Suppose

Upper N left parenthesis t right parenthesis equals $200$ times $2$ Superscript tN$($t$)=2002$t$,$

$$t$=0,1,2,...$ and one unit of time corresponds to

$5$

hours. Determine the amount of time it takes the population to triple in size.

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Part $1$

The population will triple in

enter your response here

hours.

$($Type an integer or decimal rounded to two decimal places as$$ needed.$)$