7:50 PM Sat Mar 21 * 97%| 41. The population of Nilam doubles in size every 9 yr. In 1990, its population was 10,000. a. Find an exponential function of the form P(t) = Po n'T that models Nilam's population after t years. b. Find the equivalent exponential model of the form Pt) = Po e" . c. What is Nilam's yearly percentage growth rate? d. Without using a calculator, find Nilam's population in 2017. e. How fast was Nilam's population changing in 2008? 42. Justin's investment of $5000 doubles in size every 8 yr. t/T a. Find an exponential function of the form A(t) = Ao n'" that models the value of Justin's account after t years. b. Find the equivalent exponential model of the form A(t) = Ao e" . c. What is the account's yearly percentage growth rate? d. Without using a calculator, find the value of Justin's account after 16 yr. e. How fast is the value of Justin's account changing after 24 yr? 43. Beth originally had 50 followers of her blog. After she published her memoir, the number of followers tripled every 7 months. a. Find an exponential function of the form F(t) = Fo n'T that models the number of followers of Beth's blog aftert months. b. Find the equivalent exponential model of the form F(t) = Fo e" . c. What is the monthly percentage growth rate of the number of followers? d. Without using a calculator, find the number of followers of Beth's blog after 14 months. e. How fast is the number of followers changing after 21 months? 44. A strain of bacteria is grown in a laboratory. The original sample had a mass of 0.005 mg. The population quintuples every 36 hr. a. Find an exponential function of the form M(t) = Mo n'T that models the mass of the bacteria after t hours. b. Find the equivalent exponential model of the form M(t) = Mo e" . c. What is the hourly percentage growth rate of the bacteria? d. Without using a calculator, find the mass of the bacteria after 72 hr.
7:50 PM Sat Mar 21 * 97%| 41. The population of Nilam doubles in size every 9 yr. In 1990, its population was 10,000. a. Find an exponential function of the form P(t) = Po n'T that models Nilam's population after t years. b. Find the equivalent exponential model of the form Pt) = Po e" . c. What is Nilam's yearly percentage growth rate? d. Without using a calculator, find Nilam's population in 2017. e. How fast was Nilam's population changing in 2008? 42. Justin's investment of $5000 doubles in size every 8 yr. t/T a. Find an exponential function of the form A(t) = Ao n'" that models the value of Justin's account after t years. b. Find the equivalent exponential model of the form A(t) = Ao e" . c. What is the account's yearly percentage growth rate? d. Without using a calculator, find the value of Justin's account after 16 yr. e. How fast is the value of Justin's account changing after 24 yr? 43. Beth originally had 50 followers of her blog. After she published her memoir, the number of followers tripled every 7 months. a. Find an exponential function of the form F(t) = Fo n'T that models the number of followers of Beth's blog aftert months. b. Find the equivalent exponential model of the form F(t) = Fo e" . c. What is the monthly percentage growth rate of the number of followers? d. Without using a calculator, find the number of followers of Beth's blog after 14 months. e. How fast is the number of followers changing after 21 months? 44. A strain of bacteria is grown in a laboratory. The original sample had a mass of 0.005 mg. The population quintuples every 36 hr. a. Find an exponential function of the form M(t) = Mo n'T that models the mass of the bacteria after t hours. b. Find the equivalent exponential model of the form M(t) = Mo e" . c. What is the hourly percentage growth rate of the bacteria? d. Without using a calculator, find the mass of the bacteria after 72 hr.
Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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#43D, #43E
Transcribed Image Text:7:50 PM Sat Mar 21
* 97%|
41. The population of Nilam doubles in size every 9 yr. In 1990, its population
was 10,000.
a. Find an exponential function of the form P(t) = Po n'T that models
Nilam's population after t years.
b. Find the equivalent exponential model of the form Pt) = Po e" .
c. What is Nilam's yearly percentage growth rate?
d. Without using a calculator, find Nilam's population in 2017.
e. How fast was Nilam's population changing in 2008?
42. Justin's investment of $5000 doubles in size every 8 yr.
t/T
a. Find an exponential function of the form A(t) = Ao n'" that models the
value of Justin's account after t years.
b. Find the equivalent exponential model of the form A(t) = Ao e" .
c. What is the account's yearly percentage growth rate?
d. Without using a calculator, find the value of Justin's account after 16
yr.
e. How fast is the value of Justin's account changing after 24 yr?
43. Beth originally had 50 followers of her blog. After she published her memoir,
the number of followers tripled every 7 months.
a. Find an exponential function of the form F(t) = Fo n'T that models the
number of followers of Beth's blog aftert months.
b. Find the equivalent exponential model of the form F(t) = Fo e" .
c. What is the monthly percentage growth rate of the number of
followers?
d. Without using a calculator, find the number of followers of Beth's
blog after 14 months.
e. How fast is the number of followers changing after 21 months?
44. A strain of bacteria is grown in a laboratory. The original sample had a mass
of 0.005 mg. The population quintuples every 36 hr.
a. Find an exponential function of the form M(t) = Mo n'T that models
the mass of the bacteria after t hours.
b. Find the equivalent exponential model of the form M(t) = Mo e" .
c. What is the hourly percentage growth rate of the bacteria?
d. Without using a calculator, find the mass of the bacteria after 72 hr.
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