Rate of Change
Not what you're looking for?
If $10,000 is invested at an annual rate r(expressed as decimal) compound weekly, the total amount (principal P and interest) accumulated after 10 years is given by the formula.
A=10,000(1+r/52)^520
A.Find the rate of change of A with respect to r.
B.Find the percentage rate of change of A with respect to r when r=0.05 (that is 5%).
Purchase this Solution
Solution Summary
The rate of change for the invested annual rate are determined.
Solution Preview
A. Find the rate of change of A with respect to r.
Find the derivative of A using the chain rule (use u = 1 + r/52):
A = 10,000(1 + r/52)^520 ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.