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Solve the Problem P(t)=0.00009t3+0.024t2+10.5t+1800\mathrm { P } ( \mathrm { t } ) = - 0.00009 \mathrm { t } ^ { 3 } + 0.024 \mathrm { t } ^ { 2 } + 10.5 \mathrm { t } + 1800

question 61

Multiple Choice

Solve the problem.
-Ariel, a marine biologist, models a population P of crabs, t days after being left to reproduce, with the function P(t) =0.00009t3+0.024t2+10.5t+1800\mathrm { P } ( \mathrm { t } ) = - 0.00009 \mathrm { t } ^ { 3 } + 0.024 \mathrm { t } ^ { 2 } + 10.5 \mathrm { t } + 1800
Assuming that this model continues to be accurate, when will this population become extinct? (Round to the nes day.)


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