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. -3

7. ≈ 10.8, or nearly 11 years.

 

4.3. Exponential and Logarithmic Models

1. ≈ 4.1874 weeks.

2. ≈ 11.68 years.

3. ≈ 229.32, or approximately 229 years.

4. a. 99.7%

    b. 97.2%

    c. 74.9%

5. 10.845, or approximately 11 years.

6. ≈ 9.9%.

 

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