Exponential Functions & Logarithms Questions
2 .Assume that the number of viruses present in a sample is modeled by
the exponential function f(t) = 10t, where t is the elapsed time in
How would you apply logarithms to determine when the sample will grow
to 5 billion viruses?
4. Maya has deposited $600 in an account that pays 5.64% interest, compounded continuously. How long will it take for her money to double.
I have the following:
A = Pe^rt
A = 600e^(5.64)(t)
1200 = 600e^(5.64)(t)
2 = e^(5.64)(t)
ln(2) = ln(e)^(5.64)(t)
ln(2) = 5.64t
(ln(2))/5.64 = t
Is this correct?
7. A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another 5 minutes, etc. How long until 100 million computers are infected?