1. The population of Normal, Illinois grows proportionally to its population at time t. At an initial population of 1500, it grows at a rate of 12% over 9 years. What is the value of the proportionality constant? a. 0.01259/yr b. 0.004435/yr c. 0.004856/yr d. 0.00767/yr 2. What is the population of Normal, Illinois in 30 years? a. 2188 people b. 3655 people c. 2643 people d. 5553 people 3. A sample of organic origin was tested to determine its approximate age. About 52% of its C-14 had decayed. Use a half life value of 5730 years to determine how old the sample is. a. 6067.37 years b. 11,136 years c. 8219 years d. 17,527 years 4. A prehistoric artifact was recently found off the coast of Borneo. Based on carbon dating, approximately 88% of the C-14 remained. Use the half-life of C-14 as 5,730 years. What is the approximate age of the artifact? a. 1057 years b. 2489 years c. 5406 years d. 3819 years 5. A 400-L tank initially contains 40 kg of KCl. There is an incoming flow rate of 8 L/min of a 2 kg KCl/L solution, The exiting flow rate is the same as the incoming flow rate. What is the value of c? a. 730 b. 760 kg c. 740 kg d. 750 kg

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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1. The population of Normal, Illinois grows proportionally to its population at time t. At an initial population of 1500, it grows at a rate of 12% over 9 years. What is the value of the proportionality constant?
a. 0.01259/yr
b. 0.004435/yr
c. 0.004856/yr
d. 0.00767/yr

2. What is the population of Normal, Illinois in 30 years?
a. 2188 people
b. 3655 people
c. 2643 people
d. 5553 people

3. A sample of organic origin was tested to determine its approximate age. About 52% of its C-14 had decayed. Use a half life value of 5730 years to determine how old the sample is.
a. 6067.37 years
b. 11,136 years
c. 8219 years
d. 17,527 years

4. A prehistoric artifact was recently found off the coast of Borneo. Based on carbon dating, approximately 88% of the C-14 remained. Use the half-life of C-14 as 5,730 years. What is the approximate age of the artifact?
a. 1057 years
b. 2489 years
c. 5406 years
d. 3819 years

5. A 400-L tank initially contains 40 kg of KCl. There is an incoming flow rate of 8 L/min of a 2 kg KCl/L solution, The exiting flow rate is the same as the incoming flow rate. What is the value of c?
a. 730
b. 760 kg
c. 740 kg
d. 750 kg

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