Question

What are some interesting applications of exponential functions

Answer 1

The population of a city is P = 250,342*e^0.012t where t = 0 represents the population in the year 2000.

To find the population in the year 2010, we need to let t = 10 in our given equation.

P = 250,342*e0^.012(10)

= 250,342*e^0.12

= 282,260

2).exponential decay problem is very similar to working with population growth...in the case of decrease or decay, the value of k will be negative.

3).Suppose your parents invest $1000 in a savings account for college at the time you are born. The average interest rate is 4% and is compounded quarterly. How much money will be in the college account when you are 18 years old?

formula and let P = 1000, r = 0.04, n = 4 and t = 18.