Perform the Indicated Operation and Simplify $\frac { 2 + 2 i } { 8 - 7 i }$

question 170

Multiple Choice

Perform the indicated operation and simplify. Write the result in the form a + bi.
- $\frac { 2 + 2 i } { 8 - 7 i }$

• A) \(\frac { 2 } { 15 } + 2 i\)
• B) \(2 + 2 \mathrm { i }\)
• C) \(\frac { 2 } { 113 } + \frac { 30 } { 113 } \mathrm { i }\)
• D) \(\frac { 30 } { 113 } - \frac { 2 } { 113 } \mathrm { i }\)

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Definitions:

Interest Payments

The regular payments made to lenders as compensation for the money borrowed, typically expressed as a percentage of the principal sum.

Debt Ceiling

A limit on the total amount of money the federal government can legally borrow.

Defense Spending

Government expenditure on military and defense-related activities, including salaries, equipment, operations, and research and development.

Budget Deficit

A financial situation where a government's expenditures exceed its revenues over a specified period, leading to borrowing or debt accumulation.