Question 59745
(a)
{{{ P=27345*e^(.005t)}}}
{{{P = 27345*e^(.05)}}}
my calculator says {{{e^(.05) = 1.05127}}}
{{{P = 27345*1.05127}}}
{{{P = 28747}}} answer
(b)
{{{ P=27345e^(.005t)}}}
{{{32000 = 27345*e^(.005t)}}}
{{{32000 / 27345 = e^(.005t)}}}
{{{ln(1.17023) = ln(e^(.005t))}}}
{{{.15721 = .005t}}} 
{{{t = .15721 / .005}}}
{{{t = 31.44}}}
It will take 31.44 years for population to reach 32000