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August 27, 2014

August 27, 2014

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.

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