Use: Common in statistics, finance, and everyday calculations.
The percent symbol helps in easily comparing quantities. Whether calculating discounts, expressing grades, or analyzing statistics, it makes visualization and comparison straightforward.
The Role of Mathematics Education
Mathematics education forms the backbone of understanding concepts like fractions, decimals, and percentages. It builds foundational skills required for critical thinking and problem-solving in various real-world contexts.
  • Skill Development: Enhances logical reasoning and numerical skills.
  • Practical Applications: Useful in commerce, science, and daily scenarios.
A well-rounded mathematics education equips students with essential tools that not only aid in academia but also empower them in daily life choices, ensuring informed financial decisions and fostering analytical thinking.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Exercises 19 and 20 refer to the stock tables for Goodyear (the tire company) and Dow Chemical given below. In each exercise, use the stock table to answer the following questions. Where necessary, round dollar amounts to the nearest cent. a. What were the high and low prices for a share for the past 52 weeks? b. If you owned 700 shares of this stock last year, what dividend did you receive? c. What is the annual return for the dividends alone? How does this compare to a bank offering a \(3 \%\) interest rate? d. How many shares of this company's stock were traded yesterday? e. What were the high and low prices for a share yesterday? f. What was the price at which a share last traded when the stock exchange closed yesterday? g. What was the change in price for a share of stock from the market close two days ago to yesterday's market close? h. Compute the company's annual earnings per share using Annual earnings per share $$ \begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \text { 52-Week High } & \text { 52-Week Low } & \text { Stock } & \text { SYM } & \text { Div } & \text { Yld \% } & \text { PE } & \text { Vol 100s } & \text { Hi } & \text { Lo } & \text { Close } & \text { Net Chg } \\ \hline 73.25 & 45.44 & \text { Goodyear } & \text { GT } & 1.20 & 2.2 & 17 & 5915 & 56.38 & 54.38 & 55.50 & +1.25 \\ \hline \end{array} $$

Describe two disadvantages of using credit cards.

What is a debit card?

In Exercises 1-10, use $$ P M T=\frac{P\left(\frac{r}{n}\right)}{\left[1-\left(1+\frac{r}{n}\right)^{-n t}\right]} $$ to determine the regular payment amount, rounded to the nearest dollar. The price of a condominium is \(\$ 180,000\). The bank requires a \(5 \%\) down payment and one point at the time of closing. The cost of the condominium is financed with a 30 -year fixed-rate mortgage at \(8 \%\). a. Find the required down payment. b. Find the amount of the mortgage. c. How much must be paid for the one point at closing? d. Find the monthly payment (excluding escrowed taxes and insurance). e. Find the total cost of interest over 30 years.

In Exercises 1-10, use $$ P M T=\frac{P\left(\frac{r}{n}\right)}{\left[1-\left(1+\frac{r}{n}\right)^{-n t}\right]} . $$ Round answers to the nearest dollar. Suppose that you decide to borrow \(\$ 40,000\) for a new car. You can select one of the following loans, each requiring regular monthly payments: Installment Loan A: three-year loan at \(6.1 \%\) Installment Loan B: five-year loan at \(7.2 \%\). a. Find the monthly payments and the total interest for Loan A. b. Find the monthly payments and the total interest for Loan B. c. Compare the monthly payments and the total interest for the two loans.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.