Find an Equation of the Hyperbola with Vertices $( - 7,0 ) , ( 7,0 ) \text { and asymptotes }$

question 116

Multiple Choice

Find an equation of the hyperbola with vertices $( - 7,0 ) , ( 7,0 ) \text { and asymptotes }$ $y = \pm 2 x$

• A) \(\frac { x ^ { 2 } } { 14 } - \frac { y ^ { 2 } } { 7 } = 1\)
• B) \(\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 196 } = 1\)
• C) \(\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 196 } = 1\)
• D) \(\frac { x ^ { 2 } } { 196 } - \frac { y ^ { 2 } } { 49 } = 1\)
• E) \(\frac { x ^ { 2 } } { 7 } - \frac { y ^ { 2 } } { 14 } = 1\)

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Definitions:

Present Value

The contemporary valuation of future monetary streams or a single sum, discounted at a chosen rate of interest.

Savings Accounts

Deposit accounts held at financial institutions that provide a modest interest rate, allowing individuals to save money securely.

Deposit

A sum of money placed with a financial institution for safekeeping or to earn interest, often used to secure a financial obligation or as part of a financial transaction.

Discount Rate

The interest rate used to discount future cash flows of a financial instrument to present value, reflecting the time value of money.