Final Exam Discrete Math

Front

What is simple interest?

Back

Simple interest is calculated using the formula: I = PRT, where I is the interest, P is the principal amount, R is the rate of interest per year, and T is the time in years.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 30% of 200, calculate 200 * 0.30 = 60.

Front

What is the formula to find the total amount after simple interest is applied?

Back

The total amount A can be calculated using the formula: A = P + I, where I is the simple interest calculated.

Front

How do you find the sale price after a discount?

Back

To find the sale price after a discount, subtract the discount amount from the original price. Discount amount = Original Price * Discount Rate.

Front

What is the formula for calculating the interest rate in a simple interest problem?

Back

The interest rate can be calculated using the formula: R = I / (PT), where I is the interest earned, P is the principal, and T is the time in years.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% becomes 0.25.

Front

What is the relationship between principal, interest, and time in simple interest?

Back

In simple interest, the interest earned is directly proportional to the principal amount and the time the money is invested or borrowed.

Front

How do you calculate the total interest earned over multiple years?

Back

Total interest earned can be calculated by multiplying the principal by the interest rate and the number of years: I = PRT.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve for an unknown in a proportion?

Back

To solve for an unknown in a proportion, cross-multiply and then divide. For example, if a/b = c/x, then ax = bc, so x = bc/a.