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?
+26400 5(19) = 800 + 450 ln (3(19)+e) ?
e = 2.71828182845904523536028747135266249775724709369995... // Euler number
$$S(19) = 800 + 450* \ln{(3*19+ 2.71828182846 )} \\
S(19) = 800 + 450* \ln{(57+2.71828182846 ) } \\
S(19) = 800 + 450* \ln{ (59.7182818285) } \\
S(19) = 800 + 450* 4.08963820180 \\
S(19) = 800 + 1840.33719081 \\
S(19) = 2640.33719081 \\
S(19) \approx 2640$$
