Answer:
Reduce
Step-by-step explanation:
It will reduce because the factor is less than 1 so it cannot enlarge and it is not the same as the 1 so it cannot preserve.
Since she had $35.48 on her card.
Amount spent in buying coffee = $70 - $35.48 = $34.52
Cost of coffee = $8.63 per pound
No of pounds = Amount spent / cost per pound
= 34.52 / 8.63 Use your calculator.
= 4
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
General equation for height, h
h = ut + 0.5gt^2
at t=1s, h = 76 feet
76 = u*1 + 0.5*a*1^2
76 = u + 0.5a
at t=2s, h = 144 feet
144 = u*2 + 0.5*a*2^2
144 = 2u + 2a
72 = u + a
Subtract 2 equations
0.5a = -4
a = -8
u = 80
So the equation,
h(x) = 80t + 0.5*(-8) t^2
h(x) = 80t - 4t^2
Each friend will get 1.35 pounds of pecans.
To find this, simply divide 16.2 by 12 to find the weight of pecans everyone gets. Thus making 1.35 pounds of pecans the answer.
I hope this helps!