# Math

posted by .

#5. If a rancher has one cow with a contagious disease in a herd of 1000, then the time in days “t” for “n” of the cows to become infected is modelled by:

t= -5ln((1000-n)/999n

where “ln()” stands for natural logarithm function.

a) Find the number of days that it takes for the disease to spread to 100, 200, 998, and 999 cows.

b) Graph the number of infected cows in the x-axis versus the time in days it takes for infection in the y-axis.

This model, called a logistic growth model, describes how a disease can spread very rapidly at first and then very slowly as nearly all of the population has become infected.

• Math -

100, 23.55
200, 27.6
998, 65.6
999, 69,1 and you can find points in between to make your graph, It will be an upward graph to the left

• Math -

Sorry to the right

## Similar Questions

1. ### economics

3. Farmer Jones and Farmer Smith graze their cattle on the same field. If there are 20 cows grazing in the field, each cow produces \$4000 of milk over its lifetime. If there are more cows in the field, then each cow eats less grass, …
2. ### math

a framer divides his herd of cows anong his 4 sons, one get 1/2, second get 1/4, 3rd gets 1/5 and the 4th get 7. how many cows are in the herd?
3. ### Math

A farmer died and left 17 cows to be divided among three workers. The first worker was to receive of the cows, the second worker was to receive of the cows, and the third worker was to receive of the cows. The executor of the farmer’s …
4. ### Algebra

A contagious disease is infecting residents of a town of 7,300 residents. The number of residents infected t days after the disease has begun is given by the function f(t)=(7300)/1+500e^-0.5 t How many residents are infected with the …
5. ### Math

Scientists are researching a contagious disease. They found that, on average, each person who is infected transmits the disease to 0.03 other people within one year. Currently, there are 3,000 infected people in the country. Use Excel …
6. ### algebra

A contagious disease is infecting residents of a town of 7,300 residents. The number of residents infected t days after the disease has begun is given by the function f(t)= 7300/1+500e-0.5t How many residents are infected with the …
7. ### Math

one Percentage increase / decrease formula in excel that full all the conditions that are mentioned below 2012 2011 1 0 0 2 0 500 3 500 0 4 500 1000 5 1000 500 6 500 (1000) 7 (1000) 500 8 (500) (1000) 9 (1000) (500) Dear its urgent
8. ### science

3. Which of the following is an example of inbreeding?
9. ### Algebra

(I skipped the lengthy work problem background as it is irrelevant) The number of bacteria needed to break down an oil spill is 1000000 per millitre of oil. The bacteria double in number every two days.The starting concentration of …
10. ### statistics

A lottery offers one \$10000 prize, one \$5000 prize and five \$1000 prizes. 1000 tickets are sold at \$30 each . Find the expectation if a person buys one ticket workings: 9970/1000+4970/1000+4850/1000-29790/1000 = -10000/1000 =-\$10

More Similar Questions