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Front

What does a negative discriminant indicate about the x-intercepts of a quadratic function?

Back

A negative discriminant indicates that the quadratic function has 0 x-intercepts.

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Front

How do you calculate the future value of an investment with compound interest?

Back

You use the compound interest formula: A = P(1 + r/n)^(nt).

Front

What is the significance of the quadratic formula?

Back

The quadratic formula, x = (-b ± √(b² - 4ac)) / (2a), is used to find the roots of a quadratic equation.

Front

What is the effect of increasing the interest rate on the total amount paid on a loan?

Back

Increasing the interest rate results in a higher total amount paid over the life of the loan.

Front

How do you determine the number of x-intercepts of a quadratic function?

Back

You determine the number of x-intercepts by evaluating the discriminant (b² - 4ac) of the quadratic equation.

Front

What is the formula to calculate the value of an investment after a certain number of years with annual growth?

Back

Future Value = Present Value × (1 + growth rate)^(number of years).

Front

What does it mean for interest to be compounded quarterly?

Back

Compounding quarterly means that interest is calculated and added to the principal four times a year.

Front

How do you solve a quadratic equation using the quadratic formula?

Back

Identify a, b, and c from the equation ax² + bx + c = 0, then substitute into the formula x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference between simple interest and compound interest?

Back

Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal plus any interest that has been added.