Question

i really need help! i need answers and how you got it. please ( attachment below)

Answer 1

OK, you have the formula

Answer 2

\[P = A* e^{k*t}\]

Answer 3

so, in 6 years, from 1991 to 1997, the population grew from 114m to 120m

Answer 4

\[120m = 114m * e^{k*6}\]

Answer 5

you need to solve for k

Answer 6

to solve for k in
\[P=A∗e^{kt}\]
you will need do
\[e^{k∗t}=P/a\]
then,
\[ln(e^{k∗t})=ln(P/A)\]


this becomes

\[k∗t=ln(P/A)\]
, then solve or k -->
\[k=ln(P/A)/t\]


so plug in the values, P = 120, A = 114, t = 6 to solve for k

Answer 7

then you need determine the population in 2014

Answer 8

\[P=A*e^{k*13}\] t=13 here because 2014-1991 = 13 yeas

Answer 9

it is division, there is only multiplication going on here

Answer 10

this is a lot of work there is a shorter way which may be easier