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Front

Simplify (-6 - 2i)²

Back

32 + 24i

Front

Calculate the total amount paid after 5 years for a loan of $25,690 at an interest rate of 5.2% compounded monthly.

Back

$33,299.42

Front

If you deposit $1000 in a savings account with 4.8% interest compounded monthly, how much will you have after 1 year? After 2 years?

Back

$1049.07; $1100.55

Front

Solve using the Quadratic Formula: 6x² + 12x - 1 = 0

Back

x = 0.08, -2.08

Front

Calculate (3 + 8i)(-2 - i)

Back

2 - 19i

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 rate, n is the number of times interest is compounded per year, and t is the time in years.

Front

Define the Quadratic Formula.

Back

x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What does it mean for a number to be complex?

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, two distinct real roots; if zero, one real root; if negative, two complex roots.

Front

How do you multiply two complex numbers?

Back

Use the distributive property (FOIL method) and combine like terms, remembering that i² = -1.