3 is the digit that is in the 10 millions place
Answer:
I tried my best so I hope this helps :)
(look at the screenshots for the work I don't feel like typing it out)
Step-by-step explanation:
1.) the solution is ,
2.) the solution is
3.) the solution is
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
<u>So with more than one pair of parentheses, you must start from the inside and make your way outside.</u>
So firstly, distribute -3 to (2x + 4):
Next, combine like terms:
Next, distribute 2 to [-6x - 20]:
Lastly, combine like terms and <u>your final answer will be </u>
Answer:
the initial population P₀ was 5938 people
Step-by-step explanation:
since the rate of increase of the population is proportional to the population itself, then the corresponding equation for a population P and time t is
dP/dt = k*P , where k= proportionality constant
dP/P = k*dt
∫dP/P =∫ k*dt
integrating between time t=0 (with P=P₀) and time t=t (with P=P)
ln (P/P₀)=k*t
if the population doubled , so P=2*P₀ at t=5 years then
ln (2*P₀/P₀)=k*5 years
k = ln 2 / 5 years
then the population is P=9000 for t= 3 years
ln (9000/P₀)=k*3 years
ln (9000/P₀)=ln 2 / 5 years *3 years
solving for P₀
P₀ = 9000 people * e^ (- ln 2 / 5 years *3 years ) = 9000 people *2 ^(-3 years / 5 years) = 5937.78 people ≈ 5938 people
therefore the initial population P₀ was 5938 people