The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem dN N 0.1 N(1- -), N(O) = 1000. dt 50,000 where t is measured in months. The limiting value of the population and the time will take the population be equal to one-half of this limiting value respectively are a. 50,000, 38.9 b. 1000,000 34.9 C. 25,000 d. 50,000 42.6 55.5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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The number N(t) of supermarkets throughout the country that are using a computerized checkout
system is described by the initial-value problem
N
dN=0.1 N(1
dt
-), N(O) = 1000.
50,000
where t is measured in months.
The limiting value of the population and the time will take the population be equal to one-half of this
limiting value respectively are
a. 50,000,
b. 1000,000
C. 25,000
d. 50,000
O
O
a
38.9
34.9
42.6
55.5
Transcribed Image Text:The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem N dN=0.1 N(1 dt -), N(O) = 1000. 50,000 where t is measured in months. The limiting value of the population and the time will take the population be equal to one-half of this limiting value respectively are a. 50,000, b. 1000,000 C. 25,000 d. 50,000 O O a 38.9 34.9 42.6 55.5
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