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Sales representitves of a new line of computers predict that sales can be approximated by the function S(t) = 800 + 450 ln (3t+e), where t is measured in years. What are the predicted sales in 19 years? (Round off to nearest whole number) 

 

1.) S(t) = 800 + 450 ln (3t+e)

2.) 5(19) = 800 + 450 ln (3(19)+e)

3.) 5(19) = 800 + 450 ln (57+e)

Answer: 5(19) = 2640.33 = 2640 

I got lost at step 3. How did they calcuate 2640.33? 

 Nov 13, 2014

Best Answer 

 #4
avatar+118710 
+5

You want e

On the site calc you can just enter e in the enter box.

On some calcs if you just want e you enter  e^1

I am not sure if that is any help   

 Nov 14, 2014
 #1
avatar+26398 
+5

5(19) = 800 + 450 ln (3(19)+e)  ?

e = 2.71828182845904523536028747135266249775724709369995... // Euler number

S(19)=800+450ln(319+2.71828182846)S(19)=800+450ln(57+2.71828182846)S(19)=800+450ln(59.7182818285)S(19)=800+4504.08963820180S(19)=800+1840.33719081S(19)=2640.33719081S(19)2640

 Nov 13, 2014
 #2
avatar
0

Oh! I forgot to plug in the answer to e. Thanks for reminding me! 

 Nov 13, 2014
 #3
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0

Shoot, how do you get that number again? I've been pressing ln and e together. It says error. 

 Nov 13, 2014
 #4
avatar+118710 
+5
Best Answer

You want e

On the site calc you can just enter e in the enter box.

On some calcs if you just want e you enter  e^1

I am not sure if that is any help   

Melody Nov 14, 2014

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