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September 21, 2014

September 21, 2014

Posted by **samantha** on Monday, November 1, 2010 at 5:40pm.

a) predict the population in 2016, to the nearest thousand.

b) during which year will the population reach 258 thousand?

- college algebra HELP -
**Reiny**, Monday, November 1, 2010 at 6:21pmI will assume that t is the time in years since 2004

P(t) = 166 e^(.015t)

a)

so for 2016 , t = 12

P(12) = 166 e^(12(.015)) = 166 e^.18 = 198.7 thousand or 199 thousand

b) 258 = 166 e^.015t

1.55422 = e^.015t

.015t = ln 1.55422

t = ln1.55422/.015 = 29.4 years since 2004

or in the year 2033

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