Business Math and Logic

Calculate the simple interest on a principal amount of $1000 at an interest rate of 5% for 3 years.

• $200

• $75

• $50

• $150

If p represents 'It is raining' and q represents 'I will take an umbrella', what is the logical proposition for 'If it is raining, then I will take an umbrella'?

• p -> q

• q -> p

• p ^ q

• p v q

Define the term 'simple interest' in financial calculations.

• Simple interest is the interest calculated based on compounding frequency.

• Simple interest is the interest calculated on the total amount including interest accrued.

• Simple interest is the interest calculated on the final amount after compounding.

• Simple interest is the interest calculated only on the initial principal amount.

Calculate the simple interest on $2000 at an interest rate of 3% for 5 years.

• $150

• $300

• $250

• $100

What is the compound interest on $3000 at an interest rate of 6% compounded semi-annually for 4 years?

• $800.00

• $700.25

• $958.56

• $1050.75

If p represents 'The sun is shining' and q represents 'It is daytime', what is the logical proposition for 'The sun is shining only if it is daytime'?

• q -> p

• p v q

• p ^ q

• p -> q

Explain the concept of 'compound interest' in financial calculations.

• Compound interest decreases over time.

• Compound interest refers to the interest calculated on the initial principal and also on the accumulated interest of previous periods. It grows exponentially over time.

• Compound interest is only calculated once at the end of the period.

• Compound interest is the same as simple interest.

Determine the simple interest on $1500 at an interest rate of 4% for 2 years.

• $120

• $90

• $150

• $100

If p represents 'Birds can fly' and q represents 'Fish can swim', what is the logical proposition for 'Birds can fly if and only if fish can swim'?

• (p → q)

• (p ∨ q)

• (p ∧ q)

• (p ↔ q)

Create a truth table for the logical proposition 'NOT p'.

• {"p": true, "NOT p": null}

• {"p": true, "NOT p": false} {"p": false, "NOT p": true}

• {"p": true, "NOT p": true}

• {"p": false, "NOT p": false}