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The exponential function

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The exponential function 

N = 3.93 × 1.34d

 gives the approximate U.S. population, in millions, d decades after 1790. (The formula is valid only up to 1860.)

(a) What is the yearly growth factor? (Round your answer to two decimal places.)
 

Find a formula that gives the population y years after 1790.
N = 

 



(b) What is the century growth factor? (Round your answer to two decimal places.)


Find a formula that gives the U.S. population c centuries after 1790. (Assume that the original formula is valid over several centuries.)
N = 

 Mar 28, 2020

1+0 Answers

 #1
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a. 10yrs=1 decade so, 1.34 to the 1/10 gives you 1.03 {1.34^1/10}=1.03 YEARLY GROWTH FACTOR

 3.93 x1.03^y FORMULA

b. 1.34^10=18.67 CENTURY GROWTH FACTOR=18.67

so 3.93 x 18.67^c FORMULA You raise the 1.34 by 10 because there are 10 decades in 1 century.  

 Mar 28, 2020
edited by Shaezy  Mar 28, 2020
edited by Shaezy  Mar 28, 2020

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