The function N(t)=frac{12,000}{1+999 e^{-t}} models the number of people in a small town who have caught the flu t weeks after the initial outbreak. Step 2 of 2 : How many people have caught the flu after 12 weeks? Round to the nearest person.

Question

Accepted Answer

Step:1 ：Substitute (t=12) into the function (N(t)) to get (N(12)=frac{12,000}{1+999 e^{-12}}).Step:2 ：Calculate the value of the exponent: (e^{-12} approx 6.14421235332821 times 10^{-6}).Step:3 ：Multiply this value by 999: (999 times 6.14421235332821 times 10^{-6} approx 0.0061380679409946).Step:4 ：Add 1 to this result: (1 + 0.0061380679409946 approx 1.0061380679409946).Step:5 ：Divide 12,000 by this result: (frac{12,000}{1.0061380679409946} approx 11922.22).Step:6 ：Round to the nearest person to get the final answer: (boxed{11922}) people have caught the flu after 12 weeks.

Answer

Step: 1 ：Substitute (t=12) into the function (N(t)) to get (N(12)=frac{12,000}{1+999 e^{-12}}).Step: 2 ：Calculate the value of the exponent: (e^{-12} approx 6.14421235332821 times 10^{-6}).Step: 3 ：Multiply this value by 999: (999 times 6.14421235332821 times 10^{-6} approx 0.0061380679409946).Step: 4 ：Add 1 to this result: (1 + 0.0061380679409946 approx 1.0061380679409946).Step: 5 ：Divide 12,000 by this result: (frac{12,000}{1.0061380679409946} approx 11922.22).Step: 6 ：Round to the nearest person to get the final answer: (boxed{11922}) people have caught the flu after 12 weeks.

The function $N (t) = \frac{12, 000}{1 + 999 e^{- t}}$ models the number of people in a small town who have caught the flu $t$ weeks after the initial outbreak. Step 2 of 2 : How many people have caught the flu after 12 weeks? Round to the nearest person.

Answer

Popular Problems

The function N(t)=12,0001+999e−t models the number of people in a small town who have caught the flu t weeks after the initial outbreak. Step 2 of 2 : How many people have caught the flu after 12 weeks? Round to the nearest person.

Answer

Popular Problems

The function $N (t) = \frac{12, 000}{1 + 999 e^{- t}}$ models the number of people in a small town who have caught the flu $t$ weeks after the initial outbreak. Step 2 of 2 : How many people have caught the flu after 12 weeks? Round to the nearest person.