SOLUTION: The town of Dover currently has a population of 6500. If its population is increasing at a rate of 1200 people per year, how long will it take for the population to reach 20,600?

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Question 258729: The town of Dover currently has a population of 6500. If its population is increasing at a rate of 1200 people per year, how long will it take for the population to reach 20,600?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
p = 6500
f = 20600
g = 1200

formula would be:

f = p + (n * g)

f = future value
p = present value
g = growth per year
n = number of years

we are solving for n.

formula becomes:

20600 = 6500 + (1200 * n)

subtract 6500 from both sides of the equation to get

20600 - 6500 = 1200*n

simplify to get:

14100 = 1200*n

divide both sides by 1200 to get:

14100 / 1200 = n

simplify to get:

11.75 = n

it will take 11.75 years for the population to reach 20600.

.75 years * 12 months per year = 9 months

that's equivalent to 11 years and 9 months.

11.75 * 1200 = 14100 + 6500 = 20600 confirming the answer is good.

the answer is:

it will take 11.75 years for a population of 6500 to reach 20600 with a growth rate of 1200 people per year.