Question

Suppose the population of a town is 100,000 in 1999. The population increases at a rate of 4.5% each year. What will be the population of the town in 2005?

Answer 1

If you had an equation of the rate of change, then you could solve with dy/dt, but you could do this by multiplying by .045 and add it to the original value I guess. Afraid I don't remember the exact formula

Answer 2

@jim_thompson5910

Answer 3

We're going to use the formula

A = P(1+r)^t

and this time the formula is correct because the population is increasing 5% each year.

Answer 4

In this case, P = 100000, r = 0.045 and t = 6 (because 6 years have passed from 1999 to 2005)

Answer 5

So we go from

A = P(1+r)^t

to

A = 100000(1+0.045)^6

Answer 6

what happens next?

Answer 7

A= 130,226

Answer 8

you nailed it

Answer 9

very nice job

Answer 10

Thank you!

Answer 11

you're welcome