Question

Is there anyone who can help me with my practice math hw ?

Answer 1

`x=31.32\text{Thousandyears}`

Step-by-step explanation: We have to find the number of years that it would take for the population to reach 700 thousand, the step by step calculations are as follows:

`\begin{gathered} P(x)=200e^((0.04x)) \\ 700=200e^((0.04x)) \\ e^((0.04x))=(700)/(200)=(7)/(2)=3.5 \\ 0.04x=ln(3.5) \\ x=(ln(3.5))/(0.04)=(1.2527629685)/(0.04)=31.3190742124 \\ x=31.3190742124 \\ x=31.32\text{ Thousand years.} \end{gathered}`

Therefore the answer is, it would take 31.32 thousand years for the population to reach 700 thousand.