Question

I need help solving this math question on a homework assignment

Answer 1

Given the following question:

5.53 million in 2012

Growth rate is 3.01%

Part A and B:

`\begin{gathered} (p* n)/(100) \\ (3.01*5530000)/(100)=16645300/100=166453 \\ GR=166453\text{ per year} \\ P(t)=5530000+166453t \\ t=years \\ t=6 \\ P(t)=5530000+166453(6) \\ 166453*6=998718 \\ 5530000+998718=6528718 \\ P(6)=6528718 \end{gathered}`

Part C:

`\begin{gathered} P(6)=6528718 \\ 6528718+998718=7527436 \\ P(t)=7527436+166453(3) \\ 166453(3)=499359 \\ 499359+7527436=8026795 \end{gathered}`

Starting from the initial amount of 553000 it would take a little under 15 years for the population to reach 8 million people. I wouldn't take this as the actual answer because it may be asking for the exact amount of time, only take it as the real answer if it's asking for a rough estimate or such.

Part D:

I am unable to answer.