Stitz-Zeager_College_Algebra_e-book

Equation 71 the standard equation of a circle the

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: onential and Logarithmic Functions 3. Our initial investment is $2000, so to find the time it takes this to double, we need to find t when A(t) = 4000. We get 2000(1.0059375)12t = 4000, or (1.0059375)12t = 2. Taking natural ln(2) logs as in Section 6.3, we get t = 12 ln(1.0059375) ≈ 9.75. Hence, it takes approximately 9 years 9 months for the investment to double. 4. To find the average rate of change of A from the end of the fourth year to the end of the fifth year, we compute A(5)−A(4) ≈ 195.63. Similarly, the average rate of change of A from 5−4 the end of the thirty-fourth year to the end of the thirty-fifth year is A(35)−A(34) ≈ 1648.21. 35−34 This means that the value of the investment is increasing at a rate of approximately $195.63 per year between the end of the fourth and fifth years, while that rate jumps to $1648.21 per year between the end of the thirty-fourth and thirty-fifth years. So, not only is it true that the longer you wait, the more money you have, but also the longer you wait, the faster the m...
View Full Document

This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online