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

Question

anonymous · Answer

attachment

anonymous · Answer

OK, you have the formula

anonymous · Answer

$$P = A* e^{k*t}$$

anonymous · Answer

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

anonymous · Answer

$$120m = 114m * e^{k*6}$$

anonymous · Answer

you need to solve for k

anonymous · Answer

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

anonymous · Answer

then you need determine the population in 2014

anonymous · Answer

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

anonymous · Answer

it is division, there is only multiplication going on here

anonymous · Answer

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