The population of a county is growing at a rate of 9% per year, compounded continuously. how many years will it take for the population to quadruple according to the exponential growth function?

Step-by-step explanation:

The  exponential growth function compounded continuously is equal to

where  

A is the final population  

P is the initial population  

r is the rate of growth in decimal  

t is Number of years

e is the mathematical constant number

we have  

substitute in the function above

simplify

Take natural log of both sides

step-by-step explanation:

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.