Find All Values of X Satisfying the Given Conditions $y _ { 1 } = 5 ( 5 x - 1 ) ^ { - 1 } , y _ { 2 } = 2 ( 5 x - 1 ) ^ { - 2 }$

question 92

Multiple Choice

Find all values of x satisfying the given conditions.
- $y _ { 1 } = 5 ( 5 x - 1 ) ^ { - 1 } , y _ { 2 } = 2 ( 5 x - 1 ) ^ { - 2 }$ , and $y _ { 1 }$ exceeds $y _ { 2 }$ by 2

• A) \(\frac { 3 } { 5 } , \frac { 3 } { 10 }\)
• B) \(- \frac { 1 } { 5 } , - \frac { 1 } { 10 }\)
• C) \(- 2 , - \frac { 1 } { 2 }\)
• D) \(- \frac { 1 } { 5 } , 0\)

---

Definitions:

Earnings Rate

The rate at which a company or investment generates income, usually expressed as a percentage of the investment or the company's capital.

Compound Interest

Interest on a deposit or loan that is calculated based on the initial amount along with the total of all interest accumulated in earlier periods.

Present Value Index

A financial calculation that allows the comparison of the present value of cash inflows to the present value of cash outflows.

Rate of Return

A measure of the profitability of an investment, expressed as a percentage of the original investment.