Equilibrium is point where supply = demand
Solve with substitution.
From supply equation ---> q = 2p - 63
Sub into demand equation ---> (p+30)(2p-63+25) = 2584
Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38
Sub back into supply equation to find q
q = 2(38) - 63
q = 13
Answer: Equilibrium is 13 units sold at price of $38.
Answer:
144π
Step-by-step explanation:
we need the radisu
circumference formula: 2πr
2πr=24π
12=r
area formula:
πr²
12²π= 144π
Answer:
-52/75
Step-by-step explanation:
Answer:
When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.
0 = -(x-2)^2 + 16
(x-2)^2 = 16
x-2 = 16
x-2 = 4
x = 6
This means the ball will hit the ground 6 seconds after Amir threw it.
Step-by-step explanation:
Answer:
p=ak^t
p1=491272*k^0
p2=782341*k^10
782341/491272 = k^10
k=1.047629
growth rate is 4.7629%
2012: predicted population is 491272*1.047629^12=858,642 people
1245863=491272*1.047629^t
1.047629^k=2.5363599
ln both sides is k ln 1.0476=ln 2.5363
t=20.000 years.
Rule of 72 would say 72/4.76 or 15.12 years for doubling
14.90 years
2017 predicted is 491272*1.0476^17 or 1083552, or more than actual, so the rate of growth is slowing down.
