SOLUTION: the length of time, t (in days), for 25 animals of a particular variety to grow to a population,p, is given by the function: {{{t(p)= ln(p/25)/0.12}}}. Round to the nearest tenth,

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: the length of time, t (in days), for 25 animals of a particular variety to grow to a population,p, is given by the function: {{{t(p)= ln(p/25)/0.12}}}. Round to the nearest tenth,       Log On


   



Question 874593: the length of time, t (in days), for 25 animals of a particular variety to grow to a population,p, is given by the function: t%28p%29=+ln%28p%2F25%29%2F0.12. Round to the nearest tenth, what will the population of animals be after 48 hours?
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Q:
The length of time, t (in days), for 25 animals of a particular variety to grow to a population,p, is given by the function: t%28p%29=+ln%28p%2F25%29%2F0.12. Round to the nearest tenth, what will the population of animals be after 48 hours?
A:
We want to find p such that
t%28p%29 = 2 [48 hours = 2 days]
ln%28p%2F25%29%2F0.12 = 2, multiply both sides by 0.12
ln%28p%2F25%29 = 0.24
p%2F25+=+e%5E0.24
p+=+25%28e%5E.24%29 = highlight%2831.8%29