Question 190667
{{{N(t)=(3500)/(1+19.9e^(-0.6t))}}} Start with the given function.



{{{N(15)=(3500)/(1+19.9e^(-0.6(15)))}}} Plug in {{{t=15}}}.



{{{N(15)=(3500)/(1+19.9e^(-9))}}} Multiply -0.6 and 15 to get -9



{{{N(15)=(3500)/(1+19.9(0.000123))}}} Raise "e" to the negative 9th power to get 0.000123



{{{N(15)=(3500)/(1+0.00245)}}} Multiply 19.9 and 0.000123 to get 0.00245



{{{N(15)=(3500)/(1.00245)}}} Add 1 to 0.00245 to get 1.00245



{{{N(15)=3491.445}}} Divide



So rounding to the nearest whole number (since 0.445 of a person doesn't make sense), we get 3,491 people. 


So after 15 days, about 3,491 people are infected.