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
521 feet of streamers and ribbon
This is because 7 yards = 21 feet and 500 + 21 is 521. Hope this helped!
Answer:
step,by, step explanation
Answer:
B. m, (3m +1), and (m +2)
Step-by-step explanation:
The product of the constants in the binomials must be +2 in order for those binomials to be factors of the volume expression. That is only the case for ...
B. m, (3m +1), and (m +2)
The unit rate would be $5.50.
You would do $16.50/3=5.5
Check: 5.5*3=16.5
Answer: One pizza costs $5.50- (unit rate for one pizza).
Hope this helps!
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