Thursday

January 29, 2015

January 29, 2015

Posted by **Laurie** on Sunday, August 2, 2009 at 4:06pm.

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 disease after 6 days?

- Algebra -
**MathMate**, Sunday, August 2, 2009 at 4:42pmWhen you transcribe formulae involving fractions written in full to a single line, please do not forget that numerators and denominators have implicit parentheses around them.

As an example, instead of writing 7300/1+t, it should be written as 7300/(1+t).

I suspect the same applies to the above equation. I interpret it as

f(t):=7300/(1+500*e^^{(-0.5)*t})

If you follow the correct priority of operations (using your original equation), you should arrive at

f(6) = 281.92 = 282 persons.

The order of operations calls for calculating -0.5t first, then do the exponentiation in the denominator, multiply by 500 and add to 1.

Finally, divide 7300 by the resulting number in the denominator.

Remember, a badly transcribed formula gives equally bad results.

**Answer this Question**

**Related Questions**

algebra - A contagious disease is infecting residents of a town of 7,300 ...

Math - Write the ratio as a fraction in lowest terms of the number of residents ...

calculus - The rate at which a rumor spreads through an Alpine village of 400 ...

Math - #5. If a rancher has one cow with a contagious disease in a herd of 1000...

algebra - Town has popultion of 5,000.Number of people infected after t days ...

ap stats - Based on historical data, an Oregon university enrolls 17% graduates ...

algebra - A welfare association collected Rs.202500/- as a donation from the ...

algebra - In 2000, 49% of the residents in a large city regularly used ...

Quantitative Methods II - The monthly income of residents of Daisy City is ...

math - Recently a census was taken on space station Gamma. Of the 100 residents ...