4.4. Practice question answers

Chapter 4 practice question answers

4.1. Exponential Functions

1. ≈ 23.2%

2. B(t) is growing faster, but after 3 years A(t) still has a higher account balance.

3. 401.0071 , or about 401 people.

4. $4048.06

5.  ≈ 950 ants

6.  ≈ 0.59 cents

 

4.2. Logarithmic Functions

1. log4(16) = 2

2. 6

3. -2ln(x)

4. \frac{\ln(2)}{\ln(0.93)}\approx-9.5513

5. 5

6. 12

7. ≈ 10.8, or nearly 11 years.

 

4.3. Exponential and Logarithmic Models

1. ≈ 4.1874 weeks.

2. 229.3157, or approximately 229 years.

3. 10.845, or approximately 11 years.

4. ≈ 9.9%.