### Exponential Growth CalculationThe exponential function $ N = 3000 \times 1.7^t $, where $ t $ is measured in decades, gives the number of individuals in a certain population. (Round decimal answers to two decimal places unless otherwise indicated and report percents to the nearest percent.)#### (a) Calculate $ N(1.2) $.$ N(1.2) = $ [Input Box]**Explain what your answer means.**The population is about [Input Box] people after [Input Box] years.#### (b) What is the percentage growth rate per decade?[Input Box] %#### (c) What is the yearly growth factor rounded to three decimal places?[Input Box]**What is the yearly percentage growth rate?**[Input Box] %#### (d) What is the growth factor for a century?[Input Box]**What is the percentage growth rate per century?**[Input Box] %---For further assistance, use the "Need Help?" and "Show My Work" options provided.

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The exponential function N = 3000 x 1.77°, where d is measured in decades, gives the number of individuals in a certain population. (Round decimal answers to two decimal places unless otherwise indicated and report percents to the nearest percent.) (a) Calculate N(1.2). N(1.2) = Explain what your answer means. The population is about people after years. (b) What is the percentage growth rate per decade? (c) What is the yearly growth factor rounded to three decimal places?

The exponential function N = 3000 x 1.77°, where d is measured in decades, gives the number of individuals in a certain population. (Round decimal answers to two decimal places unless otherwise indicated and report percents to the nearest percent.) (a) Calculate N(1.2). N(1.2) = Explain what your answer means. The population is about people after years. (b) What is the percentage growth rate per decade? (c) What is the yearly growth factor rounded to three decimal places?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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### Exponential Growth Calculation

The exponential function $ N = 3000 \times 1.7^t $, where $ t $ is measured in decades, gives the number of individuals in a certain population. (Round decimal answers to two decimal places unless otherwise indicated and report percents to the nearest percent.)

#### (a) Calculate $ N(1.2) $.

$ N(1.2) = $ [Input Box]

**Explain what your answer means.**

The population is about [Input Box] people after [Input Box] years.

#### (b) What is the percentage growth rate per decade?

[Input Box] %

#### (c) What is the yearly growth factor rounded to three decimal places?

[Input Box]

**What is the yearly percentage growth rate?**

[Input Box] %

#### (d) What is the growth factor for a century?

[Input Box]

**What is the percentage growth rate per century?**

[Input Box] %

---

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The exponential function N = 2500 × 1.78d, where d is measured in decades, gives the number of individuals in a certain population. (Round decimal answers to two decimal places unless otherwise indicated and report percents to the nearest percent.) (a) Calculate N(1.5). N(1.5) = Explain what your answer means. The population is about people after years. (b) What is the percentage growth rate per decade? %(c) What is the yearly growth factor rounded to three decimal places?