The population of deer on an island is growing exponentially. The first year the population was measured, there were 500 deer. Five years later, there were 552. a. Write an exponential function that represents deer on the island giva the

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.2: Applications Of Exponential Functions
Problem 27PS
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Question
B. The population of deer on an island is growing
exponentially. The first year the population was
measured, there were 500 deer. Five years later,
there were 552.
a. Write an exponential function that represents
the number of deer on the island given the
years since the initial population count.
b. How long will it take for the number of deer in
Item 23a to double?
24. Write and solve an equation to determine the
balance after 15 years in an account that had an
initial investment of $25,000 at 3.5% interest,
compounded continuously.
25. The Tamerix tree was introduced to a region in
2006 and has been spreading exponentially. The
initial population was 20 trees, and the population
is increasing at an annual rate of 15%.
a. Create a continuous exponential function that
represents the number of Tamerix trees in the
region in a given vear since the first
population was measured.
b. In what year will the population reach 300?
26. A new car was purchasl in 2005 for $20,000. It
depreciates at a rate of 9%.
a. Write a continuous exponential function that
Shot on OnePlushe value of the car after t vears of
ownership
b. When will the car haveavalue of S10,0002
By VKJ
Transcribed Image Text:B. The population of deer on an island is growing exponentially. The first year the population was measured, there were 500 deer. Five years later, there were 552. a. Write an exponential function that represents the number of deer on the island given the years since the initial population count. b. How long will it take for the number of deer in Item 23a to double? 24. Write and solve an equation to determine the balance after 15 years in an account that had an initial investment of $25,000 at 3.5% interest, compounded continuously. 25. The Tamerix tree was introduced to a region in 2006 and has been spreading exponentially. The initial population was 20 trees, and the population is increasing at an annual rate of 15%. a. Create a continuous exponential function that represents the number of Tamerix trees in the region in a given vear since the first population was measured. b. In what year will the population reach 300? 26. A new car was purchasl in 2005 for $20,000. It depreciates at a rate of 9%. a. Write a continuous exponential function that Shot on OnePlushe value of the car after t vears of ownership b. When will the car haveavalue of S10,0002 By VKJ
7. How much additional interest could $15,000 earn
in 20 years, compounded monthly, if the annual
interest rate were 54% as opposed to 5%?
4
8. Ifa balance of $20,000 grew to S29,816.66 in
years, determine the rate of interest.
A. 4% compounded weekly
B. 5% compounded weekly
C. 4% compounded monthly
D. 5% compounded monthly
10
The aranh chows tho vala ofan
Shot on OnePlus
ount o fter
By VKJ
Transcribed Image Text:7. How much additional interest could $15,000 earn in 20 years, compounded monthly, if the annual interest rate were 54% as opposed to 5%? 4 8. Ifa balance of $20,000 grew to S29,816.66 in years, determine the rate of interest. A. 4% compounded weekly B. 5% compounded weekly C. 4% compounded monthly D. 5% compounded monthly 10 The aranh chows tho vala ofan Shot on OnePlus ount o fter By VKJ
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