abMathematics

Complete the following question for tomorrow’s lesson.

If you can earn 5% interest compounded quarterly, how long will it take for your investment to double in value? Find an exact expression for your answer, with time measured in years.

[Note that \(\ln 2\) is an exact expression, and may appear in a correct solution to this question.]

Complete page 1470 questions 25 and 27. You will find it helpful to simplify expressions as much as possible in your intermediate steps.

Complete the following questions for our next lesson. These are all relatively short, so you should be able to complete all questions for our lesson on Monday.

Pages 232–233 questions 3, 5, 12, 15, 18, 20, 21, 26, 31, 33, 44, 47, 48, 54, 56, 57, 60, 61, 63, 67, 69, 71, 72–77, 79, 80, 84

Here’s a short homework assignment on proof by indication, to be collected on Wednesday, February 3rd.

Show that \(6^n+4\) is divisible by \(10\) for all \(n \in \mathbb{Z}^+\).

Update: You can download the template from class here.

While I’m sure you’ve all written down these questions, you should complete  p.1436 questions 7, 10–13, 15 for tomorrow’s lesson.

While I expect you would have copied this question down in class, here’s the question we were looking at on Thursday.

Find the coefficient of \(x^2\) in the expansion of

1. \((2-x)(5x+3)^7\)
2. \((2-x)^3(5x+3)^7\)

Answers can be checked using the CAS functionality of GeoGebra.