Solve the Problem $\$ 25,000$ For One Year $5 \%$ , Another Part At

question 441

Multiple Choice

Solve the problem.
-Linda invests $\$ 25,000$ for one year. Part is invested at $5 \%$ , another part at $6 \%$ , and the rest at $8 \%$ . The total income from all 3 investments is $\$ 1600$ . The combined income from the $5 \%$ and $6 \%$ investments is the same as the income from the $8 \%$ investment. Find the amount invested at each rate.

• A) \(\$ 10,000\) at \(5 \% ; \$ 5000\) at \(6 \% ; \$ 10,000\) at \(8 \%\)
• B) \(\$ 10,000\) at \(5 \% ; \$ 10,000\) at \(6 \% ; \$ 5000\) at \(8 \%\)
• C) \(\$ 5000\) at \(5 \% ; \$ 10,000\) at \(6 \% ; \$ 10,000\) at \(8 \%\)
• D) \(\$ 8000\) at \(5 \% ; \$ 10,000\) at \(6 \% ; \$ 7000\) at \(8 \%\)

---

Definitions:

Standard Form

In mathematics, it often refers to a way of writing numbers using digits, or a specific format for linear equations, depending on the context.

Hyperbola

A type of smooth curve lying in a plane, defined by its geometric properties or by equations that satisfy its definition.

Asymptotes

Lines that a graph approaches but never actually touches, indicative of behavior at infinity or discontinuities.

Vertices

The plural of vertex, referring to the corners or intersecting points of geometric shapes or graphs.