SOLUTION: The problem is to use the equation p=7t^2+2500: 2500 is current population, to find how many years it would take for the population to reach 12,000.round to the nearest whole year

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Question 151922: The problem is to use the equation p=7t^2+2500: 2500 is current population, to find how many years it would take for the population to reach 12,000.round to the nearest whole year when necessary.
Found 2 solutions by nabla, Earlsdon:
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
Then we want:
12000=7t^2+2500
0=7t^2-9500
and
9500/7=t^2
so
Sqrt(9500/7)=t (we exclude the negative solution)

t is approximately 37 years.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
It would be most helpful if you were to define the variables in the formula.
We'll assume that p = population and that t = time in years.
So, let's proceed on these assumptions:
p+=+7t%5E2%2B2500
You want to find the value of t (number of years) when p (the population) reaches 12,000.
Set p = 12,000
12000+=+7t%5E2%2B2500 Subtract 2500 from both sides of the equation.
9500+=+7t%5E2 Now divide both sides by 7.
1357.143+=+t%5E2 Finally, take the square root of both sides.
t+=+36.839
It would take about 37 years for the population to reach 12,000.