Question
Asked Jan 19, 2020
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A new fast-food firm predicts that the number of franchises for its products will grow at the rate
dn
9/t + 1
dt
where t is the number of years, 0 <t<15. If there is one franchise (n = 1) at present (t = 0), how many franchises are predicted for 3 years from now?
X franchises
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A new fast-food firm predicts that the number of franchises for its products will grow at the rate dn 9/t + 1 dt where t is the number of years, 0 <t<15. If there is one franchise (n = 1) at present (t = 0), how many franchises are predicted for 3 years from now? X franchises

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Expert Answer

Step 1

Given,

Calculus homework question answer, step 1, image 1
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Step 2

To find n, we integrate the given function by seperating the variables:

Calculus homework question answer, step 2, image 1
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Step 3

Given that when t=0, n =1.

Therefo...

Calculus homework question answer, step 3, image 1
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Tagged in

Math

Calculus