2500 x 1.74, where d is measured in decades, gives the number of individuals in a certainThe exponential function Mpopulation. (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) =5738.04Explain what your answer means.The population is about 5738.04people after 15years.(b) What is the percentage growth rate per decade?X %(c) What is the yearly growth factor rounded to three decimal places?XWhat is the yearly percentage growth rate?X%(d) What is the growth factor for a century?XWhat is the percentage growth rate per century?XNeed Help?Read ItTalk to a Tutor

Question
Asked Dec 4, 2019
10 views

What are the blanks?

2500 x 1.74, where d is measured in decades, gives the number of individuals in a certain
The exponential function M
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) =
5738.04
Explain what your answer means.
The population is about 5738.04
people after 15
years.
(b) What is the percentage growth rate per decade?
X %
(c) What is the yearly growth factor rounded to three decimal places?
X
What is the yearly percentage growth rate?
X%
(d) What is the growth factor for a century?
X
What is the percentage growth rate per century?
X
Need Help?
Read It
Talk to a Tutor
help_outline

Image Transcriptionclose

2500 x 1.74, where d is measured in decades, gives the number of individuals in a certain The exponential function M 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) = 5738.04 Explain what your answer means. The population is about 5738.04 people after 15 years. (b) What is the percentage growth rate per decade? X % (c) What is the yearly growth factor rounded to three decimal places? X What is the yearly percentage growth rate? X% (d) What is the growth factor for a century? X What is the percentage growth rate per century? X Need Help? Read It Talk to a Tutor

fullscreen
check_circle

Expert Answer

Step 1

Compare the given formula with growth rate formula of a population. 

And find growth rate.

Answer(b): 74%

help_outline

Image Transcriptionclose

Present Past(1+growth rate) N=2500x1.74 1+growth rate =1.74 growth rate 1.74-1=0.74 growth rate =74%

fullscreen
Step 2

Let yearly growth factor = y

then after a decade growth will be y^10 times the initial value. This is equal to 1.74 (growth factor per decade)

Answer(c): Yearly growth factor = 1.057

help_outline

Image Transcriptionclose

yl°=1.74 ,10 y=1.74 10 y=1.057

fullscreen
Step 3

growth factor = 1+ growth rate 

1.057=1+growth rate 

growth rate =0.057 

growth rate ...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra