Solve the Problem $r = 1 - \left( \frac { V } { C } \right) ^ { 1 / n }$

question 10

Multiple Choice

Solve the problem.
-The yearly depreciation rate for a certain vehicle is modeled by $r = 1 - \left( \frac { V } { C } \right) ^ { 1 / n }$ , where V is the value of the car after n years, and C is the original cost.
a. Determine the depreciation rate for a car that originally cost $18,000 and is worth $11,000 after
3 yr. Round to the nearest tenth of a percent.
b. Determine the original cost of a truck that has a yearly depreciation rate of 14% and is worth
$12,000 after 5 yr. Round to the nearest $100.

• A) a. 15.1% per year; b. $25,500
• B) a. 77.2% per year; b. $25,500
• C) a. 77.2% per year; b. $14,000
• D) a. 15.1% per year; b. $14,000

---

Definitions:

Independent Variable

The variable that is manipulated or changed in an experiment to see if it has an effect on another variable.

Dependent Variable

In research, it's the variable being tested and measured, assumed to be affected by the independent variable.

Manipulation

The act of controlling or influencing others in a deceptive or indirect way.

Research Designs

The framework or plan for a study that outlines how data is to be collected, analyzed, and interpreted.