Podcast
Questions and Answers
What must be true for a conjunction statement to be true?
What must be true for a conjunction statement to be true?
- Only one proposition needs to be evaluated.
- Both propositions must be true. (correct)
- At least one proposition must be false.
- Either of the propositions must be true.
Which symbol represents disjunction?
Which symbol represents disjunction?
- →
- ^
- ∧
- ∨ (correct)
In a conditional statement, which part represents the outcome?
In a conditional statement, which part represents the outcome?
- True part
- If part
- Then part (correct)
- Propositional part
What is the meaning of a biconditional statement?
What is the meaning of a biconditional statement?
What happens to a statement when negation is applied?
What happens to a statement when negation is applied?
Which of the following best exemplifies a conjunction?
Which of the following best exemplifies a conjunction?
In the statement 'If you exercise regularly, then you will be healthy', what type of logical connector is used?
In the statement 'If you exercise regularly, then you will be healthy', what type of logical connector is used?
Which of the following pairs illustrates a biconditional relationship?
Which of the following pairs illustrates a biconditional relationship?
What is the main role of the word 'not' in logical statements?
What is the main role of the word 'not' in logical statements?
How can you denote the conjunction of two propositions, P and Q?
How can you denote the conjunction of two propositions, P and Q?
How much interest is calculated using ordinary interest for a ₱200,000 loan at a 10.5% interest rate for 180 days?
How much interest is calculated using ordinary interest for a ₱200,000 loan at a 10.5% interest rate for 180 days?
What is the correct time in years for a 180-day loan when using exact interest?
What is the correct time in years for a 180-day loan when using exact interest?
What will be the total amount paid at the end of a 6-month loan of ₱3,000 at a 14% interest rate?
What will be the total amount paid at the end of a 6-month loan of ₱3,000 at a 14% interest rate?
What formula is used to find the maturity value of a loan?
What formula is used to find the maturity value of a loan?
Which statement correctly describes a compound proposition?
Which statement correctly describes a compound proposition?
How is the principal, rate, or time adjusted in formulas?
How is the principal, rate, or time adjusted in formulas?
What is the interest calculated over 180 days using exact interest for a ₱200,000 loan at a rate of 10.5%?
What is the interest calculated over 180 days using exact interest for a ₱200,000 loan at a rate of 10.5%?
If the rate is 10% and time is 2 years, what is the simple interest on a principal of ₱5,000?
If the rate is 10% and time is 2 years, what is the simple interest on a principal of ₱5,000?
What type of proposition is 'The sky is blue'?
What type of proposition is 'The sky is blue'?
What is the purpose of converting percentages to decimals in financial calculations?
What is the purpose of converting percentages to decimals in financial calculations?
What does the conjunction represent in logical statements?
What does the conjunction represent in logical statements?
Which of the following statements represents a disjunction?
Which of the following statements represents a disjunction?
Which symbolic representation corresponds to the statement 'He is not a senior citizen or he has a green thumb'?
Which symbolic representation corresponds to the statement 'He is not a senior citizen or he has a green thumb'?
What does a biconditional statement imply?
What does a biconditional statement imply?
What is the correct symbolic representation for 'If he has a green thumb, then he is a senior citizen'?
What is the correct symbolic representation for 'If he has a green thumb, then he is a senior citizen'?
In the statement 'You will pass if and only if you study', what logical connector is being used?
In the statement 'You will pass if and only if you study', what logical connector is being used?
Which of the following represents a negation?
Which of the following represents a negation?
What is the principal amount if the maturity value is ₱150,000, the interest earned is ₱10,000, and the rate is 5% for 1 year?
What is the principal amount if the maturity value is ₱150,000, the interest earned is ₱10,000, and the rate is 5% for 1 year?
What does the conditional statement 'If it rains, then I will take an umbrella' imply?
What does the conditional statement 'If it rains, then I will take an umbrella' imply?
What is the truth condition for the disjunction 'I will have tea or coffee' to be false?
What is the truth condition for the disjunction 'I will have tea or coffee' to be false?
If a loan of ₱80,000 is taken at an interest rate of 6% for 2 years, what is the interest?
If a loan of ₱80,000 is taken at an interest rate of 6% for 2 years, what is the interest?
Which of the following statements is a valid example of a conjunction?
Which of the following statements is a valid example of a conjunction?
What is the formula used to find the time in years for calculating simple interest?
What is the formula used to find the time in years for calculating simple interest?
What is the maturity value of an investment of $1,000 at an interest rate of 4% for 3 years?
What is the maturity value of an investment of $1,000 at an interest rate of 4% for 3 years?
How many months correspond to a time of 1 year in simple interest calculations?
How many months correspond to a time of 1 year in simple interest calculations?
If a principal of ₱60,000 earns ₱1,500 in interest over 2 years at a certain rate, what is the rate?
If a principal of ₱60,000 earns ₱1,500 in interest over 2 years at a certain rate, what is the rate?
If Eunice lent ₱2,000 at an interest rate of 10% for 9 months, what total amount will she receive at maturity?
If Eunice lent ₱2,000 at an interest rate of 10% for 9 months, what total amount will she receive at maturity?
For ordinary interest calculations, over how many days is the year calculated?
For ordinary interest calculations, over how many days is the year calculated?
Which formula correctly computes the interest earned over a period?
Which formula correctly computes the interest earned over a period?
If you want to find the principal amount from known maturity value and rate over specific time, which of the following formulas should be used?
If you want to find the principal amount from known maturity value and rate over specific time, which of the following formulas should be used?
Flashcards
Principal (P)
Principal (P)
The initial amount of money borrowed or invested.
Rate (r)
Rate (r)
The annual interest rate, in decimal form.
Time (t)
Time (t)
The length of time the money is borrowed or invested, usually in years.
Interest (I)
Interest (I)
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Maturity Value (A)
Maturity Value (A)
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Simple Interest Formula
Simple Interest Formula
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Maturity Value Formula (Method 1)
Maturity Value Formula (Method 1)
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Maturity Value Formula (Method 2)
Maturity Value Formula (Method 2)
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Ordinary Interest
Ordinary Interest
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Exact Interest
Exact Interest
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Conjunction (AND)
Conjunction (AND)
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Disjunction (OR)
Disjunction (OR)
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Conditional (If...Then)
Conditional (If...Then)
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Biconditional (If and Only If)
Biconditional (If and Only If)
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Negation (Not)
Negation (Not)
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Logical Symbol for AND
Logical Symbol for AND
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Logical Symbol for OR
Logical Symbol for OR
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Logical Symbol for If...Then
Logical Symbol for If...Then
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Logical Symbol for If and Only If
Logical Symbol for If and Only If
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Logical Symbol for Not
Logical Symbol for Not
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Simple Proposition
Simple Proposition
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Compound Proposition
Compound Proposition
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Interest Formula (I=Prt)
Interest Formula (I=Prt)
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Maturity Value (A=P(1+rt))
Maturity Value (A=P(1+rt))
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Proposition
Proposition
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Symbolic Representation
Symbolic Representation
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∧
∧
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∨
∨
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→
→
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↔
↔
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Study Notes
Simple Interest
- Principal (P): The initial amount borrowed or invested. Also known as face value or present value.
- Rate (r): The annual interest rate. Always convert the percentage to a decimal. (e.g., 8% = 0.08).
- Time (t): The length of time the money is borrowed or invested. Usually measured in years.
- If time is in months, divide by 12 (e.g., 6 months = 6/12 = 0.5 years).
- If time is in days, use 360 days for ordinary interest, and 365 days for exact interest.
- Interest (I): The amount paid or earned for using money. Depends on principal, rate, and time. Calculated by I = Prt
- Maturity Value (A): The total amount to be paid or received at the end of the loan or investment period. It includes both principal and interest. Calculated by A = P + I or A = P(1 + rt).
- Ordinary Interest: Based on a 360-day year, commonly used by banks.
- Time formula: t = days/360
- Exact Interest: Based on a 365-day year.
- Time formula: t = days/365
Propositions and Logic
- Proposition: A statement which can be either true or false.
- Simple Proposition: A statement that expresses one clear idea without connecting words (e.g., "She is happy").
- Compound Proposition: A statement composed of two or more simple propositions joined by connecting words (e.g., "It is raining, and I am going to the store").
- Conjunction (AND): Both propositions must be true for the entire statement to be true. (Symbol: ^)
- Disjunction (OR): At least one of the propositions must be true for the entire statement to be true. (Symbol: V)
- Conditional (If...Then): If the first proposition (if-part) is true, then the second proposition (then-part) will also be true. (Symbol: →)
- Biconditional (If and Only If): Both propositions must be either both true or both false for the entire statement to be true. (Symbol: ↔)
- Negation (Not): A statement that denies, or says the opposite of the original statement. (Symbol: ~)
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Description
This quiz covers key concepts related to simple interest, including principal, rate, and time. You'll learn how to calculate interest and maturity value based on various time measures. Test your understanding of ordinary and exact interest calculations.
