Question 258729
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.