Question

A city's current population is 500,000 people. It is growing at a rate of 2.5% per year. The equation p = 500,000(1.025)^x models the city's population growth where x is the number of years from the current year. In approximately how many years will the population be 640,000?

Answer 1

if p=640,000 you have:
640,000 = 500,000(1.025)^x
solving for x:
640,000 / 500,000 = (1.025)^x

using log in both sides of equation:

log(640/500) = log(1.025)^x

by applying properties you get:

log(640/500) = x log(1.025)

then: x = log(640/500)/log(1.025)

Answer 2

sooo is the answer 15

Answer 3

10