Algebra
posted by Laurie .
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 disease after 6 days?

When 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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