Sales of a product, under relatively stable market conditions but in the absence of promotional activities such as advertising, tend to decline at a constant yearly rate. This rate of sales decline varies considerably from product to product, but seems to remain the same for any particular product. The sales decline can be expressed by the function defined by the next formula. S(t)=So e at In this formula S(t) is the rate of sales at time t measured in years, So is the rate of sales at time t= 0 and a is the sales decay constant. If a = 0.09 and So=90,000, find the number of years it will take for sales to fall to half the initial sales. It will take about years for sales to fall to half the initial sales. (Type an integer or decimal rounded to the nearest tenth as needed.)

Sales of a product, under relatively stable market conditions but in the absence of promotional activities such as advertising, tend to decline at a constant yearly rate. This rate of sales decline varies considerably from product to product, but seems to remain the same for any particular product. The sales decline can be expressed by the function defined by the next formula. S(t)=So e at In this formula S(t) is the rate of sales at time t measured in years, So is the rate of sales at time t= 0 and a is the sales decay constant. If a = 0.09 and So=90,000, find the number of years it will take for sales to fall to half the initial sales. It will take about years for sales to fall to half the initial sales. (Type an integer or decimal rounded to the nearest tenth as needed.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

of a product under relatively stable market conditions but in the absence of promotional activities such as advertisingtend to decline at a constant yearly rateThis rate of sa

Sales of a product, under relatively stable market conditions but in the absence of promotional activities such as advertising, tend to decline at a constant yearly rate. This rate of sales decline varies considerably from product to
product, but seems to remain the same for any particular product. The sales decline can be expressed by the function defined by the next formula.
S(t)=So eat
In this formula S(t) is the rate of sales at time t measured in years, So is the rate of sales at time t= 0 and a is the sales decay constant. If a = 0.09 and So=90,000, find the number of years it will take for sales to fall to half the
initial sales.
It will take about years for sales to fall to half the initial sales.
(Type an integer or decimal rounded to the nearest tenth as needed.)
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