Simple Interest Concepts and Formulas
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Questions and Answers

What is the formula for calculating interest in a simple interest scenario?

  • I = P + rt
  • I = Pr + t
  • I = A - P
  • I = Prt (correct)
  • If a principal of ₱100,000 is invested at a rate of 6% for 2 years, what is the maturity value?

  • ₱112,000 (correct)
  • ₱120,000
  • ₱118,000
  • ₱116,000
  • What is the time in years for an investment of $5,000 at a 4% interest rate to earn $400 in interest?

  • 5 years
  • 10 years
  • 8 years
  • 2 years (correct)
  • How would you calculate the principal if the maturity value is $15,000, the rate is 7%, and the time is 3 years?

    <p>P = A/(1+rt) (D)</p> Signup and view all the answers

    Which calculation method would you use for a loan based on a 360-day year?

    <p>Ordinary Interest (B)</p> Signup and view all the answers

    In the formula for simple interest, what does 'r' represent?

    <p>The annual interest rate in decimal (A)</p> Signup and view all the answers

    What is the interest earned on a ₱50,000 investment at an 11% rate for 9 months?

    <p>₱4,125 (A)</p> Signup and view all the answers

    If a principal amount of $750 is invested at a 3% interest rate, how much total interest will be earned in 4 years?

    <p>$60 (D)</p> Signup and view all the answers

    What is the interest calculated using ordinary interest for a loan of ₱200,000 at a rate of 10.5% for 180 days?

    <p>₱10,500 (B)</p> Signup and view all the answers

    What is the maturity value of a ₱3,000 loan at a rate of 14% after 6 months?

    <p>₱3,210 (C)</p> Signup and view all the answers

    How does the time period for calculating exact interest differ from ordinary interest?

    <p>Exact interest uses 365 days, while ordinary interest uses 360 days. (C)</p> Signup and view all the answers

    What is the correct conversion of 180 days into years for calculating interest?

    <p>Both A and B (C)</p> Signup and view all the answers

    What is the formula used to calculate simple interest?

    <p>I = Prt (B)</p> Signup and view all the answers

    Which of the following statements is a compound proposition?

    <p>It is snowing or it is raining. (A)</p> Signup and view all the answers

    Which rate conversion is necessary for calculating interest?

    <p>Convert percentages to decimals (D)</p> Signup and view all the answers

    If a borrower takes a ₱200,000 loan for 180 days at 10.5% interest using exact interest, what will be the computed interest?

    <p>₱10,356.16 (B)</p> Signup and view all the answers

    What is the symbol used to represent conjunction?

    <p>^ (D)</p> Signup and view all the answers

    In a disjunction, what is required for the whole statement to be true?

    <p>At least one proposition must be true. (C)</p> Signup and view all the answers

    Which of the following statements is an example of a conditional?

    <p>If you eat dessert, then you will spoil your dinner. (A)</p> Signup and view all the answers

    What must be true for a biconditional statement to hold true?

    <p>Both propositions must be true or both must be false. (B)</p> Signup and view all the answers

    How does negation affect a true statement?

    <p>It makes the true statement false. (D)</p> Signup and view all the answers

    Which of these statements best illustrates a conjunction?

    <p>He is studying and he is working. (B)</p> Signup and view all the answers

    In a conditional statement, what is the relationship between the first and second propositions if the first is false?

    <p>The truth of the second proposition is unaffected. (C)</p> Signup and view all the answers

    What key words are associated with biconditional statements?

    <p>If and only if (B)</p> Signup and view all the answers

    What does a conjunction represent in logical statements?

    <p>Both parts must be true. (B)</p> Signup and view all the answers

    In the symbolic representation ∼(p∨q), what does this indicate?

    <p>Both parts are false. (A)</p> Signup and view all the answers

    Which statement correctly represents the conditional relationship?

    <p>If p is true, then q might be false. (A)</p> Signup and view all the answers

    What does the statement 'You will pass if and only if you study' symbolize?

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    Which of the following statements best exemplifies disjunction?

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    What type of logical statement is represented by p→∼q?

    <p>Conditional (C)</p> Signup and view all the answers

    In logical terms, what does negation (∼) accomplish?

    <p>Makes a statement false. (D)</p> Signup and view all the answers

    Which symbolic representation correctly corresponds to the statement 'He does not have a green thumb or he is not a senior citizen'?

    <p>∼p∨∼q (B)</p> Signup and view all the answers

    What is the primary purpose of analyzing the audience before delivering a speech?

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    Which of the following best describes the organization of content in a persuasive speech?

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    Which part of the speech is primarily focused on grabbing the audience's attention?

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    What is the main idea behind the problem-solution pattern of organizing content?

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    Why is the body of the speech considered the most substantial part?

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    What role do analogies play in speech writing?

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    Which of the following is NOT a method for researching information for a speech?

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    What is the purpose of the conclusion in a speech?

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    What role does resonance play in speech production?

    <p>It amplifies the voice as sound passes through cavities. (C)</p> Signup and view all the answers

    Which statement best describes the process of phonation?

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    What is the primary characteristic of extemporaneous speech?

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    Which of the following is NOT a component of speech production?

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    What defines the articulation aspect of speech?

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    Which type of speech delivery involves reading a pre-written message?

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    How does vocal variety enhance speech?

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    Which of the following best describes natural respiration's effect on speech?

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    What is the main purpose of an informative speech?

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    In persuasive speech, what does the appeal to ethos focus on?

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    Which of the following is a characteristic of a persuasive speech?

    <p>Encouraging the audience to adopt a specific opinion or take action (B)</p> Signup and view all the answers

    What is a key principle in writing an effective speech?

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    What distinguishes an inspirational speech from an informative speech?

    <p>An inspirational speech shares meaningful ideas and stories. (A)</p> Signup and view all the answers

    Which of the following speech types uses storytelling primarily to engage the audience?

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    What is the primary objective of the speech writing process?

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    Which element of Aristotle's persuasion appeals to the audience’s logic and reason?

    <p>Logos (B)</p> Signup and view all the answers

    Flashcards

    Principal (P)

    The initial amount of money borrowed or invested.

    Rate (r)

    The annual interest rate (as a decimal).

    Time (t)

    The length of time the money is borrowed or invested, usually in years.

    Interest (I)

    The amount paid or earned for using money.

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    Simple Interest Formula

    Interest = Principal × Rate × Time (I = Prt)

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    Maturity Value (A)

    The total amount paid or received at the end of loan/investment.

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    Ordinary Interest

    Interest calculated based on a 360-day year.

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    Exact Interest

    Interest calculated based on a 365-day year.

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    What's the difference between ordinary and exact interest?

    Ordinary interest uses a 360-day year for calculations, while exact interest uses a 365-day year.

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    How do you calculate interest on a loan?

    Use the formula: Interest (I) = Principal (P) × Rate (r) × Time (t)

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    What is maturity value?

    The total amount paid back at the end of a loan, including both the principal and interest.

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    What is a proposition?

    A statement that's either true or false, but not both.

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    Simple Proposition

    A single statement with one main idea, no connecting words.

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    Compound Proposition

    Made of two or more simple propositions connected by words like 'and,' 'or,' or 'if...then.'

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    What are connecting words in compound propositions?

    Words like 'and,' 'or,' 'if...then,' etc., combine simple statements into a compound proposition.

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    Example of a simple proposition

    She is happy.

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    Conjunction (AND)

    A logical statement where both parts must be true for the whole statement to be true.

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    Disjunction (OR)

    A logical statement where at least one part must be true for the whole statement to be true.

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    Conditional (If...Then)

    A logical statement where if the first part is true, then the second part must also be true.

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    Biconditional (If and Only If)

    A logical statement where both parts must be either true or false together. If one is true and the other false, the statement is false.

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    Negation (Not)

    A logical statement that makes a true statement false, and a false statement true.

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    What does the symbol '^' represent in logic?

    The symbol '^' represents conjunction (AND) in logic. It means that both parts of a statement must be true for the entire statement to be true.

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    What does the symbol '∨' represent in logic?

    The symbol '∨' represents disjunction (OR) in logic. It means that at least one part of a statement must be true for the entire statement to be true.

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    What does the symbol '→' represent in logic?

    The symbol '→' represents conditional (If...Then) in logic. It means that if the first part of a statement is true, then the second part must also be true.

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    Symbolic Representation

    A simplified way to represent logical statements using symbols.

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    What does "∼p∨∼q" represent?

    It means that at least one of the statements 'p' or 'q' must be false.

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    What does "∼(p∨q)" represent?

    It means that neither of the statements 'p' or 'q' is true.

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    What does "p↔q" represent?

    It means that both statements 'p' and 'q' are either both true or both false.

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    Memorized Speech

    A speech carefully planned, rehearsed, and delivered word-for-word from memory.

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    Informative Speech

    A speech designed to educate the audience by presenting facts, data, and explanations. The goal is to increase understanding.

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    Inspirational Speech

    A speech meant to motivate, uplift, and encourage the audience by sharing inspiring messages.

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    Entertainment Speech

    A lighthearted speech intended to amuse and entertain the audience. It can also include a thoughtful point.

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    Persuasive Speech

    A speech aiming to convince the audience to adopt a specific opinion, take action, or change their beliefs.

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    Ethos

    A persuasive appeal that relies on the speaker's authority, character, or expertise to build trust.

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    Pathos

    A persuasive appeal that aims to connect with the audience's emotions.

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    Logos

    A persuasive appeal that uses facts, evidence, and logical reasoning to convince the audience.

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    Audience Interest

    The level of engagement and genuine curiosity your audience has in your topic.

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    Audience Purpose

    The goals or aims your audience has when listening to your speech. What do they want to get out of it?

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    Audience Demographics

    Broad social and cultural characteristics of your audience, like age, gender, and background.

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    Library Research

    Using resources like books, journals, and databases available in libraries to gather information for your speech.

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    Internet Research

    Finding information online using websites, search engines, and digital resources.

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    Outline for Speech

    A structured list that shows the main points, supporting ideas, and organization of your speech.

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    Organizing Speech Content

    Arranging the ideas and information in a logical order to make your speech easy to understand and remember.

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    Develop the Body of the Speech

    The main part of your speech where you provide evidence, examples, and details to support your main idea.

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    Speech Production

    The complex process of converting thoughts into spoken words, involving selecting words, organizing grammar, and articulating sounds.

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    Respiration in Speech

    The process of inhaling air into the lungs and expelling it to create sound waves. The amount of air expelled determines the volume of your voice.

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    What is Phonation?

    The creation of sound waves by pushing air through the vocal cords. The tension on the vocal cords determines your voice's pitch and tone.

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    Resonance in Speech

    The amplification of sound as it travels through chambers in the larynx, throat, mouth, and nasal cavities, giving your voice its unique quality.

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    Articulation

    The process of shaping sounds by using the mouth, tongue, teeth, and lips to create different speech sounds.

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    Manuscript Speech

    Speaking with advanced preparation, reading aloud from a written text.

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    Impromptu Speech

    Speaking without prior preparation, responding spontaneously to a prompt or question.

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    Extemporaneous Speech

    Speaking with limited preparation, using notes or an outline as a guide. It feels more conversational.

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    Study Notes

    Simple Interest

    • Principal (P): The starting amount borrowed or invested, also known as the face value or present value.
    • Rate (r): The annual interest rate, usually shown as a percentage, charged by the lender or earned on an investment. Convert percentages to decimals (e.g., 8% = 0.08).
    • Time (t): The duration the money is borrowed or invested, often measured in years. Months are divided by 12, and days use 360 for ordinary interest or 365 for exact interest if necessary.
    • Interest (I): The amount earned or paid for using money, based on the principal, rate, and time. Calculated as I = Prt.
    • Maturity Value (A): The total amount paid or received at the end of a loan or investment period, including both principal and interest. Calculated as A = P + I or A = P(1 + rt).

    Formulas

    • Simple Interest: I = Prt
    • Maturity Value: A = P + I or A = P(1 + rt)
    • Derived Formulas:
      • Principal: P = A / (1 + rt)
      • Rate: r = (A - P) / (Pt)
      • Time: t = (A - P) / (Pr)

    Ordinary vs. Exact Interest

    • Ordinary Interest: Based on a 360-day year, commonly used by banks. Time is calculated as t = days / 360.
    • Exact Interest: Based on a 365-day year. Time is calculated as t = days / 365.

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    Description

    Test your knowledge on simple interest calculations with this quiz. It covers the key concepts such as principal, rate, time, interest, and maturity value. Perfect for anyone looking to understand financial mathematics better.

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