Find the Product A) $- 10 \sqrt { 3 } + 10 \mathrm { i }$

question 162

Multiple Choice

Find the product. Write the product in rectangular form, using exact values.
-[4 $\left. \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) \right] \left[ 5 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) \right]$

• A) \(- 10 \sqrt { 3 } + 10 \mathrm { i }\)
• B) \(- 10 - 10 \sqrt { 3 } \mathrm { i }\)
• C) \(10 \sqrt { 3 } - 10 \mathrm { i }\)
• D) \(10 + 10 \sqrt { 3 } i\)

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Definitions:

Effective Rate

The actual interest rate an investment earns or a loan accrues due to compounding over a specified period.

Amortized

Refers to the gradual reduction of a debt over time by paying regular installments that cover both interest and principal.

Amortization Schedule

a table detailing each periodic payment on an amortizing loan, showing the amount of principal and the amount of interest that comprise each payment so that the loan will be paid off by the end of its term.

Effective Rate

The actual interest rate earned or paid on an investment, loan, or other financial product, taking into account the effect of compounding.