Find an Equation for the Sphere with the Given Center $x ^ { 2 } + y ^ { 2 } + 10 z ^ { 2 } + 16 y + 2 z = 35$

question 32

Multiple Choice

Find an equation for the sphere with the given center and radius.
-Center (0, -8, -1) , radius = 10

• A) \(x ^ { 2 } + y ^ { 2 } + 10 z ^ { 2 } + 16 y + 2 z = 35\)
• B) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 16 y + 2 z = 35\)
• C) \(x ^ { 2 } + y ^ { 2 } + 10 z ^ { 2 } + 16 y - 2 z = 35\)
• D) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 16 y - 2 z = 35\)

Learn how the Federal Reserve's actions, such as open market operations, influence the money supply.

Identify the role of the required reserve ratio in the banking system and its effect on money creation.

Explain the process of money creation by commercial banks through lending.

Distinguish between the concepts of excess reserves and required reserves and their importance in the money supply.

---

Definitions:

Long Run

A period in which all factors of production and costs are variable, allowing firms to adjust to new conditions or markets.

Quantity Theory

An economic theory that suggests the general price level of goods and services is directly proportional to the amount of money in circulation.

Money Supply

The total economic resources available in an economy at a certain period, including cash, coins, and the money in checking and savings accounts.

Inflation Tax

The implicit tax that holders of cash experience due to a decrease in purchasing power caused by inflation.