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32 + 24i

$33,299.42

$1049.07; $1100.55

x = 0.08, -2.08

2 - 19i

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.

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

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.

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.

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